Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-24)

Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-1)

Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-24):

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”.

Direction (1-10): What value should come in place of question mark (?) in the following questions?
1). 35 5/7% of 615 + 77 7/9% of 5886 = ?% of 6126 + 50% of 5638

1). Answer: b)
35 5/7% of 6510 + 77 7/9% of 5886 = ?% of 6126 + 50% of 5638
5/14 of 6510 + 7/9 of 5886 – 1/2 of 5638 = ?% of 6126
? × 6126 / 100 = 2325 + 4578 - 2819 = 4084
? = 4084 / 6126 × 100 = 66.66

2.∛262144 + (15129)^(1/2) = √(6561)^(1/2) + ?

2). Answer: c)
∛262144 + (15129)^(1/2) = √(6561)^(1/2) + ?
64 + 123 = 9 + ?
? = 178

3. 36% of 6550 + 80% of 5625 = ? % of 4560 + 60% of 9530

3). Answer: a)
0.36 × 6550 + 0.8 × 5625 - 0.6 × 9530 = ?% of 4560
? × 4560 / 100 = 2358 + 4500 - 5718 = 1140
? = 1140 / 4560 × 100 = 25

4. (27)^2 + ∛5832 = ?% of 5976

4). Answer: a)
(27)^2 + ∛5832 = ?% of 5976
? × 5976 / 100 = 729 + 18 = 747
? = 747 / 5976 × 100 = 12 1/2

5). 7 3/4 ÷ 46 1/2 × 8 2/3 + 2 5/9 = (?)^2

5). Answer: d)
7 3/4 ÷ 46 1/2 × 8 2/3 + 2 5/9 = (?)^2
(?)^2= 31/4 × 2 /93 × 26/3 + 23/9 =4
? = 2

6. 13.2% of 142 - 23.4% of 56 = 24% of ?

6). Answer: b)
13.2 × 142 / 100 - 23.9 × 56 / 100 = 24 × ? / 100
13.2 × 1.42 - 23.9 × 0.56 = 24 × ? /100
24 × ? / 100 = 18.744 - 13.104
? = 5.64 × 100 / 24 = 564 / 24 = 23.5

7. (47.2)^2 + (52.6)^2 - (23.1)^2 = ? + 2142.69

7). Answer: c)
(47.2)^2 + (52.6)^2 - (23.1)2 = ? + 2142.69
? = 2227.84 + 2766.76 – 533.61 - 2142.69 = 2318.30

8. √11449 × √16641 × ∛35937 ÷ 9 + 2033 = ?

8). Answer: d)
? = √11449 ×√16641 × ∛35937 ÷ 9 + 2033
or,? = 107 × 129 × 33 / 9 + 2033
= 50611 + 2033 = 52644

9. 4 19/32 × 3 1/21 × 2 5/8 = ? + 15 1/2

9). Answer: e)
4 19/32 × 3 1/21 × 2 5/8 = ? + 15 1/2
? = 147/32 × 64/21 × 21/8 – 31/2
= 147/4 – 31/2 = 85/4 = 21 1/4 = 21.25

10. 7/13 of 33 1/3% of 18.75% of 6240 = ?% of 840

10). Answer: a)
? × 840 /100 = 7/13 × 100/300 × 18.75/100 × 6240
? × 840/100 = 7/13 × 1/3 × 3/16 × 6240 = 210
? = 210 × 100 / 840 = 25

Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
11. 38% of 3976 + (32)^2 - 13% of 8271 + 7/6 × 3400 = ?

11). Answer: a)
? = 3976 × 38 / 100 + 1024 - 8271 × 13/100 + 7/6 × 3400
= 1510.88 + 1024 - 1075.23 + 3966.66
= 5426.31 ≈ 5427

12. 987.67 × 123.35 ÷ 9 = ?

12). Answer: c)
? ≈ 987 × 123 / 9 = 13489

13. √80 × 35 / 6 × (21)^2 + 343 = ?

13). Answer: b)
? = √80 × 35/6 × (21)^2 + 343
? = √(16 × 5) × 35 / 6 × 441 + 343
= 4√5 × 35 / 6 × 441 + 343
= 2√5 × 35 × 147 + 343
≈ 2 × 2.23 × 35 × 147 + 343
≈ 23288

14. 4 × (√3 + √4)^2 + 6 (√5 + √6)^2 - 3(√2 + √3)^2 = ?

14). Answer: c)
? = 4(3 + 4 + 2√12) + 6(5 + 6 + 2√30) – 3(2 + 3 + 2√6)
= 4(7 + 2√12) + 6(11 + 2√30) - 3(5 + 2√6)
= 28 + 8√12 + 66 +12√30 -15 - 6√6
= (28 + 66 – 15) + ((8√12 +12√30) - 6√6)
= 79 + (8 √(4 × 3) + 12√30 - 6√6)
= 79 +16 √3 + 12 √30 - 6√6
= 79 + 16 × 1.7 + 12 × 5.4 - 6 × 2.4
= 79 + 27.2 + 64.8 - 14.4 = 156.6 ≈ 157

15. 331/30 + 661/60 + 704/11 + 35.013 - 36.026 = ?

15). Answer: e)
? = 331/30 + 661/60 + 704/11 + 35.013 - 36.026
≈ 11 + 11 + 64 - 1.013
≈ 86 - 1 = 85

16.√2645 + √1805 + √2205 - √1445 = ?

16). Answer: a)
√2645 + √1805 + √2205 - √1445 = ?
or ? = √(5 × 529) + √(5 × 361) + √(5 × 441) - √(5 × 289)
= 23 √5 + 19 √5 + 21 √5 -17 √5
or, ? = √5 (23 +19 + 21 - 17) = 46 √5

17. √8835 / 2 + (21952)1/3 / 7 = √6240 - ?

17). Answer: c)
√8836 / 2 + (21952)^(1/3) / 7 ≈ √6241 - ?
(Let 8836 ≈ 8835 and 6241 ≈ 6240)
94/2 + 28/7 = 79 - ?
47 + 4 = 79 - ?
? = 79 - (47 + 4) = 28

18.[√5041 - √4489]^(1/2) × 0.03 + 37 = ?

18). Answer: b)
[√5041 - √4489]^(1/2)_ × 0.03 + 37 = ?
or, ? = [71 - 67]^(1/2) × 0.03 + 37
= 2 × 0.03 + 37 = 37.06 ≈ 37

19. 23 11/25 + 47 22/45 – 17 2/5 – 0.03 + 25.729 = ?

19). Answer: e)
23 11/25 + 47 22/45 - 17 2/5 - 0.03 + 25.729 = ?
? = (23 + 47 - 17) + (11/25 + 22/45 – 2/5) - 0.03 + 25.729
= 53 + ((99 + 110 – 90)/225) - 0.03 + 25.729
= 53 + 119/225 + 25.729
= 53 + 0.528 + 25.729 = 79.257 ≈ 80

20. (216)^(1/3) + (625)^(1/4) + (1024)^(1/2) – 49.57 + 23.89 = ?

20). Answer: c)
(216)^(1/3) + (625)^(1/4) + (1024)^(1/2) - 49.57 + 23.89 = ?
or, ? = 6 + 5 + 32 - 49.57 + 23.89
= 17.32 ≈ 17

Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number.
21. 796, 199, 50, 13, 4, ?

21). Answer: d)
The series is ÷ 4, + 1 ÷4, + 2 ÷ 4, + 3 ÷4,…
:. ? = (4 + 4) ÷ 4 = 2

22. 445, 534, 631, 736, 849, ?

22). Answer: c)
The series is (21)^2 + 4, (23)2 + 5, (25)^2 + 6, (27)^2 + 7,….
:. ? = (31)^2 + 9 = 961 + 9 =970

23. 7, 9.21, 16.05, 29.94, 53.3, ?

23). Answer: a)
The series is +1 + (1.1)^2, + 2 + (2.2)^2, + 3 + (3.3)^2,…
:. ? = 53.3 + 5 + (5.5)^2 = 88.55

24. 6, 10, 28, 68, 138, ?

24). Answer: a)
The series is + 3^2 – 5, + 5^2 – 7, + 7^2 – 9, + 9^2 – 11, ….
:. ? = 138 + 121 – 13 =246

25. 16, 9, 6, 5, ?, 5.5

25). Answer: a)
The series is + 2 ÷ 2, + 3 ÷ 2, + 4 ÷ 2, + 5 ÷ 2,…..
:. ? = (5 + 5) * (1 / 2) = 5

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). x > y
b). x ≥ y
c). x < y
d). x ≤ y
e). x = y or no relation can be established between ‘x’ and ‘y’.

26. I. 4x + 7y = 42
II. 3x - 11y = – 1

26). Answer: a)
eqn (I) ×3 - eqn (II) × 4
65y = 130
y = 2
and x = 7
x > y

27. I. 9x2 – 29x + 22 = 0
II.y2 – 7y + 12 = 0

27). Answer: c)
I. 9x^2 - 18x - 1 lx + 22 = 0
or 9x(x - 2)- 11(x - 2) = 0
or (x - 2)(9x - 11) = 0
x = 2, 11/9
II. y^2 - 3y - 4y + 12 - 0
or y(y - 3) - 4(y - 3) = 0
or (y - 3) (y - 4) = 0
y = 3, 4
x < y

28. I. 3x^2 – 4x – 32 = 0
II. 2y^2 – 17y + 36 = 0

28). Answer: d)
I. 3x^2 - 4x - 32 = 0
or 3x^2 - 12x + 8x - 32 = 0
or 3x(x - 4) + 8(x - 4) = 0
or (3x + 8) (x - 4) = 0
x = 4, -8/3
II. 2y^2 - 8y - 9y + 36 = 0
or 2y(y - 4) - 9(y - 4) = 0
or (2y - 9) (y - 4) = 0
or (2y - 9) (y - 4) = 0
y = 4, 9/2
x ≤ y

29. I. 3x^2 – 19x – 14 = 0
II. 2y^2 + 5y + 3 = 0

29). Answer: a)
I. 3x^2 - 21x + 2x - 14 = 0
or 3x(x - 7) + 2(x - 7) = 0
or (3x + 2) (x - 7) = 0
x = 7, -2/3
II. 2y^2 + 5y + 3 = 0
or 2y^2 + 2y + 3y + 3 = 0
or 2y(y + 1) + 3(y + 1) = 0
or (2y + 3) (y + 1) = 0
y = -3/2, -1
x > y

30. I. x^2 + 14x + 49 = 0
II. y^2 + 9y = 0

30). Answer: e)
I. x^2 + 14x + 49 = 0
or (x+7) (x+7) = 0
x + 7 = 0
or, x = -7, -7
II. y^2 + 9y = 0
or y(y + 9) = 0
y = 0, -9
ie,. no relation between x and y.