CDS Exam (I)- 2017 - Elementary Mathematics Defence Question Paper

CDS Previous Year Question Papers Question Papers
CDS Exam (I)- 2017 - Elementary Mathematics

CDS Exam (I)- 2017 - Elementary Mathematics Defence Questions

31.
A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?
A.
4 a.m.
B.
2 a.m.
C.
12 midnight
D.
6 a.m.
ANSWER :
D. 6 a.m.
32.
In a class of 49 students, the ratio of girls to boys is 4 : 3. If 4 girls leave the class, the ratio of girls to boys would be
A.
11 : 7
B.
8 : 7
C.
6 : 5
D.
9 : 8
ANSWER :
B. 8 : 7
33.
If \( a + b = 5 \) and \( ab = 6 \), then what is the value of \( a^{3} + b^{3} \)?
A.
35
B.
40
C.
90
D.
125
ANSWER :
A. 35
34.
Rajendra bought a mobile with 25% discount on the selling price. If the mobile cost him ₹ 4,875, what is the original selling price of the mobile?
A.
₹ 6,300
B.
₹ 6,400
C.
₹ 6,500
D.
₹ 6,600
ANSWER :
C. ₹ 6,500
35.
A 225 m long train is running at a speed of 30 km/hour. How much time does it take to cross a man running at 3 km/hour in the same direction?
A.
40 seconds
B.
30 seconds
C.
25 seconds
D.
15 seconds
ANSWER :
B. 30 seconds
36.
Which one among the following is the largest?
A.
\( \frac{7}{9} \)
B.
\( \frac{11}{14} \)
C.
\( \frac{8}{11} \)
D.
\( \frac{10}{13} \)
ANSWER :
B. \( \frac{11}{14} \)
37.
The difference between the simple and the compound interest on a certain sum of money at 4% per annum in 2 years is ₹ 10. What is the sum?
A.
₹ 5,000
B.
₹ 6,000
C.
₹ 6,250
D.
₹ 7,500
ANSWER :
C. ₹ 6,250
38.
If a% of a + b% of b = 2% of ab, then what percent of a is b?
A.
50%
B.
75%
C.
100%
D.
Cannot be determined
ANSWER :
C. 100%
39.
\( \frac{5}{9} \) part of the population in a village are males. If 30% of the males are married, the percentage of unmarried females in the total population is
A.
\( 20\frac{2}{5} \)
B.
\( 27\frac{2}{9} \)
C.
\( 27\frac{7}{9} \)
D.
\( 29\frac{2}{9} \)
ANSWER :
C. \( 27\frac{7}{9} \)
40.
Sunil wants to spend ₹ 200 on two types of sweets, costing ₹ 7 and ₹ 10 respectively. What is the maximum number of sweets he can get so that no money is left over?
A.
25
B.
26
C.
27
D.
28
ANSWER :
B. 26