## 14 Jul 2017

### Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-30)

Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-30):
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): In the following number series, a wrong number is given. Find out that wrong number.
1). 5003 × 99 - 194661 = ? × 126
2377
2386
2486
2586
2468
? = (5003 × 99 – 194661) / 126
= (495297 – 194661) / 126 = 300636 / 126 = 2386
2. [(6√11 + √11) × (7 √11 + 9 √11)] - (29)^2 = ?
402
110 √11
112 √11
391
389
? = 7 √11 × 16 √11 - 841
= 1232 - 841 = 391
3. 8 9/47 × 9 13/56 × 7 7/11 ÷ 2 4/9 – 6 3/5 = ?
488.4
420
223.6
413.6
229.65
? = 385 / 47 × 517 / 56 × 84 / 11 × 9 / 22 – 33 / 5
= 385 × 27 / 44 – 33 / 5 = (51975 – 1452) / 220
= 50523 / 220 = 229.65
4. √35721 × √4624 - (86)^2 = 543 + (?)^3
18
19
17
16
13
189 × 68 - (86)² - 543 = (?)3
or, 12852 - 7396 - 543 = (?)3
or, ? = ∛4913
? = 17
5). ? = 77.5% of 230 + 75% of 22 + 35% of 140
240.75
243.75
253.75
243.25
None of these
? = 77.5 × 230 / 100 + 75 × 22 / 100 + 35 × 140 / 100
= 178.25 + 16.5 + 49 = 243.75
Directions (6-10): What approximate value should come in place of the question mark (?) in the following questions?
6. (16)^(7.2) ÷ (4096)^(1.6) × (65536)^(–1.2) ÷ (1048576)^(–1) = (16)^?
2.4
2.8
3
2.6
3.2
(16)^? = (16)^7.2 ÷ (16^3)^1.6 × (164)^(-1.2) ÷ (16^5)^(-1)
= (16)^7.2 ÷ 16^4.8 × 16^(-4.8) ÷ 16^(-5)
= (16)^(7.2 - 4.8 - 4.8 + 5) = (16)^(12.2 – 9.6) = 16^2.6
? = 2.6
7. 45.5% of 1160 + 13.5% of 720 = ?% of 6000
6
9.32
10.42
5
12
6000 × ?/100 = 45.5 × 11.6 + 13.5 × 7.2
= 527.8 + 97.2 = 625
? = 625 × 100 / 6000 = 10.42%
8. (77777 ÷ 700) + (6455 ÷ 250) + (3991 ÷ 26) = ?
290.43
390.41
295.33
288.42
None of these
? = 77777 / 700 + 6455 / 250 + 3991 / 26
? = 11111/100 + 1291/50 + 307/2
= (11111 + 2582 + 15350) / 100
= 29043/100 = 290.43
9. {6^(3.6) ÷ (36)^(-4.2)}^(1/4) = √?
41616
43264
44944
46656
47524
√? = {6^(3.6) ÷ (6^2 )^(-4.2) }^(1/4)
= {63.6 / 6^(-8.4) }^1/4 = {6^(3.6 + 8.4) }^(1/4)
= {6^12}^(1/4) = 6³ = 216
? = (216 × 216) = 46656
10. 23564 × 275 - 430100 = ? × 605
10^3
101000
10000
10^6
102000
? = (23564 × 275 – 430100) / 605
= (6480100 – 430100) / 605
= 6050000 / 605 = 10000 = 10^4
11. 78% of 810 + 26% of 735 - 619.29 = ?
104
240
204
230
194
? = 78 × 810 / 100 + 26 × 735 / 100 - 619.29
= 631.8 + 191.1 - 619.29
≈ 632 + 191 - 620
= 823 - 620 = 203 ≈ 204
12. (692.478)^2 + (305.2)^2 - (367.654)^2 = ?
43646
436465
463465
363465
435465
? ≈ (692)² + (305)² - (368)²
= 478864 + 93025 - 135424
= 436465
13. ∛6859 ÷ 0.189 + 23% of 4200 + ?% of 520 =1555.66
94
98
100
84
90
∛6859 ÷ 0.189 + 23% of 4200 + ?% of 520 = 1555.66
or, 19 / 0.19 + 23 × 4200 / 100 + ? × 520 / 100 ≈ 1556
or, 100 + 966 + ? × 520 / 100 = 1556
or, ? × 520 / 100 = 1556 - 1066 = 490
or, ? = 490 × 100 / 520 = 94.23 ≈ 94
14. 6780 ÷ 240 × 35 = ? × 3.75
285
295
275
265
365
? × 3.75 = 6780 / 240 × 35
= 28.25 × 35 = 988.75
? = 988.75 / 3.75 = 263.66 ≈ 265
15. 13.275 × 15.485 + 2.29/69 of 4.83 + 189.25 = ?
490
590
492
382
392
? = 13 × 15.5 + 2.29 / 69 × 4.83 + 189.25
= 201.5 + 2.3 × 0.07 + 189.25
= 201.5 + 0.161 + 189.25
= 390.91 ≈ 392
Directions (16-20): What should come in place of the question mark (?) in the following questions?
16. 3969 × 63 - √4225 - (274625)^(1/3) + 35 - 38.042 - 0.981 + 0.63 = ?
215354
292769
250013
249914
285412
3969 × 63 - √4225 - (274625)^(1/3) + 35 - 38.042 - 0.981 + 0.63 = ?
≈ 250047 - 65 - 65 + 35 - 38 - 0.9 + 0.6
= 249913.7 ≈ 249914
17. 28.95 × 7.26 + 34/16 – 23/12 × 2 + 2 5/11 - (0.34 × 2.11) = ?
310
322
290
125
210
? = 28.95 × 7.26 + 34/16 – 23/6 + 27/11 - 0.34 × 2.11
? ≈ 210 + 2 - 4 + 2.5 - 0.7
= 209.8 ≈ 210
18. 98% of 98989 - 78% of 43549 + 64% of 75892 + 34.095 = ?
65328
111645
111465
169235
110645
? = 98/100 × 98989 – 78/100 × 43549 + 64/100 × 75892 + 34.095
≈ 97009 - 33968 + 48570 + 34 = 111645
19. 707 × 111 + 601 × 222 + 501 × 333 - 51 × 11 - 61 × 22 - 0.39 = ?
376829
233215
378729
295242
283122
? = 707 × 111 + 601 × 222 + 501 × 333 - 51 × 11 – 61 × 22 - 0.39
= 78477 + 133422 + 166833 - 561 - 1342 -0.39
= 376828.6 ≈ 376829
20. √79 × √81 - √15 + √16 + (35.07 × 3.21) = ? + 5.91
124
140
110
130
150
√79 + √81 - √15 + √16 + (35.07 × 3.21) = ? + 5.91
or, 8.9 + 9 - 3.9 + 4 + 112 = ? + 5.91
? = 8.9 + 9 + 4 + 112 - 3.9 - 5.91 ≈ 124
21. 1015, 508, 255, 129, 66.5, ?, 20.875
34.50
35
35.30
35.75
None of these
The series is ÷ 2 + 0.5, ÷ 2 + 1, ÷ 2 + 1.5, ÷ 2 + 2, ÷ 2 + 2.5,…..
22. 586, 587, 586, 581, 570, ?, 522
545
543
551
557
None of these
The difference of difference of the series is -2, -4, -6, -8, - 10,…..
23. 435, 354, 282, 219, 165, ?
103
112
120
130
None of these
The difference between the numbers is -81, -72, -63, -54, -45,…..
24. 325, 314, 288, 247, 191, ?
126
116
130
120
None of these
The difference of difference of the series is, 15, 15, 15, 15,..
25. 6, 4, 8, 23, ?, 385.25
84.5
73
78.5
82
None of these
The series is, x 0.5 + 1, x 1.5 + 2, x 2.5 + 3, x 3.5 + 4, x 4.5 + 5

Directions (26-30): In the following questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer.
a). X > Y
b). X < Y
c). X ≥ Y
d). X ≤ Y
e). X = Y or relation cannot be established
26) I. 2x² + 20x + 50 = 0
II. 2y² + 22y + 56 = 0

a)
b)
c)
d)
e)
2x² + 20x + 50 = 0
x² + 10x + 25 = 0
x = -5, -5
2y² + 22y + 56 = 0
y = -4, -7
Therefore, relation cannot be established
27) I. 2x² – 13x + 21 = 0
II. y² – 33y + 272 = 0

a)
b)
c)
d)
e)
2x² – 13x + 21 = 0
x = 3.5, 3
y² – 33y + 272 = 0
y = 16, 17
Therefore, x < y
28) I. x² – 29x + 208 = 0
II. y² + 9y + 14 = 0

a)
b)
c)
d)
e)
x² – 29x + 208 = 0
x = 13, 16
y² + 9y + 14 = 0
y = -2, -7
Therefore, x > y
29) I. x² – 25x + 156 = 0
II. y² – 65y + 676 = 0

a)
b)
c)
d)
e)
x² – 25x + 156 = 0
x = 13, 12
y² – 65y + 676 = 0
y = 13, 52
Therefore, y ≥ x
30) I. 2x² – 7x + 6 = 0
II. 2y² – 9y + 10 = 0

a)
b)
c)
d)
e)