IBPS clerical Numerical ability questions
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IBPS bank po clerical and specialists officers Quantitative Aptitude
Directions (Q. Nos.1 to 5) What will come in place of question mark (?) in the following questions?
1. 348 ÷ 29 x 15 + 156 = (?)3 + 120
(1) 12
(2) 6 (Ans)
(3) 36
(4) 9
(5) None of these
Ans : 348 ÷ 29 x 15 + 156 = (?)3 + 120
⇒ 12 x 15 + 156 = (?)3 + 120
⇒ 180 + 156 - 120 = (?)3
⇒ 216 = (?)3
⇒ (6)3 = (?)3
∴ ? = 6
2. (4 x 4)3 ÷ (512 ÷ 8)4 x (32 x 8)4 = (2 x 2)? + 4
(1) 8
(2) 12
(3) 6 (Ans)
(4) 14
(5) None of these
Ans : (4 x 4)3 ÷ (512 ÷ 8)4 x (32 x 8)4 = (2 x 2)? + 4
⇒ (16)3 ÷ (64)4 x (256)4 = (4)? + 4
⇒ (4)2x3 ÷ (4)3x4 x (4)4x4 = (4)? + 4
⇒ (4)6 ÷ (4)12 x (4)16 = (4)? + 4
⇒ (4)6-2+16 = (4)? + 4
⇒ (4)10 = (4)? + 4
⇒ 10 = ? + 4
∴ ? = 6
3. (2√392 - 21) + (√8 - 7)2 = (?)2
(1) 4
(2) -4
(3) 12
(4) 2
(5) 6 (Ans)
Ans : (2√392 - 21) + (√8 - 7)2 = (?)2
⇒ (2 x 14√2 - 21) + (√8 - 7)2 = (?)2
⇒ 28√2 - 21 + (√8)2 - 2 x √8 x 7 + (7)2 = (?)2
⇒ 28√2 - 21 + 8 - 28√2 + 49 = (?)2
⇒ - 21 + 8 + 49 = (?)2
⇒ 36 = (?)2
∴ ? = 6
4. 1 1/4 + 1 1/6 - 1 1/8 = ? + 1 1/12
(1) 5/24 (Ans)
(2) 7/24
(3) 5/12
(4) 7/12
(5) None of these
Ans : 1 1/4 + 1 1/6 - 1 1/8 = ? + 1 1/12
⇒ 1 1/4 + 1 1/6 - 1 1/8 - 1 1/12 = ?
⇒ (1 + 1 - 1 - 1) + (1/4 + 1/6 - 1/8 - 1/12) = ?
⇒ 0 + (6 + 4 - 3 - 2/24) = ? ⇒ 0 + 5/24 = ?
∴ ? = 5/24
5. 76% of 1285 = 35% of 1256 + ?
(1) 543
(2) 537 (Ans)
(3) 547
(4) 533
(5) None of these
Ans : 76% of 1285 = 35% of 1256 + ?
⇒ 976.6 = 439.6 + ?
⇒ 976.6 - 439.6 = ?
∴ ? = 537
Directions (Q. Nos. 6 to 10) What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value)
Solutions (106 to 110)
You can take approximate value of any number
6. 499.99 + 1999 ÷ 39.99 x 50.01 = ?
(1) 3200
(2) 2700
(3) 3000 (Ans)
(4) 2500
(5) 2400
Ans : 499.99 + 1999 ÷ 39.99 x 50.01 = ?
500 + 2000 ÷ 40 x 50 = ?
500 + 50 x 50 = ?
500 + 2500 = ?
3000 = ?
7. [(7.99)2 - (13.001)2 + '(4.01)3]2 = ?
(1) -1800
(2) 1450
(3) -1660
(4) 1660 (Ans)
(5) -1450
Ans : [(7.99)2 - (13.001)2 + '(4.01)3]2 = ?
⇒ [(8)2 - (13)2 + (4)3]2 = ?
⇒ [64 - 169 + 64]2 = ?
⇒ (-41)2= ?
∴ ? = 1681 (?- x - ⇒ +)
≈ 1660
8. 601/49 x 399/81 ÷ 29/201 = ?
(1) 520
(2) 360
(3) 460
(4) 500
(5) 420 (Ans)
Ans : 601/49 x 399/81 ÷ 29/201 = ?
⇒ 601/49 x 399/81 x 201/29 = ?
⇒ 600/50 x 400/80 x 200/30 = ?
∴ 400 = ?
420 ≈ ?
9. 441.01 - 232.99 + 1649.99 = ? + 1225.92
(1) 600
(2) 630 (Ans)
(3) 660
(4) 690
(5) 720
Ans : 441.01 - 232.99 + 1649.99 = ? + 1225.92
⇒ 441 - 233 + 1650 - 1226 = ?
⇒ 2091 - 1459 = ?
∴ ? = 623 ≈ 630
10. (21.5% of 999)1/3 + (43% of 601)1/2 = ?
(1) 18
(2) 22 (Ans)
(3) 26
(4) 30
(5) 33
Ans : (21.5% of 999)1/3 + (43% of 601)1/2 = ?
(1000 X 21.5%)1/3 + (600 X 43%)1/2 = ?
(215)1/3 + (258)1/2 = ?
(216)1/3 + (256)1/2 = ?
(6)3X1/3 + (16)2X1/2 = ?
6 + 16 = ?
22 = ?
Directions (Q. Nos. 11 to 15) What will come in place of question mark (?) in the following number series?
11. 15 21 39 77 143 (?)
(1) 243
(2) 240
(3) 253
(4) 245
(5) None of these (Ans)
Ans : - Solutions - Qn Ans -111
12. 33 39 57 87 129 (?)8
(1) 183 (Ans)
(2) 177
(3) 189
(4) 199
(5)
Ans : Solutions - Qn Ans -112
13. 15 19 83 119 631 (?)
(1) 731 (Ans)
(2) 693
(3) 712
(4) 683
(5) None of these
Ans : Solutions - Qn Ans -113
14. 19 26 40 68 124 (?)
(1) 246
(2) 238
(3) 236 (Ans)
(4) 256
(5) None of these
Ans :Solutions - Qn Ans -114
15. 43 69 58 84 73 (?)
(1) 62
(2) 98
(3) 109
(4) 63
(5) None of these (Ans)
Ans : Solutions - Qn Ans -115
Directions (Q. Nos. 16 to 20) In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer
(1) if x > y
(2) if x ≥ y
(3) if x < y
(4) if x ≤ y
(5) if x = y or the relationship cannot be established
Ans :
16. I. x2 - 11x + 24 = 0
II. 2y2 - 9y + 9 = 0
Ans :2 I. x2 - 11x + 24 = 0
x2 - 8x - 3x + 24 = 0
x (x - 8) - 3 (x - 8) = 0
(x - 8)(x - 3) = 0
∴ x = 8 or 3
II. 2y2 - 9y + 9 = 0
2y2 - 6y - 3y + 9 = 0
2y(y - 3) - 3 (y - 3) = 0
(2y - 3) (y - 3) = 0
∴ y = 3/2 or 3
So, x ≥ y
17. I. x3 * 13 = x2 * 247
II. y1/3 * 14 = 294 ÷ y2/3
Ans :3 I. x3 * 13 = x2 * 247
or x3 / x2 = 247/13
x = 19
II. y1/3 * 14 = 294 ÷ y2/3
or, (y)1/3 * (y)2/3 = 294/14
or, (y)1/3+2/3 = 21
∴ y = 21
So, y > x
18. I. 12 * 4 / x4/7 - 3 * 4 / x4/7 = x10/7
II. y3 + 783 = 999
Ans : 4 I. 12 * 4 / x4/7 - 3 * 4 / x4/7 = x10/7
or, 48 - 12 = (x)10/7 * (x)4/7
or, 36 = (x)7 = (x)2
∴ x = ±6
II. y3 + 783 = 999
y3 = 999 - 783
y3 = 216
