Directions (Q1 - Q3): In each of the questions below are given three statements, followed by conclusions: I, II, III, IV. Read the conclusions and then decide which of the given conclusions logically follows from the given statements.
Q1. Statements: All the actors are girls. All the girls are beautiful. Conclusions: I. All the actors are beautiful. II. Some girls are actors.

A. Only (I) conclusion follows B. Only (II) conclusion follows C. Either (I) or (II) follows D. Neither (I) nor (II) follows E. Both (I) and (II) follow

Q2. Statements: All the windows are doors. No door is a wall. Conclusions: I. Some windows are walls. II. No wall is a door.

A. Only (I) conclusion follows B. Only (II) conclusion follows C. Either (I) or (II) follows D. Neither (I) nor (II) follows E. Both (I) and (II) follow

Q3. Statements: Some cows are crows. Some crows are elephants. Conclusions: I. Some cows are elephants. II. All crows are elephants.

A. Only (I) conclusion follows B. Only (II) conclusion follows C. Either (I) or (II) follows D. Neither (I) nor (II) follows E. Both (I) and (II) follow

Directions (Q4 - Q6): Study the given information and answer the following questions.
A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule. The following is an illustration of input and its rearrangement:
Input: can now 18 16 27 all done 36 insert 49 Step I: 16 18 can now 27 all done 36 insert 49 Step II: 16 18 all can now 27 done 36 insert 49 Step III: 16 18 all can 27 36 now done insert 49 Step IV: 16 18 all can 27 36 done insert now 49 Step V: 16 18 all can 27 36 done insert 49 now Step V is the last step of the rearrangement. As per the rules followed in the above steps, find out in each of the following questions the appropriate step for the following input.
Input: 57 19 professor male 28 correct 36 38 47 female doctor 51 study
Q4. Which element is third to the right of ‘female’ in Step V ?

A. 38 B. Professor C. Study D. 51 E. None of these

Q5. What is the position of ‘male’ in the final step ?

A. 9[latex]^{th}[/latex] from the left B. 2[latex]^{nd}[/latex] from the right C. 8[latex]^{th}[/latex] from the left D. 5[latex]^{th}[/latex] from the right E. None of these

Q6. Which of the following is the third element from the left end of Step III ?

A. 38 B. 57 C. Correct D. Doctor E. None of these

Directions (Q7 - Q9):Study the following questions which are the Alphanumerical Questions and answer them below.
Q7. DIFFICULT is coded as WRUURXFOG, then what will be the code for EXTREME ?

A. VEJHFDV B. WFGINVF C. VFCIUNG D. VCGIVNV E. None of these

Q8. If in a certain Code HEADER is written as IDBCFQ, then how FOOTER written in that code?

A. GNPSFQ B. GNORFR C. EGOPRF D. FMORFP E. None of these

Q9. If in a certain Code SPEAKER is written as RQDBJFS , then how LISTENER written in that code ?

A. RJRUDODL B. SJRUOFDFM C. LRDSGDDS D. RKSTEOEL E. None of these

Directions (Q10 - Q12): Read the following information carefully to answer the questions that follow are Direction Sense.
Q10. A person starts from his home moves 15 m towards east and then turn 45’ towards its left and walk 15m. After that he moves towards west and stop at the point P after covering 15m. Determine the distance and direction of the point P from his house.

A. South east and 15 B. north east and 15 C. South west and 15 D. North west and 15 E. None of these

Q11. Ram and shyam are two friends talking with each other. The shadow of Ram falls on the right side of Shyam. If ram is facing north then the direction in which Shyam is facing.

A. South B. north C. east D. west E. None of these

Q12. A boy facing north turns 60’ in clockwise direction and then turns 150’ in anti clockwise. In which direction now he is facing.

A. North B. South C. east D. west E. None of these

Directions (Q13 - Q17): Study the following Seating Arrangements of information carefully to answer the given questions.
Ten Sports personalities are sitting in two parallel rows of six seats each. One seat is vacant in each row. Geeta Phogat, Sushil Kumar, Ravichandran Ashwin, Vijender Singh, and Sania Mirza are sitting in row-1 facing South. Sachin, M.S.Dhoni, P.V.Sindhu, Deepa Karmakar and Sakshi Malik are facing North. Each likes a different brand of laptops i.e. Lenovo, HP, Dell, Acer, Samsung, Apple, Sony, Asus, Toshiba, and HCL.
DeepaKarmakar sits third to the right of P.V.Sindhu and likes Acer. Only two people sit between M.S.Dhoni and the vacant seat. M.S.Dhoni does not like Samsung or Dell laptop. Sania Mirza is not an immediate neighbor of Ravichandran Ashwin. Sushil Kumar likes HCL. The one who likes Dell laptop faces the one who likes Asus. The one who likes Dell sits opposite to the one who sits third right of the person who sits opposite to Deepa Karmakar. Ravichandran Ashwin is not an immediate neighbor of Vijender Singh. Sakshi Malik, who likes neither Samsung nor Apple, does not face the vacant seat. Neither Deepa Karmakar nor P.V.Sindhu sit at any of the extreme ends of the row. Vijender Singh faces P.V.Sindhu. Vacant seats are not opposite to each other. Two seats are there between Ravichandran Ashwin and Sushil Kumar, who sits third right of the one who likes Sony. The one who likes Toshiba laptop faces the one who likes Acer. The persons who like the Lenovo and Asus are adjacent to each other. The vacant seat of row – 1 is not an immediate neighbor of Vijender Singh .M.S.Dhoni sits at one of the extreme ends of the row. P.V.Sindhu does not like Lenovo and Asus. The vacant seat of row-1 does not face Deepa Karmakar who doesn’t sit at any of the extreme ends of the row.
Q13. Who among the following likes Apple?

A. Sakshi B. Deepa Karmakar C. M.S.Dhoni D. Vijender Singh E. None of these

Q14. Four among the following form a group in a certain way. Which of the following does not belong to Group ?

A. Saniya Mirza, HCL B. Dell, Sachin C. Samsung, M.S.Dhoni D. Sushilkumar, Toshiba E. Sakshi, Acer

Q15. How many people will sit between Sachin and M.S.Dhoni?

A. One B. Two C. Three D. Four E. More than four

Q16. Which of the following is correctly matched?

A. Vijender – HCL B. P.V.Sindhu – Acer C. Sakshi – Sony D. Sachin – Samsung E. M.S.Dhoni – Toshiba

Q17. Which of the following brand Sakshi Malik likes?

A. HCL B. Acer C. Sony D. HP E. Toshiba

Directions (Q18 - Q20): Study the following Puzzles set of information carefully to answer the given questions.
Eight people Sneha, Savita, Soniya, Sarangi, Seeta, Sona, Samaira and Sajna went to an ice cream parlor to have ice cream of different flavors, vanilla, pista, strawberry, butterscotch, mint, mango, chocolate, and orange. They all like different colors. There are four boys and four girls.

• Sneha likes red and her brother likes pista ice cream. Sajna likes chocolate ice cream and his friend like mango.
• Seeta likes pista ice cream and neither he nor Soniya likes white, yellow, or black. The pink color is liked by a girl and the boy who liked vanilla doesn’t like green color. The one who likes blue eats mint ice cream. Sarangi likes magenta.
• Samaira doesn’t mango or orange ice cream but likes Yellow. Savita doesn’t like white. None of the girls like mango ice cream and none of the boys like strawberry.
• Also, the girl who likes orange ice cream doesn’t like magenta or red. Samaria’s brother Sona doesn’t like Mango ice cream and black color. Soniya doesn’t like blue, and Sneha doesn’t like Butterscotch.

Q18. If red is related to chocolate and Pink related to vanilla, what is mango related to?

A. Black B. Magenta C. Green D. White E. Pista

Q19. Who likes Butterscotch ice cream?

A. Sajna B. Soniya C. One who likes pink D. Samaira E. One who likes red

Q20. If these eight people sit in a line from right to left in the alphabetical order of their names, what will be the position of the person who likes strawberry ice cream ?

A. First from the right end B. Third from the left end C. First from the left end D. Cannot be determined E. Eight from the left end

Directions (Q21 - Q23): Each of these questions is based on the following information:
(i) A % B means A is the father of B. (ii) A @ B means B is the brother of A. (iii) A $ B means B is the sister of A. (iv) A * B means A is the son of B.
Q21. If the expression ‘P%M@Q*R$T’ is true, then which of the following is definitely true?

A. M is nephew of T B. Q is daughter of P C. M is son of R D. T is sister-in-law of P E. R is brother of P

Q22. Which of the following expression shows ‘N is sister in law of R’?

A. R$M*O%N@P B. M$N@O%P*R C. O%M*R$N@P D. M$N*O%P@R E. None of these

Q23. If the expression ‘E*G@F%H$D’ is true, then which of the following is not true?

A. D is niece of G B. E is cousin of D C. D is nephew of G D. F is father of H E. All are true

Directions (Q24 - Q28): Study the following information carefully and answer the given questions.
Amongst Six persons, N,R, T, K, X and P, each has different Age. P’s age is not an even number. N age is more than only X and P. K age is less than only one person. R age is 65 yr and T age is 49 yr. Youngest person age is 26.
Q24. Who among the following is youngest person?

A. X B. P C. K D. T E. R

Q25. What is possible age of K ?

A. 66yr B. 60yr C. 49yr D. 45yr E. None of these

Q26. If N’s age is 37yr than what may be the age of P?

A. 36 B. 38 C. 31 D. 26 E. Can’t be determined

Q27. Who among the following persons age more than X and less than K?

A. N B. T C. P D. both (B) or (C) E. None of these

Q28. Who among the following Person is third youngest person?

A. T B. R C. P D. N E. Either (C) or (D)

Directions (Q29 - Q32): Study the following Blood Relation information of carefully and answer the given questions.
Q29.If ‘A&B’ stands for ‘A is the son of B’ and ‘A*B’ stands for ‘B is the sister of A’, then which of the following represents ‘A is the aunt of B’?

A. B*C&A B. A*C&B C. B&C*A D. A&C*B E. C*B&A

Q30. A woman walking with a boy meets another woman and on being asked about her relationship with the boy, she says, “My maternal uncle and his maternal uncle’s maternal uncle are brothers.” How is the boy related to the woman?

A. Nephew B. Son C. Brother-in-law D. Grandson E. Son or Nephew

Q31. Pointing to a photograph, Sahil said, “She is the mother of my son’s wife’s daughter”. How is Sahil related to lady?

A. Son B. Uncle C. Father D. Father-in-law E. None of these

Q32. Pointing to a girl, Sagar said “She is the only daughter of my grandfather’s son”. How is the girl related to Sagar?

A. Daughter B. Sister C. Cousin Sister D. Data inadequate E. None of these

Directions (Q33 - Q36): Study the following Data Sufficiency information of carefully and answer the given questions.
Q33. What is the speed of the train whose length is 210m? I. The train crosses another train of 300m length running in the opposite direction in 10s II. The train crosses another train running in the same direction at the speed of 60kmph in the 30s.

A. If the data in statement I alone is sufficient to answer the question. B. If the data in statement II alone are sufficient to answer the question. C. If the data either in statement I alone or statement II alone are sufficient to answer the question. D. If the data given in both I and II together are not sufficient to answer the question. E. If the data in both the statements I and II together are necessary to answer the question.

Q34. What is the man’s speed in still water? I. The speed of the stream is one-third of the man’s speed in still water. II. In a given time, the man can swim twice as far with the stream as he can against it.

A. If the data in statement I alone is sufficient to answer the question. B. If the data in statement II alone are sufficient to answer the question. C. If the data either in statement I alone or statement II alone are sufficient to answer the question. D. If the data given in both I and II together are not sufficient to answer the question. E. If the data in both the statements I and II together are necessary to answer the question.

Q35. What is the ratio of male to female officers in the police force in town T? I. The number of female officers is 250 less than half the number of male officers. II. The number of female officers is 1/7 the number of male officers.

A. If the data in statement I alone is sufficient to answer the question. B. If the data in statement II alone are sufficient to answer the question. C. If the data either in statement I alone or statement II alone are sufficient to answer the question. D. If the data given in both I and II together are not sufficient to answer the question. E. If the data in both the statements I and II together are necessary to answer the question.

Q36. What is the rate of the Compound Interest? I. A certain amount invested at the compound interest rate amounts to Rs. 1331 II. The amount was invested for a period of three years.

A. If the data in statement I alone is sufficient to answer the question. B. If the data in statement II alone are sufficient to answer the question. C. If the data either in statement I alone or statement II alone are sufficient to answer the question. D. If the data given in both I and II together are not sufficient to answer the question. E. If the data in both the statements I and II together are necessary to answer the question.

Directions (Q37 - Q40): Study the following Inequality information of carefully and answer the given questions.
Q37. In Which of the following expressions does the expression ‘I≥D’ to definitely hold true?

A. K ≥ I ≤ R = P < S ≤ D B. U ≥ D ≥ M = F ≤ A ≥ I C. I ≥ C ≥ Q ≥ B = N ≥ D D. G ≥ I = A < B ≤ S ≤ D E. D ≥ E = G ≥ W = Y ≥ I

Q38. Which of the following symbols should be placed in the blank spaces respectively(in the same order from left to right) in order to complete the given expression in such a manner that both ‘O>N’ as well as ‘G≤M’ definitely holds true? M _ A _ N _ G _ O

A. >, ≥, <, = B. >, >, ≥, < C. ≥, ≥, ≥, ≤ D. ≥, =, ≥, < E. Other than those given as options

Q39. In Which of the following expressions does the expression ‘Z≥D’ to definitely hold true?

A. K ≥ Z ≤ R = P < S ≤ D B. U ≥ D ≥ M = F ≤ A ≥ Z C. Z ≥ C > Q ≥ B = N ≥ D D. G ≥ Z = A < B ≤ S ≤ D E. D ≥ E = G ≥ W = Y ≥ Z

Q40. Which of the following expressions is true if the expression PS>M≥A is definitely true?

A. A ≤ P B. S < P C. M > P D. A < B E. T ≤ M

Answers and Explanations
1. Answer - Option E
Explanation -

2. Answer - Option B
Explanation -

3. Answer - Option D
Explanation -

4. Answer - Option D
5. Answer - Option C
6. Answer - Option C
Explanation (4 - 6)-
The machine rearranges the numbers and words in such a manner that the numbers are arranged in each alternate step in ascending order while words are also arranged in each alternate step in alphabetical order. In each alternate step two numbers and two words are arranged.
Input: 57 19 professor male 28 correct 36 38 47 female doctor 51 study Step I: 19 28 57 professor male correct 36 38 47 female doctor 51 study Step II: 19 28 correct doctor 57 professor male 36 38 47 female 51 study Step III: 19 28 correct doctor 36 38 57 professor male 47 female 51 study Step IV: 19 28 correct doctor 36 38 female male 57 professor 47 51 study Step V: 19 28 correct doctor 36 38 female male 47 51 57 professor study Step VI: 19 28 correct doctor 36 38 female male 47 51 professor study 57
7. Answer - Option D
Explanation -
DIFFICULT =>WRUURFOG
Based on position from last D(4) in alphabetical order, W(4) from Z
EXTREME =>VCGIVNV
8. Answer - Option A
Explanation -
HEA DER => IDB CFQ
FOO TER => GNP SFQ
9. Answer - Option A
Explanation -
SPEAKER => R Q D B JF S
First and last letter interchanged then +1, -1, +1, -1.....
LISTENER=> RJRUDODL
10. Answer - Option B
Explanation -

11. Answer - Option A
Explanation -

12. Answer - Option D
Explanation -

13. Answer - Option C
14. Answer - Option E
15. Answer - Option A
16. Answer - Option D
17. Answer - Option D
Explanation -

18. Answer - Option C
19. Answer - Option D
Explanation (18 - 19)-

20. Answer - Option B
Explanation -
Soniya (-) Sona, (+) Sneha (-) Seeta (+) Savita (-) Sarangi (+) Samaira (-) Sajna (+)
21. Answer - Option D
Explanation -

22. Answer - Option B
Explanation -

23. Answer - Option C
Explanation -

24. Answer - Option A
Explanation -
R[65] > K > T[49] > N > P > X[26]
25. Answer - Option
Explanation -
R[65] > K > T[49] > N > P > X[26]
26. Answer - Option B
Explanation -
R[65] > K > T[49] > N > P > X[26]
27. Answer - Option C
Explanation -
R[65] > K > T[49] > N > P > X[26]
28. Answer - Option E
Explanation -
R[65] > K > T[49] > N > P > X[26]
29. Answer - Option C
Explanation -
Check each option, no need to check option D because in D A becomes a male
In C option – B is son of C and C sister of A
30. Answer - Option E
Explanation -
This says that woman’s mother has 2 brothers. And they are women’s maternal uncle.
The boy can be son too and son of woman’s brother too.
31. Answer - Option D
Explanation -
My son’s wife’s daughter will be my granddaughter, and my granddaughter’s mother will be my daughter-in-law. So I m father-in-law of lady.
32. Answer - Option D
Explanation -
Can be sister or cousin sister, because it is not known that how many sons does Sagar’s grandfather have.
33. Answer - Option E
Explanation -
L1 = 210m(Given)
From Statement I, L2 = 300m
L1 + L2 = 210m + 300m = 510m
S1 + S2 = ([latex]\frac{D}{T}[/latex]) = [latex]\frac{510}{10}[/latex] = 51m/s
From Statement II,
S2 = 60kmph = 60 * ([latex]\frac{5}{18}[/latex]) = [latex]\frac{50}{3}[/latex] m/s
S1 – S2 = [latex]\frac{510}{30}[/latex] = [latex]\frac{51}{3}[/latex] => S1 - [latex]\frac{51}{3}[/latex] = [latex]\frac{51}{3}[/latex]
S1 = [latex]\frac{101}{3}[/latex] m/s
34. Answer - Option D
Explanation -
From Statement I, Speed of stream = [latex]\frac{1}{3}[/latex] * Man’s speed = Man’s speed = 3 * Speed of stream
From Statement II, Man’s speed = 2 * Speed of stream
35. Answer - Option B
Explanation -
From Statement I,
Number of male officers = x
Number of female officers = [latex]\frac{x}{2}[/latex] – 250
Ratio can’t be calculated from Statement I.
From Statement II,
Number of male officers = x
Number of female officers = x * [latex]\frac{1}{7}[/latex]
Ratio = [latex]\frac{x}{\frac{x}{7}}[/latex] = 7:1
36. Answer - Option D
Explanation -
Principal is not given, We can not find the rate of CI from both statements.
37. Answer - Option C
Explanation -
I ≥ C ≥ Q ≥ B = N ≥ D
38. Answer - Option D
Explanation -
≥, =, ≥, <
39. Answer - Option C
Explanation -
Z ≥ C > Q ≥ B = N ≥ D
40. Answer - Option D
Explanation -
A < B

Directions (Q1 - Q2): Study the following information and answer the questions that follow:
The Table given below shows the percentage of valid voters in 5 villages in two years 2001 and 2005. Study the graph carefully to answer the based questions.
NOTE - Total voters in any year = Valid voters + Invalid voters

Q1. What is the difference between invalid voters of village C in the two given years if valid voters in 2005 in that village are 4000 and the ratio of valid voters of village C in 2001 to 2005 is 19: 25?

A. 1190 B. 1250 C. 1290 D. 1350 E. 1365

Q2. If in village A in 2005, 2500 voters were declared invalid voters 10% of valid voters opted NOTA and the winner got 200 more votes than losing candidate, then find the total vote that losing candidate got in 2005 in village A.

A. 4400 B. 4600 C. 5400 D. 5200 E. 4800

Q3. In how many different ways can the letters of the word "COMPLAINT" be arranged in such a way that the vowels occupy only the odd positions?

A. 1440 B. 43200 C. 1440 D. 5420 E. None of these

Q4. In how many different ways can the letters of the word "CANDIDATE" be arranged in such a way that the vowels always come together?

A. 4320 B. 1440 C. 720 D. 840 E. None of these

Q5. 5/9 of 504 + 3/8 of 640 = ?

A. 620 B. 550 C. 520 D. 480 E. 460

Q6. 4900 ÷ 28 * 444 ÷ 12 = ?

A. 6312 B. 6223 C. 6475 D. 6217 E. 6421

Q7. Section A and section B of 7th class in a school contains total 285 students. Which of the following can be a ratio of the ratio of the number of boys and number of girls in the class?

A. 6 : 5 B. 10 : 9 C. 11 : 9 D. 13 : 12 E. Cannot be determined

Q8. There are 50 students in a hostel. Now the number of students got increased by 8. Due to this the expenses of the mess increased by 30 rupees per day while the average expenditure is decreased by 2 rupees. Find the original expenditure.

A. 812.5 rupees B. 912.5 rupees C. 1012.5 rupees D. 1112.5 rupees E. None of these

Q9. The sum of 3 consecutive even number is 40 more than the average of these numbers. Which of the following is the 2nd largest number ?

A. 18 B. 20 C. 22 D. 24 E. None of these

Q10. What is the least number that can be added to 7218 make it a perfect square ?

A. 7 B. 5 C. 6 D. 4 E. None of these

Q11. A toy is sold for Rs.336, if the % of profit is equal to cost price, then find CP ?

A. 137 B. 140 C. 135 D. 120 E. None of these

Q12. A bought ‘X’ quantity of pencils for Rs.500 and he sold 2/5 part for 5% loss and at which percent he must sell his rest of the quantity so that he would gain overall 10% profit ?

A. 10% B. 20% C. 17% D. 15% E. None of these

Q13. Dinesh does 80% of a work in 20 days. He then calls in Gokul and theytogether finish the remaining work in 3 days. How long Gokul alone would take to do the whole work?

A. 39 days B. 37 days C. 37 [latex]\frac{1}{2}[/latex] days D. 40 days E. 39 [latex]\frac{1}{2}[/latex] days

Q14. Hari and Vijay can together finish a work in 30 days. They worked together for 20 days and then Vijay left. After another 20 days, hari finished the remaining work. In how many days hari alone can finish the work?

A. 45 B. 60 C. 35 D. 50 E. 65

Q15. A thief is spotted by a policeman from a distance of 200 metre. When the policeman starts chasing , the thief also starts running. If the speed of the thief be 16kmph and that of policeman be 20kmph, how far the thief will have run before he is overtaken?

A. 800 m B. 700 m C. 650 m D. 750 m E. None of these

Q16. A bus travels at the rate of 54 kmph without stoppages and it travels at 45 kmph with stoppages. How many minutes does the bus stop on an average per hour?

A. 8 minutes B. 6 minutes C. 10 minutes D. 4 minutes E. None of these

Q17. Vithya gave Rs.20000/- to Priya for 5 years and Rs.30000/- to Vijay for 2 years. If the rate of interests is the same and she received Rs.12800- as SI from both. What is the rate of interest?

A. 8% B. 7% C. 9% D. 11% E. None of these

Q18. The difference between CI and SI on the same sum for 2 yrs at the rate of 25% pa is Rs.1500. What is the principal lent out in each case ?

A. Rs.18000 B. Rs.21000 C. Rs.23000 D. Rs.24000 E. None of these

Q19. What should come at the place of question mark (?) in the following number series? 509, 68, 429, 140, 365, ?

A. 194 B. 192 C. 196 D. 195 E. 197

Q20. What should come at the place of question mark (?) in the following number series? 2√3, 2√5, √30, √42, 2√14, ?

A. 6√2 B. √60 C. 5√3 D. 3√5 E. √50

Q21. In a 70 litres mixture of milk and water, % of water is 30%. The milkman gave 20 litres of this mixture to a customer and then added 20 litres of water to the remaining mixture. What is the % of milk in the final mixture ?

A. 48% B. 50% C. 40% D. 53% E. None of these

Q22. Rani mixes 70kg of sugar worth Rs.28.50 per kg with 100kg of sugar worth Rs.30.50 per kg. At what rate shall he sell the mixture to gain 10% ?

A. Rs.32.64 B. Rs.31.50 C. Rs.30.46 D. Rs.29.75 E. None of these

Q23. The greatest possible length which can be used to measure exactly the lengths 1m 92cm,3m 84cm ,23m 4cm

A. 23 B. 32 C. 36 D. 34 E. None of these

Q24. The HCF of 2511 and 3402 is

A. 31 B. 42 C. 76 D. 81 E. None of these

Q25. I. 3p[latex]^{2}[/latex] + 15p = -18 II. q[latex]^{2}[/latex] + 7q + 12 = 0

A. if P is greater than q. B. if p is smaller than q. C. if p is equal to q. D. if p is either equal to or greater than q. E. if p is either equal to or smaller than q.

Q26. I. 3x[latex]^{2}[/latex] + 16x + 21 = 0 II. 6y[latex]^{2}[/latex] + 17y + 12 = 0

A. if x < y B. if x ≤ y C. relationship between x and y cannot be determined D. if x ≥ y E. if x > y

Q27. 84, 72, 66, ?, 68.17

A. 65 B. 60 C. 67 D. 76 E. None of these

Q28. 110, ?, 42, 20, 6

A. 63 B. 81 C. 72 D. 90 E. None of these

Q29. 35% of √3136 x 5 = ? + 54

A. 46 B. 48 C. 44 D. 42 E. None of these

Q30. 90% of 700 + 50% of 1000 – 170 = ?

A. 950 B. 930 C. 960 D. 970 E. None of these

Q31. A said to B – seven years ago I was seven times as old as you were and three year hence I will be three times as old as you will be. The ages of A and B

A. 52, 12 B. 42, 12 C. 32, 12 D. 54, 14 E. None of these

Q32. The ratio of the ages of priya and riya is 2:5. After 8 years, their ages will be in the ratio of 2:3. Then the sum of their present ages

A. 12 years B. 14 years C. 16 years D. 18 years E. None of these

Q33. The average weight of 40 students in a class is 75 kg. By mistake the weights of two students are read as 74 kg and 66 kg respectively instead of 66 kg and 54 kg. Find the corrected average weight of the class

A. 73.50 kg B. 74.50 kg C. 75.50 kg D. 76.50 kg E. None of these

Q34. The average weight of 40 balls is 5 grams. When the weight of the basket is added to the weight of balls, the average increased by 0.5 grams. Find the weight of the basket.

A. 20.5 gm B. 22.5 gm C. 25.5 gm D. 28.5 gm E. None of these

Q35. A deer and a rabbit can complete a full round on a circular track in 9 minutes and 5 minutes respectively. P, Q, R and S are the four consecutive points on the circular track which are equidistant from each other. P is opposite to R and Q is opposite to S. After how many minutes will they meet together for the first time at the starting point, when both have started simultaneously from the same point in same direction?

A. 15 minutes B. 25 minutes C. 35 minutes D. 45 minutes E. None of these

Q36. A well with 28 m inside diameter is dug out 18 m deep. The earth taken out of it has been evenly spread all around it to a width of 21 m to form an embarkment. Find the height of the embarkment.

A. 3 m B. 8 m C. 9 m D. 6 m E. None of these

Q37. A dealer sells a goat for rupees 600 and there by gains 20 percent. He sells another goat at 5 percent loss and on the whole there is no loss no profit. Find the cost price of the second goat

A. 1000 B. 2000 C. 3000 D. 4000 E. None of these

Q38. A toys manufacturing company declares 20 percent discount for whole sale buyers. A trader bought toys for rupees 4000 after getting the discount. Now he sells the toys at 15 percent profit on the original price of the company. What is the selling price of the toys?

A. 4750 B. 5740 C. 5750 D. 6750 E. None of these

Q39. 19, 23, 14, 30, 5, ?

A. 45 B. 41 C. 51 D. 35 E. None of these

Q40. 12, 8, 16, 48, 184, ?

A. 560 B. 420 C. 860 D. 550 E. None of these

Answers and Explanations
1. Answer - Option C
Explanation -
Invalid voter of village C in 2005 = 4000 * [latex]\frac{36}{64}[/latex] = 2250
Valid voter of village C in 2001 = 4000 * [latex]\frac{19}{25}[/latex] = 3040
Now, invalid voter of village C in 2001 = 3040 * [latex]\frac{24}{76}[/latex] = 960
∴Required diff. = 2250 – 960 = 1290
2. Answer - Option A
Explanation -
Total valid votes of village A in 2005 = 2500 * [latex]\frac{100}{20}[/latex] * [latex]\frac{80}{100}[/latex] = 10000
Total valid votes excluding Nota in village A in 2005 = 10000 * [latex]\frac{90}{100}[/latex] = 9000
∴According to question,
x + (x + 200) = 9000
--> x = 4400
Required no. of votes of losing candidates = 4400
3. Answer - Option B
Explanation -
There are 9 different letters in the given word "COMPLAINT", out of which there are 3 vowels and 6 consonants.
Let us mark these positions as under:
[1] [2] [3] [4] [5] [6] [7] [8] [9]
Now, 3 vowels can be placed at any of the three places out of 5 marked 1, 3, 5, 7 and 9.
Number of ways of arranging the vowels = 5P3 = 5x4x3 = 60 ways.
Also, the 6 consonants at the remaining positions may be arranged in 6P6 ways = 6! ways = 720 ways.
Therefore, required number of ways = 60 x 720 = 43200 ways.
4. Answer - Option A
Explanation -
There are 9 letters in the given word, out of which 4 are vowels.
In the word "CANDIDATE" we treat the vowels "AIAE" as one letter.
Thus, we have CNDDT(AIAE).
Now, we have to arrange 6 letters, out of which D occurs twice.
Therefore, number of ways of arranging these letters = [latex]\frac{6!}{2!}[/latex] = [latex]\frac{720}{2}[/latex] = 360 ways.
Now, AIAE has 4 letters, in which A occurs 2 times and the rest are different.
Number of ways of arranging these letters = [latex]\frac{4!}{2!}[/latex] = [latex]\frac{1 * 2 * 3 * 4}{2}[/latex] = 12
Therefore, required number of words = (360 x 12) = 4320.
5. Answer - Option C
Explanation -
[latex]\frac{5}{9}[/latex] of 504 = 280 ; [latex]\frac{3}{8}[/latex] of 640 = 240 => 280 + 240 = 520
6. Answer - Option C
Explanation -
4900 ÷ 28 = 175
444 ÷ 12 = 37
175 * 37 = 6475
7. Answer - Option B
Explanation -
The number of boys and girls cannot be in decimal values, so the denominator should completely divide number of students (285).
Check each option:
6 + 5 = 11, and 11 does not divide 285 completely.
10 + 9 = 19, and only 19 divides 285 completely among all.
8. Answer - Option B
Explanation -
Let initial expenditure is E per day. Now it is increased by 30 rupees per day,
Initial students = 50 and now they are 58,
[latex]\frac{E}{50}[/latex] – [latex]\frac{(E + 30)}{58}[/latex] = 2
Solve for E, We will get E = 912.5 rupee.
9. Answer - Option B
Explanation - [latex]\frac{(x + x + 2 + x + 4)}{3}[/latex]
X + x + 2 + x + 4 = 40 + [latex]\frac{(x + x + 2 + x + 4)}{3}[/latex]
3x + 6 = 40 + [latex]\frac{(3x+6)}{3}[/latex]
[latex]\frac{(9x + 18 – 3x - 6)}{3}[/latex] = 40
6x + 12 = 120
X = [latex]\frac{108}{6}[/latex] = 18
18 + 2 = 20
10. Answer - Option A
Explanation -
85 * 85 = 7225
11. Answer - Option B
Explanation -
(100 + x)% of X = 336
100x + x[latex]^{2}[/latex] = 33600
x[latex]^{2}[/latex] + 100x – 33600 = 0
(x + 240x)(x - 140x) = 0
X = 140
12. Answer - Option B
Explanation -
500 * [latex]\frac{2}{5}[/latex] = 200
5%L = 200 * [latex]\frac{95}{100}[/latex] = 190
500 + 10 + ([latex]\frac{500 * 10}{100}[/latex]) = 510 + 50 = 560
[latex]\frac{60}{500}[/latex] * 100 = 20%
13. Answer - Option C
Explanation -
Dinesh work done = 20 * [latex]\frac{5}{4}[/latex] = 25 days
[latex]\frac{1}{5}[/latex] workdone by Dinesh and gokul in 3days.
Whole work done = 15 days
Dinesh 1 days work = [latex]\frac{1}{25}[/latex]
Dinesh and gokul’s 1 day work = [latex]\frac{1}{15}[/latex]
Gokul’s 1 day work = [latex]\frac{1}{15}[/latex] – [latex]\frac{1}{25}[/latex] = [latex]\frac{2}{75}[/latex]
Gokul alone in [latex]\frac{75}{2}[/latex] days or 37 [latex]\frac{1}{2}[/latex] days.
14. Answer - Option B
Explanation -
Hari + vijay 20 days work = [latex]\frac{1}{30}[/latex] * 20 = [latex]\frac{2}{3}[/latex]
Remaining work = [latex]\frac{1}{3}[/latex]
[latex]\frac{1}{3}[/latex] work in 20 days so whole work in 60 days.
15. Answer - Option A
Explanation -
d = 200 m, a = 16kmph = [latex]\frac{40}{9}[/latex] m/s, b = 20kmph = [latex]\frac{50}{9}[/latex] m/s
Required Distance D = d * ([latex]\frac{a}{b-a}[/latex])b= 200 * ([latex]\frac{40}{9}[/latex] * [latex]\frac{9}{10}[/latex]) = 800m
16. Answer - Option C
Explanation -
Due to stoppages, the bus can cover 9 km less per hour[54 - 45 = 9] Time taken to cover 9 km = ([latex]\frac{9}{54}[/latex]) x 60 = 10 minutes.
17. Answer - Option A
Explanation -
20000 * 5 * [latex]\frac{R}{100}[/latex] + 30000 * 2 * [latex]\frac{R}{100}[/latex] = 12800
1600R = 12800
R = [latex]\frac{12800}{1600}[/latex] = 8
18. Answer - Option D
Explanation -
P[latex](\frac{r}{100})^{2}[/latex] = 1500
P[latex](\frac{25}{100})^{2}[/latex] = 1500
P * [latex]\frac{1}{16}[/latex] = 1500
P = 1500 * 16 = 24000
19. Answer - Option C
Explanation -

20. Answer - Option E
Explanation -

21. Answer - Option B
Explanation -
20litre given remaining = 70 - 20 = 50litre
Quantity of milk = 50 * [latex]\frac{70}{100}[/latex] = 35litre
Quantity of water = 50 - 35 = 15litre
20litres of water added = 50 + 20 = 70
% of milk = 35 * [latex]\frac{100}{70}[/latex] = 50%
22. Answer - Option A
Explanation -
[latex]\frac{70}{100}[/latex] = 100x – [latex]\frac{30.50(110)}{28.50(110)}[/latex] - 100x
0.7 = 100x - [latex]\frac{3355}{3135}[/latex] - 100x
2194.5 – 70x = 100x - 3355
170x = 5549.5
X = 32.64
23. Answer - Option B
Explanation -
192 = 4 × 2 × 2 × 2 × 3
384 = 4 × 2 × 2 × 2 × 6
2304 = 4 × 2 × 2 × 6 × 2
HCF = 4 × 2 × 2 = 16 × 2 = 32
24. Answer - Option D
Explanation -
2511 = 81 × 31
3402 = 81 × 42
Hence HCF is 81
25. Answer - Option D
Explanation -
I. 3p[latex]^{2}[/latex] + 15p = -18
[latex] \rightarrow[/latex] p[latex]^{2}[/latex] + 5p + 6 =0
[latex] \rightarrow[/latex] p = -2, -3
II. q[latex]^{2}[/latex] + 7q + 12 = 0
[latex] \rightarrow[/latex] (q + 3) (q + 4) = 0
[latex] \rightarrow[/latex] q = -3, -4
26. Answer - Option A
Explanation -
I. 3x[latex]^{2}[/latex] + 16x + 21 = 0
[latex] \rightarrow[/latex] 3x[latex]^{2}[/latex] + 9x + 7x + 21 = 0
[latex] \rightarrow[/latex] (x + 3) (3x + 7) = 0
[latex] \rightarrow[/latex] x = -3, -[latex]\frac{7}{3}[/latex]
II. 6y[latex]^{2}[/latex] + 17y + 12 = 0
[latex] \rightarrow[/latex] 6y[latex]^{2}[/latex] + 9y + 8y + 12 = 0
[latex] \rightarrow[/latex] 3y (2y + 3) + 4 (2y + 3) = 0
[latex] \rightarrow[/latex] y = -[latex]\frac{3}{2}[/latex], -[latex]\frac{4}{3}[/latex]
27. Answer - Option A
Explanation -
[latex]\frac{84}{1.2}[/latex] = 70 + 2 = 72
[latex]\frac{72}{1.2}[/latex] = 60 + 6 = 66
[latex]\frac{66}{1.2}[/latex] = 55 + 10 = 65
[latex]\frac{65}{1.2}[/latex] = 54.17 + 14 = 68.17
28. Answer - Option C
Explanation -
11[latex]^{2}[/latex] – 11 = 110
9[latex]^{2}[/latex] – 9 = 72
7[latex]^{2}[/latex] – 7 = 42
5[latex]^{2}[/latex] – 5 = 20
3[latex]^{2}[/latex] – 3 = 6
29. Answer - Option C
Explanation -
([latex]\frac{65}{100}[/latex]) * 56 * 5 = ? + 54
98 – 54 = 44
30. Answer - Option C
Explanation -
= (700 * ([latex]\frac{90}{100}[/latex]) + 1000 * ([latex]\frac{50}{100}[/latex])) – 170
= 630 + 500 – 170 = 960
31. Answer - Option B
Explanation -
A – 7 = 7 * (B – 7)....(1)
A + 3 = 3 * (B + 3)....(2)
Solve both equations to get A and B
32. Answer - Option B
Explanation -
Let priya age = 2x and riya age = 5x.
So, [latex]\frac{(2x + 8)}{(5x + 8)}[/latex] = [latex]\frac{2}{3}[/latex], we get x = 2. So sum of priya and riya = 14
33. Answer - Option B
Explanation -
Weight of 40 students = 40 * 75
new weight = 40*75 – 74 – 66 + 66 + 54 = 40*75 – 20
so new average = [latex]\frac{(40*75 – 20)}{40}[/latex] = 74.50 kg
34. Answer - Option C
Explanation -
[latex]\frac{(40*5 + B)}{41}[/latex] = 5.5 (B is the weight of basket)
35. Answer - Option D
Explanation -
Time taken by a deer to complete one round = 9 minutes
Time taken by a rabbit to complete one round = 5 minutes
They meet together for the first time at the starting point = LCM of 9 and 5 = 45 minutes.
36. Answer - Option A
Explanation -
[latex]\frac{22}{7}[/latex][(R[latex]^{2}[/latex]) – (r[latex]^{2}[/latex])] * h = [latex]\frac{22}{7}[/latex](7 * 7 * 18)
[(35[latex]^{2}[/latex]) – (7[latex]^{2}[/latex])]h = 14 * 14 * 18
(42 * 28)h = 14 * 14 * 18
h = 3 m
37. Answer - Option B
Explanation -
600 = ([latex]\frac{120}{100}[/latex]) * cp
so cp of first goat = 500. So in the first deal he gains 100 rupees.
But on selling second horse he losses 5 percent, means ([latex]\frac{5}{100}[/latex]) * CP = 100
So cp of second goat = 2000
38. Answer - Option C
Explanation -
Let original price of toys be M,
([latex]\frac{80}{100}[/latex]) * M = 4000, M = 5000
Now to gain 15% on the original price, the trader will
sell the toys at ([latex]\frac{115}{100}[/latex]) * 5000 = 5750 rupees
39. Answer - Option B
Explanation -
19 + 2[latex]^{2}[/latex] = 23
23 – 3[latex]^{2}[/latex] = 14
14 + 4[latex]^{2}[/latex] = 30....
40. Answer - Option C
Explanation -
12 * 0.5 + 2 = 8
8 * 1.5 + 4 = 16
16 * 2.5 + 8 = 48....