UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 22

EASY

UPSC CDS

IMPORTANT

Earn 100

If $H$ is the harmonic mean between $P$ and $Q$ then the value of $\frac{H}{P} + \frac{H}{Q}$ is :

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Important Questions on UPSC CDS (II) Previous Year Paper 2018

EASY

UPSC CDS

IMPORTANT

UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 23

The sum of all possible products taken two at a time out of the numbers

\pm 1, \pm 2, \pm 3, \pm 4

is:

MEDIUM

UPSC CDS

IMPORTANT

UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 24

The remainder when

3 x^{3} - 2 x^{2} y - 13 x y^{2} + 10 y^{3}

is divided by

(x - 2 y)

is equal to

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UPSC CDS

IMPORTANT

UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 25

If $a b + b c + c a = 0$ , then the value of

$\frac{(b^{2} - a c) (c^{2} - a b) + (a^{2} - b c) (c^{2} - a b) + (b^{2} - a c) (a^{2} - b c)}{(a^{2} - b c) (c^{2} - a b) (b^{2} - a c)}$ is

MEDIUM

UPSC CDS

IMPORTANT

UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 26

What is the principal amount which earns ₹

210

as compound interest for the second year at

5 %

per annum?

EASY

UPSC CDS

IMPORTANT

UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 27

In an examination,

50 %

of the candidates failed in English,

40 %

failed in Hindi and

15 %

failed in both the subjects. The percentage of candidates who passed in both English and Hindi is:

EASY

UPSC CDS

IMPORTANT

UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 28

A train

100 m

long passes a platform

100 m

long in

10 seconds

. The speed of the train is:

EASY

UPSC CDS

IMPORTANT

UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 29

A cyclist covers his first

20

km at an average speed of

40

kmph, another

10

km at an average speed of

10

kmph, and the last

30

km at an average speed of

40

kmph. Then the average speed of entire journey is:

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UPSC CDS

IMPORTANT

UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 30

In a race of

1000

m,

A

beats

B

by

150

m. while in another race of

3000

m,

C

beats

D

by

400

m, Speed of

B

is equal to that of

D .

(Assume that

A, B, C

and

D

run with unifrom speed in all the events). If

A

and

C

participate in a race of

6000

m, then which one of the following is correct?