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Exam Held On : 16-01-2011Quantitative Aptitude Questions with answers and detailed explanations
Directions (81-90) :What should come in place of the question mark (?) in the following questions ?
81.1 38% of 4500 - 25% of ? = 1640
(1) 260
(2) 270
(3) 280 (Ans)
(4) 290
(5) None of these
Explanations : 4500 * 38/100 - x * 25/100 = 1640
⇒ 1710 - 1640 = x/4
⇒ x/4 = 70
⇒ x = 280
82.2 (?)2 + 152 - 332 = 97
(1) 33
(2) 32
(3) 34
(4) 30
(5) None of these (Ans)
Explanations : x2 + 152 - 332 = 97
⇒ x2 = 97 + 1089 - 725
⇒ x2 = 1186 - 225 = 961
⇒ x = 31
83. 3 (7921 + 178) - 5.5 = √?
(1) 1512
(2) 1521 (Ans)
(3) 1251
(4) 1531
(5) None of these
Explanations : 7921 / 178 - 5.5 = √x
44.5 - 5.5 = = √x
⇒ 39.0 = √x
⇒ x = 1521
84. 4 9/10 + 3/11 + 7/15 = ?
(1) 1 217/330
(2) 1 221/330
(3) 1 211/330 (Ans)
(4) 1 197/330
(5) None of these
Explanations : 9 + 3 + 7 = 297 + 90 + 154 = 541
10 11 15 330 330
= 1 211
330
85. 5 1/4th of 1/2 of 3/4th of 52000 = ?
(1) 4875 (Ans)
(2) 4857
(3) 4785
(4) 4877
(5) None of these
Explanations : 52000 * 3/4 * 1/2 * 1/4 = 4875
86.6 57/67 * 32/171 * 45/128 = ?
(1) 15/262
(2) 15/268 (Ans)
(3) 15/266
(4) 17/268
(5) None of these
Explanations : 57/67 * 32/171 * 45/128 = 15/268
87. 7 283 * 56 + 252 = 20 * ?
(1) 805 (Ans)
(2) 803
(3) 807
(4) 809
(5) None of these
Explanations : 283 * 56 + 252 = 20*x
⇒ 15848 + 252 = 20*x
⇒ x = 16100/20
⇒ x = 805
88.8 (5863 - √2704) * 0.5 = ?
(1) 2955.5
(2) 2905.5 (Ans)
(3) 2590.5
(4) 2909.5
(5) None of these
Explanations : (5863 - √2704) * 0.5
= 2905.5
89.9 3√42875 - ? = 21
(1) 18
(2) 13
(3) 15
(4) 11
(5) None of these (Ans)
Explanations : √42875 - x = 21
35 - x = 21
x = 14
90. 10 25639 - 5252 - 3232 = ?
(1) 17255
(2) 17551
(3) 17515
(4) 17155 (Ans)
(5) None of these
Explanations : 25639 - 5252 - 3232 - 25639 -8484 = 17155
Directions (91-95) : What should come in place of the question mark (?) in the following number series?
91. 11. 1 5 13 29 ? 125 253
(1) 83
(2) 69
(3) 61 (Ans)
(4) 65
(5) 81
Explanations : SBI - QA - Qn Ans - 91
92. 12. 45 57 81 117 165 ?
(1) 235
(2) 215
(3) 205
(4) 245
(5) 225 (Ans)
Explanations : SBI - QA - Qn Ans - 92
93. 13.353 354 351 356 349 ?
(1) 348
(2) 358 (Ans)
(3) 338
(4) 385
(5) 340
Explanations : SBI - QA - Qn Ans - 93
94. 14. 1/4 1/2 3/4 1 1 1/4 1 1/2 1 3/4 ?
(1) 2 (Ans)
(2) 4
(3) 6
(4) 1 1/5
(5) 1 2/3
Explanations : SBI - QA - Qn Ans - 94
95. 15. 17 18 26 53 117 ? 458
(1) 342
(2) 142
(3) 257
(4) 262
(5) 242 (Ans)
Explanations : SBI - QA - Qn Ans - 95
96. 16.If the numerator of a certain fraction increased by 200% and the denominator is increased by 150% the new fraction thus formed is 9/10. What is the original fraction?
(1) 3/4 (Ans)
(2) 1/4
(3) 3/5
(4) 2/5
(5) None of these
Explanations : Let, the original fraction will be x/y
So, x * 300% = 9
y * 250% 10
⇒ x = 3
y 4
97.17. The average of five numbers is 49. The average of the first and the second numbers is 48 and the average of the fourth and fifth numbers is 28. What is the third number ?
(1) 92
(2) 91
(3) 95
(4) Cannot be determined
(5) None of these (Ans)
Explanations : Sum of five numbers = 5 * 49 = 245
Sum of first and second numbers = 2 * 48 = 96
Sum of fourth and fifth numbers = 2 * 28 = 56
So, the third number = 245 - 152 = 93
98. 18. 28% members of a certain group are married. What is the respective ratio between the number of married members to the number of
(1) 7 : 17
(2) 5 : 18
(3) 7 : 18 (Ans)
(4) Cannot be determined
(5) None of these
Explanations : Let, total members are 100
So, married members = 28
(and unmarried members = 100 - 28 = 72)
So, respective ratio = 28 : 72 = 7 : 18
99. 19. Mr. Khanna took a loan of Rs. 10,000/- on simple interest for two years at the rate 3 p.c.p.a. The total amount that he will be paying as interest in 2 years is 3% of his monthly salary. What is his monthly salary?
(1) Rs.30,000/-
(2) Rs.16,000/-
(3) Rs.20,000/- (Ans)
(4) Rs.12,000/-
(5) None of these
Explanations : S. I = P. R. T. = 10000 * 2 * 3 = 600 Rs.
100 100
Let, his salary will be x
So, x * 3/100 = 600
⇒ x = 20000 Rs.
100. 20.In how many different ways can the letters of the word 'SECOND' be arranged?
(1) 720 (Ans)
(2) 120
(3) 5040
(4) 270
(5) None of these
Explanations : Total words from Second
6P6 = SBI - QA - Qn Ans - 100 = 720
Directions (101-105) : Study the following table carefully and answer the questions that follow :
Number of employees from six different banks located in different cities,
M = Males, F = Females
| City | Agra | Delhi | Mumbai | Chennai | Patna | Kolkata | ||||||
| A | 553 | 224 | 254 | 456 | 457 | 388 | 114 | 378 | 234 | 120 | 353 | 325 |
| B | 673 | 116 | 346 | 256 | 346 | 456 | 124 | 235 | 241 | 156 | 348 | 174 |
| C | 443 | 500 | 366 | 345 | 124 | 456 | 235 | 388 | 350 | 234 | 399 | 439 |
| D | 534 | 454 | 478 | 285 | 235 | 235 | 255 | 175 | 124 | 165 | 358 | 234 |
| E | 256 | 235 | 256 | 166 | 574 | 599 | 324 | 198 | 124 | 334 | 125 | 235 |
| F | 556 | 357 | 346 | 287 | 589 | 190 | 189 | 256 | 155 | 181 | 278 | 192 |
101.21. What is the ratio of number of males to the number of females respectively Bank D from all the cities together?
(1) 496 : 387 (Ans)
(2) 487 : 356
(3) 422 : 385
(4) 486 : 397
(5) None of these
Explanations : Males in Bank D
= 534 + 478 + 235 + 255 + 124 + 358 = 1984
and Females in Bank D
= 454 + 285 + 235 + 175 + 175 + 165 + 234 = 1548
Respective ratio = 1984 : 1548
= 496 : 387
102.22. What is the ratio of the number of males to the number of females respectively in Patna from Bank A, Bank C and Bank E together?
(1) 175 : 173
(2) 177 : 173
(3) 177 : 172 (Ans)
(4) 175 : 172
(5) None of these
Explanations : Males in Patna from Bank A, C and E
= 234 + 350 + 124 = 708
and females in Patna from Bank A, C and E
= 120 + 234 + 334 = 688
Respective ratio = 708 : 688
= 177 : 172
103. 23.What is the approximate average of the number of the number of males working in all the banks together in Kolkata?
(1) 350
(2) 310 (Ans)
(3) 340
(4) 380
(5) 360
Explanations : Average males in all banks in Kolkata
= 353 + 348 + 399 + 358 + 125 + 278
6
= 1861 = 3101 = 310 approx
6
104. 24.The number of females in all the banks together in Delhi are approximately what percent of the number of males from all the banks together in the same city?
(1) 88 (Ans)
(2) 98
(3) 78
(4) 68
(5) 58
Explanations : Females of all banks in Delhi
= 456 + 256 + 345 + 285 + 166 + 287
= 1795
and males of all banks in Delhi
= 254 + 346 + 366 + 478 + 256 + 346 = 2046
approx % = 1795 * 100 = 87.73
2046
= 88%
105.25. The number of females in Bank B from Agra are what percent of the females in Bank C from the same city?
(1) 33.2
(2) 23.2 (Ans)
(3) 13.2
(4) 28.2
(5) None of these
Explanations : Females in Bank B from Agra = 116
and Females in Bank C from Agra = 500
approx. percentage = 116 * 100 = 23.2%
500
106.26. What is the value of (x) in the following equation?
images _SBI_ QA -Qno .106
(1) 17
(2) 19
(3) 16
(4) 14
(5) None of these (Ans)
Explanations : (x)0.7 / 36 = 9 / (x)1.3
⇒ x0.7 = x1.3 = 36 * 9
⇒ x2 = 36 * 9
⇒ x = 6 * 3
⇒ x = 18
107. 27.The average speed of a train is 3 times the average speed of a car. The car covers a distance of 520 kms in 8 hours. How much distance will the train cover in 13 hours?
(1) 2553 kms
(2) 2585 kms
(3) 2355 kms
(4) 2535 kms (Ans)
(5) None of these
Explanations : Speed of the car = 520/8 = 65 km/h
and speed of the train = 3 * 65 = 195 km/h
Distance covered by train in 13 hours
= 195 * 13 = 2535 kms
108. 28.The area of a triangle is half the area of a square. The perimeter of the square is 224 cms. What is the area of the triangle ?
(1) 1856 cm2
(2) 1658 cm2
(3) 1558 cm2
(4) 1586 cm2
(5) None of these (Ans)
Explanations : Perimeter of the square = 4 * side
⇒ 4 * side = 224
⇒ side = 56cm
Area of the square = (56)2 = 3136 cm2
So, Area of the triangle = 1/2 * 3136
= 1568 (cm)2
109.29.Yesterday Priti typed an essay of 5000 words at the speed of 60 words per minute. Today she typed the same essay faster and her speed was 15% more than yesterday. What is the approximate difference in the time she took to type yesterday and the time she took to type today?
(1) 20 minutes
(2) 30 minutes
(3) 10 minutes (Ans)
(4) 40 minutes
(5) 1 hour
Explanations : Yesterday time taken = 5000/60 = 83.3 minutes
Today speed of typing in per minute = 60 * 115/100 and time taken = 500/69 = 723 minutes
So, difference in time = 83.3 - 72.3
= 11 minutes
110. 30.How much will be the compound interest to be paid on a principle amount Rs. 85,000/- after 3 years at the rate of 6 p.c.p.a ?
(1) Rs. 16623.36/-
(2) Rs. 16236.36/- (Ans)
(3) Rs. 16326.36/-
(4) Rs. 16632.36/-
(5) None of these
Explanations : SBI - QA - Qn Ans - 110
= 85000 * 53 * 53 * 53 = 2530909
50 50 50 25
= 101236.36 Rs.
So, C.I = 101236.36 - 85000
= 16236.36
Direction (111-115) : What approximate value should come in place of the question mark (?) in the following questions ?
(Note : You are not expected to calculate the exact value.)
111. 31.635 * 455 ÷ 403 = ?
(1) 735
(2) 795
(3) 695
(4) 685
(5) 715 (Ans)
Explanations : 635 * 455 ÷ 403
= 635 * 455/403 = 288925/403 = 716.93
112. 32.3√5332 = ?
(1) 8
(2) 38
(3) 58
(4) 68
(5) 18 (Ans)
Explanations : 3√5332 = 3√2 * 2 * 133 = 17.64
113. 33.105.003 + 307.993 + 215.630 = ?
(1) 610
(2) 650
(3) 660
(4) 670
(5) 630 (Ans)
Explanations : 105.003 + 307.993 + 215.630
= 628.626
114. 34.5223 ÷ 36 * 0.93 = ?
(1) 135 (Ans)
(2) 125
(3) 145
(4) 155
(5) 115
Explanations : 5223/36 * 0.93
= 4857.39/36 = 134.92
115. 35. √2228 = ?
(1) 57
(2) 47 (Ans)
(3) 67
(4) 37
(5) 27
Explanations : √2228 = √2*2*557
= 2*23.6 = 47.2
Directions (116 -120) : Study the following graph carefully and answer the questions that follow :
SBI - QA - image -Qn 116-120 I
SBI - QA - image -Qn 116-120 II
116. 36.The number of females in the Marketing department are approximately what percent of the total employees in Marketing and Customer Relation Departments together?
(1) 26
(2) 36
(3) 6
(4) 46
(5) 16 (Ans)
Explanations : The number of females in the marketing department
= 2000 * 14/100 = 280
Total employees in marketing and customers relation department
4500 * 18/100 + 4500 * 22/100 = 810 + 990 = 1800
Aggreagcate % = 280 * 100/1800 = 15.5
117.37. The total number of females are what percent of the total number of males in the organization ?
(1) 90
(2) 70
(3) 80 (Ans)
(4) 60
(5) None of these
Explanations : Total females are 2000 and total males are 4500 - 2000 = 2500
Its % = 2000 * 100/2500 = 80%
118. 38.What is the ratio of number of males in HR department to the number of males in Accounts department respectively?
(1) 3 : 17
(2) 4 : 15
(3) 2 : 15 (Ans)
(4) 2 : 13
(5) None of these
Explanations : Males in H.R. department
= 4500 * 8/100 - 2000 * 16/100 = 360 - 320 = 40
and males in Accounts department
= 4500 * 12/100 - 2000 * 12/100
= 540 - 240 = 300
Its ratio = 40 : 300 = 2 : 15
119.39. What is the total number of males from Design, Customer Relation and HR departments together?
(1) 1550
(2) 1510 (Ans)
(3) 1540
(4) 1580
(5) None of these
Explanations : Total males in Design, Customer Relation and II.R. department
SBI - QA - Qn Ans - 119
= (1440 - 560) + (990 - 400) + (360 - 320)
= 880 + 590 + 40 = 1510
120.40. What is the respective ratio of number of employees in Administrative department to the number of males in the same department?
(1) 9 : 4 (Ans)
(2) 8 : 3
(3) 7 : 2
(4) 8 : 5
(5) None of these
Explanations : Employees in Administrative department = 4500 * 8/100 = 360
and Total males in Administrative department = 4500 * 8/100 - 2000 * 10/100 = 160
Respective ratio = 360 : 160 = 9 : 4
