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

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

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

31.
Which one of the following is a correct statement?
A.
\( \{x : x + 5 = 5\} = 0 \)
B.
\( \{x : x + 5 = 5\} = \{0\} \)
C.
\( \{x : x + 5 = 5\} = \phi \)
D.
\( \{x : x + 5 = 5\} = \{\phi\} \)
😑 View Answer Error
ANSWER :
B. \( \{x : x + 5 = 5\} = \{0\} \)
32.
If ab + bc + ca = 0, then what is the value of \( \frac{a^{2}}{a^{2} - bc} + \frac{b^{2}}{b^{2} - ca} + \frac{c^{2}}{c^{2} - ab} \)?
A.
3
B.
0
C.
1
D.
−1
😑 View Answer Error
ANSWER :
C. 1
33.
In an examination, 35% students failed in Hindi, 45% students failed in English and 20% students failed in both the subjects. What is the percentage of students passing in both the subjects?
A.
0
B.
20
C.
30
D.
40
😑 View Answer Error
ANSWER :
D. 40
34.
What is \( \frac{(x - y)(y - z)(z - x)}{(x - y)^{3} + (y - z)^{3} + (z - x)^{3}} \) equal to?
A.
\( \frac{1}{3} \)
B.
\( -\frac{1}{3} \)
C.
3
D.
−3
😑 View Answer Error
ANSWER :
A. \( \frac{1}{3} \)
35.
The value of \( \sqrt{1 + \sqrt{1 + \sqrt{1 + \ldots}}} \)
A.
Equals to 1
B.
Lies between 0 and 1
C.
Lies between 1 and 2
D.
Is greater than 2
😑 View Answer Error
ANSWER :
C. Lies between 1 and 2
36.
If \( \log_{10} 6 = 0.7782 \) and \( \log_{10} 8 = 0.9031 \), then what is the value of \( \log_{10} 8000 + \log_{10} 600 \)?
A.
4.6813
B.
5.5813
C.
1.5813
D.
6.6813
😑 View Answer Error
ANSWER :
D. 6.6813
37.
30 men can complete a job in 40 days. However, after 24 days some men out of the assigned 30 left the job. The remaining people took another 40 days to complete the job. The number of men who left the job is
A.
24
B.
18
C.
12
D.
6
😑 View Answer Error
ANSWER :
B. 18
38.
4 goats or 6 sheep can graze a field in 50 days. 2 goats and 3 sheep will graze it in
A.
200 days
B.
150 days
C.
100 days
D.
50 days
😑 View Answer Error
ANSWER :
D. 50 days
39.
A tap can fill a tub in 10 hours. After opening the tap for 5 hours it was found that a small outlet at the bottom of the tub was open and water was leaking through it. It was then immediately closed. It took 7 hours to fill the tub after closing the outlet. What time will be taken by the outlet to empty the full tub of water?
A.
35 hours
B.
25 hours
C.
20 hours
D.
17 hours
😑 View Answer Error
ANSWER :
B. 25 hours
40.
A boy went to his school at a speed of 12 km/hr and returned to his house at a speed of 8 km/hr. If he has taken 50 minutes for the whole journey, what was the total distance walked?
A.
4 km
B.
8 km
C.
16 km
D.
20 km
😑 View Answer Error
ANSWER :
B. 8 km
Prev Next page