Numbers and their Relations UPSC Questions

Numbers and their Relations MCQ Questions

13.

There are three pillars X, Y and Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance, A climbs on X by 6 cm but slips down 1 cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of them requires 40 chances to reach the top of the pillars, what is the height of the shortest pillar?

UPSC-2017

A.

161 cm

B.

163 cm

C.

182 cm

D.

210 cm

ANSWER :

B. 163 cm
There are three pillars X, Y and Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance, A climbs on X by 6 cm but slips down 1 cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of them requires 40 chances to reach the top of the pillars, what is the height of the shortest pillar?

14.

X and Y are natural numbers other than 1, and Y is greater than X, which of the following represents the largest number?

UPSC-2018

A.

XY

B.

X/Y

C.

Y/X

D.

(X+Y)/XY

ANSWER :

A. XY
X and Y are natural numbers other than 1, and Y is greater than X, which of the following represents the largest number?

15.

A number consists of three digits of which the middle one is zero and their sums is 4. If the number formed by interchanging the first and last digits is greater than the number itself by 198, then the difference between the first and last digits is

UPSC-2018

A.

1

B.

2

C.

3

D.

4

ANSWER :

B. 2
A number consists of three digits of which the middle one is zero and their sums is 4. If the number formed by interchanging the first and last digits is greater than the number itself by 198, then the difference between the first and last digits is

16.

A bookseller sold 'a' number of Geography textbooks at the rate of ₹ x per book, 'a+2' number of History textbooks at the rate of ₹ (x+2) per book and 'a-2' number of Mathematics textbooks at the rate of ₹ (x-2) per book. What is his total sale in ₹?

UPSC-2018

A.

3x+3a

B.

3ax+8

C.

9ax

D.

x3a3

ANSWER :

B. 3ax+8
A bookseller sold 'a' number of Geography textbooks at the rate of ₹ x per book, 'a+2' number of History textbooks at the rate of ₹ (x+2) per book and 'a-2' number of Mathematics textbooks at the rate of ₹ (x-2) per book. What is his total sale in ₹?

17.

Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

UPSC-2021

A.

Monday

B.

Wednesday

C.

Thursday

D.

Sunday

ANSWER :

B. Wednesday
Joseph visits the club on every 5th day, Harsh visits on every 24th day, while Sumit visits on every 9th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?

18.

A 2-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder?

UPSC-2017

A.

9

B.

27

C.

36

D.

45

ANSWER :

D. 45
A 2-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder?