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

CDS Previous Year Question Papers Question Papers
CDS Exam (I)- 2018 - Elementary Mathematics

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

31.
At present the average of the ages of a father and a son is 25 years. After seven years the son will be 17 years old. What will be the age of the father after 10 years?
A.
44 years
B.
45 years
C.
50 years
D.
52 years
ANSWER :
C. 50 years
32.
If 5 tractors can plough 5 hectares of land in 5 days, then what is the number of tractors required to plough 100 hectares in 50 days?
A.
100
B.
20
C.
10
D.
5
ANSWER :
C. 10
33.
A merchant commences with a certain capital and gains annually at the rate of 25%. At the end of 3 years he has ₹ 10,000. What is the original amount that the merchant invested?
A.
₹ 5,120
B.
₹ 5,210
C.
₹ 5,350
D.
₹ 5,500
ANSWER :
A. ₹ 5,120
34.
Which one of the following decimal numbers is a rational number with denominator 37?
A.
0.459459459...
B.
0.459459459
C.
0.0459459459...
D.
0.00459459...
ANSWER :
A. 0.459459459...
35.
The annual income of a person decreases by ₹ 64 if the annual rate of interest decreases from 4% to 3.75%. What is the capital from which he gets this income?
A.
₹ 24,000
B.
₹ 25,000
C.
₹ 25,600
D.
₹ 24,600
ANSWER :
C. ₹ 25,600
36.
For 0 < m < 1, which one of the following is correct?
A.
\( \log_{10} m < m^{2} < m < m^{-1} \)
B.
\( m < m^{-1} < m^{2} < \log_{10} m \)
C.
\( \log_{10} m < m < m^{-1} < m^{2} \)
D.
\( \log_{10} m < m^{-1} < m < m^{2} \)
ANSWER :
A. \( \log_{10} m < m^{2} < m < m^{-1} \)
37.
A gentleman left a sum of ₹ 39,000 to be distributed after his death among his widow, five sons and four daughters. If each son receives 3 times as much as a daughter receives, and each daughter receives twice as much as their mother receives, then what is the widow’s share?
A.
₹ 1,000
B.
₹ 1,200
C.
₹ 1,500
D.
None of the above
ANSWER :
A. ₹ 1,000
38.
Three numbers which are co-prime to each other, are such that the product of the first two is 286 and that of the last two is 770. What is the sum of the three numbers?
A.
85
B.
80
C.
75
D.
70
ANSWER :
D. 70
39.
The age of a woman is a two-digit integer. On reversing this integer, the new integer is the age of her husband who is elder to her. The difference between their ages is one-eleventh of their sum. What is the difference between their ages?
A.
8 years
B.
9 years
C.
10 years
D.
11 years
ANSWER :
B. 9 years
40.
A passenger train and a goods train are running in the same direction on parallel railway tracks. If the passenger train now takes three times as long to pass the goods train, as when they are running in opposite directions, then what is the ratio of the speed of the passenger train to that of the goods train?
(Assume that the trains run at uniform speeds)
A.
2 : 1
B.
3 : 2
C.
4 : 3
D.
1 : 1
ANSWER :
A. 2 : 1