Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-23)

Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-23):

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Direction (1-10): What value should come in place of question mark (?) in the following questions?
1).√(46656)^(1/3) + √462.25 = √(?)

1). Answer: c)
√? =√(46656)^(1/3)+√462.25
=√(36)^(3×(1/3))+ √(21.5)^2
or, √? =√36 + 21.5 = 6 + 21.5 = 27.5
? = 27.5 × 27.5 = 756.25

2. 1/6 of 42 6/7% of 71 3/7% of 4116 = ?

2). Answer: b)
? = 1/6 × 300/700 × 500/700 × 4116
? = 1/6 × 3/7 × 5/7 × 4116
= 42 × 5 = 210

3. 88% of 1500 + 75% of 340 = ?% of 630

3). Answer: b)
?× 630 / 100 = 88 ×1500/100 + 75× 340 / 100
= 1320 + 255 = 1575
or, ? × 630 = 1575 × 100
? = 157500 / 630 = 250

4. {6^(3.6)÷ (36)^(-4.2)}^(1/4) = √?

4). Answer: d)
{(6)^(3.6)÷ (36)^(-4.2)}^(1/4) = √?
or, {66(3.6) ÷ (6)^(2 × (-4.2))}^(1/ 4) =√?
or, {(6)^(3.6 + 8.4)}^(1/4 )=√?
or, 6^(12/4)=√?
or, 6^3=√?
? = 216 × 216 = 46656

5). √32041 ×√3364 - (56)^2 = 387 + (?)^3

5). Answer: c)
(?^3=√32041×√3364 - (56^2- 387
= 179 × 58 - 3136 - 387
= 10382 - 3523 = 6859
? =∛(19×19×19) = 19

6. 3749.3409 - 2959.9987 - 1350.009 + 2309.9413 + 13.0405 = ? + 113.45

6). Answer: c)
? = (3749.3409 + 2309.9413 + 13.0405) -(2959.9987 + 1350.009 + 113.45)
= 6072.3227 - 4423.4577 = 1648.865

7. 137.5% of 3375 - 4352% of 73.5 = ? – 3/11 of 14641

7). Answer: e)
? = 137.5 × 33.75 - 43.52 × 73.5 +3/11 × 14641
= 4640.625 - 3198.72 + 3 × 1331
= 1441.905 + 3993 = 5434.905

8. 67620 ÷ 345 × 14 + 3584 ÷ 14 = ? - 4158 ÷ 297

8). Answer: d)
196 × 14 + 256 = ? - 14
or, ? = 2744 + 256 + 14 = 3014

9. ? - 115.94 ÷ 3.41 = 0.006 × 0.36 ÷ 0.012 + 1.0034

9). Answer: c)
0.006 × 30 + 1.0034 = ? - 34
or, ? = 0.18 + 1.0034 + 34 = 35.1834

10. 5.8 × 2.5 + 0.6 × 6.75 + 139.25 = ?

10). Answer: b)
14.5 + 4.05 + 139.25 = 157.80

Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
11. √795664 × 3√5832 – √675.9932 = ?

11). Answer: c)
? = √795664 ×∛5832 -√676.9932
≈ 892 × 18 - 26
= 16056 - 26 = 16030

12. 1325 × √16.0123 + 25% of 161.043 – 3/4 of 84.31 = ?

12). Answer: d)
? = 1325 ×√16.0123 + 25%of 161.043 – 3/4 of 84.31
≈ 1325 × 4 +1/4 × 160 – 3/4 × 84
= 5300 + 40 - 63
= 5300 - 23 = 5277 ≈ 5280

13. 0.5% of 449.93 ×8% of 674 = ?

13). Answer: a)
? = 0.5% × 449.93 × 8% of 674
≈1/2 × 4.5 × 8 × 6.75 = 2.25 × 54 = 121.5 ≈ 122

14. 2/5 of ∛91125 × √324.0013 ÷ 2/5 of 44.9934 = ?

14). Answer: d)
? = 2/5 of ∛91125 ×√324.0013 ÷2/5 of 44.9934
≈2/5 × 45× 18÷ 2/5 of 45
= 2/5 × 45 ×18 ÷18 = 18

15. 85% of 225 + 43.012 × 42.9873 - 40% of 149.90 = ?

15). Answer: b)
? = 85% of 225 + 43.012 × 42.9873 - 40% of 149.9
? ≈85× 225/100 + 43 ×43 - 40 ×150 / 100
= 85 × 2.25 + 43 × 43 – 2/5 × 150
≈ 191 + 1849- 60 = 1980

16.512.01 × 412.99 ÷ 119 = ?

16). Answer: e)
? = 512.01 ×412.99/119
≈ 510× 413 / (17 × 7) = 30× 59
= 1770 ≈1775

17. 1699.99 × 299.88 ÷ 59.9 - 1498 + 3745 = ?

17). Answer: d)
?≈ 1700 ×300 / 600 – 1498 + 3745
= 510000 / 600 - 1498 + 3745
= 8500 - 1498 + 3745
= 12245 - 1498 = 10747 ≈ 10750

18.(13.96)^2 + (16.23)^2 + (17.26)^2 - 32.95 = ?

18). Answer: b)
? ≈ (14^2 + (16.2^2 + (17.25^2 - 33
≈ 196 + 262.44 + 297.56 – 33
≈ 756 - 33 = 723 ≈ 720 (approximate)

19. 1624.98 × 29.92 + 468.75 = ?

19). Answer: c)
? ≈ 1625 × 30 + 469
= 48750 + 469 = 49219 ≈ 49220

20. 8499.99 ÷ 375.002 × 14.996 = ?

20). Answer: e)
?≈ 8500 /375 ×15 =340

Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number.
21. 2, 11, 38, 197, 1172, 8227, 65806

21). Answer: d)
The series is based on the following pattern:
2 × 3 + 5 = 11
11 × 4 – 6 = 38
38 × 5 + 7 = 197
197 × 6 – 8 = 1174 ≠ 1172
1172 is wrong and it should be replaced by 197 × 6 - 8 = 1174

22. 16, 19, 21, 30, 46, 71, 107

22). Answer: a)
The series is based on the following pattern:
107 - 71 = 36
71 - 46 = 25
46 - 30 = 16
30 - 21 = 9
21 - 19 = 2≠4
19 should be replaced by 17 for which 21 - 17 = 4

23. 7, 9, 16, 25, 41, 68, 107, 173

23). Answer: d)
The series is based on the following pattern:
9 + 7 = 16
16 + 9 = 25
25 + 16 = 41
41 + 25 = 66 ≠ 68
68 should be replaced by 66.

24. 4, 2, 3.5, 7.5, 26.25, 118.125

24). Answer: c)
The series is based on the following pattern: ×0.5,×1.5,×2.5,×3.5,×4.5
Obviously, 3.5 Is the wrong number which should be replaced by 3.

25. 16, 4, 2, 1.5, 1.75, 1.875

25). Answer: b)
The series is based on the following pattern: ×0.25,×0.5,×0.75,×1,×1.25
Obviously, 1.75 is the wrong number which should be replaced by 1.5.

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) 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 – 1200 = 244.
II. y + 122 = 159

26). Answer: e)
I. ^2 = 1200 + 244
X^2 = 1444
x = √(1444) = ± 38
II. y = 159 – 122 = 37
Clearly, x > y or x < y
Hence, the relationship cannot be established.

27. I. 14x – 25 = 59 – 7x.
II. √(y + 222) - √(36) = √(81)

27). Answer: a)
I. 14x + 7x = 59 + 25
21x = 84; x = 4
II. √(y + 222) = √(36) + √(81)
√(y + 222) = ± 6 ±9
√(y + 222) = ± 15
Taking (+ve) sign,
√(y + 222) = 15
y + 222 = 225
y = 225 – 222 = 3
Taking (-ve) sign,
√(y + 222) = -15
(y + 222) = 225
Y = 225 – 222 = 3
Clearly, x > y

28. I. 144x^2 – 16 = 9.
II. 12y + √4 = √(49)

28). Answer: e)
I. 144x^2 = 16 + 9
144x^2 = 25 ax^2 = 25 / 144
x = ± 5 / 12
II. 12y = √49 - √4
12y = ± 7 – (± 2)
12y = ± 5
y = ± 5 / 12
clearly, x = y

29. I. x^2 – 9x + 20 = 0.
II. y^2 – 13y + 42 = 0

29). Answer: c)
I. x^2 – 9x + 20 = 0
x^2 – 5x -4x +20 = 0
x(x - 5) – 4 (x - 5) = 0
(x - 5) (x - 4) = 0
x = 5 or 4
II. y^2 – 13y + 42 = 0
Y^2 – 7y – 6y + 42 = 0
y(y - 7) – 6 (y - 7) = 0
(y - 7) (y - 6) = 0
Y = 6 (or) 7
Clearly, x < y

30. I. (√(x) / 5) + (3 √(x) / 10) = (1 / √(x)) .
II. (10 / √(y)) – (2 / √(y)) = 4√(y)

30). Answer: e)
I. (2√x + 3√x) / 10 = 1 / √x
2x + 3x = 10
5x = 10
x = 2
II. (10 - 2) / √y = 4 √y
8 = 4y
y = 8 / 4 = 2
Clearly, x = y

       

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