SBI-PO 2008 (QUANTITATIVE APTITUDE)
51. (- 251× 21× - 1) + ? = 158.13
(a) 250 (b) 400
(c) 300 (d) 150
(e) None of these
Ans. (b) (-251 × 21 × - 12) ÷ ? = 158.13
| ⇒ | 63252 ? | = 158.13 |
| ⇒ ? = | 63252 158.13 | = 400 |
52. 25.6% of 250 + √? = 119
(a) 4225 (b) 3025
(c) 2025 (d) 5625
(e) None of these
| Ans.(b) 250 × | 25.6 100 | + √? = 119 |
⇒ √? = 119 - 64 = 55
⇒ ? = 55 × 55 = 3025
53. 36865 + 12473 + 21045 - 44102 = ?
(a) 114485 (b) 28081
(c) 26281 (d) 114845
(e) None of these
Ans. (c) ? = 36865 + 12473 + 21045 - 44102
= 70383 - 44102 = 26281
54. [(15.20)2 - 103.04 ] ÷ ? = 8
(a) 12 (b) 6.5
(c) 8.2 (d) 16
(e) None of these
| Ans.(d) | [ | (15.20)2 - 103.04 | ] | ÷ ? = 8 |
| ⇒ | [ | 231.04- 103.04 | ] | ÷ ? = 8 |
| ⇒ | 128 ? | = 8 |
| ⇒ ? = | 128 8 | = 16 |
| 55. | 0.4 × 1.5 0.2 | = ? |
(c) 1.2 (d) 0.3
(e) None of these
| Ans. (b) | ? = | 0.4 × 1.5 0.2 | = 3 |
| 56. | 7428× | 3 4 | × | 2 9 | × ? = 619 |
(c) 0.2 (d) 2.4
(e) None of these
| Ans. (a) | 7428 × | 3 4 | × | 2 9 | × ? = 619 |
| ⇒ ? = | 619 1238 | = 0.5 |
57. (560 ÷32) ×(720 ÷48) = ?
(a) 262.5 (b) 255
(b) 263.5 (c) 271.25
(e) None of these
| Ans. (a) | ? = | 560 32 | × | 720 48 |
= 262.5
58. 748 × ? ×9 = 861696
(a) 122 (b)132
(c) 128 (d)124
(e) None of these
Ans. (c) 748 × ? × 9 = 861696
| ⇒ ? = | 861696 748 × 9 | = 128 |
59. 3.2% of 500 × 2.4% of ? = 288
(a) 650 (b)700
(c) 600 (d) 750
(e) None of these
| Ans . (d) | 500 × 3.2 100 | × | ? × 2.4 100 | = 288 |
| ⇒ ? = | 288 × 100 16 × 24 | = 750 |
60. 333 × 33 × 3 = ?
(a) 32697 (b) 36297
(c) 32679 (d) 39267
(e) None of these
Ans. (e) ? = 333 × 33 × 3
= 32967
61. [(36)2+(47)2] ÷ ? = 28.04
(a) 55 (b)75
(c)) 105 (d) 125
(e) None of these
| Ans. (d) | [ | (36)2 + (47)2 | ] | ÷ ? = 28.04 |
| ⇒ | 3505 ? | = 28.04 |
| ⇒ ? = | 3505 28.04 | = 125 |
62. 3√? = (28 × 24) + 14
(a) 85184 (b) 140608
(c) 97336 (d) 117649
(e) None of these
| Ans. (e) | 3√? = | 28 × 24 14 |
⇒ ? = 48 × 48 × 48
= 110592
63. 14785 - 358 - 4158 - 9514 = ?
(a) 755 (b) 825
(c)721 (d) 785
(e) None of these.
Ans. (a) ? = 14785 - 358 - 4158 - 9514
= 14785 - 14030
= 755
64. 156 + 328 × 0.8 = ?
(a) 287.2 (b)352.8
(c) 418.4 (d) 451.2
(e) None of these
Ans. (c) ? = 156 + 328 × 0.8
= 156 + 262.4 = 418.4
65. 1148 ÷ 28 × 1408 ÷32 = ?
(a) 1800 (b)1804
(c) 1814 (d)1822
(e) None of these
| Ans. (b) ? = | 1148 28 | × | 1408 32 |
66. 3√148877 = ?
(a) 51 (b) 59
(c) 53 (d) 49
(e) None of these
Ans. (c) From the given answer choices,
53 × 53 × 53 = 148877
∴ 3√148877 = 53
67. 1425 + 8560 `÷ 200 =?
(a) 58.325 (b) 9973.4
(c) 56.425 (d) 9939.4
(e) None of these
Ans. (e) ? = 1425 + 8560 + 1680 ÷ 200
| = 1425 + 8560 + | 1680 200 |
= 9993.4
68. [(12)2 × (14)2 ÷ (16)2] = ?
(a) 282.24 (b) 1764
(c)126 (d)104.25
(e) None of these
| Ans. (e) ? = | 144 × 196 256 | = 110.25 |
69. 2(4/25) + 3 (1/5) ?
(a) 1(7/15) (b)6(4/25)
(c) 6(4/15) (d) 5(9/25)
(e) None of these
| Ans. (d) ? = 2 + | 4 25 | + 3 + | 1 5 |
| = 5 + | ( | 4 25 | + | 1 5 | ) |
| = 5 + | ( | 4 + 5 25 | ) |
| = 5 + | 9 25 | = 5 | 9 25 |
70. √? × √3025 = 2695
(a) 2401 (b) 2209
(c) 2601 (d) 2304
(e) None of these
Ans. (a) √? × √3025 = 2695
⇒ √? × 55 = 2695
| ⇒ √? = | 2695 55 | = 49 |
Directions (71-75) What should come in place of the question mark (?) in the following number series ?
71. 7413 7422 7440 ? 7503 7548
(a) 7464 (b) 7456
(c) 7466 (d) 7477
(e) None of these
Ans.(e) The given number series is based on the following pattern :
7413 + 9 × 1 = 7422
7422 + 9 × 2 = 7440
| 7440 + 9 × 3 = |
|
Hence, 7467 will replace the question mark.
72. 4 16 36 64 100 ?
(a) 120 (b) 180
(c)136 (d) 144
(e) None of these
Ans.(d) The given number series is based on the following pattern :
4 = 22 ; 16 = 42;
36 = 62 ; 64 = 82 ;
100 = 102
| ∴ ? = 122 |
|
73. 12 33 96 ? 852 2553
(a)285 (b)288
(c) 250 (d) 384
(e) None of these
Ans. (a) The given number series is based on the following pattern :
12 × 3 - 3 = 33
33 × 3 - 3 = 96
| 96 × 3 - 3 |
|
Hence, 285 will be replaced the question mark.
74. 7000 14000 2800 ? 112 22.4
(a) 640 (b) 420
(c) 560 (d)540
(e) None of these
Ans. (c) The given number series is based on the following pattern :
70000 ÷ 5 = 14000
14000 ÷ 5 = 2800
| 2800 ÷ 5 = |
|
112 ÷ 5 = 22.4
Hence, 560 will replaced the question mark.
75. 102 99 104 97 106 ?
(a) 96 (b) 95
(c) 100 (d) 94
(e) None of these
Ans. (b) The given number series is based on the following pattern :
102 - 3 = 99
99 + 5 = 104
104 - 7 = 97
97 + 9 = 106
| 106 - 11 |
|
76. If the numerator of a fraction is in creased by 200% and the denominator of the fraction is increased by 120% the resultant fraction is (4/11) What is the original fraction ?
(a) 4/15 (b)3/11
(c) 5/12 (d) 6/11
(e) None of these
Ans.(a) Let the original fraction be x/y.
According to the question ,
| x × | 300 100 | = | 4 11 |
| y × | |||
| 220 100 |
| ⇒ | 30x 22y | = | 4 11 |
| ⇒ | x y | = | 4 11 | × | 22 30 | = | 4 15 |
77. Mr. invests a sum of Rs. 41.250 at the rate of p.c.p.a. What approximate amount of compound interest will he obtain at the end of 3 years?
(a) Rs. 8,100 (b)Rs.7,425
(c) Rs. 8,210 (d) Rs. 7,879
(e) None of these
| Ans. (d) C.I. = P | [ | ( | 1 + | R 100 | ) | T | - 1 | ] |
| = 41250 | [ | ( | 1 + | 6 100 | ) | 3 | - 1 | ] |
= 14250(1.191 -1)
= 41250 × 0.191
= Rs. 7878.75
= Rs. 7879
78. The profit after selling a pair of trousers for Rs. 863 is the same as the loss incurred after selling the same pair of trouser for Rs. 631. What is the cost price of the pair of trousers ?
(a) Rs. 750 (b) Rs. 800
(c) Rs. 763 (d) Cannot be determined
(e) None of these
Ans.(e) Let the cost price of the trouser be Rs. x.
According to the question,
863 - x = x - 631
⇒ 2x = 863 + 631 = 1494
| ⇒ x = | 1494 2 | = Rs. 747 |
79. The ratio of the length and the breath of a rectangular plot is 6:5 respectively. If the breath of the plot is 34 meters. , less than the length, what is the perimeter of the rectangular plot ?
(a) 374 meters. (b) 408 meters.
(c) 814 meters. (d) 784 meters.
(e) None of these
Ans. (d) Let the length and breadth of the rectangular plot be 6x and 5x meters respectively. According to the question,
6x - 5x = 34
⇒ x = 34
∴ Perimeter of the plot
= 2 (length + breadth)
= 2 (6x + 5x)
= 22x metre
= 22 × 34 = 748 metre
80. Ninad, Vikas and Manav enter into a partnership. Ninad invests some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months . They earn a profit of Rs. 45, 000 at the end of I he year. What is Manav's share in the profit ?
(a) Rs. 25, 000 (b) Rs. 15,000
(c) Rs. 12,000 (d) Rs. 9, 000
(e) None of these
Ans.(b) Let Ninad Invest Rs. x.
∴ Vikas's investment = Rs. 2x
Manav's investement = Rs. 3x
Ratio of the equivalent capitals for 1 month of Ninad, Vikas and Manav respectively
= x × 12 : 2x × 6 : 4 × 3x
1 : 1 : 1
Clearly, the profit will be shared equally.
∴ Manav's share
| = Rs. | 1 3 | × 45000 = Rs. 15000 |
81. The cost of 7 tables and 12 chairs is Rs. 48,250. What is the cost of 21 tables and 36 chairs?
(a) Rs. 96,500 (b) Rs. 1,25,500
(c) Rs. 1,44,750 (d) cannot be determined
(e) None of these
Ans.(c) Let the CP of a table be Rs. x and that of a chair be Rs. y.
According to the question,
7x + 12y - Rs. 48250
∴ 3 (7x + 12y) = Rs. (3 × 48250)
⇒ 21x + 36y = Rs. 144750
82. 'A' can incomplete a piece of work in 12 days. 'A' and 'B' together can complete the same piece of work in 8 days, in how many days can 'B' alone complete the same piece of work?
(a) 15 days (b) 18 days
(c) 24 days (d) 28 days
(e) None of these
Ans. (c) A's 1 day's work = 1/12
(A + B)'s 1 day's work = 1/8
∴ B's 1 day's work
| = | 1 8 | - | 1 12 |
| = | 3 - 2 24 | = | 1 24 |
83. What approximate value should come in place of the question mark(?) in the following question ?
6523 ÷544 × 1.2 = ?
(a) 21 (b) 33
(c) 14 (d) 8
(e) 28
Ans.(c) ? = 6523 ÷ 544 × 1.2
| = ? = | 6523 544 | × 12 = 14.4 ≈ 14 |
84.Raman drove from home to a neighbouring town at the speed of 50 kms./hr. and on his returning journey, he drove at the speed of 45 kms./hr. and also took an hour longer to reach home. What distance did he cover each way?
(a)450 kms. (b) 225 kms
(c) 900 kms. (d) 500 kms
(e) None of these
Ans.(a) Let the required distance be = x km.
According to the question,
| x 45 | - | x 50 | = 1 |
| ⇒ | 10x - 9x 45 0 | = 1 |
85. 3/4th of 2/9th of 1/5th of a number is 24.96. What is 50% of that number ?
(a) 3794 (b) 3749
(c) 3734 (d) 3739
(e) None of these
Ans.(e) Let the number be x.
According to the question,
| x × | 1 5 | × | 2 9 | × | 3 4 | = 249.6 |
∴ 50% of 7488
| = 7488 × | 1 2 | = 3744 |
86. The average weight of a group of 75 girls was calculated a 47 kgs. It was later discovered that the weight of one of the girls was read as 45 kgs., where her actual weight was 25 kgs. What is the actual average weight of the group of 75 girls? (Rounded off to two digits after decimal)
(a)46.73 kgs (b) 46.64 kgs
(c) 45.96 kgs (d) Cannot be determined
(e) None of these
Ans.(a) Total actual weight of all girls
= 47 × 75 - 45 + 25
= 3525 - 20 = 3505 kg
∴ Average weight
| = | 3505 75 | = 46.73 kg. |
87. In sum many different ways can the letters of the word 'MIRACLE' be arranged ?
(a) 720 (b) 5040
(c) 2520 (d) 40320
(e) None of these
Ans. (b) The word MIRACLE has 7 distinct letters
∴ Numbers of arrangements = 7!
= 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
88. The sum of the digits of a two digit number is 1 and the difference between the two - digits of the two digit number is 6. What is the two - digit number?
(a) 39 (b) 84
(c) 93 (d) Cannot be determined
(e) None of these
Ans. (d) Let the two digit number be
= 10x + y where x > y
According to the equations,
x + y = 12
x - y = 6
+2x = 18
| ⇒ x = | 18 2 | = 9 |
∴ Number = 93
Again, let the number be 10 x + y
where x < y.
THen,
x + y = 12 and
y - x = 6
Adding these equations,
2y = 18
| ⇒ y = | 18 2 | = 9 |
∴ Number = 39
Thus we get numbers. this doesn't satisfy the uniqueness of answer.
89. If an amount of Rs. 74,336 is equally divided amongst 150 people, how much approximate amount would each person get ?
(a) Rs. 522 (b) Rs. 485
(c) Rs. 496 (d) Rs. 488
(e) Rs. 510
Ans. (c) Amount received by each person
| = | 74336 150 | ≈ Rs. 496 |
90. What is 170% of 1140 ?
(a) 1938 (b) 1824
(c) 1995 (d) 1881
(e) None of these
Ans.(a) 170% of 1140
| = 1140 × | 170 100 | = 1938 |
91. Mr. Sarang invests 6% of his monthly salary i.e., Rs. 2,100 on insurance policies. Also he invests 8% of his monthly salary on family Medicaid policies and another 9% of his salary on NSCs. What is the total annual amount invests by Mr. Sarang .?
(a) Rs. 11,400 (b) Rs. 96,600
(c) Rs. 8, 050 (d) Rs. 9, 500
(e) None of these
Ans.(b) 6% of Sarang's monthly income = Rs. 2100
∴ Sarang's monthly income,
| 2100 × 100 6 | = Rs. 35000 |
∴ Sarang's annual investment
| = 12 × 35000 × | 23 100 | = Rs. 96600 |
92. A trader sells 145 metre of cloth for Rs. 12, 325 at the profit of Rs. 10 per metre of cloth. What is the cost price of 1 metre of cloth?
(a) Rs. 65 (b) Rs. 75
(c) Rs. 95 (d) Rs. 85
(e) None of these
Ans.(b) Cost price of 145m long cloth
= Rs. (12325 - 145 × 10)
= Rs. 10875
∴ CP of 1 metre long cloth
| 10875 145 | = Rs. 75 |
93. There are 7 dozen candles kept in a box. If there are 14 such boxes, how many candles are there in all the boxes together ?
(a) 1176 (b) 98
(c) 1216 (d) 168
(e) None of these
Ans.(a) Total number of candles
= 7 × 12 × 14 = 1176
94. Which of the following smallest numbers should be added to 6659 to make it a perfect square?
(a) 230 (b) 65
(c)98 (d) 56
(e) None of these
Ans. (B) 81 × 81 = 6561
82 × 82 = 6724
∴ To make 6659 a perfect square, the number to be added
= 6724 - 6659 = 65
95. What is the greater of two numbers whose product is 1092 and the sum of the numbers exceeds their difference by 42?
(a) 48 (b) 44
(c) 52 (d) 54
(e) None of these
Ans.(c) Let the number be x and y. According to the question,
x + y - (x - y) = 42
= 2y = 42
| y = | 42 2 | = 21 |
| ∴ x = | 1092 21 | = 52 |
96. Veena obtained an amount of Rs. 8,376 as simple interest on a certain amount at 8 p.c. p. a after 6 years. What is the amount invested by Veena.?
(a) Rs. 17, 180 (b) Rs. 18,110
(c) Rs. 16,660 (d) Rs. 17,450
(e) None of these
Ans. (d) Let the amount invested by Veena Rs. x.
| ∴ Principal = | SI × 100 Time × Rate |
| = | 8376 × 100 6 × 8 | = Rs. 17450 |
97. Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39 Which is the smaller number ?
(a) 9 (b) 5
(c) 7 (d) 3
(e) None of these
Ans.(e) Let the numbers be x and y.
According to the question,
2x + 3y = 36 ......... (i)
3x + 2y = 39 ........... (ii)
by equation (i) × 3 - (ii) × 2,
6x + 9y -6x - 4y = 108 - 78
⇒ 5y = 30
| y = | 30 5 | = 6 |
2x + 3 + 6 = 36
⇒ 2x = 36 - 18 = 18
| ⇒ x = | 18 2 | = 9 |
98. The difference between the present ages of Arun and Deepak is 14 years. Seven years ago the ratio of their ages was 5: 7 respectively. What is Deepak's present age.?
(a) 49 years (b) 42 years
(c) 63 years (d) 35 years
(e) None of these
Ans. (e) Seven years ago, let Arjun's and Deepak's age be 5x and 7x years respectively.
∴ Anju's presents age
= (5x + 7) years
Deepak' present age
(7x + 7) years
According to the question,
7x + 7 - 5x - 7 = 14
⇒ 2x = 14
| ⇒ x = | 14 2 | = 7 |
= 7 × 7 + 7 = 56 years
99. a,b,c,d and e are five consecutive even numbers. If the sum of 'a' and 'd' is 162, what is the sum of all the numbers?
(a) 400 (b) 380
(c) 420 (d) cannot be determined
(e) None of these
Ans.(e) Let the five consecutive even numbers be
x, x + 2, x + 4, x + 6 and x + 8 respectively. According to the question, x + x + 6 = 162
⇒ 2x = 162 - 6 = 156
| x = | 156 1 | = 78 |
= 78 + 80 + 82 + 84 + 86
= 410
100. What is 348 times 265 ?
(a) 88740 (b) 98570
(c) 95700 (d) 92220
(e) None of these
Ans.(a) 265 × 348 = 92220
SBI-PO 2008 (QUANTITATIVE APTITUDE)
51. (- 251× 21× - 1) + ? = 158.13
(a) 250 (b) 400
(c) 300 (d) 150
(e) None of these
Ans. (b) (-251 × 21 × - 12) ÷ ? = 158.13
| ⇒ | 63252 ? | = 158.13 |
| ⇒ ? = | 63252 158.13 | = 400 |
52. 25.6% of 250 + √? = 119
(a) 4225 (b) 3025
(c) 2025 (d) 5625
(e) None of these
| Ans.(b) 250 × | 25.6 100 | + √? = 119 |
⇒ √? = 119 - 64 = 55
⇒ ? = 55 × 55 = 3025
53. 36865 + 12473 + 21045 - 44102 = ?
(a) 114485 (b) 28081
(c) 26281 (d) 114845
(e) None of these
Ans. (c) ? = 36865 + 12473 + 21045 - 44102
= 70383 - 44102 = 26281
54. [(15.20)2 - 103.04 ] ÷ ? = 8
(a) 12 (b) 6.5
(c) 8.2 (d) 16
(e) None of these
| Ans.(d) | [ | (15.20)2 - 103.04 | ] | ÷ ? = 8 |
| ⇒ | [ | 231.04- 103.04 | ] | ÷ ? = 8 |
| ⇒ | 128 ? | = 8 |
| ⇒ ? = | 128 8 | = 16 |
| 55. | 0.4 × 1.5 0.2 | = ? |
(c) 1.2 (d) 0.3
(e) None of these
| Ans. (b) | ? = | 0.4 × 1.5 0.2 | = 3 |
| 56. | 7428× | 3 4 | × | 2 9 | × ? = 619 |
(c) 0.2 (d) 2.4
(e) None of these
| Ans. (a) | 7428 × | 3 4 | × | 2 9 | × ? = 619 |
| ⇒ ? = | 619 1238 | = 0.5 |
57. (560 ÷32) ×(720 ÷48) = ?
(a) 262.5 (b) 255
(b) 263.5 (c) 271.25
(e) None of these
| Ans. (a) | ? = | 560 32 | × | 720 48 |
= 262.5
58. 748 × ? ×9 = 861696
(a) 122 (b)132
(c) 128 (d)124
(e) None of these
Ans. (c) 748 × ? × 9 = 861696
| ⇒ ? = | 861696 748 × 9 | = 128 |
59. 3.2% of 500 × 2.4% of ? = 288
(a) 650 (b)700
(c) 600 (d) 750
(e) None of these
| Ans . (d) | 500 × 3.2 100 | × | ? × 2.4 100 | = 288 |
| ⇒ ? = | 288 × 100 16 × 24 | = 750 |
60. 333 × 33 × 3 = ?
(a) 32697 (b) 36297
(c) 32679 (d) 39267
(e) None of these
Ans. (e) ? = 333 × 33 × 3
= 32967
61. [(36)2+(47)2] ÷ ? = 28.04
(a) 55 (b)75
(c)) 105 (d) 125
(e) None of these
| Ans. (d) | [ | (36)2 + (47)2 | ] | ÷ ? = 28.04 |
| ⇒ | 3505 ? | = 28.04 |
| ⇒ ? = | 3505 28.04 | = 125 |
62. 3√? = (28 × 24) + 14
(a) 85184 (b) 140608
(c) 97336 (d) 117649
(e) None of these
| Ans. (e) | 3√? = | 28 × 24 14 |
⇒ ? = 48 × 48 × 48
= 110592
63. 14785 - 358 - 4158 - 9514 = ?
(a) 755 (b) 825
(c)721 (d) 785
(e) None of these.
Ans. (a) ? = 14785 - 358 - 4158 - 9514
= 14785 - 14030
= 755
64. 156 + 328 × 0.8 = ?
(a) 287.2 (b)352.8
(c) 418.4 (d) 451.2
(e) None of these
Ans. (c) ? = 156 + 328 × 0.8
= 156 + 262.4 = 418.4
65. 1148 ÷ 28 × 1408 ÷32 = ?
(a) 1800 (b)1804
(c) 1814 (d)1822
(e) None of these
| Ans. (b) ? = | 1148 28 | × | 1408 32 |
66. 3√148877 = ?
(a) 51 (b) 59
(c) 53 (d) 49
(e) None of these
Ans. (c) From the given answer choices,
53 × 53 × 53 = 148877
∴ 3√148877 = 53
67. 1425 + 8560 `÷ 200 =?
(a) 58.325 (b) 9973.4
(c) 56.425 (d) 9939.4
(e) None of these
Ans. (e) ? = 1425 + 8560 + 1680 ÷ 200
| = 1425 + 8560 + | 1680 200 |
= 9993.4
68. [(12)2 × (14)2 ÷ (16)2] = ?
(a) 282.24 (b) 1764
(c)126 (d)104.25
(e) None of these
| Ans. (e) ? = | 144 × 196 256 | = 110.25 |
69. 2(4/25) + 3 (1/5) ?
(a) 1(7/15) (b)6(4/25)
(c) 6(4/15) (d) 5(9/25)
(e) None of these
| Ans. (d) ? = 2 + | 4 25 | + 3 + | 1 5 |
| = 5 + | ( | 4 25 | + | 1 5 | ) |
| = 5 + | ( | 4 + 5 25 | ) |
| = 5 + | 9 25 | = 5 | 9 25 |
70. √? × √3025 = 2695
(a) 2401 (b) 2209
(c) 2601 (d) 2304
(e) None of these
Ans. (a) √? × √3025 = 2695
⇒ √? × 55 = 2695
| ⇒ √? = | 2695 55 | = 49 |
Directions (71-75) What should come in place of the question mark (?) in the following number series ?
71. 7413 7422 7440 ? 7503 7548
(a) 7464 (b) 7456
(c) 7466 (d) 7477
(e) None of these
Ans.(e) The given number series is based on the following pattern :
7413 + 9 × 1 = 7422
7422 + 9 × 2 = 7440
| 7440 + 9 × 3 = |
|
Hence, 7467 will replace the question mark.
72. 4 16 36 64 100 ?
(a) 120 (b) 180
(c)136 (d) 144
(e) None of these
Ans.(d) The given number series is based on the following pattern :
4 = 22 ; 16 = 42;
36 = 62 ; 64 = 82 ;
100 = 102
| ∴ ? = 122 |
|
73. 12 33 96 ? 852 2553
(a)285 (b)288
(c) 250 (d) 384
(e) None of these
Ans. (a) The given number series is based on the following pattern :
12 × 3 - 3 = 33
33 × 3 - 3 = 96
| 96 × 3 - 3 |
|
Hence, 285 will be replaced the question mark.
74. 7000 14000 2800 ? 112 22.4
(a) 640 (b) 420
(c) 560 (d)540
(e) None of these
Ans. (c) The given number series is based on the following pattern :
70000 ÷ 5 = 14000
14000 ÷ 5 = 2800
| 2800 ÷ 5 = |
|
112 ÷ 5 = 22.4
Hence, 560 will replaced the question mark.
75. 102 99 104 97 106 ?
(a) 96 (b) 95
(c) 100 (d) 94
(e) None of these
Ans. (b) The given number series is based on the following pattern :
102 - 3 = 99
99 + 5 = 104
104 - 7 = 97
97 + 9 = 106
| 106 - 11 |
|
76. If the numerator of a fraction is in creased by 200% and the denominator of the fraction is increased by 120% the resultant fraction is (4/11) What is the original fraction ?
(a) 4/15 (b)3/11
(c) 5/12 (d) 6/11
(e) None of these
Ans.(a) Let the original fraction be x/y.
According to the question ,
| x × | 300 100 | = | 4 11 |
| y × | |||
| 220 100 |
| ⇒ | 30x 22y | = | 4 11 |
| ⇒ | x y | = | 4 11 | × | 22 30 | = | 4 15 |
77. Mr. invests a sum of Rs. 41.250 at the rate of p.c.p.a. What approximate amount of compound interest will he obtain at the end of 3 years?
(a) Rs. 8,100 (b)Rs.7,425
(c) Rs. 8,210 (d) Rs. 7,879
(e) None of these
| Ans. (d) C.I. = P | [ | ( | 1 + | R 100 | ) | T | - 1 | ] |
| = 41250 | [ | ( | 1 + | 6 100 | ) | 3 | - 1 | ] |
= 14250(1.191 -1)
= 41250 × 0.191
= Rs. 7878.75
= Rs. 7879
78. The profit after selling a pair of trousers for Rs. 863 is the same as the loss incurred after selling the same pair of trouser for Rs. 631. What is the cost price of the pair of trousers ?
(a) Rs. 750 (b) Rs. 800
(c) Rs. 763 (d) Cannot be determined
(e) None of these
Ans.(e) Let the cost price of the trouser be Rs. x.
According to the question,
863 - x = x - 631
⇒ 2x = 863 + 631 = 1494
| ⇒ x = | 1494 2 | = Rs. 747 |
79. The ratio of the length and the breath of a rectangular plot is 6:5 respectively. If the breath of the plot is 34 meters. , less than the length, what is the perimeter of the rectangular plot ?
(a) 374 meters. (b) 408 meters.
(c) 814 meters. (d) 784 meters.
(e) None of these
Ans. (d) Let the length and breadth of the rectangular plot be 6x and 5x meters respectively. According to the question,
6x - 5x = 34
⇒ x = 34
∴ Perimeter of the plot
= 2 (length + breadth)
= 2 (6x + 5x)
= 22x metre
= 22 × 34 = 748 metre
80. Ninad, Vikas and Manav enter into a partnership. Ninad invests some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months . They earn a profit of Rs. 45, 000 at the end of I he year. What is Manav's share in the profit ?
(a) Rs. 25, 000 (b) Rs. 15,000
(c) Rs. 12,000 (d) Rs. 9, 000
(e) None of these
Ans.(b) Let Ninad Invest Rs. x.
∴ Vikas's investment = Rs. 2x
Manav's investement = Rs. 3x
Ratio of the equivalent capitals for 1 month of Ninad, Vikas and Manav respectively
= x × 12 : 2x × 6 : 4 × 3x
1 : 1 : 1
Clearly, the profit will be shared equally.
∴ Manav's share
| = Rs. | 1 3 | × 45000 = Rs. 15000 |
81. The cost of 7 tables and 12 chairs is Rs. 48,250. What is the cost of 21 tables and 36 chairs?
(a) Rs. 96,500 (b) Rs. 1,25,500
(c) Rs. 1,44,750 (d) cannot be determined
(e) None of these
Ans.(c) Let the CP of a table be Rs. x and that of a chair be Rs. y.
According to the question,
7x + 12y - Rs. 48250
∴ 3 (7x + 12y) = Rs. (3 × 48250)
⇒ 21x + 36y = Rs. 144750
82. 'A' can incomplete a piece of work in 12 days. 'A' and 'B' together can complete the same piece of work in 8 days, in how many days can 'B' alone complete the same piece of work?
(a) 15 days (b) 18 days
(c) 24 days (d) 28 days
(e) None of these
Ans. (c) A's 1 day's work = 1/12
(A + B)'s 1 day's work = 1/8
∴ B's 1 day's work
| = | 1 8 | - | 1 12 |
| = | 3 - 2 24 | = | 1 24 |
83. What approximate value should come in place of the question mark(?) in the following question ?
6523 ÷544 × 1.2 = ?
(a) 21 (b) 33
(c) 14 (d) 8
(e) 28
Ans.(c) ? = 6523 ÷ 544 × 1.2
| = ? = | 6523 544 | × 12 = 14.4 ≈ 14 |
84.Raman drove from home to a neighbouring town at the speed of 50 kms./hr. and on his returning journey, he drove at the speed of 45 kms./hr. and also took an hour longer to reach home. What distance did he cover each way?
(a)450 kms. (b) 225 kms
(c) 900 kms. (d) 500 kms
(e) None of these
Ans.(a) Let the required distance be = x km.
According to the question,
| x 45 | - | x 50 | = 1 |
| ⇒ | 10x - 9x 45 0 | = 1 |
85. 3/4th of 2/9th of 1/5th of a number is 24.96. What is 50% of that number ?
(a) 3794 (b) 3749
(c) 3734 (d) 3739
(e) None of these
Ans.(e) Let the number be x.
According to the question,
| x × | 1 5 | × | 2 9 | × | 3 4 | = 249.6 |
∴ 50% of 7488
| = 7488 × | 1 2 | = 3744 |
86. The average weight of a group of 75 girls was calculated a 47 kgs. It was later discovered that the weight of one of the girls was read as 45 kgs., where her actual weight was 25 kgs. What is the actual average weight of the group of 75 girls? (Rounded off to two digits after decimal)
(a)46.73 kgs (b) 46.64 kgs
(c) 45.96 kgs (d) Cannot be determined
(e) None of these
Ans.(a) Total actual weight of all girls
= 47 × 75 - 45 + 25
= 3525 - 20 = 3505 kg
∴ Average weight
| = | 3505 75 | = 46.73 kg. |
87. In sum many different ways can the letters of the word 'MIRACLE' be arranged ?
(a) 720 (b) 5040
(c) 2520 (d) 40320
(e) None of these
Ans. (b) The word MIRACLE has 7 distinct letters
∴ Numbers of arrangements = 7!
= 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
88. The sum of the digits of a two digit number is 1 and the difference between the two - digits of the two digit number is 6. What is the two - digit number?
(a) 39 (b) 84
(c) 93 (d) Cannot be determined
(e) None of these
Ans. (d) Let the two digit number be
= 10x + y where x > y
According to the equations,
x + y = 12
x - y = 6
+2x = 18
| ⇒ x = | 18 2 | = 9 |
∴ Number = 93
Again, let the number be 10 x + y
where x < y.
THen,
x + y = 12 and
y - x = 6
Adding these equations,
2y = 18
| ⇒ y = | 18 2 | = 9 |
∴ Number = 39
Thus we get numbers. this doesn't satisfy the uniqueness of answer.
89. If an amount of Rs. 74,336 is equally divided amongst 150 people, how much approximate amount would each person get ?
(a) Rs. 522 (b) Rs. 485
(c) Rs. 496 (d) Rs. 488
(e) Rs. 510
Ans. (c) Amount received by each person
| = | 74336 150 | ≈ Rs. 496 |
90. What is 170% of 1140 ?
(a) 1938 (b) 1824
(c) 1995 (d) 1881
(e) None of these
Ans.(a) 170% of 1140
| = 1140 × | 170 100 | = 1938 |
91. Mr. Sarang invests 6% of his monthly salary i.e., Rs. 2,100 on insurance policies. Also he invests 8% of his monthly salary on family Medicaid policies and another 9% of his salary on NSCs. What is the total annual amount invests by Mr. Sarang .?
(a) Rs. 11,400 (b) Rs. 96,600
(c) Rs. 8, 050 (d) Rs. 9, 500
(e) None of these
Ans.(b) 6% of Sarang's monthly income = Rs. 2100
∴ Sarang's monthly income,
| 2100 × 100 6 | = Rs. 35000 |
∴ Sarang's annual investment
| = 12 × 35000 × | 23 100 | = Rs. 96600 |
92. A trader sells 145 metre of cloth for Rs. 12, 325 at the profit of Rs. 10 per metre of cloth. What is the cost price of 1 metre of cloth?
(a) Rs. 65 (b) Rs. 75
(c) Rs. 95 (d) Rs. 85
(e) None of these
Ans.(b) Cost price of 145m long cloth
= Rs. (12325 - 145 × 10)
= Rs. 10875
∴ CP of 1 metre long cloth
| 10875 145 | = Rs. 75 |
93. There are 7 dozen candles kept in a box. If there are 14 such boxes, how many candles are there in all the boxes together ?
(a) 1176 (b) 98
(c) 1216 (d) 168
(e) None of these
Ans.(a) Total number of candles
= 7 × 12 × 14 = 1176
94. Which of the following smallest numbers should be added to 6659 to make it a perfect square?
(a) 230 (b) 65
(c)98 (d) 56
(e) None of these
Ans. (B) 81 × 81 = 6561
82 × 82 = 6724
∴ To make 6659 a perfect square, the number to be added
= 6724 - 6659 = 65
95. What is the greater of two numbers whose product is 1092 and the sum of the numbers exceeds their difference by 42?
(a) 48 (b) 44
(c) 52 (d) 54
(e) None of these
Ans.(c) Let the number be x and y. According to the question,
x + y - (x - y) = 42
= 2y = 42
| y = | 42 2 | = 21 |
| ∴ x = | 1092 21 | = 52 |
96. Veena obtained an amount of Rs. 8,376 as simple interest on a certain amount at 8 p.c. p. a after 6 years. What is the amount invested by Veena.?
(a) Rs. 17, 180 (b) Rs. 18,110
(c) Rs. 16,660 (d) Rs. 17,450
(e) None of these
Ans. (d) Let the amount invested by Veena Rs. x.
| ∴ Principal = | SI × 100 Time × Rate |
| = | 8376 × 100 6 × 8 | = Rs. 17450 |
97. Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39 Which is the smaller number ?
(a) 9 (b) 5
(c) 7 (d) 3
(e) None of these
Ans.(e) Let the numbers be x and y.
According to the question,
2x + 3y = 36 ......... (i)
3x + 2y = 39 ........... (ii)
by equation (i) × 3 - (ii) × 2,
6x + 9y -6x - 4y = 108 - 78
⇒ 5y = 30
| y = | 30 5 | = 6 |
2x + 3 + 6 = 36
⇒ 2x = 36 - 18 = 18
| ⇒ x = | 18 2 | = 9 |
98. The difference between the present ages of Arun and Deepak is 14 years. Seven years ago the ratio of their ages was 5: 7 respectively. What is Deepak's present age.?
(a) 49 years (b) 42 years
(c) 63 years (d) 35 years
(e) None of these
Ans. (e) Seven years ago, let Arjun's and Deepak's age be 5x and 7x years respectively.
∴ Anju's presents age
= (5x + 7) years
Deepak' present age
(7x + 7) years
According to the question,
7x + 7 - 5x - 7 = 14
⇒ 2x = 14
| ⇒ x = | 14 2 | = 7 |
= 7 × 7 + 7 = 56 years
99. a,b,c,d and e are five consecutive even numbers. If the sum of 'a' and 'd' is 162, what is the sum of all the numbers?
(a) 400 (b) 380
(c) 420 (d) cannot be determined
(e) None of these
Ans.(e) Let the five consecutive even numbers be
x, x + 2, x + 4, x + 6 and x + 8 respectively. According to the question, x + x + 6 = 162
⇒ 2x = 162 - 6 = 156
| x = | 156 1 | = 78 |
= 78 + 80 + 82 + 84 + 86
= 410
100. What is 348 times 265 ?
(a) 88740 (b) 98570
(c) 95700 (d) 92220
(e) None of these
Ans.(a) 265 × 348 = 92220
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