Prepositions
1. He was vexed ------ Sohan for his behavior.

A. at B. to C. upon D. with

Answer: Option D
2. I brought him ------ with great difficulty.

A. up B. about C. round D. in

Answer: Option A
3. Give example pertinent --------- the case.

A. on B. to C. for D. with

Answer: Option B
Active Voice and Passive Voice
1. People claim to have seen the suspect in several cities.

A. The suspect is claimed to have been seen in several cities. B. The suspect was seen by people in several cities. C. The suspect has been the people in several cities. D. The suspect is being seen in several cities.

Answer: Option A
2. People claim to have seen the suspect in several cities.

A. The suspect is claimed to have been seen in several cities. B. The suspect was seen by people in several cities. C. The suspect has been the people in several cities. D. The suspect is being seen in several cities.

Answer: Option A
3. Sugana was writing a letter to her father.

A. A letter was written to her father by Sugana. B. A letter was being written by Sugana to her father. C. A letter was written by Sugana to her father. D. A letter has been written to her father by Sugana.

Answer: Option B
Joining Sentences
1. They will not win the match. It is certain. (A) It is certain that they ..... (B) Although it is certain ..... (C) Unless they win the match .....

A. Only A B. Only B C. Only C D. A and B E. None of these

Answer: Option A
Explanation: The second sentence ascertains or affirms the first statement. Hence starter A, which uses 'that', is the best way of combining these sentences. The use of 'although' or 'unless' distorts the meaning.
2. There is an increase in the incidents of violence these days. The police have tightened security. (A) Because there is an increase ..... (B) As there is an increase ..... (C) While there is an increase .....

A. Only A B. A and B C. Only B D. All the three E. None of these

Answer: Option B
Explanation: The reason for the security being tightened is because of the increase in the incidents of violence. This is conveyed in A and B.
3. There was a heavy downpour for the last two days. Life came to a standstill. (A) Since there was a heavy downpour ..... (B) There is a heavy downpour ..... (C) While there was heavy downpour .....

A. Only B B. Only A C. A and B D. B and C E. All the three

Answer: Option C
Explanation: Starter A gives a reason. It can ideally begin the sentence as the first given sentence is the cause/reason. Starter B can also begin the sentence, as the reason is implied.
Spotting Errors
1. Suganya opened a almirah (a) / full of books (b) / and took one of them (c) / for reading (d) / No error (e)

A. suganya opened a almirah B. full of books C. and took one of them D. for reading E. no error

Answer: Option A
2. As I was to reach (a) / early I left in aeroplane (b) / instead of (c) / going by train (d) / No error (e)

A. as I was to reach B. early I left in the airplane C. instead of D. going by train E. no error

Answer: Option B
3. My friends insisted (a) / that I should see the movie (b) / from beginning to the end (c) / No error (d)

A. my friends insisted B. that I should see the movie C. from beginning to the end D. no error

Answer: Option C
Synonyms
1. Pensive

A. Oppressed B. Caged C. Thoughtful D. Happy

Answer: Option C
Explanation: Pensive means moodily or dreamily thoughtful
2. Banish

A. Exile B. Hate C. Fade D. Clean

Answer: Option A
Explanation: To banish means to drive out from home or country, or to exile
3. Fraud

A. Malcontent B. Argument C. Imposter D. Clown

Answer: Option C
Explanation: A fraud is someone who is not what he or she pretends to be, or an imposter
Sentence Improvement
1. Where politics fails, economics may some time succeed.

A. may sometimes succeed B. may sometime succeed C. sometimes succeed D. sometimes succeeds

Answer: Option D
2. In summer, days are warmer than nights.

A. warmer B. warmest C. warmer D. none

Answer: Option C
3. He killed the enemy by his sword.

A. by sword B. by a sword C. with his sword D. none

Answer: Option C
Error Correction (Phrase in colour)
1. Underwater archaeology has huge potential, as it could be a time-consuming and costly way to study the past.

A. as it is B. but it is C. since it could be D. but it could E. No correction required

Answer: Option B
Explanation: The first part of the sentence says something positive about underwater archaeology (has huge potential) and the second part brings out its drawbacks. It is a contradiction and hence it is apt to use conjunction which brings out this contrast. The conjunction 'but' has to replace 'as'. Also, the idea stated is given as a fact. The first part is in the simple past and the second part should also be in the simple past. The verb 'is' has to replace 'could be' which suggests a supposition. The correction therefore is 'but it is a time-consuming'.
2. Each galaxy is surrounded by a giant sphere of dark matter more than 10 times so wide as the visible portion of the galaxy.

A. the width of B. so wider than C. of the width to D. in width than E. No correction required

Answer: Option A
Explanation: It is 'more than 10 times the width of' something else. It has to take a noun and not an adjective. The comparison is between the width of the dark matter and the width of the visible portion of the galaxy. The comparison is brought out with the use of 'more than'. Hence the use of 'as wide as' or 'wider than' becomes absurd. The correction is '10 times of the width of'.
3. Studies have revealed what more is the reason people are asked to come up with in support of an idea, the less value they ascribe to each.

A. what more reasons B. that more is the reason C. what is the reason D. that the more reasons E. No correction required

Answer: Option D
Explanation: There are two sentences combined using the conjunction. The first clause is 'studies have revealed'. The rest forms another noun clause. What have the studies revealed? They have revealed that. Hence the appropriate conjunction is 'that'. This clause should have one main verb which is 'asked'. People are asked to come up with reasons in support of an idea. 'The more they are asked, the less they' is the appropriate way of framing this. The correction, therefore, is 'that the more reasons people are asked, the less value they'.
Para Completion
1. The threat perception level in Andhra Pradesh remains very high and available intelligence points to the presence of fundamentalist groups, and cash flows with foreign links. ------ To meet the challenge of terrorism successfully, these issues need to be addressed with a sense of urgency. (A) All these need to be watched, monitored and analyzed thoroughly if dastard, terrorist attacks are to be prevented. (B) Greater coordination among various wings of the state police and regular exchange of information and intelligence with the central agencies acquire importance in this exercise. (C) The success of the anti-terrorism strategy depends on the strength and credibility of counter-intelligence.

A. Only A B. A and B C. A and C D. Only C E. All the three

Answer: Option B
Explanation: 'All these' in statement A refers to the fundamentalist groups, cash flows, etc. mentioned in the first statement. These should be watched and monitored carefully in order to prevent terrorist attacks. Thus statement A has to follow the first sentence. Statement B which talks about yet another strategy to prevent terrorist attacks follows statement A and precedes the last statement which summarizes the paragraph by saying that these issues (i.e. The issues mentioned in statements A and B) should be addressed with a sense of urgency. Therefore statements A and B make a coherent paragraph with the first and last statements. C can follow the last sentence but not precede it.
2. Climate change and an increasing population could trigger a global food crisis in the next half-century as countries struggle for fertile land to grow crops and rear animals. ---- Competition over sparse resources may lead to conflicts and environmental destruction, the scientists fear. (A) To keep up with the growth in human population, more food will have to be produced worldwide over the next 50 years that has been during the past 10,000 years combined, the experts said. (B) But in many countries a combination of poor farming practices and deforestation will be exacerbated by climate change to steadily degrade soil fertility, having vast areas unsuitable for crops or grazing. (C) The warnings came as researchers around the world convened at a United Nations-backed forum in Iceland on sustainable development to address halve hunger and extreme poverty by 2015.

A. A and B B. Only B C. Only C D. None of these E. All the three

Answer: Option B
Explanation: The first sentence talks about how a change in climate and increasing population could lead to a food crisis. Statement A which talks about the opinion expressed by experts about how the growth in population will require increased production of food grains follows the first statement. Statement B which talks about the various factors which degrade soil fertility and leave the soil unsuitable for growing crops ideally precedes the last statement which talks about the consequences which this is likely to lead to. Therefore only A and B form a coherent paragraph along with the two given statements. C which can conclude the paragraph, can follow the last sentence but not precede it.
3. Despite strenuous efforts to ensure access to safe drinking water for people in developing countries, progress in reaching the unserved has been poor since 1990----- Water-related diseases continue to undermine the lives and well-being of the poor. (A) Rapid population growth, slow coverage expansion, and unplanned urbanization has led to inadequate, safe-water supplies. (B) Water availability is fundamental to health and hygiene practices. (C) Sanitation systems should be installed in order to safeguard the health of people.

A. Only C B. B and C C. A and B D. Only B E. None of these

Answer: Option E
Explanation: None of three sentences can be inserted between the two sentences as the two sentences convey the meaning adequately.
Sentence Completion
1. For nations conscious of the ----------- of modern war, peace must be the goal of their foreign policies.

A. incidence B. perils C. potentialities D. redundancies

Answer: Option C
2. The accused ----------- having made any statement.

A. refused B. rejected C. declaimed D. denied

Answer: Option D
3. His moral decadence was marked by his ----------- from the ways of integrity and honesty.

A. departure B. obsession C. opprobrium D. declivity

Answer: Option A
Fill in the blanks
1. _____ and discipline are the basic necessities of an organised society. (A) Peace (B) Harmony (C) Prosperity (D) Progress (E) Hierarchy (F) Concord

A. A and B B. B and F C. D and F D. C and D E. A and D

Answer: Option B
Explanation: The clue is 'an organized society'. More than 'peace', 'prosperity' or 'progress', an 'organised society' banks on 'harmony' and 'Concord'.
2. With the increase in human activities, there has been _____ use of natural resources thereby causing disharmony between human beings and the natural environment. (A) planned (B) reckless (C) excessive (D) careful (E) sustained (F) avaricious

A. C and F B. B and C C. A and D D. B and F E. D and E

Answer: Option B
Explanation: There has been an increase in human activities which has resulted in 'reckless' or 'excessive' use of natural resources. None of the other words can be used for the blank.
3. With the increase in human activities, there has been _____ use of natural resources thereby causing disharmony between human beings and the natural environment. (A) planned (B) reckless (C) excessive (D) careful (E) sustained (F) avaricious

A. C and F B. B and C C. A and D D. B and F E. D and E

Answer: Option B
Explanation: There has been an increase in human activities which has resulted in 'reckless' or 'excessive' use of natural resources. None of the other words can be used for the blank.
Error Correction (Underlined Part)
1. One must keep themselves abreast of current events particularly while preparing for competitive exams.

A. put themselves B. keep himself C. keep oneself D. put himself E. No correction required

Answer: Option C
Explanation: The pronoun 'themselves' does not agree with the subject of the sentence. 'One must keep oneself ...'
2. Merit is the only criteria which is adapted in the selection of candidates.

A. criterion which is adapted B. criterion that is adopted C. criterion that is adapted D. criterion what is adopted E. No correction is required

Answer: Option B
Explanation: 'Criteria' is plural. Here it has to be 'criterion'(in singular). 'Adapted' is inept in this context. It has to be 'adopted'.
3. Since the Chief Minister did not approve with their demands, the employees decided to intensify their strike.

A. approve of B. approve in C. approve on D. approve at E. No correction required

Answer: Option A
Explanation: The verb 'approve' takes the preposition 'of' in this context.
Passage Completion
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
Substitution
1. The plants and vegetation of a certain region.

A. flora B. fauna C. forest D. vegetation

Answer: Option A
2. A thing kept in the memory of a person.

A. gift B. elegy C. momento D. epitaph

Answer: Option C
3. One who is an expert in judging art, music, etc.

A. artist B. expert C. musician D. connoisseur

Answer: Option D
Idioms and Phrases
1. The result of the examination dashed my hopes.

A. failed B. kill someone C. frustrate D. bring great happiness

Answer: Option C
2. Oily tongue

A. rich food B. strong critic C. flattery D. hungry person

Answer: Option C
3. There is no need to rake up an old quarrel.

A. start B. end C. forget D. revive

Answer: Option D
Antonyms
1. Rotund

A. Round B. Unimportant C. Thin D. Dull

Answer: Option C
Explanation: Rotund means rounded or plump, therefore Thin is the opposite.
2. Common

A. Strange B. Uneasy C. Quick D. Fast

Answer: Option A
Explanation: common means ordinary or familiar; Strange means unfamiliar
3. Brazen

A. Bashful B. Boisterous C. Noisy D. Heated

Answer: Option A
Explanation: Brazen means to be defiant or insolent; Bashful means to be shy or timid
Sentence Arrangement
1. The house (P) about half a mile distant (Q) that stunds 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
2. The statement (P) therefore you must listen carefully (Q) what the speaker has said (R) in order to understand (S) will be made just once

A. SRPQ B. SPQR C. SPRQ D. RSPQ

Answer: Option C
3. Reading books (P) is a habit (Q) but also enlarges the mind (R) because it not only increases knowledge (S) which must be cultivated by everybody

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

Answer: Option C

Number Coding
1. If ANY = 40, MANY = 53 then MANIAC = ?

A. 41 B. 42 C. 43 D. 44 E. 45

Answer: Option 41
Explanation: In the given code, A = 1, B = 2, C = 3 and so on till Z =26. So, MANIAC = 13 + 1 + 14 + 9 + 1 + 3 = 41
2. If in a certain language, MORALE is coded as 296137, CHARCOAL is coded as 45164913, how is the word REAL-MOLE coded in that language?

A. 67193237 B. 67132937 C. 67123937 D. 67172937

Answer: Option 67132937
Explanation: Letter A M L C H R E O Code 1 2 3 4 5 6 7 9 Letter R E A L M O L E Code 6 7 1 3 2 9 3 7
3. If BATMAN is coded as 123416, PERMAN is coded as 987416, then TAPER is coded as?

A. 32987 B. 92897 C. 38972 D. 32978

Answer: Option 32987
Explanation: Letter A B T M N P E R Code 2 1 3 4 6 9 8 7 Letter T A P E R Code 3 2 9 8 7
Inserting Correct Mathematical Sign
1. Which of the following interchange of number would make the given equation correct? 8 x 20 ÷ 3 + 9 - 5 = 38

A. 3, 9 B. 3, 8 C. 8, 9 D. 3, 5

Answer: Option D
Explanation: 8 x 20 ÷ 3 + 9 - 5 = 38 ⇒ 8 x 20 ÷ 5 + 9 - 3 = 38 ⇒ 8 x 4 = 9 - 3 = 38 ⇒ 32 + 9 - 3 = 38
2. Which of the following interchange of sing or numbers would make the given equation correct? (18 ÷ 9) + 3 x 5 = 45

A. x, ÷ B. +, ÷ C. 18 and 5 D. 3 and 9

Answer: Option B
Explanation: (18 ÷ 9) + 3 x 5 = 45 (18 + 9) ÷ 3 x 5 = 45 ⇒ 27 ÷ 3 x 5 = 45
3. If 'm' is the resultant of the first row, what is the resultant of the second row? 24 64 15 m 11 15

A. 165 B. 75 C. 20 D. 3 E. None of these

Answer: Option B
Explanation: Rules (i) (Odd number) x (Composite odd number) (ii) (Even number) + (Odd number) (iii) (Even number) → (Perfect square number), then (Perfect square number) - (Even number) (iv) (Odd number) ÷ (Prime odd number) (v) (Odd number) - (Even number) Solution 1st Row 24 64 15 ⇒ 64 - 24 = 40 [rule (iii)] ⇒ 40 + 15 = 55 [rule (ii)] = m 2nd Row m 11 15 ⇒ 55 11 15 ⇒ 55 ÷ 11 = 5 [rule (iv)] ⇒ 5 x 15 = 75 [rule (i)] Resultant of second row = 75
Odd Man Out
1. Choose the number which is different from others in the group.

A. 35 B. 49 C. 50 D. 63 E. 140

Answer: Option 50
Explanation: Each number is divisible by 7, except 50.
2. Choose the number which is different from others in the group

A. 263 B. 111 C. 242 D. 551 E. 383

Answer: Option 383
Explanation: In all other numbers, the middle digit is equal to the product of the other two digits. (263) - 2 x 3 = 6 (111) – 1 x 1 = 1 (242) – 2 x 2 = 4 (551) – 5 x 1 = 5 (383) – 3 x 3 = 9, but the number given is 383.
3. Choose the number which is different from others in the group

A. 6788 B. 6878 C. 6482 D. 9848

Answer: Option 6482
Explanation: In all other numbers, the sum of digits is 29, while in option C, it is 20. 6 + 4 + 8 + 2 = 20 6 + 7 + 8 + 8 = 29 6 + 8 + 7 + 8 = 29 9 + 8 + 4 + 8 = 29
Mutual Relation Problem
1. How is Ravi's mother's father's son related to Ravi's father?

A. Cousin B. Uncle C. Brother-in-law D. Son-in-law E. Mother

Answer: Option C
Explanation: Ravi's mother's father's son is Ravi's mother's brother i.e. Ravi's uncle. Ravi's uncle is Ravi's father's brother-in-law.
2. Sanjana's brother-in-law is the son of Ramya. How is Sanjana's husband related to Ramya's husband if Sanjana had no siblings?

A. Nephew B. Son C. Son-in-law D. Father-in-law E. Cannot be determined

Answer: Option B
Explanation: Sanjana's brother-in-law is the son of Ramya means Ramya is Sanjana's mother-in-law. Sanjana's husband is Ramya's son i.e. Sanjana's husband is Ramya's husband's son.
3. Use the relations defined below and answer the following questions. A + B means A is the mother of B. A - B means A is the sister of B. A * B means A is the father of B. A / B means A is the son of B. A = B means A is the brother of B. A != B means A is the daughter of B. Which of the following means P is the aunt of Q?

A. P - R / Q B. P + R * Q C. P != R * Q D. P - R + Q E. P * R = Q

Answer: Option D
Explanation: P - R + Q means P is the sister of R, R is the mother of Q. P is the aunt of Q.
Number Puzzle
1. Which number replaces the question mark?

A. 10 B. 11 C. 12 D. 13

Answer: Option B
Explanation: The numbers in the right half of the series: 2, 3, 4, 5 The numbers in the left half from the series : 5, 7, 9, 11
2. Which number replaces the question mark?

A. 75 B. 73 C. 70 D. 60

Answer: Option C
Explanation: 7x2+2= 16; 16x2+2 = 34 and so on. So missing number = 34x2+2 = 70
3. Which number replaces the question mark?

A. 38 B. 42 C. 40 D. 37

Answer: Option C
Explanation: From left to right, numbers increases by 2,3,4 and 5.
Human Relation
1. Read the following information carefully and answer the questions below. 1. Rohansh is the son of Aryansh’s father’s sister. 2. Somit is the son of Disha who is the mother of Aarav and Grandmother of Aryansh. 3. Lalit is the father of Ananya and grandfather of Rohansh. 4. Disha is the wife of Lalit. How is Aarav’s wife related to Ananya?

A. Niece B. Mother C. Sister D. Sister-in-law

Answer: Option D
Explanation: Ananya is Lalit’s daughter, Aarav is Disha’s son and Lalit is Disha’s husband. So, Aarav is Ananya’s brother and his wife is Ananya’s sister-in-law.

2. Read the following information carefully and answer the question below. 1. Rohansh is the son of Aryansh’s father’s sister. 2. Somit is the son of Disha who is the mother of Aarav and Grandmother of Aryansh. 3. Lalit is the father of Ananya and grandfather of Rohansh. 4. Disha is the wife of Lalit. How is Disha related to Rohansh?

A. Aunt B. Grandmother C. Sister D. Cousin

Answer: Option B
Explanation: Disha is the wife of Lalit, and Lalit is the grandfather of Rohansh. Rohansh is Disha’s grandson.

3. Read the following information carefully and answer the questions below. There are six children playing football, namely, Z, Y, X, W, V, and U. 1. Z and V are brothers. 2. U is the sister of V. 3. X is the only son of Z’s uncle. 4. Y and W are daughters of the brother of X’s father. How is W related to Z?

A. Uncle B. Cousin C. Sister D. Niece

Answer: Option B
Explanation: W’s father is the brother of X’s father and X’s father is Z’s uncle. So, W’s father is also Z’s uncle. Thus, W is Z’s cousin.

Non-Verbal Reasoning
1. Choose a figure which would most closely resemble the unfolded form of Figure (Z).

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

Answer: Option C
2. Choose a figure which would most closely resemble the unfolded form of Figure (Z).

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

Answer: Option C
3. Choose a figure which would most closely resemble the unfolded form of Figure (Z).

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

Answer: Option D
Distance and Direction Sense Test
1. Read the following information carefully and answer the question below. 1. Rambo walked 40 m towards north and killed a terrorist. 2. Then he silently turned right and walked 60 m. 3. Then he turned right, walks 70 m and again he turned left, walks 30 m. 4. Finally, he turned left and walks 30 m. In which direction and how far is he from the starting position?

A. 90 m East B. 90 m West C. 90 m South D. 90 m North

Answer: Option A
Explanation: Required distance = AF = 60 + 30 = 90

2. Read the following information to answer the given question. 1. Rohit walked 50 m towards the south, then he turned to his left and ran 40 m. He then turned to his left and walked 50 m. 2. He again turned to his right and ran 30 m. At what distance is he from the starting point and in which direction?

A. 70 m West B. 75 m East C. 75 m North D. 70 m East

Answer: Option D
Explanation: Required distance = AE = 40 + 30

3. Read the following information to answer the given question. 1. Starting from point A, Jackie Chan walked 50 m towards west. 2. He turned left and walked 20 m and did a summersault. 3. He then turned left and walked 50 m and did a backflip. 4. After this, he turned to his right and slowly walked 10 m. How far and in which direction is Jackie Chan from A?

A. 30 m, South B. 30 m, North C. 40 m, South D. 40 m, North

Answer: Option A
Explanation: Required distance = AD + DE = 20 + 10 = 30

Dictionary Words
1. Arrange the following words according to the dictionary. 1. Horse, 2. Harness, 3. Horizon, 4. Horlicks, 5. Hormone

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

Answer: Option C
Explanation: after arranging as per the order of dictionary we get; Harness, Horizon, Horlicks, Hormone, Horse Hence the correct sequence is 2, 3, 4, 5, 1
2. Arrange the following in dictionary order. Then which will be the second word? 1. Specific, 2. Spectacle, 3. Specified, 4. Spectacular

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

Answer: Option B
Explanation: In dictionary order, words are put in alphabetically according to the first letter in which they differ. Thus, the order will be: Specific (1), Specified (3), Spectacle (2), Spectacular (4)
3. Arrange the following words as per order in the dictionary. 1. Oppose, 2. Opposite, 3. Opposition, 4. Optional, 5. Opportune

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

Answer: Option D
Explanation: In dictionary order, words are placed in alphabetical order on the basis of the first letter in which they differ. Therefore, the order will be: Opportune(5), Oppose (1), Opposite (2), Opposition (3), Optional (4).
Mathematical Operations (Assigning Value to Arithmetic Sign)
Directions (Questions 1 to 3): In each of the following questions, which one of the four interchanges in signs and numbers would make the given equation correct
1. 6 x 4 + 2=16

A. + and x, 2 and 4 B. + and x, 2 and 6 C. + and x, 4 and 6 D. None of these

Answer: Option C
2. (3+ 4)+ 2 = 2

A. + and +, 2 and 3 B. + and +, 2 and 4 C. + and +, 3 and 4 D. No interchange, 3 and 4

Answer: Option A
3. 4 x 6 – 2 – 14

A. x to +, 2 and 4 B. – to +, 2 and 6 C. – to +, 2 and 6 D. x to +, 4 and 6

Answer: Option C
Analogy
1. Pigeon : Peace:: White flag:?

A. Friendship B. Victory C. Surrender D. War

Answer: Option C
Explanation: Pigeon is a symbol of peace and the white flag is a symbol of surrender.
2. Teheran: Iran:: Beijing:?

A. China B. Japan C. Turkey D. Malaysia

Answer: Option A
Explanation: Teheran is the capital of Iran and Beijing is the capital of China.
3. Enough: Excess:: Sufficiency:?

A. Adequacy B. Surplus C. Competency D. Import

Answer: Option B
Explanation: Sufficiency indicates 'enough' and surplus indicates 'excess'.
Numerical Series
1. 41, 93, 165, 257, 369, ?

A. 4861 B. 4211 C. 4911 D. 4411

Answer: Option C
Explanation: Let’s find out differences, But from differences, we are not getting any kind of relations. This is the miscellaneous type of question in which, we can break down numbers. Let’s break down each and every number. So we got proper logic for this series i.e. first half is the squares of some continuous numbers like 2, 3, 4, 5, 6 and second half is continuous odd numbers
2. 21, 34, 55, 89, 144, ?, 377

A. 199 B. 233 C. 220 D. 241

Answer: Option B
Explanation: First, we have to find out the difference between the two terms because numbers are not randomly increasing. We got differences are +13, +21, +34, +55. Differences clearly show the Fibonacci series (i.e. Addition of previous 2 numbers). So the answer is 144+89=233
3. 8, 27, 64, 125, ?, 343

A. 312 B. 216 C. 189 D. 225

Answer: Option B
Explanation: We can clearly see that 8, 27, 64 are the cubes of 2, 3, 4 respectively. So after 125, there must be 63 = 216. So the answer is 216
Tallest, Youngest Relation
1. If (i) P is taller than Q ; (ii) R is shorter tan P; (iii) S is taller than T but shorter than Q, Then who among them is the tallest ?

A. P B. Q C. S D. T E. Can`t be determined

Answer: Option A
Explanation: In terms of height, we have : Q < P, R < P, T < S, S < Q. So, the sequence becomes : T < S < Q < R < P or T < S < R < Q < P. Whichever may be the case, P is the tallest.
2. (i). A, B, C, D, E, and F are six students in a class. (ii). B and C are shorter than F but heavier than A. (iii). D is heavier than B and taller than C. (iv). E is shorter than D but taller than F. (v). F is heavier than D. (vi). A is shorter than E but taller than F. Who among them is the tallest?

A. A B. B C. D D. E E. None of these

Answer: Option C
Explanation: In terms of height, we have : B < F, C < F, C < D, E < D, F < E, A < E, F < A. So, C < F < E < D, B < F, F < A < E Thus, the sequence becomes : B < C < F < A < E < D or C < B < F < A < E < D. In terms of weight, we have : A < B, A < C, B < D, D < F. So, A < B < D < F, A < C. Thus, the sequence becomes : A < C < B < D < F or A < B < C < D < F or A < B < D < C < F. Clearly, D is the tallest.
3. (i). A, B, C, D, E, and F are six students in a class. (ii). B and C are shorter than F but heavier than A. (iii). D is heavier than B and taller than C. (iv). E is shorter than D but taller than F. (v). F is heavier than D. (vi). A is shorter than E but taller than F. Which of the following groups of friends is shorter than A?

A. B, C only B. D, B, C only C. E, B, C only D. F, B, C only E. None of these

Answer: Option D
Explanation: In terms of height, we have : B < F, C < F, C < D, E < D, F < E, A < E, F < A. So, C < F < E < D, B < F, F < A < E Thus, the sequence becomes : B < C < F < A < E < D or C < B < F < A < E < D. In terms of weight, we have : A < B, A < C, B < D, D < F. So, A < B < D < F, A < C. Thus, the sequence becomes : A < C < B < D < F or A < B < C < D < F or A < B < D < C < F. Clearly, F, B, and C are shorter than A.
Number Ranking & Time Sequence Test
1. Sanjeev ranks seventh from the top and twenty-eight from the bottom in a class. How many students are there in the class?

A. 37 B. 36 C. 35 D. 34

Answer: Option D
Explanation: Clearly, number of students in the class = (6 + 1 + 27) = 34.
2. Manisha ranked sixteenth from the top and twenty-ninth from the bottom among those who passed an examination. Six boys did not participate in the competition and five failed in it. How many boys were there in the class?

A. 40 B. 44 C. 50 D. 55 E. 58

Answer: Option D
Explanation: Number of boys who passed = (15 + 1 + 28) = 44. Total number of boys in the class = 44 + 6 + 5 = 55
3. Manoj and Sachin 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. 20th and 24th B. 24th and 20th C. 25th and 21st D. 26th and 22nd E. None of these

Answer: Option C
Explanation: Number of students behind Manoj in rank = (31 - 7) = 24. So, Manoj is 25th from the bottom. Number of students behind Sachin in rank = (31 - 11) = 20. So, Sachin is 21st from the bottom.

Height and Distance
1. The angle of elevation of the sun is 60°. Find the length of the shadow of a man who is 180 cm tall.

A. 127.27 cm B. 103.92 cm C. 311.77 cm D. None of these

Answer: Option B
Explanation:
Let AB be the man and BC be his shadow AB = 180 tan60° = AB/BC [latex]\sqrt {3}[/latex] = 180/BC BC = 103.92 cm
2. A ship is approaching an observation tower. If the time taken by the ship to change the angle of elevation from 30° to 45° is 10 minutes, then find the time the ship will take to cover the remaining distance and reach the observation tower assuming the ship to be traveling at a uniform speed.

A. 15 minutes 20 seconds B. 13 minutes 40 seconds C. 16 minutes 40 seconds D. Cannot be determined

Answer: Option B
Explanation:
Let AB be the observation tower and h be its height. Also, let the ship be at C when the angle of elevation is 30° and at D when the angle of elevation is 45°. The time taken by the ship to travel from C to D is 10 minutes and we need to find out the time the ship will take to reach B from D. tan30 = AB/CB = h/CB = [latex]\frac{1}{\sqrt {3}}[/latex] CB = [latex]\sqrt {3}[/latex]*h tan45 = AB/DB = h/DB = 1 DB = h CD = CB – DB = ([latex]\sqrt {3}[/latex]h – h) = h([latex]\sqrt {3}[/latex] – 1) Now, as h([latex]\sqrt {3}[/latex] – 1) distance is covered in 10 minutes, a distance of h is covered in = 13.66 minutes = 13 minutes 40 seconds
3. On the two sides of a road are two tall buildings exactly opposite to each other. The height of the taller building is 60 m. If the angle of elevation from the top of the smaller building to the top of the taller one is 30° and the angle of depression from top of the taller building to the foot of the smaller one is 30°, then find the height of the smaller building.

A. 45 B. 30 C. 40 D. 20

Answer: Option C
Explanation:
Let AB be the taller building of height 60m and CD be the smaller one of height h m. tan30= DB/AB = DB/60 = [latex]\frac{1}{\sqrt {3}}[/latex] DB = 34.64 m tan30= AE/CE = AE/DB = [latex]\frac{1}{\sqrt {3}}[/latex] = AE/34.64 AE = 60 – h = 20 h = 40 m
Volume and Surface Area
1. Find the number of cubes of 2cm edge will be required to fill a cubical box of 2m edge.

A. 10[latex]^{5}[/latex] B. 10[latex]^{3}[/latex] C. 10[latex]^{4}[/latex] D. 10[latex]^{6}[/latex]

Answer: Option D
Explanation: Volume of the box = N*volume of the cubes … (N = number of cubes) 2[latex]^{3}[/latex] = N*(0.02)[latex]^{3}[/latex] 8 = N*(0.000008) N = 10[latex]^{6}[/latex]
2. What is the mass of the man, if a boat of length 4m, width 1.5m floating on a river sinks by 0.015 m when the man gets on the boat?

A. 100kg B. 90kg C. 80kg D. 70kg

Answer: Option B
Explanation: Volume of water displaced = 4*1.5*0.015 = 0.09m[latex]^{3}[/latex] Mass = volume of water displaced * density of water Mass = 0.09 * 1000 Mass = 90kg
3. What is the ratio of the volumes of a right cylinder to that of a right cone having equal diameters?

A. 1:3 B. 3:1 C. 2:3 D. 3:2

Answer: Option B
Explanation: a volume of cylinder : volume of cone pr[latex]^{2}[/latex]h : 1/3 pr[latex]^{2}[/latex]h = 3 : 1
Logarithm
1. If [latex]log_{10}[/latex] 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: [latex]log_{10}[/latex] 80 = [latex]log_{10}[/latex] (8 x 10) = [latex]log_{10}[/latex] 8 + [latex]log_{10}[/latex] 10 = [latex]log_{10}[/latex] (2[latex]^{3}[/latex] ) + 1 = 3 [latex]log_{10}[/latex] 2 + 1 = (3 x 0.3010) + 1 = 1.9030.
2. If [latex]log_{10}[/latex] 5 + [latex]log_{10}[/latex] (5x + 1) = [latex]log_{10}[/latex] (x + 5) + 1, then x is equal to:

A. 1 B. 3 C. 5 D. 10

Answer: Option B
Explanation: [latex]log_{10}[/latex] 5 + [latex]log_{10}[/latex] (5x + 1) = [latex]log_{10}[/latex] (x + 5) + 1 [latex]log_{10}[/latex] 5 + [latex]log_{10}[/latex] (5x + 1) = [latex]log_{10}[/latex] (x + 5) + log10 10 [latex]log_{10}[/latex] [5 (5x + 1)] = [latex]log_{10}[/latex] [10(x + 5)] 5(5x + 1) = 10(x + 5) 5x + 1 = 2x + 10 3x = 9 x = 3.
3. If log 2 = 0.30103, the number of digits in 2[latex]^{64}[/latex] is:

A. 18 B. 19 C. 20 D. 21

Answer: Option C
Explanation: log (2[latex]^{64}[/latex]) = 64 x log 2 = (64 x 0.30103) = 19.26592 Its characteristic is 19. Hence, then number of digits in 2[latex]^{64}[/latex]6 is 20.
Races and Games
1. If in a race of 80m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:

A. 20m B. 16m C. 11m D. 10m

Answer: Option B
Explanation: The difference in the timing of A and B is 5 seconds. Hence, A beats B by 5 seconds. The distance covered by B in 5 seconds = (80 * 5) / 25 = 16m Hence, A beats B by 16m.
2. If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:

A. 140m B. 125m C. 100m D. 110m

Answer: Option B
Explanation: When X runs 48m, Y runs 42m. Hence, when X runs 1000m, Y runs (1000 * 42) / 48 = 875m X beats Y by 125m.
3. In a race of 800m, if the ratio of the speeds of two participants P and R is 3:4, and P has a start of 120m, then R beats P by:

A. 100m B. 80m C. 90m D. 110m

Answer: Option B
Explanation: As P has a start of 120m, P has to cover 680m while R has to cover 800m. Now, when P covers 3m, R covers 4m. Hence, when R covers 800m, P covers (800 * 3) / 4 = 600m Therefore, R beats P by 80m.
Chain Rule
1. A wheel that has 6 cogs has meshed with a larger wheel of 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, less revolutions (Indirect Proportion) 14 : 6 :: 21 : x => 14 x x = 6 x 21 x = [latex]\frac {6 \times 21}{14}[/latex] x = 9.
2. 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.
3. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?

A. 20 B. 30 C. 40 D. 50

Answer: Option B
Explanation: There is a meal for 200 children. 150 children have taken the meal. The remaining meal is to be catered to 50 children. Now, 200 children = 120 men. 50 children = [latex]\frac {120 \times 50}{2500}[/latex] = 30 men.
Permutation and Combination
1. A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?

A. 21 B. 12 C. 9 D. 108 E. 101

Answer: Option D
Explanation: The boy can select one trouser in nine ways. The boy can select one shirt in 12 ways. The number of ways in which he can select one trouser and one shirt is 9 * 12 = 108 ways.
2. Using all the letters of the word "THURSDAY", how many different words can be formed?

A. 8 B. 8! C. 7! D. 7 E. 6!

Answer: Option B
Explanation: Total number of letters = 8 Using these letters the number of 8 letters words formed is [latex]^8P_ {8}[/latex] = 8!.
3. Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?

A. 3 B. 6 C. 24 D. 120 E. 12

Answer: Option B
Explanation: There are five letters in the given word. Consider 5 blanks The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways. The number of words = 3! = 6.
Surds and Indices
1. The value of [(10)[latex]^{150}[/latex] ÷ (10)[latex]^{146}[/latex]]

A. 1000 B. 10000 C. 100000 D. 10[latex]^{6}[/latex]

Answer: Option B
Explanation: (10)[latex]^{150}[/latex] ÷ (10)[latex]^{146}[/latex] = [latex]\frac {(10)^{150}}{(10)^{146}}[/latex] = 10[latex]^{150- 146}[/latex] = 10[latex]^{4}[/latex] = 10000.
2. (0.04)[latex]^{-1.5}[/latex] = ?

A. 25 B. 125 C. 250 D. 625

Answer: Option B
Explanation: (0.04)[latex]^{-1.5}[/latex] =([latex]\frac {4}{100})^{-1.5}[/latex] = ([latex]\frac {1}{25})^{-(3/2)}[/latex] = (25)[latex]^{3/2}[/latex] = (5[latex]^{2}[/latex])[latex]^{3/2}[/latex] = (5)[latex]^{2\times {(3/2)}}[/latex] = 5[latex]^{3}[/latex] = 125.
3. ([latex]\frac {x^{b}}{x^{c}})^{b + c - a}[/latex] . ([latex]\frac {x^{c}}{x^{a}})^{c + a - b}[/latex] . ([latex]\frac {x^{a}}{x^{b}})^{a + b - c}[/latex] = ?

A. x[latex]^{abc}[/latex] B. 1 C. x[latex]^{ab + bc + ca}[/latex] D. x[latex]^{a + b + c}[/latex]

Answer: Option B
Explanation: Given Exp. = x[latex]^{(b - c)(b + c - a)}[/latex] . x[latex]^{(c - a)(c + a - b)}[/latex] . x[latex]^{(a - b)(a + b - c)}[/latex] = x[latex]^{(b - c)(b + c) - a(b - c)}[/latex] . x[latex]^{(c - a)(c + a) - b(c - a)}[/latex] . x[latex]^{(a - b)(a + b) - c(a - b)}[/latex] = x[latex]^{(b^{2} - c^{2} + c^{2} - a^{2} + a^{2} - b^{2})}[/latex] . x[latex]^{-a(b - c) - b(c - a) - c(a - b)}[/latex] = ([latex]x^{0} \times x^{0}[/latex]) = (1 x 1) = 1.
Pipes and Cistern
1. Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?

A. 9 min B. 10 min C. 11 min D. 12 min

Answer: Option B
Explanation: 4/12 + x/15 = 1 x = 10
2. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?

A. 16 hrs B. 20 hrs C. 40 hrs D. 25 hrs

Answer: Option C
Explanation: 1/8 - 1/x = 1/10 x = 40
3. A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in the inlet is opened and due to the leak, the tank is emptied in 8 hours. The capacity of the tank is?

A. 5260 liters B. 5760 liters C. 5846 liters D. 6970 liters

Answer: Option B
Explanation: 1/x - 1/6 = -1/8 x = 24 hrs 24 * 60 * 4 = 5760
Boats and Streams
1. A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?

A. 1 kmph B. 5 kmph C. 8 kmph D. 3 kmph

Answer: Option A
Explanation: DS = 6 US = 4 S =? S = (6 - 4)/2 = 1 kmph
2. A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?

A. 3.12 km B. 2.88 km C. 3 km D. 2 km

Answer: Option B
Explanation: M = 6 S = 1.2 DS = 6 + 1.2 = 7.2 US = 6 - 1.2 = 4.8 x/7.2 + x/4.8 = 1 x = 2.88
3. The current of a stream at 1 kmph. A motorboat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motorboat in still water is?

A. 6 kmph B. 7 kmph C. 8.5 kmph D. 8 kmph

Answer: Option A
Explanation: S = 1 M = x DS = x + 1 US = x - 1 35/(x + 1) + 35/(x - 1) = 12 x = 6
Partnership
1. A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?

A. Rs.18000 B. Rs.15000 C. Rs.17000 D. Rs.14000

Answer: Option D
Explanation: 25*12: 30*12: 35*8 15: 18: 14 14/47 * 47000 = 14000
2. A and B enter into a partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?

A. 6 months B. 8 months C. 10 months D. 7 months

Answer: Option D
Explanation: 7 * 8 : 9 * x = 8:9 => x= 7
3. A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?

A. Rs.3750 B. Rs.3000 C. Rs.3200 D. Rs.2160

Answer: Option B
Explanation: 60*5: 36*6: 75*3 100: 72: 75 100/247 * 7410 = 3000
Ratio and Proportion
1. What number has a 5:1 ratio to the number 10?

A. 42 B. 50 C. 55 D. 62

Answer: Option B
Explanation: 5:1 = x: 10 x = 50
2. If a: b = 7: 5, b: c = 9: 11, find a: b: c?

A. 63: 14: 55 B. 63: 45: 55 C. 14: 14: 15 D. 7: 14: 15

Answer: Option B
Explanation: a: b = 7: 5 b: c = 9: 11 a: b: c = 63: 45: 55
3. The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?

A. 3 B. 4 C. 5 D. 6

Answer: Option A
Explanation: 2x , 3x 8x cube + 27x cube = 945 35x cube = 945 x cube = 27 => x = 3
Problems on H.C.F and L.C.M.
1. LCM of 1/3, 5/6, 5/4, 10/7 is:

A. 10/7 B. 10 C. 10/11 D. 11/10

Answer: Option B
Explanation: LCM of numerators = 10 HCF of denominators = 1 => 10/1 = 10
2. HCF of 3/16, 5/12, 7/8 is:

A. 2/47 B. 3/47 C. 1/48 D. 5/48

Answer: Option C
Explanation: HCF of numerators = 1 LCM of denominators = 48 => 1/48
3. The least square number which divides 8, 12 and 18 is?

A. 100 B. 121 C. 64 D. 144

Answer: Option D
Explanation: LCM = 72 72 * 2 = 144
Banker’s Discount
1. The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:

A. Rs. 360 B. Rs. 432 C. Rs. 540 D. Rs. 1080

Answer: Option A
Explanation: Sum =[latex]\frac {B.D. \times T.D.}{B.D. - T.D.}[/latex] = Rs. [latex]\frac {72 \times 60}{72 - 60}[/latex] = Rs.[latex]\frac {72 \times 60}{12}[/latex] = Rs. 360.
2. The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:

A. Rs. 72 B. Rs. 36 C. Rs. 54 D. Rs. 50

Answer: Option D
Explanation: T.D. = [latex]\frac {B.G. \times 100}{R \times T}[/latex] = Rs. [latex]\frac {6 \times 100}{12 \times 1}[/latex] = Rs. 50.
3. The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker's discount is:

A. Rs. 37 B. Rs. 37.62 C. Rs. 34.38 D. Rs. 38.98

Answer: Option B
Explanation: B.G. =[latex]\frac {(T.D.)^{2}}{P.W.}[/latex] = Rs. [latex]\frac {36 \times 36}{800}[/latex] = Rs. 1.62 B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62
Compound Interest
1. Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?

A. Rs.81.60 B. Rs.160 C. Rs.1081.60 D. Rs.99

Answer: Option A
Explanation: SI = 40 + 40 CI = 40 + 40 + 1.6 = 81.6
2. The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?

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

Answer: Option B
Explanation: SI = 20 + 20 CI = 20 + 21 20 ---- 1 100 ---- ? => 5%
3. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?

A. 16 B. 8 C. 12 D. 20

Answer: Option C
Explanation: 100 ---- 200 ---- 4 400 ---- 4 800 ---- 4 4 + 4 + 4 = 12 years
Area
1. What is the area of the square field whose side of length 15 m?

A. 225 sq m B. 220 sq m C. 100 sq m D. 30 sq m

Answer: Option A
Explanation: 15 * 15 = 225 sq m
2. If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?

A. 650 m B. 600 m C. 200 m D. 300 m

Answer: Option C
Explanation: 2(l + 100) = 600 => l = 200 m
3. A rectangular field has an area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?

A. 12 m, 10 m B. 13 m, 12 m C. 14 m, 11 m D. 15 m, 10 m

Answer: Option D
Explanation: lb = 150 2(l + b) = 50 => l + b = 25 l – b = 5 l = 15 , b = 10
Time and Work
1. A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?

A. 16 2/3 days B. 13 1/3 days C. 17 1/3 days D. 16 1/2 days

Answer: Option B
Explanation: 5/30 + 20/x = 1 x = 24 1/30 + 1/24 = 3/40 40/3 = 13 1/3 days
2. A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?

A. 18 days B. 20 days C. 24 days D. 30 days

Answer: Option C
Explanation: 2c = 1/4 + 1/6 – 1/3 = 1/12 c = 1/24 => 24 days
3. A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?

A. 18 days B. 12 days C. 24 days D. 10 days

Answer: Option A
Explanation: 8/12 + 6/x = 1 X = 18 days
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. 0.04 x 0.0162 is equal to:

A. 6.48 x 10[latex]^{-3}[/latex] B. 6.48 x 10[latex]^{-4}[/latex] C. 6.48 x 10[latex]^{-5}[/latex] D. 6.48 x 10[latex]^{-6}[/latex]

Answer: Option B
Explanation: 4 x 162 = 648. Sum of decimal places = 6. So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10[latex]^{-4}[/latex]
3. 0.002 x 0.5 = ?

A. 0.0001 B. 0.001 C. 0.01 D. 0.1

Answer: Option B
Explanation: 2 x 5 = 10. Sum of decimal places = 4 0.002 x 0.5 = 0.001
Probability
1. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.

A. 1/216 B. 1/36 C. 5/9 D. 5/12 E. 7/12

Answer: Option B
Explanation: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6 = 216 ways. Hence the probability is 6/216 = 1/36
2. Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is -.

A. 7/12 B. 5/9 C. 1/36 D. 5/12 E. 8/9

Answer: Option B
Explanation: No two dice show the same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways. Thus 6 * 5 * 4 = 120 favourable cases. The total cases are 6 * 6 * 6 = 216. The probability = 120/216 = 5/9.
3. If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is -.

A. 1/25 B. 1/2 C. 4/13 D. 1/10 E. 9/13

Answer: Option A
Explanation: We have 1, 8, 27 and 64 as perfect cubes from 1 to 100. Thus, the probability of picking a perfect cube is 4/100 = 1/25.
Average
1. The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?

A. 15 B. 9 C. 18 D. 21

Answer: Option B
Explanation: 3x + 5x + 7x = 45 x =3 3x = 9
2. The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?

A. 12.4 B. 14 C. 16 D. 18.6

Answer: Option C
Explanation: 10 * 15 + 36 – 26 = 160/10 = 16
Stocks and Share
1. 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.
2. A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:

A. 7.5% B. 8% C. 9.7% D. None of these

Answer: Option B
Explanation: By investing Rs. 1552, income = Rs. 128. By investing Rs. 97, income = Rs. ([latex]\frac {128}{1552}[/latex] x 97) = Rs. 8. Dividend = 8%
3. A 12% stock yielding 10% is quoted at:

A. Rs. 83.33 B. Rs. 110 C. Rs. 112 D. Rs. 120

Answer: Option D
Explanation: To earn Rs. 10, money invested = Rs. 100. To earn Rs. 12, money invested = Rs. ([latex]\frac {100}{10}[/latex] x 12) = Rs. 120. Market value of Rs. 100 stock = Rs. 120.
Square Root and Cube Root
1.[latex]\sqrt { 0.0169 \times ?}[/latex] = 1.3

A. 10 B. 100 C. 1000 D. None of these

Answer: Option B
Explanation: Let[latex]\sqrt { 0.0169 \times x}[/latex] = 1.3. Then, 0.0169x = (1.3)[latex]^{2}[/latex] = 1.69 x =[latex]\frac {1.69}{0.0169}[/latex] = 100
2. How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8?

A. 1 B. 2 C. 3 D. None of these

Answer: Option D
Explanation: A number ending in 8 can never be a perfect square.
3. 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 = 2[latex]^{2}[/latex] x 3[latex]^{2}[/latex] x 7[latex]^{2}[/latex] x 11[latex]^{2}[/latex] = 213444
Problems on Ages
1. A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?

A. 32 years B. 36 years C. 40 years D. 48 years

Answer: Option C
Explanation: Let the mother's present age be x years. Then, the person's present age = 2/5 x years. (2/5 x + 8) = 1/2 (x + 8) 2(2x + 40) = 5(x + 8) => x = 40
2. The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

A. 12 years B. 14 years C. 18 years D. 20 years

Answer: Option D
Explanation: Let the present ages of son and father be x and (60 - x) years respectively. Then, (60 - x) - 6 = 5(x - 6) 6x = 84 => x = 14 Son's age after 6 years = (x + 6) = 20 years.
3. A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:

A. 19 years B. 14 years C. 33 years D. 38 years

Answer: Option B
Explanation: Let the son's present age be x years. Then, (38 - x) = x 2x = 38 => x = 19 Son's age 5 years back = (19 - 5) = 14 years.