29 Jun 2017

Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-16)

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

00:00:00

Direction (1-10): What value should come in place of question mark (?) in the following questions?
1). 3 2/5 × 7 5/8 ÷ 2 1/3 × 3 1/2 × 3 1/5 = ?
121.32
122.82
123.74
124.44
125.5
1). Answer: d)
? = 17/5 × 61/8 ÷ 7/3 × 7/2 × 16/5
? = 17 × 61 × 3 × 16 / (5 × 8 × 2 × 5)
? = 3111 / 25 = 124.44
2. 77.8 × 0.8 × ? = 964.72
13.5
14.5
15.5
16.5
17.5
2). Answer: c)
? = 964.72 / (77.8 × 0.8) = 15.5
3. √17.64 × √14.0625 = √0.0225 × ?
105
115
125
135
145
3). Answer: a)
? = 4.2 × 3.75 / 0.15 = 15.75 / 0.15
? = 105

4. 7/15 of 5/27 of 45% of 1593 = 2.1 × ?
29.5
28.5
27.5
26.5
25.5
4). Answer: a)
? = 7 × 5 × 45 × 1593 / (12 × 27 × 100 × 2.1)
? = 29.5

5). (357.911)^(2/3) × (50.41)^(3/2) = (7.1)^?
5
4
3
2
1
5). Answer: a)
(7.1)^? = {(7.1)^3}^(2/3) × {(7.1)2}^(3/2)
or, (7.1)^? = (7.1)^2 × (7.1)^3
or, (7.1)^? = (7.1)^5
? = 5

6. 4003 × 77 - 21015 = ? × 116
2477
2478
2467
2476
None of these
6). Answer: d)
? × 116 = 4003 × 77 - 21015
? × 116 = 308231 - 21015 = 287216
? = 287216 / 116
? = 2476

7. [(5 √7 + √7) × (4 √7 + 8 √7)] - (19)^2 = ?
143
72 √7
134
70 √7
None of these
7). Answer: a)
[(5 √7 + √7) × (4 √7 + 8 √7)] - (19)^2 = ?
? = [20 × 7 + 4 × 7 + 8 × 7 + 40 × 7] - 361
? = [140 + 28 + 56 + 280] - 361
? = 504 - 361 = 143

8. (4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26) = ?
280.4
290.4
295.4
285.4
None of these
8). Answer: b)
? = (4444 ÷ 40) + (645 ÷ 25) + (3991 + 26)
? = 4440 / 40 + 645 / 25 + 3991 / 26
? = 111.1 + 25.8 + 153.5 = 290.4
9. √33124 × √2601 - (83)^2 = (?)^2 + (37)^2
37
33
34
28
None of these
9). Answer: e)
(?)^2 + (37)^2 = √33124 × √2601 - (83)^2
or, (?)^2 + (37)^2 = 182 × 51 - (83)^2
or, (?)^2 + 1369 = 9282 - 6889 = 2393
or, (?)^2 = 2393 - 1369 = 1024
? = √1024 = 32

10. 5 17/37 × 4 51/52 × 11 1/7 + 2 3/4 = ?
303.75
305.75
303 3/4
305 1/4
None of these
10). Answer: b)
? = 5 17/37 × 4 51/52 × 11 1/7 + 2 3/4
? = 202 / 37 × 259 / 52 × 78 / 7 + 11/4
? = 202/37 × 259 / 7 × 3/2 + 11 / 4
? = 101 × 3 + 11 / 4
? = 303 + 11/4 = (1212 + 11) / 4
? = 1223/4 = 305.75

Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
11. 1144.98 × 5.85 × 3.2 ÷ 12 = ?
1600
1790
1800
2200
2400
11). Answer: b)
? ≈ 1145 × 5.85 × 3.2 ÷ 12
? = 1786.2 ≈ 1790

12. 112.21 × 132.52 × 4.793 ÷ 17.998 = ?
3720
3780
3840
3900
3960
12). Answer: e)
? ≈ 112.2 × 132.5 × 4.8 ÷ 18
? = 3964.4 ≈ 3960
13. 27.77 × 35.012 × 4.88 ÷ 24.985 + √35 = ?
180
200
220
240
260
13). Answer: b)
? ≈ 27.8 × 35 × 5 / 25 + 6
? ≈ 194.6 + 6 = 200.6 ≈ 200
14. 27% of 5678 - 37% of 2345 = ?
620
635
650
665
680
14). Answer: d)
? = 27 × 5678 /100 – 37 × 2345 / 100
? = 1533.06 - 867.65 = 665.41 ≈ 665
15. 648% of √429020 = ?
4050
4150
4250
4350
4450
15). Answer: c)
√429020 ≈ 655
? ≈ 648 × 655 /100 = 4244.4 ≈ 4250
16. 148% of 13785 = ?
20100
20200
20300
20400
20500
16). Answer: d)
? = 148 × 13785 / 100
? = 20401.8 ≈ 20400
17. √1445 + 8.01 / 6.994 × 168.08 = ?
210
220
230
240
250
17). Answer: c)
√1445 ≈ 38
? ≈ 38 + 8/7 × 168
? = 38 + 192 = 230
18. √24000 × 36.06 +174.98 × 3.99 = ?
6180
6280
6380
6480
6580
18). Answer: b)
√24000 ≈ 155
? ≈ 155 × 36 + 175 × 4
? = 5580 + 700 = 6280

19. 4488 ÷ √1935 + 171.991 ÷ 3.998 = ?
105
125
145
165
185
19). Answer: c)
√1935 ≈ 44
? ≈ 4488 / 44 + 172 / 4
? = 102 + 43 = 145

20. (1884% of 73) ÷ 25.05 = ?
35
45
55
65
75
20). Answer: c)
? = 1884 × 73 /100 ÷ 25
? ≈ 1375 / 25 = 55
Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number. 21. 4500, 5400, 5488, 4608, ?
4836
1786
2916
3866
5896
21). Answer: c)
The series is,
5^3 × 62 = 4500
6^3 × 52 = 5400
7^3 × 42 = 5488
8^3 × 32 = 4608
9^3 × 22 = 2916

22. 3, 6, 17, 48, ?, 248
154
169
214
117
135
22). Answer: d)
The difference between numbers is + 1^3 + 2 , + 2^3 + 3, + 3^3 +4 , + 4^3 + 5 , + 5^3 + 6

23. 13, 24, 42, 79, 153,?
198
248
288
328
378
23). Answer: c)
The difference between numbers is + 1^3 + 10, + 2^3 +10, + 3^3 + 10, + 4^3 + 10, + 5^3 +10
24. 2, 4, 20, 74, ?, 452
316
202
348
184
396
24). Answer: b)
The difference between numbers is +1³+1³ , +2³+2³ ,+3³+3³ , +4³+4³ , +5³+5³

25. 122, 131, 203, 446,?
1022
878
1246
1132
984
25). Answer: a)
The difference between numbers is +1³+2³ , +2³+4³ ,+3³+6³ , +4³+8³

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
26. I. 4x^2 – 8x + 3 = 0
II. 2y^2 – 7y + 6 = 0

a)
b)
c)
d)
e)
26). Answer: b)
From equation I:
4x^2 -8x+3 = 0
or, 4x^2-6x-2x+3=0
or, 2x(2x -3)-1(2x -3) = 0
or, (2x -1)(2x -3) = 0
x =1/2 or 3/2
From equation II:
2y^2 - 7y +6 = 0
or,2y^2-4y-3y+6 = 0
or, (2y-3) (y-2)=0
y =3/2 or 2
Hence, x ≤ y

27.I. x^2 + x - 6 = 0
II. 2y^2 – 13y + 21 = 0

a)
b)
c)
d)
e)
27). Answer: a)
From equation I:
x^2+ x - 6 = 0
or, x^2 – 2x + 3x – 6 = 0
or, x(x -2) +3(x - 2) = 0
(x - 2) (x + 3) = 0
x = -3 or 2
From equation II:
2y^2 – 13y + 21 = 0
or, 2y^2 – 6y – 7y + 21 = 0
or, 2y(y-3) -7(y-3) = 0
or, (2y - 7) (y - 3) = 0
y = 3 or 7/2
Hence, x
28. I. x^2 – x - 6 = 0
II. 2y^2 + 13y + 21 = 0

a)
b)
c)
d)
e)
28). Answer: d)
From equation I:
x^2 – x – 6 = 0
or, x^2 – 3x + 2x – 6 = 0
or, x(x-3) + 2(x-3) = 0
or, (x-3)(x+2) = 0
x = -2 or 3
From equation II:
2y^2 +13y+21=0
or, 2y^2 +6y+7y+21 = 0
or,2y(y+3)+7(y+3)=0
or, (2y+7)(y+3) = 0
y = - 3 or - 7/2
Hence x > y
29. I. x^2 = 4
II. y^2 + 6y + 9 = 0

a)
b)
c)
d)
e)
29). Answer: d)
From equation I:
x^2 = 4
x = √4
x = ± 2
from equation II:
y^2 + 6y + 9 = 0
or, y^2 + 3y + 3y + 9 = 0
or,y (y + 3)+3(y+3) = 0
or, (y+3) (y+3)=0
or, y = -3, -3
Hence x > y
30. I. 2x + 3y = 4
II. 3x + 2y = 11

a)
b)
c)
d)
e)
30). Answer: d)
From I and II we get y = - 2 and x = 5
x > y



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