## 2 Jul 2017

### Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-19)

Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-19):
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). 7.8% of 275 + 3.2% of 155 = 1% of?
2640
2641
2642
2643
2644
1 × ? / 100 = 21.45 + 4.96 = 26.41
? = 2641
2. 12/19 of 7/5 of 45% of 8075 = ?
3194
3199
3207
3213
3228
? = 12/19 × 7/5 × 45/100 × 8075 = 3213
3. 4/13 of 2379 + 2/15 of 2265 = 20% of ?
5150
5160
5170
5180
5190
20 × ?/100 = 732 + 302 = 1034
? = 5 × 1034 = 5170

4. (4913)^(2/3) × (2197)^(2/3) = 221 × ?
1
221
(221)^2
(221)^3
None of these
4913 = 17 × 17 × 17 and
2197 = 13 × 13 × 13
? = (17^3)^(2/3) × (13^3)^(2/3) / 221
? = (17)^2 × (13)^2 / 221
? = 221

5). 65% of 132 + 12.5% of 57.6 = ? × 3
30
31
32
33
34
3 × ? = 65 × 132/100 + 12.5 × 57.6/100
3 × ? = 85.8 + 7.2 = 93
? = 93/3 = 31

6. (√5 - √10)^2 + (√2 + 5)^2 = (?)^3 – 22
2
12
16
8
None of these
(?)^3 -22= (√5 - √10)2 + (√2 + 5)^2
(?)^3 -22 = 5 - 2√50 + 10 + 2 + 10 √2 + 25
(?)^3 -22 = 5 -10√2 +10 + 2 +10 √2 + 25
(?)^3 -22 = 42
or, (?)^3 = 42 + 22 = 64
? = ³√64 = 4

7. 55% of √2116 ÷ 0.01 = ? × 20
126.5
126.6
124.6
125.4
None of these
55 ×√2116 /100 ÷ 0.01 = ? × 20
Wkt, √2116 = √(46 × 46) = 46
or, ? × 20 = 55 × 46 / (100 × 0.01) = 55 × 46 / 1 = 2530
? = 2530 / 20 = 126.5

8. √(12^2 × 16 ÷ 24 +193 + 7 × 5) = (?)^2
3 √2
4 √2
5 √2
18
32
?2 = √(12^2 × 16 ÷ 24 +193 + 7 × 5)
?2 = √(144 × 16 / 24 + 193 + 35)
=√(96 + 193 + 35) = √324
or, (?)^2 = √324 =18
? = √18 = √(3 × 3 × 2)
? = 3 √2
9. √31.36 ÷ √0.64 × 252 = (?)^2 × 36
81
64
-8
-7
9
(?)2 = √31.36 ÷√0.64 ×252 / 36
= 5.6 / 0.8 × 252 / 36
= 7 × 252 / 36 = 49
? = √49 = ±7
Hence, - 7

10. (1.69)^4 ÷ (2197 ÷ 1000)^3 × (0.13 × 10)^3 = (1.3)^(?-2)
6
2
4
0
None of these
(1.69)^4 ÷ (2197/1000)^3 × 1.3^3 = 1.3^(? – 2)
or, (1.3)^8 ÷ (1.3)^(3×3) × 1.3^3 = 1.3^(?–2)
or, 1.3^(8-9+3) = 1.3^(?-2)
or, 1.32 = 1.3?-2
or, ? - 2 = 2
? = 2 + 2 = 4

Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
11. √164 × ³√ 615 = ?
70
90
110
130
150
? ≈ 12.8 × 8.5 = 108.8 ≈ 110

12. (√485 × 3.48) × 12.08 = ?
900
925
950
975
1000
? ≈ (22 × 3.5) × 12 = 924 ≈ 925
13. 29.03 × 24.96 – 7.98 × ³√3370 = ?
450
500
550
600
650
? ≈ 29 × 25 - 8 × 15 = 725 - 120 = 605 ≈ 600
14. 245% of 49.962 – 115.03% of 41.89 = ?
75
125
175
225
275
? ≈ 245 × 50 /100 – 115 × 42/100
? = 122.5 - 48.3 = 74.2 ≈ 75
15. √5930 × ³√43 = ?
250
260
270
280
290
? = √5930 × ³√43 ≈ 77 × 3.5
= 269.5 ≈ 270
16. { √2300 ÷11.98 / 8.51} × 7.48 = ?
225
235
245
255
265
? ≈ {48 ÷ 12/8.5} × 7.5 = 34 × 7.5 = 255
17.{10.71% of 1984.96 + 3.89% of 1451} ÷ ( 12.49)^(–1) = ?
3120
3360
3540
3780
3900
? ≈ (212.395 + 56.55) × 12.5
= 268.945 × 12.5
? = 3361.8 ≈ 3360
18.{ √33850 × ³√91100} ÷ 8.98 = ?
720
820
920
1020
1120
? ≈ (184 × 45) ÷ 9 = 184 × 5 = 920

19. {(219.06 × 24.98) - (23.84 × 55.05)} × 8.49 = ?
31500
32500
33500
34500
35500
? ≈ {(220 × 25) - (24 × 55)} × 8.5
= (5500 - 1320) × 8.5 = 4180 × 8.5
? = 35530 ≈ 35500

20.(√1120 × 183.98) + 465.02% of 171.95 = ?
6960
6760
6560
6360
6160
? ≈ (33.5 × 184) + 465 × 172 / 100
≈ 6164 + 800
? = 6964 ≈ 6960
Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number. 21. 8, 125, 1331, 4913, ?
14847
13427
12167
11067
None of these
The series is, alternate prime number cube
i.e., 2^3 , 5^3 , 11^3 , 17^3 , 23^3

22. 5, 25, 7, ?, 9, 19
23
22
25
32
None of these
The first series is, 5, 7, 9
The difference between the numbers is +2, +2, ..
The second series is 25, ?, 19
The difference between the numbers is -3, -3, ..

23. 980, 392, 156.8, ?, 25.088, 10.0352
62.72
63.85
65.04
60.28
None of these
The sequence of the series is ×2/5, ×2/5, ×2/5, ….
24. 5, 9, 21, 37, 81, ?
163
153
181
203
None of these
The sequence of the series is, ×2 -1, × 2 +3, × 2 – 5, × 2 + 7, × 2 – 9

25. 45, 46, 70, 141, ?, 1061.5
353
353.5
352.5
352
None of these
The sequence of the series is, ×1 +1, × 1.5 + 1, × 2 + 1, × 2.5 + 1, × 3 + 1

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 or no relationship can be established
e) If x > y
26. I. 3x^2 + 11x + 6 = 0
II. 3y^2 + 10y + 8 = 0

a)
b)
c)
d)
e)
I. 3x^2 + 11x + 6 = 0
or, 3x^2 + 9x + 2x + 6 = 0
or, 3x (x +3 ) + 2 (x + 3) = 0
or, (3x + 2) (x + 3) = 0
x = -2/3, - 3
II. 3y^2 + 10y + 8 = 0
or, 3y^2 + 6y + 4y + 8 = 0
or, 3y (y +2) + 4 (y + 2) = 0
or, (3y + 4) (y + 2) = 0
y = -4/3, - 2
Hence, no relationship can be established.

27.I. 3x^2 - 7x + 2 = 0
II. 2y^2 - 9y + 10 = 0

a)
b)
c)
d)
e)
I. 3x^2 - 7x + 2 = 0
or, 3x^2 - 6x - x + 2 = 0
or, 3x (x -2) - 1 (x - 2) = 0
or, (3x - 1) (x - 2) = 0
x = 1/3, 2
II. 2y^2 - 9y + 10 = 0
or, 2y^2 – 5y - 4y + 10 = 0
or, y (2y - 5) -2 (2y - 5) = 0
or, (2y - 5) (y - 2) = 0
y = 5/2, 2
Hence x ≤ y
28. I. x^2 = 9
II. 2y^2 - 19y + 44 = 0

a)
b)
c)
d)
e)
I. x^2 = 9
x = ±3
II. 2y^2 - 19y + 44 = 0
or, 2y^2 – 11y - 8y + 44 = 0
or, y (2y - 11) -4 (2y - 11) = 0
or, (2y - 11) (y - 4) = 0
y = 11/2, 4
Hence x < y
29. I. 2x^2 - 15x + 28 = 0
II. 4y^2 - 23y + 30 = 0

a)
b)
c)
d)
e)
I. 2x^2 - 15x + 28 = 0
or, 2x^2 - 7x - 8x + 28 = 0
or, x (2x -7) - 4 (2x - 7) = 0
or, (2x - 7) (x - 4) = 0
x = 7/2, 4
II. 4y^2 - 23y + 30 = 0
or, 4y^2 – 15y - 8y + 30 = 0
or, y (4y - 15) -2 (4y - 15) = 0
or, (4y - 15) (y - 2) = 0
y = 15/4, 2
Hence no relationship can be established.
30. I. 2x^2 - 15x + 27 = 0
II. 5y^2 - 26y + 33 = 0

a)
b)
c)
d)
e)
I. 2x^2 - 15x + 27 = 0
or, 2x^2 - 9x - 6x + 27 = 0
or, x (2x -9) - 3 (2x - 9) = 0
or, (2x - 9) (x - 3) = 0
x = 9/2, 3
II. 5y^2 - 26y + 33 = 0
or, 5y^2 – 15y - 11y + 33 = 0
or, 5y (y - 3) -11 (y - 3) = 0
or, (5y - 11) (y - 3) = 0
y = 11/5, 3
Hence x ≥ y

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