CDS Exam (II)- 2018 - Elementary Mathematics Defence Question Paper

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CDS Exam (II)- 2018 - Elementary Mathematics

CDS Exam (II)- 2018 - Elementary Mathematics Defence Questions

31.
The sum of ages of a father, a mother, a son Sonu and daughters Savita and Sonia is 96 years. Sonu is the youngest member of the family. The year Sonu was born, the sum of the ages of all the members of the family was 66 years. If the father's age now is 6 times that of Sonu's present age, then 12 years hence, the father's age will be
A.
44 years
B.
45 years
C.
46 years
D.
48 years
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ANSWER :
D. 48 years
32.
A' is thrice as good a workman as 'B' and takes 10 days less to do a piece of work than 'B' takes. The number of days taken by 'B' alone to finish the work is
A.
12
B.
15
C.
20
D.
30
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ANSWER :
B. 15
33.
Out of 85 children playing badminton or table tennis or both, the total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 12 children play badminton and table tennis both. The number of girls playing only badminton is
A.
14
B.
16
C.
17
D.
35
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ANSWER :
A. 14
34.
A person bought two articles X and Y from a departmental store. The sum of prices before sales tax was ₹ 130. There was no sales tax on the article X and 9% sales tax on the article Y. The total amount the person paid, including the sales tax was ₹ 136.75. What was the price of the article Y before sales tax?
A.
₹ 75
B.
₹ 85
C.
₹ 122
D.
₹ 125
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ANSWER :
A. ₹ 75
35.
According to Mr. Sharma's will, half of his property goes to his wife and the rest is equally divided between his two sons, Ravi and Raj. Some years later, Ravi dies and leaves half of his property to his widow and rest to his brother Raj. When Raj dies he leaves half of his property to his widow and remaining to his mother, who is still alive. The mother now owns ₹ 88,000 worth of the property. The total worth of the property of Mr. Sharma was
A.
₹ 1,00,000
B.
₹ 1,24,000
C.
₹ 1,28,000
D.
₹ 1,32,000
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ANSWER :
C. ₹ 1,28,000
36.
X bought 4 bottles of lemon juice and Y bought one bottle of orange juice. Orange juice per bottle costs twice the cost of lemon juice per bottle. Z bought nothing but contributed ₹ 50 for his share of the drink which they mixed together and shared the cost equally. If Z's ₹ 50 is covered from his share, then what is the cost of one bottle of orange juice?
A.
₹ 75
B.
₹ 50
C.
₹ 40
D.
₹ 30
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ANSWER :
B. ₹ 50
37.
Ten (10) years before, the ages of a mother and her daughter were in the ratio 3 : 1. In another 10 years from now, the ratio of their ages will be 13 : 7. What are their present ages?
A.
39 years, 21 years
B.
55 years, 25 years
C.
75 years, 25 years
D.
49 years, 31 years
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ANSWER :
B. 55 years, 25 years
38.
In a class of 60 boys, there are 45 boys who play chess and 30 boys who play carrom. If every boy of the class plays at least one of the two games, then how many boys play carrom only?
A.
30
B.
20
C.
15
D.
10
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ANSWER :
C. 15
39.
Two equal amounts were borrowed at 5% and 4% simple interest. The total interest after 4 years amounted to ₹ 405. What was each amount borrowed?
A.
₹ 1075
B.
₹ 1100
C.
₹ 1125
D.
₹ 1150
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ANSWER :
C. ₹ 1125
40.
Twelve (12) men work 8 hours per day and require 10 days to build a wall. If 8 men are available, how many hours per day must they work to finish the work in 8 days?
A.
10 hours
B.
12 hours
C.
15 hours
D.
18 hours
😑 View Answer Error
ANSWER :
C. 15 hours
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