Prepositions:
Direction (1-3): Read the sentences to find out whether there is any error based on prepositions in it. The error, if any, will be in one part of the sentence. The number of that part is the answer. If there is no error, then select option (D) as your answer. Ignore errors of punctuation, if any.
1. There have been doubts in weeks/(A) about the credibility of Presidential elections after/(B) it emerged that Yameen would be the only major candidate./(C) No Error/ (D)
Answer: Option (A)
Explanation: Option (A) is the right alternative as ‘in’ should be replaced with ‘for’ as ‘for’ is used to show time duration.
So, the correct sentence is ‘There have been doubts for weeks about the credibility of Presidential elections after it emerged that Yameen would be the only major candidate.’
2. The mixture carried by the storm was unhealthy because it had accumulated toxic/(A) substances of combustion sources/(B) in the wind’s route./(C) No Error/ (D)
Answer: Option (B)
Explanation: Option (B) is the right alternative as ‘from’ should replace ‘of’ as ‘from’ shows source of toxic substances.
So, the correct sentence is ‘The mixture carried by the storm was unhealthy because it had accumulated toxic substances from combustion sources in the wind’s route.’
3. All the Pollution control agencies will have to/(A) scale up their coordination/(B) along the India Meteorological Department./(C) No Error/ (D)
Answer: Option (C)
Explanation: Option (C) is the right alternative as ‘along’ is irrelevant. ‘With’ is used for ‘scale up’.
So, the correct sentence is ‘All the Pollution control agencies will have to scale up their coordination with the India Meteorological Department.’
Active & Passive Voice:
Directions(1-3): In the following Questions, A sentence has been given in Active/ Passive Voice. Out of Four Alternatives Suggested, select one, which best Expresses the same sentence in Active/ Passive voice.
1. Suresh was writing a letter to his boss.

A. A letter was written to his boss my Suresh. B. A letter was wrote by Suresh to his boss. C. A letter was being written by Suresh to his boss. D. A letter was written by Suresh to his boss.

Answer: Option (C)
2. Who ate the ice-cream?

A. Ice-cream was eaten by whom? B. Ice-cream was eaten by who? C. Ice-cream had been eaten by who? D. Ice-cream has been eaten by whom?

Answer: Option (A)
3. It is impossible to do this job.

A. This job is impossible to be done. B. This job cannot be done with. C. No one can do this job. D. This job cannot be done by anyone.

Answer: Option (A)
Joining Sentences:
Directions (1-3): In each of the following sentences, a word is missing and a phrase is given in bold in the sentence. From the options given below each question, choose the most appropriate pair that makes the sentence grammatically and contextually correct and meaningful.
1. Because of his tennis elbow ..............., Mohan has not been able to and possibly never will be able to pick up the bat again.

A. hit, be able to pick B. hurt, be able to pick C. injury, be able to pick D. breaking, have been able to pick E. scratch, be able to pick

Answer: Option (C)
2. Rajan was ………………… with his friends when the Manager, in accompaniment with his only social secretary, entered the garden.

A. gambling, accompanied only by his social secretary B. sit, accompany with his only social secretary C. sitting, accompanied only by his social secretary D. went, accompanied only by his social secretary E. strolling had accompanied only by his social secretary

Answer: Option (C)
3. Anyone………………….. in flying planes can learn much if you have access to a flight simulation machine.

A. interesting, you have excess to B. qualified, you have access to C. required you have been accessing to D. interested, he has access to E. hired, he has access to

Answer: Option (D)
Spotting Errors
1. To perform this experiment (a) / drop little sugar (b) / into a glass of water(c) / No error (d)

A. to perform this experiment B. drop little sugar C. into a glass of water D. no error

Answer: Option B
2. These display (a) / the (b) / remarkable variety (c) / No error (d)

A. these display B. the C. remarkable variety D. no error

Answer: Option B
3. These display (a) / the (b) / remarkable variety (c) / No error (d)

A. these display B. the C. remarkable variety D. no error

Answer: Option B
Synonyms:
1. What is the Synonym of the Word – Recalcitrant?

A. Obedient B. Disobedient C. Recall D. Suppress

Answer: Option (B)
2. Which of the following is the alternative word for “Carton”?

A. Animated Character B. Shoes C. Hotel D. Container

Answer: Option (D)
3. “Embezzle” – Identify a synonym for this word from the below-given options

A. Steal B. Gather C. Save D. Undervalue

Answer: Option (A)
Sentence Improvement:
Direction (1-3): In each of the questions given below, a sentence is given with a phrase/ part of the sentence put in BOLD. Five options follow each sentence, suggesting an improvement for the BOLD part to make a meaningful and correct sentence. Choose the best improvement from these and if the sentence is correct as it is, mark “No Improvement Required” as your answer.
1. You two can always count at me in the times of need.

A. Of me B. On me C. In me D. As me E. No Improvement Required

Answer: Option (B)
Explanation: Here the correct answer is option (B). Count on someone/something - To rely on someone or something.
2. All the allegations levelled against Nitesh were found to be baseless in the end.

A. For B. At C. Over D. On E. No Improvement Required

Answer: Option (E)
Explanation: The correct phrase here is ‘levelled against’. Hence the correct answer to the given question is option (E). No improvement is required in the given sentence.
3. Anmol would be look handsome in Indian attire

A. Would be looked B. Would have look C. Would look D. Would has looked E. No Improvement Required

Answer: Option (C)
Explanation: The correct statement will be – Anmol would look handsome in Indian attire.
Error Correction (Phrase in colour)
1. Unless I have a peaceful environment, I will be not able In case of preserving our sense of community and common citizenship, we have to keep things like police protection, freedom of education and basic education outside the realm of market, ensuring that they are provided equally to all.

A. In order to preserve B. In order to preserve C. In case to preserve D. In the order of preserving E. No correction required

Answer: Option B
Explanation: When there are two parts of a verb given in a sentence (will be) the negative has to come between the two (i.e) 'will not be'.
2. In case of preserving our sense of community and common citizenship, we have to keep things like police protection, freedom of education and basic education outside the realm of the market, ensuring that they are provided equally to all.

A. In order to preserve B. In order to preserve C. In case to preserve D. In the order of preserving E. No correction required

Answer: Option B
Explanation: 'In case of something' means if something happens the use of which is irrelevant in the given context. 'In order to do something' which means with the purpose or intention of doing or achieving something is most appropriate. Hence the correction is 'In order to preserve'.
3. You would not drive so fast; we have plenty of time.

A. will not B. had not C. need not D. do not E. No correction required

Answer: Option C
Explanation: The sentence suggests that driving fast is not necessary. Hence the most appropriate modal verb to suit this context would be 'need not'. 'Will not' suggests a simple future which is inapt. 'Had not' and 'do not' are illogical.
Para Completion:
Directions (1-3): In each of the following questions, a paragraph with a blank is given. From the five choices given below, select the sentence which can go into the blank to make the paragraph logically coherent.
1. For the market place to work effectively, the government has to lay down uniform rules for everyone and enforce them impartially. [__________] The interest of foreign businesses should not be given undue importance.

A. Foreign trade contributes very effectively to the nation’s exchequer. B. Foreign trade results in slump in the sales of indigenous products. C. The rules should be framed with the interest of the ordinary investor and the average citizen in mind. D. The government’s main business is ensuring fair play. E. Multinational companies can deter the progress of indigenous industries.

Answer: Option (C)
Explanation: The rules should be framed with the interest of the ordinary investor and the average citizen in mind. In the preceding sentence the author is talking about the ‘interest’ of investors, and option C carries the idea forward. Hence option C is the correct and most logical choice among given five choices.
2. Every school has one or more staff members who are passionate about technology, their enthusiasm is contagious. [__________] Consequently they never miss attending seminars and conferences.

A. They may seem unapproachable or intimidating. B. They are obsessed about keeping themselves updated. C. In their zeal to move ahead, they may leave others behind. D. Most educators of today did not take courses in computer application in college. E. It is good to have around people who are enthusiastic about computers.

Answer: Option (B)
Explanation: They are obsessed about keeping themselves updated. The last sentence of the given paragraph is the effect of the preceding sentence. Since they are updated all the time, they do not miss any seminars and conferences.
3. The education sector in India is poised for great change in the next decade, a move accelerated by the onslaught of information technology. [__________] The demand for innovative and committed teachers is expected to rise dramatically.

A. Computers can do everything a teacher can do but they can never replace the teacher. B. Teachers are likely to be replaced by computers. C. Teachers working with young children play a crucial role in the child’s development. D. It is generally believed that teaching is a career mainly suited for women. E. The teacher will continue to be the backbone of such a system.

Answer: Option (E)
Explanation: The teacher will continue to be the backbone of such a system. In this sentence the author has talked about the importance of the teachers in our education system.
Sentence Completion:
1. Although the villagers’ lives were profoundly different from her own, Jing-Mae felt a deep ______ for the people when she served in the Peace Corps.

A. reparation B. affinity C. injunction D. exigency E. analogy

Answer: Option B
Explanation: An affinity (n.) is a natural attraction or liking; a feeling of kinship, connection or closeness, similarity; relationship by marriage.
2. Sometimes late at night Sharon would gaze joyfully at her children as they slept and ______ in their innocence.

A. sneer B. ostracize C. revel D. repudiate E. antiquate

Answer: Option C
Explanation: To revel (v.) is to take great pleasure or delight.
3. In the famous balcony scene, Romeo ______ Juliet’s beauty in one of the most romantic soliloquies ever written.

A. sanctions B. extols C. peruses D. beguiles E. fetters

Answer: Option B
Explanation: To extol (v.) means to praise highly, exalt, glorify.
Fill in the blanks:
Directions (1 to 3): In each of the following questions a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the four answer choices given, to make the passage complete and coherent (coherent means logically complete and sound).If no option is suitable then select option (e) as your answer.
1. The law that everyone is innocent until declared guilty has been trampled upon with impunity. The handcuffing of a husband, his parents and brothers/sisters on the basis of a mere allegation exposes them to not just mental agony but also media trial and social disgrace. A subsequent acquittal does not restore them their lost self-respect and pride. ____________ The court has said the impounding of passports of non-resident Indians involved in marital disputes should be avoided.

A. The Supreme Court has acknowledged that women involved in marital disputes often abuse Section 498A of the IPC to target in-laws. B. Where they have parents to support, the maintenance amount awarded to a wife has to be reasonable. C. Relying on a conviction rate of just 15.6 percent in dowry cases, the Supreme Court has reached the conclusion that the blatant misuse of Section 498A has to stop. D. Though the appointment of such committees will add to the cost of administering justice in the country, the move would save innocents from unwarranted police harassment. E. None of these

Answer: Option (C)
Explanation: Relying on a conviction rate of just 15.6 percent in dowry cases, the Supreme Court has reached the conclusion that the blatant misuse of Section 498A has to stop.
2. After the apex court’s order, there were incidents of physical assault on those who did not stand up when the national anthem was played in theatres. Given the religious connotations of Vande Mataram, Muslims can legitimately claim that Islam does not permit the singing of the national song but neither mobs nor ordinary policemen would understand that. Such forcible spoon-feeding of nationalism does not meet the approval of a majority of Indians who would not like to make a show of their nationalism under duress. ___________

A. Tamil Nadu may not take kindly to this order and how often would the court use the power of the contempt law to seek obedience of its irrational order. B. This assertion of what has been called “popcorn nationalism” comes at a time when society is polarized and violence is perpetrated in the name of patriotism and nationalism. C. After granting the required relief the Judge held forth on the citizen’s duty to respect the national symbols. D. Judges have enough of backlog to clear; they need not waste time on courting controversies or doing what is not required of them. E. None of these

Answer: Option (A)
Explanation: Tamil Nadu may not take kindly to this order and how often would the court use the power of the contempt law to seek obedience of its irrational order.
3. But any withdrawal by Indian troops while the PLA stays put will mean India may lose face after having jumped in the fray on behalf of Bhutan. Can a compromise formula work in a dispute that has the imprints of a broader geostrategic competition? We will never get to know whether the differences were discussed during the closed-door meetings in Beijing. ___________.The smooth conduct of the BRICS NSAs’ meeting suggests that the border dispute may not cast a shadow on the forthcoming five-nation summit.

A. The fly in the ointment is that China may have tried to strengthen its infrastructure in a disputed area but it was doing so on its territory. B. But the interaction at the top political level may have ebbed the threat of a clash that could spiral into something worse. C. Many compromise formulas have been aired such as a simultaneous withdrawal by Indian troops and the Chinese road building crew. D. But from all indications, both sides are in for a long haul since trust and mutual understanding are at a discount. E. None of these

Answer: Option (D)
Explanation: But from all indications, both sides are in for a long haul since trust and mutual understanding are at a discount.
Error Correction (Underlined Part)
1. On my birthday, I distributed sweets between the students of my class.

A. between students of B. among students of C. among the students of D. between the students in E. No correction required

Answer: Option C
Explanation: When more than two people are mentioned 'among' is used and not 'between'. Students should be preceded by 'the' because the reference is to a specific group of students.
2. My friend got his daughter married with an engineer.

A. married to an engineer B. marry an engineer C. marry with an engineer D. married with the engineer E. No correction required

Answer: Option A
Explanation: The preposition that follows married is 'to' and not 'with'.
3. I shall not detain you longer than it is a necessity.

A. it is a need B. it shall be needed C. it is necessary D. it will be a necessity E. No correction required

Answer: Option C
Explanation: The use of the noun 'necessity', is wrong. It should be used in the adjective form (i.e) necessary.
Passage Completion
Direction (1 - 3): In economics, the term recession generally describes the reduction of a country’s Gross Domestic Product (GDP) for at least two quarters. A recession is…( I )…by rising unemployment, an increase in government borrowing,…( II)…, of share and stock prices, and falling investment. All of these characteristics have effects on people. Some recessions have been anticipated by stock market declines. The real estate market also usually…( III )…before a recession.
1. Choose the best word in place of ( I ) from the given passage

A. imagined B. depict C. shown D. visualized E. characterized

Answer: Option E
2. Choose the best word in place of ( II ) from the given passage

A. Increase B. variance C. more D. decrease E. abundance

Answer: Option D
3. Choose the best word in place of ( III ) from the given passage

A. weakens B. initiates C. awakens D. strengthens E. volatile

Answer: Option A
Substition:
1. One who hates women

A. Philanthropist B. Ascetic C. Misogamist D. Misogynist

Answer: Option (D)
2. One who tends to take a hopeful view of life

A. Magnate B. Creator C. Pacifist D. Optimist

Answer: Option (D)
3. A raised passageway in a building

A. Walkway B. Walkout C. Walkabout D. Walkover

Answer: Option (A)
Idioms and Phrases:
Directions (1-3): Some proverbs/ idioms are given below together with their meanings. Choose the correct meaning of proverb/ idiom, If there is no correct meaning given, E (i.e.) 'None of these' will be the answer.
1. To play fast and loose

A. to deceive someone B. to be agile C. say one thing and do another D. to be efficient E. None of these

Answer: Option (C)
2. Under someone’s wing

A. to work under someone B. to be under someone’s protection C. to be alert D. to be in the army E. None of these

Answer: Option (B)
3. To take stock of

A. to imagine B. to supply C. to survey D. to attract E. None of these

Answer: Option (C)
Antonyms:
1. Choose the word meaning OPPOSITE to the word: ACCOLADE

A. Kudos B. Criticism C. Award D. Approval

Answer: Option (B)
2. Choose the word meaning OPPOSITE to the word: LUNACY

A. Sense B. Absurdity C. Folly D. Dementia

Answer: Option (A)
3. Choose the word meaning OPPOSITE to the word: STERN

A. steely B. austere C. lenient D. ascetic

Answer: Option (C)
Sentence Arrangement
1. I read an advertisement that said (P) posh, air-conditioned (Q) gentlemen of taste (R) are available for (S) fully furnished rooms

A. PSRQ B. SRPQ C. PSQR D. PQRS

Answer: Option A
2. It is a rule (P) by anyone and admit (Q) that must not (R) of no variation (S) be violated

A. QSPR B. PSQR C. QPRS D. RQPS

Answer: Option A
3. The house (P) about half a mile distant (Q) that stands in front of us (R) was built of stones (S) which were dug out of its own site

A. QSPR B. QRPS C. QPRS D. QRSP

Answer: Option C

Alpha Numeric Number Series:
Directions (1-3): These questions are based on the following arrangement of letters/ numbers/ symbols. Study them carefully and answer the questions given beside.
5 H β 3 % T I L 4 $ E 6 F 1 R M @ A # B D 2 8 U & C
1. If all the numbers, vowels and the symbol ‘&’ are removed from the above arrangement, which of the following will be the eighth element from the left end?

A. L B. @ C. M D. R E. None of these

Answer: Option (D)
Explantion: If we remove the numbers, vowels and the symbol ‘&’ from the above arrangement, the arrangement will be like:
H β % T L $ F R M @ # B D C
Clearly, ‘R’ is the eighth element from the left end. Option D is hence the correct answer.
2. Which of the following is the fifth to the right of eighth element to the left of the thirteenth element from the left end?

A. β B. T C. A D. $ E. None of these

Answer: Option (D)
Explantion: The 13th element from the left end = F The resultant direction = 8th to the left - 5th to the right = 3rd to the left = $ Option D is hence the correct answer.
3. How many such numbers are there in the above arrangement each of which is immediately followed by a symbol and also immediately preceded by a letter?

A. One B. Two C. Three D. Four E. None of these

Answer: Option (A)
Explantion: 5 H β 3 % T I L 4 $ E 6 F 1 R M @ A # B D 2 8 U & C Clearly, only 1 such permutation exists. Option A is hence the correct answer.
Coding & Decoding:
Directions (1-3): Study the following information to answer the given questions:
In a certain code,
‘superstring park avail prelim’ is written as ‘#22T %8Q $10B @12Q’,
‘cereal revolving crook newsroom’ is written as ‘#10S @16O $12D %10D’,
‘training system unequal monk’ is written as ‘$14V %bN @12T #16U’, and
‘payback dream using ethical’ is written as ‘%14Q $14F #10V @10E’.
1. What is the code for ‘shooting upstream’?

A. @16V %16T B. @16V #18T C. @16V #16T D. @16U %16T E. Cannot be determined

Answer: Option (C)
2. What is the code for ‘making framework’?

A. #12N %18G B. #12M $18G C. #12M %20G D. #12N @18G E. Cannot be determined

Answer: Option (A)
3. What is the code for ‘logical coding’?

A. @12M $12E B. #14M $12D C. @14M $12C D. #14M $12D E. Cannot be determined

Answer: Option (B)
Seating Arrangements:
Directions (1-3): Study the following information carefully and answer the given questions.
Eight persons Nainika, Virat, Vani, Vaibhav, Nakul, Viji, Namith and Nareshare sitting around a square table, four of them facing towards centre while four of them facing outside but not necessarily in the same order. Vaibhav sits
fourth to right of Naresh. Vani is sitting immediate right of Vaibhav. Only one person sits between Namith and Vaibhav and both are facing same directions. Namith sits fourth to the right of Viji, whodoesn’t sits in middle of the table. Viji is not a neighbour of Naresh and faces towards the centre. Vani sits adjacent to Namith, who faces opposite direction of Vani. Nakul is to the immediate left of Vaibhav. Virat faces opposite direction of Vani and sits second to the left of Vani. Nakul is sitting second to left of Nainika, who faces same direction as Viji.
1. Who among the following persons faces the centre of the table?

A. Naresh B. Virat C. Nakul D. Vaibhav E. None of these

Answer: Option (A)
Explanation: Naresh is facing the centre of the table among the given people.
2. Who is sitting immediate right of Naresh?

A. Nainika B. Virat C. Vani D. Nakul E. None of these

Answer: Option (B)
Explanation: Virat sits immediate right of Naresh.
3. Four of the following five are form a group in some way, find out the odd one?

A. Nainika B. Vani C. Viji D. Nakul E. Virat

Answer: Option (C)
Explanation: Except Viji, all given persons are sitting in the middle of the table.
Puzzles:
Directions (1-3): Study the following information carefully and answer the questions given below.
Seven boxes P, Q, R, S, T, U and V are bought at different cost between Rs.40 and Rs.50 but not necessarily in the same order. The Cost of box R is five less than that of box T. The Cost of Box P is a prime number. The cost of Box U is two more than that of box P. The cost of Box U is more than that of box T. The cost of box S is an odd number. The cost of box V is three more than cost of box S. None of the box cost is Rs.44. The cost of box Q is an even number.
1. What is the cost of Box T?

A. Rs. 42 B. Rs. 45 C. Rs. 47 D. Rs. 46 E. None of these

Answer: Option (D) 2. What is the sum of Cost of box R and S?

A. Rs. 96 B. Rs. 86 C. Rs. 88 D. Rs. 72 E. None of these

Answer: Option (B)
3. How many boxes are not costlier than Q?

A. One B. Two C. Three D. Four E. None of these

Answer: Option (A)
Logical Reasoning:
Directions (1-3): Each question below contains two rows marked by I and II. The resultant of each row can be found by the rules given below. Answer the question followed by the rows by finding the resultant with the help of following five rules:

1) If a perfect cube is followed by an odd number, then the numbers are needed to be added.
2) If an even number is followed by a prime number, then subtract the second number from the first one.
3) If an odd number is followed by a perfect square, divide the second number by the first one.
4) If an odd number is followed by a non-perfect square, multiply the two numbers.
5) If a composite number is followed by an even number, then the numbers are needed to be added.

1. I. 6 3 36 II. x 7 6 If x is equal to the resultant of the first row, then find the resultant of the second row.

A) 42 B) 45 C) 30 D) 36 E) 33

Answer: Option (c)
Explanation:

For row I – From rule 2: 6 – 3 = 3 From rule 3: 36/3 = 12 Resultant of second row = 12 So, x = 12 For row II – From rule 2: 12 – 7 = 5 From rule 4: 5 × 6 = 30 Resultant of second row = 30

2. I. 7 6 10 II. 10 17 35 Find the multiplication of the resultant of both rows.

A) 242 B) 423 C) 362 D) 260 E) 333

Answer: Option (D)
Explanation:

For row I – From rule 4: 7 × 6 = 42 From rule 5: 42 + 10 = 52 Resultant of second row = 52 For row II – From rule 2: 17 – 10 = 5 From rule 4: 35 ÷ 7 = 5 Resultant of second row = 5 So answer = 52 × 5 = 260

3. I. 4 4 15 II. 3 x 3 If x is equal to the resultant of first row, then find the resultant of second row.

A) 142 B) 207 C) 162 D) 160 E) 199

Answer: Option (B)
Explanation:

For row I – From rule 5: 4 + 4 = 8 From rule 1: 8 + 15 = 23 Resultant of second row = 23 So x = 23 For row II – From rule 4: 3 × 23 = 69 From rule 4: 69 × 3 = 207 Resultant of second row = 207

Number Coding
1: If in a certain language A is coded as 1, B is coded as 2, and so on, how is B I D D I C coded in that code?

A) 294493 B) 284563 C) 375582 D) 394492

Answer: (A)
Explanation As given the letters are coded as: A B C D E F G H I 1 2 3 4 5 6 7 8 9
So, in B I D D I C, B is coded as 2, I as 9, D as 4, and C as 3. Thus, B I D D I C is coded as 294493. Hence, the answer is (A).
2: If P A I N T is coded as 74128 and E X C E L is coded as 93596, then how would you encode A C C E P T? (L Tax, 1996)

A) 455978 B) 547978 C) 554978 D) 735961

Answer: (A)
Explanation Clearly, in the given code, the alphabets are coded as follows : P A I N T E X C E L 7 4 1 2 8 9 3 5 9 6
So, in A C C E P T. A is coded as 4, C as 5, E as 9, P as 7 and T as 8. Hence, the correct code is 455978 and, therefore, the answer is (A).
3: If D is coded as 4 and C O V E R is coded as 63, then BASIS will be coded as? (Assistant Grade. 1997)

A) 49 B) 50 C) 54 D) 55

Answer: (B)
Explanation Clearly, in the given code, A = 1. B = 2, C = 3 …. so that C O V E R is coed as 3 + 15 + 22 + 5 + 18 = 63. [C + O + V + E + R]
Now, in B A S I S, B = 2, A = 1, S = 19, and I = 9. Thus, B A S I S will be coeded as 2 + 1 + 19 + 9 + 19 = 50. Hence, the answer is (B).
Inserting Correct Mathematical Sign
1.If ‘+’ stands for ‘÷’, ‘×’ stands for ‘+’, ‘-‘ stands for ‘×’ and ‘÷’ stands for ‘ - ‘, then which of the following statements is correct ?

(A) 36× 6 + 7 ÷ 2 – 6 = 20 (B) 36 ÷ 6 + 3 × 5 – 3 =45 (C) 36 + 6 – 3 × 5 ÷ 3 = 24 (D) 36 - 6 + 3 × 5 ÷ 3 = 74

Answer: (D)
2.In the following equation, select correct combination of mathematical sign to replace * signs and to balance the equation 16 * 4 * 5 * 9 * 1

(A) + ÷ = × (B) ÷ + = × (C) ×= + - (D) + × = ÷

Answer: (B)
3. Identify the correct response from the given premises stated according to following symbols.If

‘ – ‘ stands for division ‘ +’ stands for multiplication ‘ ÷’ stands for subtraction ‘ ×’ stands for addition

Which one of the equations is correct?

(A) 18 + 14 – 24 x 12 ÷ 16 = 12 (B) 16 x 14 – 24 ÷ 18 + 12 = -24 (C) 24 – 12 + 12 ÷ 16 x 18 = 26 (D) 18 ÷ 16 + 12 x 18 ÷ 12 = 24

Answer: (C)
Odd Man Out
1. Which one of the words given below is different?

(A) Mango (B) Apple (C) Potato (D) Cherry

Answer: (C)
Explanation Except for potato, all the rest are the names of the fruits, while Potato is a vegetable. Hence, it is the odd one.
2. Find out the pair which is different.

(A) Cow and Buffalo (B) Cock and Hen (C) Horse and Mare (D) Dog and Bitch

Answer: (A)
Explanation From the above, the second one is the feminine of the first one except for the first pair. So the answer will be (A).
3. Find the odd one among the following.

(A) Mercury (B) Moon (C) Jupiter (D) Saturn

Answer: (B)
Explanation Here, choices (a), (c), and (d) belong to one group because these all are Planets. But the moon is a satellite. So moon will be the right answer.
Mutual Relation Problem
Directions (1-3): In a family, there are six members- A, B, C, D, E, and F. A and B are a married couple, A being a male member. D is the only son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died.
1. How F has related to A?

(1) Mother (2) Sister-in-law (3) Sister (4) Mother-in-law (5) None of these

Explanation The first sentence is USI while all other are is actual information. Since, as suggested above we should begin with the parent-child relationship. And the third sentence depicts parent-child relationship i.e. D is the only son of C who’s a brother of A. Therefore, the diagram is as follows

2. How is E related to C?

(1) Daughter (2) Aunt (3) Cousin (4) Sister (5) Mother

Explanation Now we should look into. that tells more about A, D or C. The second sentence tells us more about A. So, we’ll incorporate that into the diagram.

3. Who is C to B?

(1) Brother (2) Brother-in-law (3) Son-in-law (4) Nephew (5) None of these

Explanation Now we shall add the leftover information and the one that fits the most in the current diagram is the relationship between D and E.

Number Puzzle
1. What number comes inside the circle

A. 9 B. 4 C. 5 D. 6

Answer: (D)
Explanation : Looking at the diagram in rows, the central circle equals half the sum of the numbers in the other circles to the left and right of the center.
2. Which number replaces the question mark?

A. 9 B. 8 C. 4 D. 1

Answer: (A)
Explanation: The number at the center of each triangle equals the sum of the lower two numbers minus the top number.
3. Which number replaces the question mark?

Human Relation
1. Pointing to a photograph of a boy Suresh said, "He is the son of the only son of my mother." How is Suresh related to that boy?

A. Brother B. Uncle C. Cousin D. Father

Answer: Option (D)
Explanation: The boy in the photograph is the only son of the son of Suresh's mother i.e., the son of Suresh. Hence, Suresh is the father of the boy.
2. If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?

A. Q - N + M x P B. P + S x N - Q C. P - M + N x Q D. Q - S % P

Answer: Option (C)
Explanation: P - M → P is the brother of M M + N → M is the mother of N N x Q → N is the sister of Q Therefore, P is the maternal uncle of Q.
3. If A is the brother of B; B is the sister of C; and C is the father of D, how D is related to A?

A. Brother B. Sister C. Nephew D. Cannot be determined

Answer: Option (D)
Explanation: If D is Male, the answer is Nephew. If D is Female, the answer is Niece. As the sex of D is not known, hence, the relation between D and A cannot be determined. Note: Niece - A daughter of one's brother or sister, or of one's brother-in-law or sister-in-law. Nephew - A son of one's brother or sister, or of one's brother-in-law or sister-in-law.
Non-Verbal Reasoning
1. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

A. 1 B. 2 C. 3 D. 4 E. 5

Answer: Option (C)
Explanation: In each step, the element at the upper-right position gets enlarged, inverts vertically and reaches the lower-left corner; the existing element at the lower-left position, is lost and a new small element appears at the upper-right position.
2. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

A. 1 B. 2 C. 3 D. 4 E. 5

Answer: Option (B)
Explanation: In each step, the elements move in the sequence
3. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

A. 1 B. 2 C. 3 D. 4 E. 5

Answer: Option (A)
Explanation: Both the larger and the smaller squares move to the adjacent corner ACW in each turn. Also, the shading in the smaller square moves 1, 2, 3, 4, 5, ... steps ACW sequentially and the shading in the larger square moves 1, 2, 3, 4, 5,.... steps CW sequentially.
Distance and Direction Sense Test
1. Amit started walking positioning his back towards the sun. After some time, he turned left, then turned right and towards the left again. In which direction is he going now?

A. North or South B. East or West C. North or West D. South or West

Answer: Option (A)
Explanation:

If he starts walking the morning then finally he will face towards South and if he starts in the evening then finally he will face towards North.
2. Radha moves towards South-East a distance of 7 km, then she moves towards West and travels a distance of 14 km. From here she moves towards North-West a distance of 7 km and finally, she moves a distance of 4 km towards east. How far is she now from the starting point?

A. 3 km B. 4 km C. 10 km D. 11 km

Answer: Option (C)
Explanation:

3. From his house, Lokesh went 15 km to the North. Then he turned west and covered 10 km. Then he turned south and covered 5 km. Finally turning to the east, he covered 10 km. In which direction is he from his house?

A. East B. West C. North D. South

Answer: Option (C)
Explanation:

Dictionary Words
1. Arrange the given words Alphabetical Order and choose the one that comes first.

A. Science B. Scrutiny C. Scripture D. Scramble E. Script

Answer: Option (A)
2. Arrange the given words Alphabetical Order and choose the one that comes first.

A. Intense B. Intellect C. Intend D. Intelligent E. Integument

Answer: Option (E)
3. Arrange the given words Alphabetical Order and choose the one that comes first.

A. Nature B. Native C. Narrate D. Nascent E. Naughty

Answer: Option (C)
Mathematical Operations (Assigning Value to Arithmetic Sign)
1. Answer the following question 23 - 3/1 + 15 × 5 =?

A 22 B 23 C 24 D 25

Answer: Option (B)
Explanation If the actual operators will be replaced as per the direction of the question, then the series will be − 23 + 3 - 1 × 15/5 Now we can apply the rule to solve the above. 1st “15/5” section will be solved. 15/5=3 Now (1 × 3) section will be solved. 1 × 3 = 3 Series will reduce to 23 + 3 - 3 = 23
2. If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and - stands for 'division', then 20 × 8 ÷ 8 - 4 + 2 = ?

A. 80 B. 25 C. 24 D. 5

Answer: Option (C)
Explanation 20 + 8 - 8 ÷ 4 × 2 = 20 + 8 - 2 × 2 = 20 + 8 - 4 = 24.
3. If - means ×, × means +, + means ÷ and ÷ means -, then 40 × 12 + 3 - 6 ÷ 60 = ?

A. 7.95 B. 16 C. 44 D. 479.95 E. None of these

Answer: Option (E)
Explanation 40 + 12 ÷ 3 × 6 - 60 = 40 + 4 × 6 - 60 = 40 + 24 - 60 = 4.
Analogy
1. CUP : LIP:: BIRD:?

A. BUSH B. GRASS C. FOREST D. BEAK

Answer: Option (D)
Explanation: Cup is used to drink something with the help of lips. Similarly, birds collect grass with the help of beak to make her nest.
2. College: Student:: Hospital:?

A. Nurse B. Doctor C. Treatment D. Patient

Answer: Option (D)
Explanation: Students read in College similarly Patients are treated in Hospital.
3. Country : President :: State : ?

A. Governor B. M.P C. Legislator D. Minister

Answer: Option (A)
Explanation: As President is the nominal head of a country, similarly Governer is the nominal head of a State.
Tallest, Youngest Relation
1. What is the 13th letter of the English Alphabet?

A. M & N B. M & M C. N & N D. N & L

Answer: (A)
Explanation: There are 26 English Alphabets. They are: A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z. Therefore, from the left end, the 13th letter is M and is Consonant. And from the right end, the 13th letter is N and is Consonant.
2. Manoj and Satya are ranked seventh and eleventh respectively from the top in a class of 31 students. What will be their respective ranks from the bottom in the class?

A. 25th and 21st B. 26th and 22nd C. 20th and 24th D. 24th and 20th

Answer: (A)
Explanation: Number of students behind Manoj in rank = (31 - 7) = 24. So, Manoj is 25th from the bottom. Number of students behind Satya in rank = (31 - 11) = 20. So, Satya is 21st from the bottom.
3. In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there were 50 persons in the queue. What position does Mamta occupy from the front?

A. 14th B. 16th C. 18th D. 20th

Answer : (C)
Explanation: Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in the middle of these 15 persons, so Mamta`s position is 8th from Amrita i.e. 18th from the front.
Number Ranking & Time Sequence Test
1. How many 4's are there preceded by 7 but not followed by 3? 5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3 A. Four B. Three C. Six D. Five
Answer: (A)
Explanation: 7 4 2 7 4 6 7 4 1 7 4 6 Only at these places 4 is preceded by 7 but not followed by 3
2. In a class of 180, where girls are twice the number of boys, Rupesh[a boy] ranked 34th from the top. If there are 18 girls ahead of Rupesh, how many boys are after him in rank?

A. 45 B. 44 C. 60 D. can't be determined

Answer: (B)
Explanation: No. of boys up to the 34th rank = 34-18 = 16 Total no of boys = 180x1/2+1 = 60 number of boys after the rank of Rupesh = 60 - 16 = 44
3. P, Q, R, S, T, U, V, and W are sitting around the circle and are facing the center: P is second to the right of T who is the neighbor of R and V. S is not the neighbor of P. V is the neighbor of U. Q is not between S and W. W is not between U and S.
Then Who is sitting opposite to U?

A. Q B. P C. R D. W

Answer: (B)
Explanation: From the given information, the sitting arrangement can be P-Q-W-S-U-V-T-R i.e. in the circular as
From the above figure, it is clear that the opposite to U is P.
Assign Artificial Values to Mathematical Digit
1. If x means –, – means x, + means ÷ and ÷ means + then— 13 – 12 ÷ 400 + 20 x 100 = ?

A. 1/1760 B. 76 C. 176 D. 186 E. None of these

Answer : (B)
2. If – means ÷, ÷ means –, + means x and x means +, then— 12 – 4 x 7 + 8 ÷ 5 = ?

A. 51 B. 45 C. 34 D. 64 E. None of these

Answer : (E)
3. If + means x, x means +, – means ÷ and ÷ means –, then— 16 x 2 ÷ 4 + 7 – 8 = ?

A. 31 B. 29/2 C. 43/2 D. 15 E. None of these

Answer : (B)

Simple Interest.
1. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

A. Rs. 650 B. Rs. 690 C. Rs. 698 D. Rs. 700

Answer: Option (C)
Explanation: S.I. for 1 year = Rs. (854 - 815) = Rs. 39. S.I. for 3 years = Rs.(39 x 3) = Rs. 117. Principal = Rs. (815 - 117) = Rs. 698.
2. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

A. 3% B. 4% C. 5% D. 6% E. None of these

Answer: Option (D)
Explanation: S.I. = Rs. (15500 - 12500) = Rs. 3000.
Rate = ([latex]\frac{100 \times 3000}{12500 \times 4}[/latex])% = 6%
Height and Distance.
1. Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall?

A. 423.5 m B. 450 m C. 470 m D. 495 m

Answer: Option (C)
Explanation:

2. There is a tree between houses of A and B. If the tree leans on A’s House, the tree top rests on his window which is 12 m from the ground. If the tree leans on B’s House, the tree top rests on his window which is 9 m from the ground. If the height of the tree is 15 m, what is the distance between A’s and B’s house?

A. 21 m B. 25 m C. 16 m D. 12 m

Answer: Option (A)
Explanation:

Volume and Surface Area
1. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

A. 12 kg B. 60 kg C. 72 kg D. 96 kg

Answer: Option (B)
Explanation: Volume of water displaced = (3 x 2 x 0.01) m3 = 0.06 m3. Mass of man = Volume of water displaced x Density of water = (0.06 x 1000) kg = 60 kg.
2.A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A. 49 m2 B. 50 m2 C. 53.5 m2 D. 55 m2

Answer: Option (A)
Explanation: Area of the wet surface = [2(lb + bh + lh) - lb] = 2(bh + lh) + lb = [2 (4 x 1.25 + 6 x 1.25) + 6 x 4] m2 = 49 m2.
Logarithm
1.Which of the following statements is not correct?

A. log10 10 = 1 B. log (2 + 3) = log (2 x 3) C. log10 1 = 0 D. log (1 + 2 + 3) = log 1 + log 2 + log 3

Answer: Option B
Explanation: (a) Since loga a = 1, so log10 10 = 1. (b) log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3 log (2 + 3) log (2 x 3) (c) Since loga 1 = 0, so log10 1 = 0. (d) log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3. So, (b) is incorrect.
2. If log10 2 = 0.3010, the value of log10 80 is:

A. 1.6020 B. 1.9030 C. 3.9030 D. None of these

Answer: Option B
Explanation: log10 80 = log10 (8 x 10) = log10 8 + log10 10 = log10 (23 ) + 1 = 3 log10 2 + 1 = (3 x 0.3010) + 1 = 1.9030.
Races and Games
1. At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

A. 22 points B. 20 points C. 12 points D. 10 points

Answer: Option D
Explanation : "A can give 15 points to B in 60". In a game of 60, A starts with 0 points where B starts with 15 points. "A can give 20 points to C in 60". In a game of 60, A starts with 0 points where C starts with 20 points. ie, in a game of 60-15-45, B can give C 20-15=5 points. ie, in a game of 90, B can give C 5×2=10 points.
2. In a game of 90 points, A can give B 15 points and C 30 points. How many points can B give C in a game of 100 points?

A. 140 B. 20 C. 300 D. 50

Answer: Option B
Explanation : While A scores 90 points, B scores (90-15)=75 points and C scores (90-30)= 60 points i.e., when B scores 75 points, C scores 60 points When B scores 100 points, C scores ([latex]\frac{60}{75}[/latex]) ×100 = 80 points i.e., in a game of 100 points, B can give C (100-80)=20 points.
Simplification
1. (764 × ?) ÷ 250 = 382

A. 115 B. 145 C. 135 D. 125 E. None of these

Answer: D
Solution: ([latex]\frac{764 \times?}{250}[/latex]) = 382 ? = ([latex]\frac{382 \times250}{764}[/latex]) = 125.
2. 9643 – 7750 +? = 4990

A. 3079 B. 3097 C. 3090 D. 4010 E. None of these

Answer: B
Solution: ? = 4990 – 9643 + 7750 = 3097.
Time and Distance
1. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 9 B. 10 C. 12 D. 20

Answer: Option B
Explanation: Due to stoppages, it covers 9 km less. Time taken to cover 9 km =([latex]\frac{9}{54}[/latex]) x 60 min = 10 min.
2. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

A. 3.6 B. 7.2 C. 8.4 D. 10

Answer: Option B
Explanation: Speed = ([latex]\frac{600}{5 \times60}[/latex]) 600 m/sec. = 2 m/sec. Converting m/sec to km/hr (see important formulas section) = 2 x([latex]\frac{18}{5}[/latex]) km/hr = 7.2 km/hr.
Chain Rule
1. If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

A. 48 paise B. 54 paise C. 56 paise D. 72 paise

Answer: Option A
Explanation: Let the required weight be x kg. Less weight, Less cost (Direct Proportion) 250 : 200 :: 60 : x 250 x x = (200 x 60) x= ([latex]\frac{200 \times 60}{250}[/latex]) x = 48.
2. A wheel that has 6 cogs meshes with a larger wheel or 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is:

A. 4 B. 9 C. 12 D. 49

Answer: Option B
Explanation: Let the required number of revolutions made by larger wheel be x. Then, More cogs, Fewer revolutions (Indirect Proportion) 14 : 6 :: 21 : x 14 x x = 6 x 21 x = ([latex]\frac{6\times 21}{14}[/latex]) x = 9.
Permutation and Combination
1. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

A. 360 B. 480 C. 720 D. 5040 E. None of these

Answer: Option C
Explanation: The word 'LEADING' has 7 different letters. When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways. The vowels (EAI) can be arranged among themselves in 3! = 6 ways. Required number of ways = (120 x 6) = 720.
2. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

A. 5 B. 10 C. 15 D. 20

Answer: Option D
Explanation: Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it. The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place. The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it. Required number of numbers = (1 x 5 x 4) = 20.
Surds and Indices
1. (17)3.5 x (17)? = 178

A. 2.29 B. 2.75 C. 4.25 D. 4.5

Answer: Option D
Explanation: Let (17)3.5 x (17)x = 178. Then, (17)3.5 + x = 178. 3.5 + x = 8 x = (8 - 3.5) x = 4.5
2. If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:

A. 0 B. 2 C. 4 D. 6

Answer: Option C
Explanation: 3x - y = 27 = 33 x - y = 3 ....(i) 3x + y = 243 = 35 x + y = 5 ....(ii) On solving (i) and (ii), we get x = 4.
Pipes and Cistern
1. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank at the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:

A. 6 hours B. 10 hours C. 15 hours D. 30 hours

Answer: Option C
Explanation: Suppose, first pipe alone takes x hours to fill the tank. Then, second and third pipes will take (x -5) and (x - 9) hours respectively to fill the tank. ([latex]\frac{1}{x}[/latex])+([latex]\frac{1}{(x - 5)}[/latex]) = ([latex]\frac{1}{(x - 9)}[/latex]) ([latex]\frac{x - 5 + x}{x(x - 5)}[/latex]) = ([latex]\frac{1}{(x - 9)}[/latex]) (2x - 5)(x - 9) = x(x - 5) x2 - 18x + 45 = 0 (x - 15)(x - 3) = 0 x = 15. [neglecting x = 3]
2. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 hours to fill the tank. The leak can drain all the water of the tank in:

A. 4 ([latex]\frac{1}{3}[/latex]) hours B. 7 hours C. 8 hours D. 14 hours

Answer: Option D
Explanation: Work was done by the leak in 1 hour =([latex]\frac{1}{2}[/latex]) - ([latex]\frac{3}{7}[/latex]) =([latex]\frac{1}{14}[/latex]). The leak will empty the tank in 14 hrs.
Boats and Streams
1. A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

A. 2 hours B. 3 hours C. 4 hours D. 5 hours

Answer: Option C
Explanation: Speed downstream = (13 + 4) km/hr = 17 km/hr. Time taken to travel 68 km downstream = ([latex]\frac{68}{17}[/latex]) hrs = 4 hrs.
2. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A. 3 km/hr B. 5 km/hr C. 8 km/hr D. 9 km/hr

Answer: Option C
Explanation: Speed in still water =([latex]\frac{1}{2}[/latex])(11 + 5) kmph = 8 kmph.
Numbers
1. Which one of the following is not a prime number?

A. 31 B. 61 C. 71 D. 91

Answer: Option D
Explanation: 91 is divisible by 7. So, it is not a prime number.
2. What is the unit digit in {(6374)1793 x (625)317 x (341491)}?

A. 0 B. 2 C. 3 D. 5

Answer: Option A
Explanation: Unit digit in (6374)1793 = Unit digit in (4)1793 = Unit digit in [(42)896 x 4] = Unit digit in (6 x 4) = 4 Unit digit in (625)317 = Unit digit in (5)317 = 5 Unit digit in (341)491 = Unit digit in (1)491 = 1 Required digit = Unit digit in (4 x 5 x 1) = 0.
Partnership
1. A, B, and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

A. Rs. 1900 B. Rs. 2660 C. Rs. 2800 D. Rs. 2840

Answer: Option B
Explanation: For managing, A received = 5% of Rs. 7400 = Rs. 370. Balance = Rs. (7400 - 370) = Rs. 7030. Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3) = 39000 : 42000 : 30000 = 13 : 14 : 10 B's share = Rs. 7030 x ([latex]\frac{14}{37}[/latex]) = Rs. 2660.
2. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

A. 3 : 5 : 2 B. 3 : 5 : 5 C. 6 : 10 : 5 D. Data inadequate

Answer: Option C
Explanation: Let the initial investments of A and B be 3x and 5x. A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.
Ratio and Proportion
1. A sum of money is to be distributed among A, B, C, D in the proportion of 5: 2: 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these

Answer: Option C
Explanation: Let the shares of A, B, C, and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then, 4x - 3x = 1000 x = 1000. B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
2. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40: 57. What is Sumit's salary?

A. Rs. 17,000 B. Rs. 20,000 C. Rs. 25,500 D. Rs. 38,000

Answer: Option D
Explanation: Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively. Then, ([latex]\frac{2x + 4000}{3x + 4000}[/latex])= ([latex]\frac{40}{57}[/latex]) 57(2x + 4000) = 40(3x + 4000) 6x = 68,000 3x = 34,000 Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000.
Problems on H.C.F and L.C.M.
1. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4 B. 7 C. 9 D. 13

Answer: Option A
Explanation: Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43) = H.C.F. of 48, 92 and 140 = 4.
2. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then the sum of the digits in N is:

A. 4 B. 5 C. 6 D. 8

Answer: Option A
Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4
Banker’s Discount
1. The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:

A. 3 months B. 4 months C. 6 months D. 8 months

Answer: Option B
Explanation: S.I. on Rs. 1600 = T.D. on Rs. 1680. Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%. Time = ([latex]\frac{100 \times 80}{1600 \times 15}[/latex]) year = ([latex]\frac{1}{3}[/latex])year = 4 months.
2. The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

A. Rs. 960 B. Rs. 840 C. Rs. 1020 D. Rs. 760

Answer: Option C
Explanation: T.D. = ([latex]\frac{B.G.\times 100}{R\times T}[/latex]) = Rs. ([latex]\frac{270\times 100}{12\times 3}[/latex]) = Rs. 750. B.D. = Rs.(750 + 270) = Rs. 1020.
1. There is a 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

A. Rs. 2160 B. Rs. 3120 C. Rs. 3972 D. Rs. 6240 E. None of these

Answer: Option C
Explanation: Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years. R = ([latex]\frac{100 \times 60}{100 \times 6}[/latex]) = 10% p.a. Now, P = Rs. 12000. T = 3 years and R = 10% p.a. C.I. = Rs. [latex]1200 \times ((1 + \frac{10}{100})^{3} -1)[/latex] = Rs. ([latex]\frac{12000 \times 331}{1000}[/latex]) = 3972.
2. What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.?

A. Rs. 9000.30 B. Rs. 9720 C. Rs. 10123.20 D. Rs. 10483.20 E. None of these

Answer: Option C
Explanation: Amount = Rs. [latex]1200 \times (1 + \frac{12}{100})^{3} [/latex] = Rs. 1200 x ([latex]\frac{28}{25}[/latex]) x ([latex]\frac{28}{25}[/latex]) x ([latex]\frac{28}{25}[/latex]) = Rs. 35123.20 C.I. = Rs. (35123.20 - 25000) = Rs. 10123.20
Area
1. An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?

A. 4.04% B. 2.02% C. 4% D. 2%

Answer: Option A
Explanation: Percentage error in calculated area =(2+2+([latex]\frac{2 \times 2}{100}[/latex]))% = 4.04%
2. A towel, when bleached, lost 20% of its length and 10% of its breadth. What is the percentage decrease in the area?

A. 30% B. 28% C. 32% D. 26%

Answer: B
Explanation: percentage change in area =(−20−10+([latex]\frac{20\times 10}{100}[/latex]))% = −28% i.e., the area is decreased by 28%
Time and Work
1. A can do a certain work at the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

A. 15 days B. 20 days C. 25 days D. 30 days

Answer: Option C
Explanation: (A + B)'s 1 day's work = ([latex]\frac{1}{10}[/latex]) C's 1 day's work = ([latex]\frac{1}{50}[/latex]) (A + B + C)'s 1 day's work = ([latex]\frac{1}{10}[/latex] + [latex]\frac{1}{50}[/latex]) = ([latex]\frac{6}{50}[/latex]) = ([latex]\frac{3}{25}[/latex]) . .... (i) A's 1 day's work = (B + C)'s 1 day's work .... (ii) From (i) and (ii), we get: 2 x (A's 1 day's work) = ([latex]\frac{3}{25}[/latex]) A's 1 day's work = ([latex]\frac{3}{50}[/latex]). B's 1 day's work ([latex]\frac{1}{10}[/latex] - [latex]\frac{3}{50}[/latex]) = ([latex]\frac{2}{50}[/latex]) = ([latex]\frac{1}{25}[/latex]) . So, B alone could do the work in 25 days.
2. A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished?

A. 11:30 A.M. B. 12 noon C. 12:30 P.M. D. 1:00 P.M.

Answer: Option D
Explanation: (P + Q + R)it's 1 hour's work = ([latex]\frac{1}{8}[/latex] + [latex]\frac{1}{10}[/latex] + [latex]\frac{1}{12}[/latex]) = ([latex]\frac{37}{120}[/latex]) Work was done by P, Q, and R in 2 hours = (([latex]\frac{37}{120}[/latex]) x 2 ) = ([latex]\frac{37}{60}[/latex]). Remaining work = ( 1 - ([latex]\frac{37}{60}[/latex])) = ([latex]\frac{23}{60}[/latex]). (Q + R)it's 1 hour's work = ([latex]\frac{1}{10}[/latex] + [latex]\frac{1}{12}[/latex]) = ([latex]\frac{11}{60}[/latex]). Now, ([latex]\frac{11}{60}[/latex]) work is done by Q and R in 1 hour. So, ([latex]\frac{23}{60}[/latex]) work will be done by Q and R in ([latex]\frac{60}{11}[/latex] x [latex]\frac{23}{60}[/latex]) = [latex]\frac{23}{11}[/latex] hours = 2 hours. So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.
Allegation or Mixture
1. How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

A. 36 kg B. 42 kg C. 54 kg D. 63 kg

Answer: Option D
Explanation: S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%. C.P. of 1 kg of mixture = Rs. ([latex]\frac{100}{120}[/latex] x 9.24) = Rs. 8.40 By the rule of allylation, we have:

The ratio of quantities of 1st and 2nd kind = 14: 6 = 7 : 3. Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind. Then, 7 : 3 = x : 27 x = ([latex]\frac{7\times 27}{3}[/latex]) = 63 kg.
2. A container contains 40 liters of milk. From this container, 4 liters of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

A. 26.34 litres B. 27.36 litres C. 28 litres D. 29.16 litres

Answer: Option D
Explanation: Amount of milk left after 3 operations = [latex]40 \times (1 - \frac{4}{40})^{3} [/latex] (40 x [latex]\frac{9}{10}[/latex] x [latex]\frac{9}{10}[/latex] x [latex]\frac{9}{10}[/latex]) = 29.16 litres.
Decimal Fraction
1. 3889 + 12.952 - ? = 3854.002

A. 47.095 B. 47.752 C. 47.932 D. 47.95

Answer: Option D
Explanation: Let 3889 + 12.952 - x = 3854.002. Then x = (3889 + 12.952) - 3854.002 = 3901.952 - 3854.002 = 47.95.
2. The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?

A. 2010 B. 2011 C. 2012 D. 2013

Answer: Option B
Explanation: Suppose commodity X will cost 40 paise more than Y after z years. Then, (4.20 + 0.40z) - (6.30 + 0.15z) = 0.40 0.25z = 0.40 + 2.10 z = ([latex]\frac{2.50}{0.25}[/latex]) = ([latex]\frac{250}{25}[/latex]) = 10 X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.
Probability
1. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A. [latex]\frac{1}{2}[/latex] B. [latex]\frac{2}{5}[/latex] C. [latex]\frac{8}{15}[/latex] D. [latex]\frac{9}{20}[/latex]

Answer: Option D
Explanation: Here, S = {1, 2, 3, 4, ...., 19, 20}. Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}. P(E) = [latex]\frac{n(E)}{n(S)}[/latex] = [latex]\frac{9}{20}[/latex].
2. Three unbiased coins are tossed. What is the probability of getting at most two heads?

A. [latex]\frac{3}{4}[/latex] B. [latex]\frac{1}{4}[/latex] C. [latex]\frac{3}{8}[/latex] D. [latex]\frac{7}{8}[/latex]

Answer: Option D
Explanation: Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH} Let E = event of getting at most two heads. Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}. P(E) = [latex]\frac{n(E)}{n(S)}[/latex] = [latex]\frac{7}{8}[/latex].
Average
1. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

A. Rs. 4991 B. Rs. 5991 C. Rs. 6001 D. Rs. 6991

Answer: Option A
Explanation: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009. Required sale = Rs. [ (6500 x 6) - 34009 ] = Rs. (39000 - 34009) = Rs. 4991.
2. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

A. 0 B. 1 C. 10 D. 19

Answer: Option D
Explanation: Average of 20 numbers = 0. Sum of 20 numbers (0 x 20) = 0. It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).
Stocks and Share
1. In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:

A. Rs. 3100 B. Rs. 6240 C. Rs. 6500 D. Rs. 9600

Answer: Option B
Explanation: To obtain Rs. 10, investment = Rs. 96. To obtain Rs. 650, investment = Rs. ([latex]\frac{96}{10}[/latex]) x 650 = Rs. 6240.
2. A 6% stock yields 8%. The market value of the stock is:

A. Rs. 48 B. Rs. 75 C. Rs. 96 D. Rs. 133.33

Answer: Option B
Explanation: For an income of Rs. 8, investment = Rs. 100. For an income of Rs. 6, investment = Rs.([latex]\frac{100}{8}[/latex] x 6) = Rs. 75. Market value of Rs. 100 stock = Rs. 75.
Square Root and Cube Root
1. The cube root of .000216 is:

A. .6 B. .06 C. 77 D. 87

Answer: Option B
Explanation: [latex]{(.000216)^{\frac{1}{3}}}[/latex] = [latex]\frac{216}{10^{6}}^{\frac{1}{3}} [/latex] = ([latex]\frac{6}{102} \times \frac{6}{102} \times \frac{6}{102})^{\frac{1}{3}}[/latex] =[latex]\frac{6}{10^{2}}[/latex] =[latex]\frac{6}{100}[/latex] = 0.06
2. The least perfect square, which is divisible by each of 21, 36 and 66 is:

A. 213444 B. 214344 C. 214434 D. 231444

Answer: Option A
Explanation: L.C.M. of 21, 36, 66 = 2772. Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11 To make it a perfect square, it must be multiplied by 7 x 11. So, required number = 22 x 32 x 72 x 112 = 213444.
Problems on Ages
1. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A. 4 years B. 8 years C. 10 years D. None of these

Answer: Option A
Explanation: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years. Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 5x = 20 x = 4. Age of the youngest child = x = 4 years.
2. Present ages of Sameer and Anand are in the ratio of 5: 4 respectively. Three years hence, the ratio of their ages will become 11: 9 respectively. What is Anand's present age in years?

A. 24 B. 27 C. 40 D. Cannot be determined E. None of these

Answer: Option A
Explanation: Let the present ages of Sameer and Anand be 5x years and 4x years respectively. Then,[latex]\frac{5x + 3}{4x + 3}[/latex] = [latex]\frac{11}{9}[/latex] 9(5x + 3) = 11(4x + 3) 45x + 27 = 44x + 33 45x - 44x = 33 - 27 x = 6. Anand's present age = 4x = 24 years.