CDS Exam (II)- 2020 - Elementary Mathematics Defence Question Paper

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CDS Exam (II)- 2020 - Elementary Mathematics

CDS Exam (II)- 2020 - Elementary Mathematics Defence Questions

21.
A shopkeeper sells his articles at their cost price but uses a faulty balance which reads 1000 gm for 800 gm. What is the actual profit percentage?
A.
20%
B.
25%
C.
30%
D.
40%
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ANSWER :
B. 25%
22.
A river 3 m deep and 40 m wide is flowing at the rate of 2 km/hr and falls into the sea. What is the amount of water in litres that will fall into the sea from this river in a minute?
A.
40,00,000 litres
B.
4,00,000 litres
C.
40,000 litres
D.
4,000 litres
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ANSWER :
A. 40,00,000 litres
23.
If a television set is sold at ₹ x, a loss of 28% would be incurred. If it is sold at ₹ y, a profit of 12% would be incurred. What is the ratio of y to x?
A.
41 : 9
B.
31 : 9
C.
23 : 9
D.
14 : 9
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ANSWER :
D. 14 : 9
24.
By increasing the speed of his car by 15 km/hr, a person covers a distance of 300 km by taking an hour less than before. What was the original speed of the car?
A.
45 km/hr
B.
50 km/hr
C.
60 km/hr
D.
75 km/hr
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ANSWER :
C. 60 km/hr
25.
Three persons start a business with capitals in the ratio \( \frac{1}{3} : \frac{1}{4} : \frac{1}{5} \). The first person withdraws half his capital after 4 months. What is his share of profit if the business fetches an annual profit of ₹ 96,800?
A.
₹ 32,000
B.
₹ 34,500
C.
₹ 36,000
D.
₹ 36,800
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ANSWER :
A. ₹ 32,000
26.
If x varies as y, then which of the following is/are correct?
1. \( x^{2} + y^{2} \) varies as \( x^{2} - y^{2} \)
2. \( \frac{x}{y^{2}} \) varies inversely as y
3. \( \sqrt[n]{x^{2}y} \) varies as \( \sqrt[2n]{x^{4}y^{2}} \)
Select the correct answer using the code given below:
A.
1 and 2 only
B.
2 and 3 only
C.
3 only
D.
1, 2 and 3
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ANSWER :
D. 1, 2 and 3
27.
Ena was born 4 years after her parents marriage. Her mother is 3 years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married?
A.
25 years
B.
24 years
C.
23 years
D.
22 years
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ANSWER :
C. 23 years
28.
Mahesh is 60 years old. Ram is 5 years younger to Mahesh and 4 years elder to Raju. Babu is a younger brother of Raju and he is 6 years younger. What is the age difference between Mahesh and Babu?
A.
18 years
B.
15 years
C.
13 years
D.
11 years
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ANSWER :
B. 15 years
29.
The number of items in a booklet is N. In the first year there is an increase of x% in this number and in the subsequent year there is a decrease of x%. At the end of the two years, what will be the number of items in the booklet?
A.
Less than N
B.
Equal to N
C.
More than N
D.
It depends on the value of N
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ANSWER :
A. Less than N
30.
If ab + xy - xb = 0 and bc + yz - cy = 0, then what is \( \frac{x}{a} + \frac{c}{z} \) equal to?
A.
\( \frac{y}{b} \)
B.
\( \frac{b}{y} \)
C.
1
D.
0
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ANSWER :
C. 1
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