## 1 Jul 2017

### Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-18)

Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-18):
Dear Readers, Nowadays most of the aspirants are facing huge trouble to increase the overall marks. To score high you need to practice more and more standard questions daily. “Practice does not make perfect, Only Perfect Practice makes perfect”.

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Direction (1-10): What value should come in place of question mark (?) in the following questions?
1).(2401)^(3/4) ÷ 1/343 ÷ (49)^(7/2) = (7)^?
-2
-1
1
2
3
(7^4)^(3/4) ÷ 7^(-3) ÷ 7^7 = 7^?
or, 7^3 ÷ 7^(-3) ÷ 7^7 = 7^?
or, 7^(3+3-7) = 7^?
or, 7^(-1) = 7^?
? = - 1
2. 28.2% of 125 + 7.8% of 175 = 20% of ?
242.5
243.5
244.5
245.5
246.5
? × 20 / 100 = 28.2 × 125 / 100 + 7.8 × 175 / 100
? × 20 / 100 = 35.25 + 13.65 = 48.9
? = 5 × 48.9 = 244.5
3. ³√17576 × 676 ÷ ³√(2197)^3 = (4096)^(?/8)
2
4
6
1
3
(263)^(1/3) × (26)² ÷ 2197 = (4096)^(?/8)
26 × (26)² ÷ (13)³ = (4096)^(?/8)
(26/13)³ = (4096)^(?/8)
Let ? = x
8^1 = (4096)^(x/8) = 8^(4x/8) = 8^(x/2)
1 = x/2
x=2

4. 252252 ÷ ? = 63 × 77
48
49
50
51
52
252252 ÷ ? = 63 × 77
? = 252252 / (63 × 77)
? = 252252/4851 = 52

5). 125% of 225% of 7 / 6 of 4128 = ?
13525
13535
13545
13555
13565
? = 125 × 225 × 7 × 4128 / (100 × 100 × 6) = 13545

6. 7.12% of 8500 - 3.6% of 5500 = 1.6% of?
25410
25420
25430
25440
25450
? = {(7.12 × 8500 /100) – (3.6 × 5500 /100)} × 100/1.6
? = (605.2 -198) × 100 /1.6
? = 407.2 ×100 /1.6 = 25450

7. 13/17 of 12/19 of 47% of 40375 = ? × 6
1525.5
1527.5
1528.5
1529.5
1530
? = 13 × 12 × 47 × 40375 / (17 × 19 × 100 × 6)
? = 1527.5

8. 4608 / ? = ? / 5202
4816
4848
4872
4896
4904
(?)² = 4608 × 5202
? = √(16 ×17 × 18)2 = 16 × 17 × 18 = 4896
9. (142.8 ÷ 2.4) × 7.5 ÷ 0.15 = ?
2725
2850
2975
3025
3150
? = 59.5 × 7.5 ÷ 0.15 = 2975

10. (7.2)^3.2 × 1 / (7.2)^1.6 ÷ (51.84)^(-1.8) × (51.84)^(-1.2) = (7.2)^?
2.4
2.8
-1.2
-2.4
None of these
(7.2)^? = (7.2)^(3.2) × (7.2)^(-1.6) ÷ (7.2)^(-3.6) × (7.2)^(-2.4)
(7.2)^? = (7.2)^(3.2 - 1.6 + 3.6 - 2.4) = (7.2)^(2.8)
? = 2.8

Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
11. 127% of 75 + 28% of 277 = ?
162
173
181
187
None of these
? = 127 × 75 / 100 + 28 × 277 / 100
? = 95.25 + 77.56
? = 172.81 ≈ 173

12. ((0.18)^2 + (1.6)2)) / 0.08 = ?
24
28
32
36
40
? ≈ (0.0324 + 2.56) / 0.08
? = 2.5924 / 0.08
? = 32.4 ≈ 32
13. (59.842 ÷ 1.982) × 6.97 - 17.77 × 3.2 = ?
115
135
105
155
165
? ≈ (60 ÷ 2) × 7 - 18 × 3
? = 210 - 54 = 156 ≈ 155
14. ³√1330000 = ?
103
110
117
120
128
(110)³ = 1331000 ≈ 1330000
15. {(7878 + 333 + 632) - (11.9 × 2.1 × 7.09)} × 2.532 = ?
19600
20100
21700
22800
23000
? ≈ {8843 -(12 × 2 × 7)} × 2.5
? = (8843 - 168) × 2.5 = 8675 × 2.5
? = 21687.5 ≈ 21700
16. 159 × 16 × ? = 20300
6
8
10
12
15
? = 20300 / (159 × 16)
? = 7.979 ≈ 8
17. (141.98 × 72.02) ÷ √1300 = ?
215
245
285
325
355
? = 142 × 72 /36
? = 284 ≈ 285
18. 2.81% of 1724.98 + 1.739% of 555.05 = ?
24
39
58
72
84
? ≈ 2.8 × 1725 / 100 + 1.74 × 555 / 100
? = 48.3 + 9.657 = 57.957 ≈ 58

19. (1369.876 + 18.98 × 19.98) ÷ 24.96 = ?
70
90
110
130
150
? ≈ (1370 + 19 × 20) / 25
? = (1370 + 380) / 25
? = 1750 / 25 = 70

20.(7391.9 ÷ √1935) + (17.98 × 4.49) = ?
200
225
250
275
300
? ≈ 7392 / 44 + 18 × 4.5
? = 168 + 81 = 249 ≈ 250
Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number. 21. 1730, 1242, 856, 560, ?
484
342
298
306
None of these
The series is,
(10³ +9³) + 1 = 1730
(9³ +8³) + 1 = 1242
(8³ +7³) + 1 = 856
(7³ +6³) + 1 = 560
(6³ +5³) + 1 = 342

22. 10648, 9261, 15625, 9261, ?
11648
12824
8569
12468
None of these
The series is,
(2³ x 11³) = 10648
(3³ x 7³) = 9261
(5³ x 5³) = 15625
(7³ x 3³) = 9261
(11³ x 2³) = 10648

23. 999, 973, 875, 657, ?
455
396
523
271
None of these
The series is 1000 - 1³, 1000 - 3³, 1000 - 5³,1000 - 7³, 1000 - 9³
24. 157, 284, 375, ?, 473
436
439
443
449
None of these
The series is, 500 – 7³, 500 – 6³, 500 – 5³, 500 – 4³, 500 – 3³

25. 1, 9, 35, 91, ?, 341
284
103
189
127
271
The series is, 0³+1³, 1³+2³, 2³+3³, 3³+4³, 4³+5³, 5³+6³

Direction (26-30): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and given answer:
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.
26. I. x^2 + 18x + 72 = 0
II. y^2 + 6y + 8 =0

a)
b)
c)
d)
e)
I. x² + 18x + 72 = 0
or, x² + 12x + 6x + 72 =0
or, x(x + 12) + 6(x + 12) = 0
x = -6, -12
II. y² + 6y + 8 =0
or, y² + 4y + 2y + 8 =0
or, y(y + 4) + 2(y + 4) = 0
y = -2, -4
Hence x < y

27.I. 8x^2 – 22x + 15 = 0
II. 3y^2 – 13y + 14 = 0

a)
b)
c)
d)
e)
I. 8x² – 22x + 15 = 0
or, 8x² - 12x - 10x + 15 = 0
or, 4x(2x - 3) - 5(2x - 3) = 0
or, (4x - 5) (2x - 3) = 0
x = 5/4, 3/2
II. 3y² – 13y + 14 = 0
or, 3y² - 6y - 7y + 14 =0
or, 3y(y - 2) - 7(y - 2) = 0
or, (3y - 7) (y - 2) = 0
y = 7/3, 2
Hence x < y
28. I. 9x^2 – 26x + 16 = 0
II. 3y^2 – 16y + 20 = 0

a)
b)
c)
d)
e)
I. 9x² – 26x + 16 = 0
or, 9x² - 18x - 8x + 16 = 0
or, 9x(x - 2) - 8(x - 2) = 0
or, (9x - 8) (x - 2) = 0
x = 8/9, 2
II. 3y² – 16y + 20 = 0
or, 3y² - 6y - 10y + 20 =0
or, 3y(y - 2) - 10(y - 2) = 0
or, (3y - 10) (y - 2) = 0
y = 2, 10/3
Hence x ≤ y
29. I. 10x^2 – 17x + 7 = 0
II. 15y^2 – 19y + 6 = 0

a)
b)
c)
d)
e)
I. 10x² – 17x + 7 = 0
or, 10x² - 10x - 7x + 7 = 0
or, 10x(x - 1) - 7(x - 1) = 0
or, (10x - 7) (x - 1) = 0
x = 7/10, 1
II. 15y² – 19y + 6 = 0
or, 15y² - 10y - 9y + 6 =0
or, 5y(3y - 2) – (3y - 2) = 0
or, (3y - 2) (5y - 3) = 0
y = 3/5, 2/3
Hence x > y
30. I. 12x^2 + 19x + 5 = 0
II. 5y^2 + 16y + 3 = 0

a)
b)
c)
d)
e)
I. 12x² + 19x + 5 = 0
or, 12x² + 4x + 15x + 5 =0
or, 4x(3x + 1) + 5(3x + 1) = 0
or, (4x + 5) (3x + 1) = 0
x = -5/4, -1/3
II. 5y² + 16y + 3 = 0
or,5y² + 15y + y + 3 =0
or, 5y(y + 3) + 1(y + 3) = 0
or, (5y + 1) (y + 3) = 0
y = -1/5, -3
Hence no relationship can be established.

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