CDS Exam (I)- 2026 - Elementary Mathematics Defence Question Paper

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CDS Exam (I)- 2026 - Elementary Mathematics

CDS Exam (I)- 2026 - Elementary Mathematics Defence Questions

11.
Seven times a two-digit positive number is equal to four times the number obtained by reversing the order of the digits. How many such two-digit numbers are there?
A.
1
B.
4
C.
6
D.
8
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ANSWER :
B. 4
12.
In what duration of time will ₹3300 become ₹3399 at 12% per annum interest compounded quarterly?
A.
3 months
B.
6 months
C.
9 months
D.
1 year
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ANSWER :
A. 3 months
13.
If \( x \) varies directly as \( y \), then which of the following is/are correct?
I. \( (x^{2} + y^{2}) \) varies directly as \( y^{2} \).
II. \( \left(\frac{x^{3}}{y^{4}}\right) \) varies directly as \( y \).
Select the answer using the code given below:
A.
I only
B.
II only
C.
Both I and II
D.
Neither I nor II
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ANSWER :
A. I only
14.
X can do a piece of work in 4 days and Y can do the same piece of work in 6 days. Which of the following statements is/are correct?
I. If X and Y work alternately starting with X, then the piece of work will be finished on the fifth day.
II. If X and Y work alternately starting with Y, then the piece of work will be finished in less than 5 days.
Select the answer using the code given below:
A.
I only
B.
II only
C.
Both I and II
D.
Neither I nor II
😑 View Answer Error
ANSWER :
A. I only
15.
12 men working 8 hours a day can completely build a wall of length 100 m, breadth 20 cm and height 5 m in 10 days. How many days will 16 men working 10 hours a day require to build a wall of length 200 m, breadth 60 cm and height 5 m?
A.
18
B.
24
C.
27
D.
36
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ANSWER :
D. 36
16.
A train P starts from station X for station Y and another train Q starts from station Y for station X at the same time. After passing each other, P takes 4 hours to reach Y and Q takes 1 hour to reach X. If the average speed of P is 60 km/h, then what is the average speed of Q?
A.
72 km/h
B.
80 km/h
C.
96 km/h
D.
120 km/h
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ANSWER :
D. 120 km/h
17.
Without stoppages, a train travels at an average speed of 60 km/h and with stoppages it covers the same distance at an average speed of 48 km/h. How many minutes per hour does the train stop?
A.
10 minutes
B.
12 minutes
C.
15 minutes
D.
20 minutes
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ANSWER :
B. 12 minutes
18.
A person goes downstream at \( x \) km/h and upstream at \( y \) km/h by the same boat. What is the ratio of speed of boat in still water to speed of water?
A.
\( \frac{x}{y} \)
B.
\( \frac{y}{x} \)
C.
\( \frac{(x + y)}{(x - y)} \)
D.
\( \frac{(x - y)}{(x + y)} \)
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ANSWER :
C. \( \frac{(x + y)}{(x - y)} \)
19.
Let \( Q = x^{2} + bx + c \). If the sum of the roots is equal to product of the roots of the equation \( Q = 0 \), then which of the following statements is/are correct?
I. Q can be a perfect square.
II. Q is positive for all real values of \( x \).
Select the answer using the code given below:
A.
I only
B.
II only
C.
Both I and II
D.
Neither I nor II
😑 View Answer Error
ANSWER :
A. I only
20.
The ratio of the present age of X to that of Y is 4 : 5. k (less than 10) years ago, this ratio was 1 : 2. How many values of k are possible if the ages are expressed in complete years?
A.
1
B.
2
C.
3
D.
More than 3
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ANSWER :
C. 3
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