Directions (1 – 15): What will come at the place of question (?) marks:
1. (318 × 48) ÷ (12 × ?) + 12.8 × 5 – 33 = 142
a) 13
b) 8
c) 9
d) 17
e) 22
Numerical Ability (11 - 06 - 2021) || MSR Classes
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Numerical Ability (09 - 06 - 2021) || MSR Classes
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Directions (1 – 10): What will come in place of question mark (?) in the given question ?
1. √1849 + √441 = 2(16 - ?)
a) 14
b) 6
c) 8
d) 12
e) 10
2. √(108 × 6 + 98 – 121) = ?2
a) 4
b) 3
c) 7
d) 8
e) 5
3. 60% of 540 + 45% of ? = 468
a) 360
b) 280
c) 320
d) 340
e) 300
4. (625.75 + 450.5 + ?) × 3/5 = 750
a) 173.75 b) 156.75
c) 167.25 d) 163.25
e) 176.25
5. 20% of 225 + 75 = ?% of 150
a) 70
b) 75
c) 90
d) 80
e) 85
6. 60 ÷ 1.8 × 54 - ? = 1260
a) 460
b) 570
c) 560
d) 480
e) 540
7. (4/7 + 1 3/7 + 3/4) of ? = 693
a) 252
b) 308
c) 224
d) 364
e) 196
8. 82 × 72 ÷ √196 – 143 = 3?
a) 4
b) 5
c) 2
d) 3
e) 6
9. (2 2/3 × 6 3/4) + ? = 33
a) 9
b) 19
c) 11
d) 7
e) 18
10. (0.4 × 450) ÷ 4 = 5 × 3?
a) -2
b) 3
c) 2
d) 1
e) -3
Directions (11 – 15): What approximate value will come in place of the question mark (?) in the following question?(Note: You are not expected to calculate the exact value.)
11. 18.39% of 499.78 + 24.68% of 800.25 = ? × 1.86
a) 230
b) 145
c) 180
d) 90
e) 50
12. (1199.68 ÷ 19.85) × 4.76 = ?2 – 99.68
a) 75
b) 50
c) 35
d) 20 e) 8
13. (23.85 × 49.98) – (39.68 × 24.87) = ? × 4.66
a) 40
b) 75
c) 140
d) 240
e) 190
14. (41.782 – 39.87% of 2500) + 36.18 = ?
a) 940
b) 700
c) 600
d) 500
e) 800
15. 24.69% of 15.12% of 1999.52 = ? + 14.87
a) 120
b) 8
c) 60
d) 192
e) 264
Directions (16 – 20) : What will come in place of the question mark (?) in the given number series ?
16. 3 4 9 28 113 ?
a) 534
b) 492
c) 528
d) 486 e) 566
17. 220 229 211 247 ? 319
a) 175
b) 159
c) 164
d) 185
e) 193
18. 18 37 75 132 ? 303
a) 239
b) 242
c) 219
d) 208
e) 227
19. 220 108 52 24 10 ?
a) 0.5
b) 4
c) 3
d) 2
e) 5
20. 24 ? 12 18 36 90
a) 8
b) 12
c) 9
d) 6
e) 4
Directions (21 – 25): In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.
21. I. 3X2 – 7X + 2 = 0
II. 6Y2 – 19Y + 13 = 0
a) Y > X
b) X > Y
c) X ≤ Y
d) X ≥ Y
e) X = Y or no relation can be established
22. I. x2 − 12x + 35 = 0
II. y2 − 13y + 40 = 0
a) Y > X
b) X > Y
c) X ≤ Y
d) X ≥ Y
e) X = Y or no relation can be established
23. I. a2 + 2a + 1 = 0
II. b2 = 4
a) Y > X
b) X > Y
c) X ≤ Y
d) X ≥ Y
e) X = Y or no relation can be established
24. I. a2 – 5a + 6 = 0
II. 2b2 – 13b + 21 = 0
a) Y > X
b) X > Y
c) X ≤ Y
d) X ≥ Y
e) X = Y or no relation can be established
25. I. 6x2 – 5x + 1 = 0
II. 4y2 + 3y – 1 = 0
a) Y > X
b) X > Y
c) X ≤ Y
d) X ≥ Y
e) X = Y or no relation can be established
Numerical Ability (08 - 06 - 2021) || MSR Classes
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Directions (1 – 10): What value will come in place of question mark (?)
1. √196 × √121 × √64 = 7 × ?
a) 186
b) 176
c) 144
d) 206
e) 175
2. 125% of 300 + 3√64 ÷ 8 + 13 ÷ 2 = ?
a) 382
b) 482
c) 440
d) 372
e) 354
3. 40% of 45% of 30% of 1200 = ? ÷ 5
a) 350
b) 308
c) 364
d) 324
e) 375
4. (20% of 250 + 30% of 820) ÷ 4 + 26 = 10 × ?
a) 25 b) 32
c) 10 d) 8
e) 20
5. 162 + √1936 = 3 × ?
a) 110
b) 200
c) 120
d) 250
e) 100
6. 600% of 15 + 225% of 20 = ?2 – 34
a) 15
b) 18
c) 28
d) 13
e) 17
7. (24 ÷ 8 + 17) × 6 ÷ 15 = ?
a) 17
b) 11
c) 7
d) 18
e) 8
8. √361 + √289 = 11 + √?
a) 675
b) 476
c) 625
d) 876
e) 695
9. (118 × 153 ÷ 9 + 14) ÷ 3√8000 = ?
a) 111
b) 181
c) 576
d) 101
e) 211
10. (11.5)2 – (4.2)2 – 23 = ?2 – 8.39
a) 4
b) 6
c) 8
d) 10
e) 12
Directions (11 – 15): Find out the missing terms in given series below.
11. 10, 15, 26, 35, 50, ?
a) 61
b) 62
c) 63
d) 64
e) 65
12. 19, 28, 46, 73, ? 154
a) 95
b) 93
c) 106
d) 109 e) 115
13. 1, 1, 2, 6, 24, 120, ?
a) 720
b) 760
c) 790
d) 716
e) 726
14. 14, 17, 13, 18, 12, 19, ?
a) 11
b) 12
c) 16
d) 15
e) 18
15. 4, 13, 29, 54, 90, ?
a) 142
b) 133
c) 154
d) 143
e) 139
Directions (16 – 20): In the given series one number is wrong, find the wrong number.
16. 3, 53, 153, 302, 503, 753, 1053
a) 503
b) 302
c) 153
d) 1053 e) 753
17. 18, 29, 47, 77, 123, 199, 322
a) 77
b) 47
c) 29
d) 123
e) 199
18. 168, 672, –2352, –7056, 17940, 35280
a) 672
b) –2352
c) –7056
d) 17940
e) 168
19. 48, 53, 56, 63, 72, 83, 96
a) 56
b) 53
c) 63
d) 96
e) 83
20. 120, 240, 140, 210, 160, 200, 180
a) 240
b) 180
c) 210
d) 140
e) 160
Directions (21 – 25): Solve the given quadratic equations and mark the correct option based on your answer.
21. I. x2 + 13x + 36 = 0
II. y2 + 10y + 21 = 0
a) if x > y
b) if x ≥ y
c) if x < y
d) if x ≤ y
e) if x = y or no relation can be established between x and y.
22. I. x3 + 8000 = 0
II. 2y2 – 800 = 0
a) if x > y
b) if x ≥ y
c) if x < y
d) if x ≤ y
e) if x = y or no relation can be established between x and y.
23. I. x2 – 14x + 33 = 0
II. y2 – 25y + 156 = 0
a) if x > y
b) if x ≥ y
c) if x < y
d) if x ≤ y
e) if x = y or no relation can be established between x and y.
24. I. 2x2 – 21x + 54 = 0
II. y2 – 7y + 12 = 0
a) if x > y
b) if x ≥ y
c) if x < y
d) if x ≤ y
e) if x = y or no relation can be established between x and y.
25. I. x2 – 17x + 42 = 0
II. y2 – 8y + 15 = 0
a) if x > y
b) if x ≥ y
c) if x < y
d) if x ≤ y
e) if x = y or no relation can be established between x and y.
Numerical Ability (07 - 06 - 2021) || MSR Classes
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Directions (1 – 10): What will come in place of question mark (?) in the given question ?
1. 60% of ? – 152 = 255
a) 800
b) 900
c) 700
d) 850
e) 750
2. (1/8)4 × 4? = 16
a) 6
b) 10
c) 9
d) 7
e) 8
3. 1 3/5 + 7/10 + ? = 5 1/10
a) 3 1/5
b) 2 4/5
c) 2 2/5
d) 2 1/5
e) 1 9/10
4. 8/15 × ? + 450 ÷ 9 = 122
a) 120 b) 105
c) 165 d) 150
e) 135
5. 80 – 84 ÷ 7 – ? ÷ 3 = 38
a) 90
b) 72
c) 84
d) 75
e) 96
6. 182 ÷ 6 × 0.4 = ?
a) 19.2
b) 20.4
c) 21.6
d) 18.8
e) 19.6
7. √? × 4.5 = 122
a) 900
b) 787
c) 1024
d) 1156
e) 1296
8. 5.6 × 2.5 – 9.9 = ?
a) 4.3
b) 4.1
c) 4.8
d) 5.1
e) 3.9
9. 16 × 15 – 8 × 13 = ?
a) 126
b) 136
c) 138
c) 128
e) 131
10. 15% of (250 + ?) = 63
a) 160
b) 190
c) 180
d) 150
e) 170
Direction (11 – 15): What approximate value will come in place of the question mark (?) in the given question ? (You are not expected to calculate the exact value)
11. √(319.88 × 2.995 – 49.992) = ?
a) 30
b) 15
c) 40
d) 10
e) 20
12. 3119 ÷ 6.08 + 9.02 × 29.99 = ?
a) 670
b) 710
c) 850
d) 690 e) 790
13. 279.86 – 4.05 × 14.99 = 660.18 ÷ ?
a) 3
b) 11
c) 8
d) 2
e) 6
14. 129.979 × 4.98 + 125.12 – 75.01 = ?
a) 750
b) 800
c) 600
d) 650
e) 700
15. ?% of (841 ÷ 12) = 6.992
a) 75
b) 90
c) 50
d) 30
e) 70
Directions (16 – 20) : What will come in place of question mark (?) in the given number series ?
16. 5.5 11 33 132 ? 3960
a) 528
b) 640
c) 660
d) 800 e) 740
17. 7 6 10 27 104 ?
a) 520
b) 515
c) 510
d) 525
e) 505
18. 56 68 61 73 66 ?
a) 77
b) 80
c) 76
d) 78
e) 81
19. 189 ? 45 21 9 3
a) 96
b) 99
c) 94
d) 88
e) 93
20. 80 78.7 76.1 72.2 67 ?
a) 60.5
b) 62
c) 59
d) 60
e) 61.5
Directions (21 – 25): In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.
21. I. x2 – 9x – 52 = 0
II. y2 + 22y + 105 = 0
a) x > y
b) x < y
c) x = y or the relationship cannot be established
d) x ≥ y
e) x ≤ y
22. I. x2 – 15x – 54 = 0
II. y2 – 10y – 96 = 0
a) x > y
b) x < y
c) x = y or the relationship cannot be established
d) x ≥ y
e) x ≤ y
23. I. x2 + 21 = 142
II. y3 - √1764 = 1289
a) x > y
b) x < y
c) x = y or the relationship cannot be established
d) x ≥ y
e) x ≤ y
24. I. 2x2 + 24x + 54 =0
II. 3y2 - 21y+ 36 = 0
a) x > y
b) x < y
c) x = y or the relationship cannot be established
d) x ≥ y
e) x ≤ y
25. I. 3x2 + 12x - 63 =0
II. y2 - 16y + 63 = 0
a) x > y
b) x < y
c) x = y or the relationship cannot be established
d) x ≥ y
e) x ≤ y
