UPSC CDS Previous Year Papers>Chapter 4 - UPSC CDS (II) Previous Year Paper 2018>Elementary Mathematics>Q 20

MEDIUM

UPSC CDS

IMPORTANT

Earn 100

The number of sides of two regular polygons is in the ratio $5 : 4$ . The difference between their interior angles is $9 °$ . Consider the following statements:

$1)$ One of them is a pentagon and the other is a rectangle.

$2)$ One of them is a decagon and the other is an octagon.

$3)$ The sum of their exterior angles is $720 °$ .

Which of the above statements is/are correct?

50% studentsanswered this correctly

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 21

The minimum value of the expression

2 x^{2} + 5 x + 5

is:

EASY

UPSC CDS

IMPORTANT

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

If

H

is the harmonic mean between

P

and

Q

then the value of

\frac{H}{P} + \frac{H}{Q}

is :

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

MEDIUM

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: