Directions (Q.15): Study the data carefully and answer the question given below:
Q.1 What is the difference between the students who qualified in school X in 2013 and the students who qualified in school Y in 2015?
A. 72
B. 84
C. 90
D. 95
E. 60
Q.2 The students who qualified in school X in 2011 and 2014 is approximately what percent more than the students who appeared in school Y in 2015?
A. 73.6%
B. 75%
C. 69.2%
D. 70%
E. None of these
Q.3 The ratio of the boys and girls who qualified in school Y in 2013 is 5:3, what is the number of boys who qualified in school Y in 2013?
A. 1105
B. 1340
C. 1250
D. 1060
E. None of these
Q.4 Find the ratio of the students who qualified in school X in 2011 and 2015 together to the students who qualified in school Y in the same year.
A. 241:242
B. 230:292
C. 242:241
D. 250:247
E. None of these
Q.5 What is the sum of the students who qualified in 2014 in school X and the students who qualified in 2014 in school Y?
A. 2660
B. 2460
C. 2320
D. 2540
E. None of these
Difference = 2200 × 72%  2000 × 75%
= 1584 – 1500
= 84
% more = (2100 × 54% + 2450 × 60%  2000 × 75%) ÷ 2000 × 75% × 100
= (1134 + 1470 – 1500) ÷ 1500 × 100
= 1104 ÷ 15 = 73.6%
The students who qualified in school Y in 2013 = 2650 × 64% = 1696
Men = 1696 ÷ 8 × 5 = 1060
Ratio = 2100 × 54% + 2360 × 75% : 2320 × 60% + 2000 × 75%
= 1134 + 1770 : 1392 + 1500
= 2904 : 2892
= 242:241
Sum = 2450 × 60% + 2300 × 50% = 1470 + 1150
= 2620
Year

School X

School Y
 
Appeared Student

Qualified Students (%)

Appeared Students

Qualified Students (%)
 
2011

2100

54%

2320

60%

2012

2500

62%

2400

78%

2013

2200

72%

2650

64%

2014

2450

60%

2300

50%

2015

2360

75%

2000

75%

Q.1 What is the difference between the students who qualified in school X in 2013 and the students who qualified in school Y in 2015?
A. 72
B. 84
C. 90
D. 95
E. 60
Q.2 The students who qualified in school X in 2011 and 2014 is approximately what percent more than the students who appeared in school Y in 2015?
A. 73.6%
B. 75%
C. 69.2%
D. 70%
E. None of these
Q.3 The ratio of the boys and girls who qualified in school Y in 2013 is 5:3, what is the number of boys who qualified in school Y in 2013?
A. 1105
B. 1340
C. 1250
D. 1060
E. None of these
Q.4 Find the ratio of the students who qualified in school X in 2011 and 2015 together to the students who qualified in school Y in the same year.
A. 241:242
B. 230:292
C. 242:241
D. 250:247
E. None of these
Q.5 What is the sum of the students who qualified in 2014 in school X and the students who qualified in 2014 in school Y?
A. 2660
B. 2460
C. 2320
D. 2540
E. None of these
Answers With Explanations
1. Ans. B.
Solution:Difference = 2200 × 72%  2000 × 75%
= 1584 – 1500
= 84
2. Ans. A.
Solution:% more = (2100 × 54% + 2450 × 60%  2000 × 75%) ÷ 2000 × 75% × 100
= (1134 + 1470 – 1500) ÷ 1500 × 100
= 1104 ÷ 15 = 73.6%
3. Ans. D.
Solution:The students who qualified in school Y in 2013 = 2650 × 64% = 1696
Men = 1696 ÷ 8 × 5 = 1060
4. Ans. C.
Solution:Ratio = 2100 × 54% + 2360 × 75% : 2320 × 60% + 2000 × 75%
= 1134 + 1770 : 1392 + 1500
= 2904 : 2892
= 242:241
5. Ans. E.
Solution:Sum = 2450 × 60% + 2300 × 50% = 1470 + 1150
= 2620
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