Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-22)

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

Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-22):

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). 8.4% of 270 – 9.6% of 105 = ?% of 168

1). Answer: c)
? × 168/100 = 22.68 – 10.08 = 12.6
? = 12.6× 100 /168 = 7.5

2. √70.56 ÷ (70.56)^(-3/2) = (8.4)^?

2). Answer: b)
√70.56 ÷ (70.56)^(-3/2)= (8.4)^?
8.4 ÷(8.4)^(2×(-3/2)) = (8.4)^?
or, (8.4)^? = 8.4^(1 + 3) = 8.4^4
? = 4

3. 17.5% of 1520 – 8.75% of 1200 = ?% of 2576

3). Answer: b)
?× 2576/100 = 17.5 ×1520/100 – 8.75× 1200/100
?× 2576/100 = (26600 – 10500) / 100
? = 16100 / 2576 = 6.25

4. 8 2/3 of 1263 + 4 5/9 of 1179 = ?× 9

4). Answer: e)
? × 9=26 / 3 × 1263 +41 / 9 × 1179
= 26 × 421 + 41 × 131 = 10946 + 5371
? =16317 / 9
? = 1813

5).32% of 885 – 20% of 66 = 75% of ?

5). Answer: d)
75 ×? / 100 = 32× 885 / 100 – 20× 66 / 100
= 283.2 - 13.2 = 270
? = 270× 100 / 75 = 360

6.144% of 75 – 48% of 150 + 4.8% of 2250 = 12.5% of ?

6). Answer: b)
12.5 ×? /100 = 144× 75 /100 – 48 ×150/100 + 4.8× 2250 / 100
= 108 - 72 + 108 = 144
? = 144× 100 / 12.5 = 1152

7. 3/8 of 2/5 of 13/7 of 35% of 107800 = ?

7). Answer: b)
? = 3 / 8 × 2 / 5 × 13 / 7 × 35 /100 × 10780 = 10510.5

8. {√2 × (174)}^2 + {√2 ×(84)}^2 = ?

8). Answer: d)
? = 2 × (174)^2 + 2 × (84)^2 = 2{(174)^2 + (84)^2}
= (174 + 84)^2 + (174 - 84)^2 = (258)^2 + (90)^2
? = 66564 + 8100 = 74664

9. 3 2/3 + 1 3/4 - 6 1/2 + 3 2/7 = ?

9). Answer: c)
? = (3 + 1 + 3 - 6) + (2/3 + 3/4 + 2/7 – 1/2)
= 1 +((56 + 63 + 24 – 42) / 84)= 1 + 101/84
? = 217/84

10. (1331)^(2/3) × (484)^(-1/2) ÷ (121)^(-1)= (11)^?÷ 2

10). Answer: b)
11^? ÷ 2 = (11^3 )^(2/3) × (22^2 )^ (-1/2) ÷ (11^2 )^(-1)
= (11)^2×(22)^-1× (11)^2
(11)^? / 2 = (11)^2×(11)^2 /(11 × 2) = (11)^3 / 2
? = 3

Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
11. 33 1/3% of ∛1728 + 12.5% of 161.005 × 40%of 1099.97=?

11). Answer: d)
? = 331/3% of ∛1728 + 12.5% of161.005 × 40% of 1099.97
≈1/3 × 12 + 1/8 × 160× 2/5 × 1100
≈ 4 + 20 × 440 = 4 + 8800 = 8804

12. [(941192)^(1/3)- (110592)^(1/3) ]^2 = ?

12). Answer: d)
? = [(941192)^(1/3)–(110592)^(1/3)]^2
= (98 - 48)^2 = (50)^2 = 2500 ≈ 2501

13.85% of 225 + 32.98 × 6.003 = ?

13). Answer: c)
? = 85% of 225 + 32.98 × 6.003
≈85 / 100 × 225 + 33 × 6 = 191.25 + 198
? = 389.25 ≈ 389

14. 25% of √4096.00139 × 2/5 of (35)^2 – 2/3 of 39.01 = ?

14). Answer: c)
25% of √4096.00139 ×2/5 of (35)^2 – 2 /3 of 39.01
≈1/4 × 64 ×2/5 × 1225 – 2 / 3 × 39
= 16 × 2 × 225 - 26 = 7840 - 26 = 7814

15. 16 1/99 × 5 2/105 + ? = 90 98/99

15). Answer: d)
1585 / 99 × 527 / 105 + ? = 9008 / 99
or,? = 9008 / 99– 317 / 99 × 527 / 21
? =(189168 – 167059) / (99 × 21)
? = 22109 / 2079 = 10.63≈ 11

16.∛59322 ×(428 ÷11) = (?)^2

16). Answer: c)
(?)^2=∛59322 ×(428 ÷11)
= ∛(39× 39× 39) × 38.90
≈ 39 × 39 = (39)2
? = 39

17. 177.5% of 2480 + 63.002 × 19.995 - 61.899 = ?

17). Answer: c)
? ≈177.5 ×2480 / 100 + 63× 20 – 62
≈ 4402 + 1260 - 62 = 5600

18. 7/16 × 8022.66 +11/20 × 6822.44 = ?

18). Answer: a)
? = 7/16 × 8022.66 + 11 / 20 × 6822.44
= 3509.91 + 3752.34 ≈ 7260

19. 97975 ÷ 545 × ∛515 = ?

19). Answer: e)
?≈ 97975 / 545 ×∛515
≈ 179.77 × 8 ≈ 180 × 8 = 1440

20. 289.089 × 4.27 + 5.004 × 333.918 = ?

20). Answer: d)
? ≈290 × 4.25 + 5 × 334
= 1232.5 + 1670 ≈ 2900

Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number.
21. 24, 12, ?, 18 , 36, 90

21). Answer: b)
The series is × 0.5, ×1, × 1.5, × 2, × 2.5, ….

22. 7 , 20, 59, ? , 215 , 332

22). Answer: d)
The series is + (1 × 13), + (3 × 13), + (5 × 13), + (7 × 13),….

23. ?, 17, 29, 59, 115, 205

23). Answer: c)
The series is 15 + 1 × 2 = 17,
17 + 3 × 4 =29,

29 + 5 × 6 = 59,
59 + 7 × 8 = 105,
105 + 9 × 10 = 205, ….

24. 10, 30, 68, 130, ?, 350

24). Answer: d)
The series is 2^3 + 2, 3^3 + 3 , 4^3 + 4 , 5^3 + 5, 6^3 + 6 , 7^3 + 7,…..

25.170, 196, 248, ? , 560, 976

25). Answer: b)
The series is + 26, + 52, + 104, + 208, + 416,…

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.13x^2=x×247×x^(-1)
II.y^(1/3)×14=294÷y^(2/3)

26). Answer: b)
I.13x^2 = x × 247 × 1/x
Or, 13x^2=247
Or, x^2=19
∴x=±4.35
II. y^(1/3)×14= 294 / y^(2/3)
Or, y^(1/3+2/3) =294/14
Or, y=21
Hence x < y

27. I.8x^2-78x+169 =0
II.20y^2-117y+169 =0

27). Answer: c)
I.8x^2-78x+169=0
Or, 8x^2-52x-26x+169 =0
Or, 4x(2x-13)-13(2x-13)=0
∴x=13/2, 13/4
=6.5, 3.25
II.20y^2-117y+169 =0
Or, 20y^2-65y-52y+169 =0
Or, 5y(4y-13)-13(4y-13)=0
Or, y=13/5,13/4
∴y=2.6, 3.25
∴Hence x≥y

28. I.(169)^(1/2)x+√289=134
II.(361)^(1/2)y^2-270=1269

28). Answer: c)
I. (169)^(1/2)x+√289=134
Or, 13x+17=134
Or, 13x=117
∴x=9
II. (361)^(1/2)y^2-270=1269
Or, 19y^2=1269+270
Or, y^2=81
∴y=±9
Hence, x≥y

29. I.x^2-14x +49=0
II.y^2-10y-56=0

29). Answer: e)
I. x^2-14x+49=0
Or, x^2-7x-7x+49=0
Or,(x-7)(x-7)=0
∴x=7, 7
II.y^2-10y-56=0
Or, y^2-14y+4y-56=0
Or,y(y-14)+4(y-14)=0
∴y=14,-4
Relation can’t be established.

30. I.8x^2+29x-12=0
II.3y^2+12y+9=0

30). Answer: e)
I. 8x^2+29x-12=0
Or, 8x^2+32x -3x-12=0
Or,8x(x+4)-3(x+4)=0
∴x=3/8,-4
II. 3y^2+12y+9=0
Or, 3y^2+3y+9y+9=0
Or, 3y(y+1)+9(y+1)=0
Or, y=-9/3,-1
y = -3,-1
Relationship can’t be established.