Tuesday, May 15, 2012

Quantitative Aptitude for Bak Exams

Directions (Q. 1-9): What should come in place of question mark (?) in the following questions?

1. -84 x 29 + 365 = ?
   
(1) 2436    

(2) 2801    

(3) 2801
   
(4) 2071    

(5) None of these

2. (21.69)2 - √324 =?
(1) 440.4615    

(2) 425.4561    

(3) 452.4561

(4) 442.4651    

(5) None ofthese

3. (800 ÷ 64) x (1296 ÷ 36) = ?

(1) 420    

(2) 460    

(3) 500

(4) 540    

(5) None of these

4. (42 x 229)÷(9261)1⁄3 =?

(1) 452    

(2) 448    

(3) 458

(4) 456    

(5) None of these

5. (35423 +7104 +41720)-(317 x 89)=?

(1) 28213    

(2) 84307    

(3) 50694

(4) 54096    

(5) None of these

6. (9% of 386) x (6.5% of 144) = ?

(1) 340.1664    

(2) 325.1664    

(3) 333.3333
   
(4) 328.0065    

(5) None of these

7 . 4+4.44+44.4+4.04+444=?
(1) 500.88    

(2) 577.2    

(3) 495.22

(4) 472.88    

(5) None of these

8. 3√? = (36x24)÷9

(1) 884736    

(2) 804036    

(3) 854734

(4) 814736    

(5) None of these

9. (43% of 2750)- (38% of 2990) = ?

(1) 49.3    

(2) 44.7    

(3) 43.6

(4) 46.3    

(5) None of these

Directions (Q. 10-13): What should come in place of question.mark (?) in the following number series?

10. 13 14 30 93 376 1885 ?

(1) 10818    

(2) 10316

(3) 11316

(4) 11318    

(5) None of these

11. 4 6 9 13.5 20.25 30.375.?

(1) 40.25    

(2) 45.5625    

(3) 42.7525

(4) 48.5625    

(5) None ofthese

12. 400  240  144  86.4  51. 84  31.1 04 ?

(1) 19.2466    

(2) 17.2244    

(3) 16.8824

(4) 18.6624    

(5) None of these

13. 9 4.5 4.5 6.75 13.5 33.75 ?

(1) 101.25    

(2) 103.75    

(3) 99.75

(4) 105.50    

(5) None of these

14. The profit earned after selling an article for Rs 625 is the same as the loss incurred after seIling the article for Rs 435. What is the cost price ofthe article?

(1) Rs 530    

(2) Rs 520    

(3) Rs 540

(4) Rs 550    

(5) None of these

15. A sum of Rs 817 is divided among A, Band C such that 'A' receives 25% more than 'B' and 'B' receives 25% less than 'C'. What is A's share in the amount?

(1) Rs228

(2) Rs247

(3) Rs285

(4) Rs 304    

(5) None of these

16. Ms Sujata invests 7% ie Rs 2170, of her monthly salary in mutual funds. Later she invests 18% of her monthly salary in recurring deposits. Also, she invests 6% of her salary on NSC's. What is the total annual amount in- vested by Ms Sujata? .
(1) Rs 1,25,320

(2) Rs 1,13,520    

(3) Rs,I,35,120

(4) Rs 1,15,320    

(5) None of these

17. What is 30% of 40% of 2/5 2500?
(1) 500    

(2) 400    

(3) 360

(4) 120    

(5) None of these

18. A, B, C and D are four consecutive even numbers respectively and their average is 65. What is the product of A and D?

(1) 3968    

(2) 4216    

(3) 4092

(4) 4352    

(5) None of these

19. The sum offive numbers is 555. The average of the first two numbers is 75 and the third number is liS. What is the average of the last two numbers?

(1) 145    

(2) 290    

(3) 265

(4) 150    

(5) None of these

20. A car covers the first 35 km of its journey in 45 minutes and the remaining 69 km in 75 minutes. What is the average speed of the car?

(1) 42 kmlhr    

(2) 50 km/hr    

(3) 52 kmlhr

(4) 60 km/hr    

(5) None of these

21. In how many different ways can the letters of the word 'PRIDE' be arranged?
   
(1) 60    

(2) 120    

(3) 15

(4) 360    

(5) None of these

22. The ages of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their ages will be II : 18. What is the difference in years between their ages? (1) 24 years

(2) 21 years.

(3) 20 years

(4)  33 years

(5)  None of these

Directions (Q. 23-27): What approximate value should come in place of the question mark (?) in the following questions?
23. 724.998+24.048+ 14.954=?    
(1) 8   
(2) 13   
(3) 2   
(4) 10   
(5) 16
24. (848.999+274.052)÷ 3.0054=?    
(1) 940   
(2) 836   
(3) 184   
(4)298   
(5)374
25.  3√184900 =?            
(1) 56   
(2) 44   
(3) 67   
(4) 33   
(5) 21
26. 18.5% of 425 + 16.2% of 388 =?    
(1) 141   
(2) 224   
(3) 116   
(4) 183   
(5) 215

27. 18.345 x 19.068 x ? = 11538.93375    
(1) 46    

(2) 61    

(3) 27    

(4) 33    

(5) 55


Directions (Q. 28-32): In the following number series only one number is wrong. Find out the wrong number. "

28. 529 841 961 1296 1681 1849 2209


(1) 1296        

(2) 841     

(3) 961

(4) 1681        

(5) None ofthese

29. 13   14  27  45  68  109   177
   
(1) 27        

(2) 109        

(3) 45

(4) 68        

(5) None of these

30. 14 22 34.5 55.5 87.25 13.875 209.125
   
(1) 55.5    

(2) 34.5    

(3) 135.875

(4) 87.25    

(5) None of these

31. 274 301 426 769 1498 2824 5026

(1) 301    

(2) 426    

(3) 79
   
(4) 2824    

(5) None of these

32. 4  28  160   990   6970   55832   502560


(1) 160    

(2) 990    

(3) 55832

(4) 6970    

(5) None of these

Directions (Q. 33-37): What s Would come in place of the question mark (?) in the following questions?

33. 89.4 x 412.8 x 648.1 =16?

(1) 41.8    

(2) 16.2    

(3) 18.4

(4) 25.6    

(5) None of these

34. 12% of 840 x 0.25% of 148 =?

(1) 37.296

(2) 101.17    

(3) 68.432

(4) 97.046.    

(5) None of these

35. A shopkeeper sells 200 metres of cloth for Rs 9,000 at a profit of Rs 5 per metre. What is the cost price of 1 metre of cloth?
(1) Rs45    

(2) Rs40    

(3) Rs35

(4) Rs30    

(5) None of these

36. the area of a circle is.1386 sq cm. What is the circumfer- ence of the circle?

(1) 142cm    

(2) 160cm    

(3) 130cm

(4) 132 cm    

(5) None of these

37. In a college a total number of 27 professors are appointed for all the faculties; viz Arts, Commerce and Science. If , equal number of professors are appointed for each of the faculties, how many professors are assigned to each faculty?

(1) 9    

(2) 12    

(3) 6

(4) 3    

(5) None of these     

38. Sridhar invests Rs 3,750 in shares, which is 25% of his monthly income. What is his monthly income?
(1) Rs 12,000    

(2) Rs 15,000    

(3) Rs 10,000

(4) Rs 16,000    

(5) None of these

39. Find the average of the following setof scores.

302, 152, 132, 122, 112
   
(1) 184        

(2) 165    

(3) 152

(4) 176        

(5) None of these

40. A bus covers a distance of 172 kms in 4 hours. What is the speed of the bus?
(1) 52km1hr    

(2) 47km1hr    

(3) 43km1hr

(4) 38 kmIhr    

(5) None of these

41. The total number of students in a school is 4800, out of which 60% are girls. What is the total number of boys in this school?


(1) 1920    

(2) 1934    

(3) 1980

(4) 1910    

(5) None of these

Directions (Q. 42-43): Each question below is followed by two statements A and B. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

Give answer (1) if the statement A alone is sufficient to answer the question, but the statementit alone  not sufficient

Give answer 2) if the statement C alone is sufficien, to an we: the question, but the statement A alone is not sufficient.

Give answer 3) ifboth statements A and B together are needed to answer the question.

Give answer 4) if either the statementAalone or the statement B ,alone IS sufficient to-answer the question.

Give answer 5) if you cannot get the answer from the statements A and B together, but need even more data.

42. How many women can complete a piece of work in 15 days?

A . 12 women can complete the same piece of work in 20 days.

B. 10 men can complete rhe same piece of work in 12 days.
43. What is the rate of interest p.c.p.a. on an amount of Rs 12,000/- deposited in a bank?
A. The difference between the simple interest and the compound interest is Rs 172.80.
B. The simple interest for two years is Rs2,880.
Directions (Q. 44-48): What approximate value should come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)
44. (4576+3286+5639)÷(712+415+212)=?

(1) 18    

(2) 22    

(3) 34

(4) 10    

(5) 46

45.  675.456+ 12.492 x 55.671 =?

(1) 971    

(2) 1071    

(3) 1171

(4) 1271

(5) 1371

46. (447.22) 2=?

(1) 200000    

(2) 210000    

(3) 220000
   
(4) 230000    

(5) 240000

47. 4374562 x 64 = ? x 7777
(1) 360    

(2) 3600    

(3) 36000

(4) 360000    

(5) 3600000

48. (872% of 659) ÷ 543 = ?

(1) 17    

(2) 11    

(3) 21
   
(4) 27    

(5) 31

Directions (Q. 49-53): What should come in place of question mark (?) in the following number series?

49. 5 9 18 34 59 95 ?


(1) 272    

(2) 168    

(3) 116

(4) 148    

(5) 144

50. 1200 480 192 76.8 30.72 12.288 ?

(1) 4.9152    

(2) 5.8192    

(3) 6.7112

(4) 7.6132    

(5) 8.5172

51. 963 927 855 747 603 423  ?

(1) 209

(2) 208    

(3) 207

(4) 206    

(5) 205

52. 841 .961 1089 1225 1369 1521. ?

(1) 1581            

(2) 1681        

(3) 1781

(4) 1881            

(5) 1981

53. 18  20  44  138  560  2810 ?

(1) 16818        

(2) 16836        

(3) 16854
   
(4) 16872         

(5) 16890

Directions (Q. 54-58): What should come in place of question mark (?) in the following questions? 

54. 74+.12x0.75-6 =?

   
(1)
72    

(2)
67    

(3) 62

(4) 77    

(5) None of these

55. 8888 + 848 + 88 - ? = 7337 + 737

(1) 1750    

(2) 1650    

(3) 1550

(4) 1450    

(5) None of these

56. 515.15-15.51-1.51-5.11-1.11=?

(1) 491.91

(2) 419.91    

(3) 499.19

(4) 411.19    

(5) None of these

57. (?) 2 + (123) 2 = (246)  2 - (99)  2 - 2462

(1) 184    

(2) 186     

(3) 182

(4) 180    

(5) None of these

58. 414 x? x7=127512

(1) 36    

(2) 40    

(3) 44

(4) 48    

(5) None of these

59. [(84) 2 ÷28 x 12]÷24 =7 x ?

(1) 15    

(2) 17    

(3) 19

(4) 21    

(5) None of these
Directions (Q. 60-65): What approximate value should come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.
60. 561204 x 58 =? x 55555
(1) 606
(2) 646  
(3) 556
(4) 716 5)586
61. 459.008 + 3.0056 x 88.862 =?
(1) 738
(2) 725  
(3) 695
(4) 752
(5) 666
62. (444%of531)÷972 =? 
(1) 4.5
(2) 0.5  
(3) 2.5   
(4) 8.5 5)6.5
63. (9321 +5406+ 1001)÷(498+929+660)=?
(1) 13.5
(2) 4.5  
(3) 16.5
(4) 7.5
(5) 10.5
64. 9654 /21 +7638 / 44 =?
   
(1) 633    

(2) 600    

(3) 643

(4) 621    

(5) 598
65. (621.52)2=?
(1) 386300
(2) 379300
(3) 398300
(4) 365300
(5) 356300

Directions (Q. 66-70): What SilUUili come in place of question mark ('?) in the following number series ?
66. 444 467 513 582 674 789 ?
(1) 950  
(2) 904   
(3) 927
(4) 881  
(5) 973
67. 23 25 53 163 657 3291 ?
(1) 16461 
(2) 13169   
(3) 9877
(4) 23045  
(5) 19753
68. 3 13 65 585 7605 129285 ?
(1) 2456415  
(2) 2235675   
(3) 2980565
(4) 2711985  
(5) 2197g45
69. 1 16 81 256 625 1296 ?
(1) 4096  
(2) 2401   
(3) 1764
(4) 3136  
(5) 6561
70. 12 12 18 45 180 1170 ?
(1) 12285  
(2) 10530   
(3) 11700
(4) 12870  
(5) 7605

Directions (Q.71-80): What should come in place of question mark(?) in the following questions?
71 .4+4.44+0.4+44.04+444=?
(1) 497.24  
(2) 487.66   
(3) 496.88
(4) 469.88  
(5) None of these
72. [(130)2÷ 25 x 15] ÷ 30 =?
(1) 352  
(2) 314   
(3) 326
(4) 338  
(5) None of these
73. 38+16x0.8=?
(1) 43.2  
(2) 50.8   
(3) 44.8
(4) 1.9  
(5) None of these
74. (?)2 +(65)2 = (160)2 -(90)2 -7191
(1) 75  
(2) 77   
(3) 79
(4) 81  
(5) None of these
75. 398 x ? x 7 = 47362
(1) 15  
(2) 13   
(3) 17
(4) 19  
(5) None of these
76. 1485x?=594
(1) 2/5
(2) 3/4
(3) 3/5
(4) 5/6
(5) None of these
77. 2116+692-?=1111
(1) 1667   
(2) 1677   
(3) 1687
(4) 1697   
(5) None of these
78. 6.896 + 3.753 - 2.005 + 1.004 =?
(1) 9.486   
(2) 9.648   
(3) 9.864
(4) 9.846   
(5) None of these
79. (6.5% of 375)-(0.85% of 230)=?
(1) 23.42   
(2) 24.24   
(3) 21.64
(4) 25.76   
(5) None of these
80. (13)54 x (13)-51 =.?
(1) 2197     .   
(2) 39   
(3) 169
(4) 130      
(5) None of these
81. 93. 2/7 x 5/6 x 3/8 x ? = 790

(1) 8848

(2) 8246

(3) 8484

(4) 8868
(5) None of these
82. 968 x 445 ÷ ?=17230.4
(1) 60 

(2) 40 

(3) 25 

(4) 35 

(5) None of these

83. (0.05 x 6.25) ÷ 2.5 =?

(1) 0.105

(2) 0.95

(3) 0.115

(4) 1.25 5)

(5) None of these

84. (41) 2 + (38) 2X (0.15) 2 =?

(1) 3125.0225    

(2) 1713.49

(3) 3125.15

(4) 59204.0225    

(5) None of these
85. In an election between two candidates, one got 72% of the total valid votes. 25% of the total votes are invalid. If the total votes are 8200, what is the number of valid votes the other person got?

(1)
1835    

(2)
1722

(3)
2050
   
(4)
4428    

(5)
None of these

86. In how many different ways can the letters of the word 'WEDDING' be arranged?

(1)
5040    

(2)
2500

(3)
2520

(4)
5000    

(5)
Noneofthese

87. Milind takes as much time in running 15 metres as a car takes in covering 40 metres. What will be the distance covered by Milind during the time the car covers 2 km?
   
(1)
1000 metres    

(2)
600 metres    

(3)
650 metres

(4)
750 metres    

(5)
None of these

88. Four milkmen rented a pasture. A grazed 15 cows for 4 months, B grazed lQ cows for 2 months, C grazed 18 cows for 6  months, and D grazed 16 cows for 5 months. If A's share of rent is Rs 1,020, whatis C's share of rent?

(1)
Rs 1,836    

(2)
Rs 1,360    

(3)
Rs816

(4)
Cannot be determined

 (5)
None of these

Directions (Q. 89-92): Study the following data carefully and answer the questions given below. Out of 6500 students from the Arts wing of a college, 21 % of the total number of students have majored only in Psychology. 12% of the total number of students have majored only in English Literature, and 15% of the total number of students have majored only in Politics. 7% of the total number of students have majored only in Philosophy, and 10% of the total number of students have majored only in History. 8% of the total number of students have majored in both 'Psychology and Philosophy. 4% of the total number of students have majored in History as well as Politics, and 11 % of the total number of students have majored in English Literature as well as Politics. 9% of the total number of students have majored in Psychology and English Li .rature, and 3% of the total number of students have majored in History and Philosophy.

89.What is the ratio of the number of students majoring in Philosophy to the number of students majoring only in Psychology ?

(1)
4:5

(2)
5:6

(3)
6:7

(4)
7:8

(5)
None of these

90. Students majoring in History are approximately what percent of the total number of students majoring in Politics?

(1)
48    

(2)
61    

(3)
52    

(4)
57    

(5)
45

91.How many students have majored only in Politics?

(1)
650

(2)
975    

(3)
780

(4)
455

(5)
None of these

92. What is thetotal number of students majoring in English Literature?

(1)
780

(2)
1495

(3)
1300

(4)
2050

(5) None of these

93. Lowest number of students have majored in which subject?

(1)
History    

(2)
Philosophy    

(3)
Politics

(4)
English Literature     

(5)
Psychology
94. 9654 /21 +7638 / 44 =?
  
(1)
633   

(2)
600     

(3)
643

(4)
621   

(5)
598

95. (4.36) 2 x 66.5 - 371 = ?

(1)
902     

(2)
893     

(3)
871

(4)
888     .

(5)
880

Directions (Q. 96-100): What approximate value should come in place ofthe question mark (?) in the following questions? (You are not expected to calculate the exact value.)
96. 3√7469 x√ 668 =?

(1) 300    

(2) 350    
                                              
(3) 505

(4) 425    

(5) 575

97. 2.5 x 0.08 ÷ (1.9)2 =?

(1) 1.5    

(2) 0.8    

(3) 0.010

(4) 0.06    

(5) 2.1
Directions (Q. 98-99): Each qu stion below is followed by two statements A and B. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
Give answer I) if the statement A alone is sufficient to answer the question, but the Statement A alone is not sufficient
Give answer 2) if the statement C alone is sufficien, to an we: the question, but the statement A alone is not sufficient.
Give answer 3) ifboth statements A and B together are needed to answer the question. Give answer 4) if either the statement Aalone or the statement B alone IS sufficient to-answer the question. Give answer 5) if you cannot get the answer from the statements A and 8 together, but need even more data.

98. How many women can complete a piece of work in 15 days?
A. 12 women can comnlete the same piece of work in 20 days.
B. 10 men can complete rhe same piece of work in 12 days.

99.  What is the rate of interest p.c.p.a. on an amount of Rs 12,000/- deposited in a bank? 
A. The difference between the simple interest and the compound interest is Rs 172.80.
B. The simple interest for two years is Rs2,880.
100. In how many different ways can the letters of the word 'WEDDING' be arranged?
(1) 5040   
(2) 2500
(3) 2520
(4) 5000   
(5) None

Answer
1. (4) 26. (2) 51. (2) 76. (1)
2. (3) 27. (5) 52. (4) 77. (4)
3. (5) 28. (2) 53. (4) 78. (2)
4. (3) 29. (1) 54. (1) 79. (2)
5. (5) 30. (4) 55. (1) 80. (5)
6. (2) 31. (1) 56. (3) 81. (1)
7. (2) 32. (3) 57. (3) 82. (3)
8. (1) 33. (5) 58. (3) 83. (5)
9. (1) 34. (4) 59. (5) 84. (2)
10. (4) 35. (4) 60. (5) 85. (4)
11. (3) 36. (4) 61. (5) 86. (5)
12. (2) 37. (1) 62. (2) 87. (1)
13. (4) 38. (2) 63. (3) 88. (3)
14. (1) 39. (4) 64. (4) 89. (4)
15. (1) 40. (4) 65. (1) 90. (2)
16. (3) 41. (5 66. (3) 91. (5)
17. (4) 42. (3) 67. (5) 92. (1)
18. (4) 43. (5) 68. (4) 93. (3)
19. (2) 44. (3) 69. (2) 94. (5)
20. (1) 45. (1) 70. (1) 95. (4)
21. (3) 46. (2) 71. (3) 96. (1)
22. (3) 47. (4) 72. (4) 97. (1)
23. (4) 48. (5) 73. (2) 98. (3)
24. (3) 49. (1) 74. (5) 99. (5)
25. (5) 50. (3) 75. (1) 100. (5)