CDS Exam (II)- 2019 - Elementary Mathematics Defence Question Paper

CDS Previous Year Question Papers Question Papers
CDS Exam (II)- 2019 - Elementary Mathematics

CDS Exam (II)- 2019 - Elementary Mathematics Defence Questions

21.
A trader sells two computers at the same price, making a profit of 30% on one and a loss of 30% on the other. What is the net loss or profit percentage on the transaction?
A.
6% loss
B.
6% gain
C.
9% loss
D.
9% gain
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ANSWER :
C. 9% loss
22.
The monthly incomes of A and B are in the ratio 4 : 3. Each saves ₹600. If their expenditures are in the ratio 3 : 2, then what is the monthly income of A?
A.
₹1,800
B.
₹2,000
C.
₹2,400
D.
₹3,600
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ANSWER :
C. ₹2,400
23.
The train fare and bus fare between two stations is in the ratio 3 : 4. If the train fare increases by 20% and bus fare increases by 30%, then what is the ratio between revised train fare and revised bus fare?
A.
\( \frac{9}{13} \)
B.
\( \frac{17}{12} \)
C.
\( \frac{32}{43} \)
D.
\( \frac{19}{24} \)
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ANSWER :
A. \( \frac{9}{13} \)
24.
When N is divided by 17, the quotient is equal to 182. The difference between the quotient and the remainder is 175. What is the value of N?
A.
2975
B.
3094
C.
3101
D.
3269
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ANSWER :
C. 3101
25.
A stock of food grains is enough for 240 men for 48 days. How long will the same stock last for 160 men?
A.
72 days
B.
64 days
C.
60 days
D.
54 days
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ANSWER :
A. 72 days
26.
A hollow right circular cylindrical vessel of volume V whose diameter is equal to its height, is completely filled with water. A heavy sphere of maximum possible volume is then completely immersed in the vessel. What volume of water remains in the vessel?
A.
\( \frac{V}{2} \)
B.
\( \frac{V}{3} \)
C.
\( \frac{2V}{3} \)
D.
\( \frac{V}{4} \)
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ANSWER :
B. \( \frac{V}{3} \)
27.
Three parallel lines x, y and z are cut by two transversals m and n. Transversal m cuts the lines x, y, z at P, Q, R respectively; and Transversal n cuts the lines x, y, z at L, M, N respectively. If PQ = 3 cm, QR = 9 cm and MN = 10.5 cm, then what is the length of LM?
A.
3 cm
B.
3.5 cm
C.
4 cm
D.
4.5 cm
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ANSWER :
B. 3.5 cm
28.
The area of a sector of a circle of radius 4 cm is \( 25.6 cm^{2} \). What is the radian measure of the arc of the sector?
A.
2.3
B.
3.2
C.
3.3
D.
3.4
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ANSWER :
B. 3.2
29.
Which one of the following is correct in respect of a right-angled triangle?
A.
Its orthocentre lies inside the triangle
B.
Its orthocentre lies outside the triangle
C.
Its orthocentre lies on the triangle
D.
It has no orthocentre
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ANSWER :
C. Its orthocentre lies on the triangle
30.
Let the bisector of the angle BAC of a triangle ABC meet BC in X. Which one of the following is correct?
A.
AB < BX
B.
AB > BX
C.
AX = CX
D.
None of the above
😑 View Answer Error
ANSWER :
B. AB > BX
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