Numbers and their Relations UPSC Questions

Numbers and their Relations MCQ Questions

7.

The sum of three consecutive integers is equal to their product. How many such possibilities are there?

UPSC-2022

A.

Only one

B.

Only two

C.

Only three

D.

No such possibility is there

ANSWER :

C. Only three
The sum of three consecutive integers is equal to their product. How many such possibilities are there?

8.

The average weight of A, B, C is 40 kg. the average weight of B, D, E in 42 kg and the weight of F is equal to that of B What is the average weight of A, B, C, D. E and F?

UPSC-2022

A.

40.5 kg

B.

40.8 kg

C.

41 kg

D.

Cannot be determined as data is

ANSWER :

C. 41 kg
The average weight of A, B, C is 40 kg. the average weight of B, D, E in 42 kg and the weight of F is equal to that of B What is the average weight of A, B, C, D. E and F?

9.

Let A, B and C represent distinct non zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition.
Consider the following statements:
1. The 4-digit least value of x is 1332.
2. The 3-digit greatest value of x in 888.
Which of the above statements is/are correct?

UPSC-2022

A.

1 only

B.

2 only

C.

Both 1 and 2

D.

Neither 1 nor 2

ANSWER :

A. 1 only
Let A, B and C represent distinct non zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition. Consider the following statements: 1. The 4-digit least value of x is 1332. 2. The 3-digit greatest value of x in 888. Which of the above statements is/are correct?

10.

A person X wants to distribute some pens among six children A, B, C, D, E and F. Suppose A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?

UPSC-2022

A.

147

B.

150

C.

294

D.

300

ANSWER :

C. 294
A person X wants to distribute some pens among six children A, B, C, D, E and F. Suppose A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?

11.

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more to D. The number of coins D has now, is the smallest two digit number. How many coins does A have in the beginning?

UPSC-2022

A.

76

B.

68

C.

60

D.

52

ANSWER :

D. 52
A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more to D. The number of coins D has now, is the smallest two digit number. How many coins does A have in the beginning?

12.

How many numbers are there between 99 and 1000 such that the digit 8 occupies the units place?

UPSC-2017

A.

64

B.

80

C.

90

D.

104

ANSWER :

C. 90
How many numbers are there between 99 and 1000 such that the digit 8 occupies the units place?