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CWC/ FCI Quantitative Aptitude – Day 45
Directions (Q. 1 – 5): What value should come in place of (?) in the following questions?
1) ? % of 800 – 12 % of 2800 – (4/9) of (3/8) of 72 = 24
a) 75.5
b) 58.5
c) 67.5
d) 46.5
e) None of these
2) 45 × 288 ÷ √1024 + 90 = ?3 + 122 + √64
a) 7
b) 12
c) 23
d) 18
e) None of these
3) (5/12) of 6720 + 28 % of 700 = ? + 1562
a) 1578
b) 1434
c) 1352
d) 1696
e) None of these
4) 80 + 426 ÷ 6 – 144 = ∛?
a) 729
b) 216
c) 343
d) 512
e) None of these
5) ∛32768 + 36 % of 1050 – (1/7) of 875 = ?
a) 285
b) 325
c) 450
d) 230
e) None of these
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
There are 3 schools (P, Q and R) in a certain city. The ratio of total number of students studied in school P, Q and R is 5: 4: 6. Total number of students studied in school Q is 600 less than the total number of students studied in school R. Total number of teachers in school P is 4 % of total number of students in the same school. The ratio of total number of students in school Q to that of total teachers in the same school is 24: 1. Total number of teachers in all the given schools together is 160. The percentage of total number of boys studied in school Q is 45 % and the percentage of total number of girls studied in school P and R is 46 % and 40 % respectively.
6) Total number of girls studied in school P is approximately what percentage of total number of boys studied in school R?
a) 75 %
b) 64 %
c) 82 %
d) 96 %
e) 53 %
7) Find the ratio between the total number of teachers studied in school P to that of total number of boys studied in the same school?
a) 5: 16
b) 11: 28
c) 8: 19
d) 2: 27
e) None of these
8) Find the average number of boys studied in all the given schools together?
a) 810
b) 750
c) 890
d) 1020
e) None of these
9) Total number of students studied in school P and R together is approximately what percentage of total number of girls studied in School Q and R together?
a) 170 %
b) 210 %
c) 240 %
d) 275 %
e) 320 %
10) Find the difference between the average number of students studied in all the given schools together to that of the average number of girls studied in all the given schools together?
a) 750
b) 540
c) 480
d) 810
e) None of these
Answers :
Direction (1-5) :
1) Answer: d)
(x/100)*800 – (12/100)*2800 – (4/9)*(3/8)* 72 = 24
8x – 336 – 12 = 24
8x = 24 + 336 + 12
8x = 372
X = 46.5
2) Answer: a)
45 × 288 ÷ 32 + 90 = x3 + 144 + 8
(45*288)/32 + 90 – 152 = x3
x3 = 405 + 90 – 152 = 343
x = 7
3) Answer: b)
(5/12)*6720 + (28/100)*700 = x + 1562
x = 2800 + 196 – 1562
x = 1434
4) Answer: c)
80 + (426/6) – 144 = ∛x
80 + 71 – 144 = ∛x
151 – 144 = ∛x
∛x = 7
x = 73 = 343
5) Answer: a)
∛32768 + 36 % of 1050 – (1/7) of 875 = x
32 + (36/100)*1050 – (1/7)*875 = x
X = 32 + 378 – 125 = 285
Directions (Q. 6 – 10):
The ratio of total number of students studied in school P, Q and R = 5: 4: 6
Total number of students studied in school Q = The total number of students studied in school R – 600
4’s = 6’s – 600
2’s = 600
1’s = 300
Total students studied in school P = 5’s = 1500
Total students studied in school Q = 4’s = 1200
Total students studied in school R = 6’s = 1800
Total number of teachers in school P
= > (4/100)*Total number of students in school P
= > (4/100)*1500 = 60
The ratio of total number of students in school Q to that of total teachers in the same school = 24: 1
Total number of teachers in School Q = (1200/24)*1 = 50
Total number of teachers in all the given schools together = 160
P + Q + R = 160
R = 160 – 60 – 50 = 50
Total number of teachers in School R = 50
The percentage of total number of boys studied in school Q = 45 %
Total number of boys studied in school Q = 1200*(45/100) = 540
Total number of girls studied in school Q = 1200 – 540 = 660
Total number of girls studied in school P = 1500*(46/100) = 690
Total number of boys studied in school P = 1500 – 690 = 810
Total number of girls studied in school R = 1800*(40/100) = 720
Total number of boys studied in school R = 1800 – 720 = 1080
6) Answer: b)
Total number of girls studied in school P = 690
Total number of boys studied in school R = 1080
Required % = (690/1080)*100 = 63.889 % = 64 %
7) Answer: d)
The total number of teachers studied in school P = 60
The total number of boys studied in school P = 810
Required ratio = 60: 810 = 2: 27
8) Answer: a)
The average number of boys studied in all the given schools together
= > (810 + 540 + 1080)/3
= > 2430/3 = 810
9) Answer: c)
Total number of students studied in school P and R together
= > 1500 + 1800 = 3300
Total number of girls studied in School Q and R together
= > 660 + 720 = 1380
Required % = (3300/1380)*100 = 240 %
10) Answer: d)
The average number of students studied in all the given schools together
= > (1500 + 1200 + 1800)/3 = 4500/3 = 1500
The average number of girls studied in all the given schools together
= > (690 + 660 + 720)/3 = 2070/3 = 690
Required difference = 1500 – 690 = 810
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