CDS Exam (II)- 2014 - Elementary Mathematics Defence Question Paper

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CDS Exam (II)- 2014 - Elementary Mathematics

CDS Exam (II)- 2014 - Elementary Mathematics Defence Questions

1.
Pipe A can fill a tank in 3 hours. But there is a leakage also, due to which it takes 3.5 hours for the tank to be filled. How much time will the leakage take in emptying the tank if the tank is filled initially?
A.
21 hours
B.
26 hours
C.
18 hours
D.
10.5 hours
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ANSWER :
A. 21 hours
2.
A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200 m. What is the length of the train?
A.
50 m
B.
100 m
C.
150 m
D.
200 m
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ANSWER :
D. 200 m
3.
A, B and C can do a piece of work individually in 8, 12 and 15 days respectively. A and B start working together but A quits after working for 2 days. After this, C joins and works till completion of the work. In how many days will the work be completed?
A.
\( 3\frac{8}{9} \) days
B.
\( 5\frac{8}{9} \) days
C.
\( 5\frac{2}{3} \) days
D.
\( 6\frac{1}{18} \) days
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ANSWER :
B. \( 5\frac{8}{9} \) days
4.
The distance between two points (A and B) is 110 km. X starts running from point A at a speed of 60 km/hr and Y starts running from point B at a speed of 40 km/hr at the same time. They meet at a point C, somewhere on the line AB. What is the ratio of AC to BC?
A.
3 : 2
B.
2 : 3
C.
3 : 4
D.
4 : 3
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ANSWER :
A. 3 : 2
5.
A is thrice as efficient as B and hence completes a work in 40 days less than the number of days taken by B. What will be the number of days taken by both of them when working together?
A.
22.5 days
B.
15 days
C.
20 days
D.
18 days
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ANSWER :
B. 15 days
6.
If 10 persons can dig 8 feet trench in 12 days, then how many days will 8 persons take to dig 6 feet trench?
A.
10 days
B.
10.25 days
C.
11 days
D.
11.25 days
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ANSWER :
D. 11.25 days
7.
The height of a tree varies as the square root of its age (between 5 to 17 years). When the age of the tree is 9 years, its height is 4 feet. What will be the height of the tree at the age of 16 years?
A.
5 feet 4 inches
B.
5 feet 5 inches
C.
4 feet 4 inches
D.
4 feet 5 inches
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ANSWER :
A. 5 feet 4 inches
8.
The ratio of ages of A and B is 2 : 5 and the ratio of ages of B and C is 3 : 4. What is the ratio of ages of A, B and C?
A.
6 : 15 : 20
B.
8 : 5 : 3
C.
6 : 5 : 4
D.
2 : 15 : 4
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ANSWER :
A. 6 : 15 : 20
9.
When an article is sold at 20% discount, the selling price is ₹ 24. What will be the selling price when the discount is 30%?
A.
₹ 25
B.
₹ 23
C.
₹ 21
D.
₹ 20
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ANSWER :
C. ₹ 21
10.
A shopkeeper sells his articles at their cost price but uses a faulty balance which reads 1000 g for 800 g. What is his actual profit percentage?
A.
25%
B.
20%
C.
40%
D.
30%
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ANSWER :
A. 25%
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