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UPSC CSAT

D is a 3-digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the digit at the hundred’s place and the digit at the unit’s place of D?

By admin February 20, 2025

(UPSC CSAT - 2023) 0 7 8 9 Solution: Ans.(3) 199/(1+9+9) = Least, D = 199…

UPSC CSAT

If ABC and DEF are both 3-digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that ABC + DEF = 1111, then what is the value of A + B + C + D + E + F ?

By admin February 20, 2025

(UPSC CSAT - 2023) 28 29 30 31 Solution: Ans.(4) ABC + DEF = 1111…

UPSC CSAT

What is the unit digit in the expansion of

By admin February 20, 2025

(57242)9×7×5×3×1 (UPSC CSAT - 2023) 2 4 6 8 Solution: Ans.(1) When 9×7×5×3×1 is…

UPSC CSAT

What is the remainder when 85 × 87 × 89 × 91 × 95 × 96 is divided by 100?

By admin February 20, 2025

(UPSC CSAT - 2023) 0 1 2 4 Solution: Ans.(1) 100 = 5×5×4 The expression…

UPSC CSAT

For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by

By admin February 20, 2025

(UPSC CSAT - 2023) 7 and 11 only 11 and 13 only 7 and 13…

UPSC CSAT

A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A + B + C ?

By admin February 15, 2025

(UPSC CSAT - 2023) 18 16 15 Can’t be determined due to insufficient data. Solution:…

UPSC CSAT

Consider the following in respect of prime number p and composite number c.

By admin February 15, 2025

1. (p + c)/(p - c) can be even. 2. 2p + c can be odd.…

UPSC CSAT

Three of the five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following:

By admin February 15, 2025

1. p + q + r – s – t is definitely even. 2. 2p…

UPSC CSAT

What is the sum of all digits which appear in all the integers from 10 to 100 ?

By admin February 7, 2025

(UPSC CSAT - 2023) 855 856 910 911 Solution: Ans.(2.) Every non-zero digit (1, 2,…

UPSC CSAT

Each digit of a 9-digit number is 1. It is multiplied by itself. What is the sum of the digits of the resulting number?

By admin February 7, 2025

(UPSC CSAT - 2023) 64 80 81 100 Solution: Ans.(3.) 111111111×111111111 = 12345678987654321 Sum of…

Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number :

If 15 × 14 × 13 ×…………× 3 × 2 × 1 = 3^m × n, where m and n are positive integers, then what is the maximum value of m?

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

What is the number of numbers of the form 0.XY, where X and Y are distinct nonzero digits?

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.

Let pp, qq and rr be 2-digit numbers where p < q < r. If pp + qq + rr = tt0, where tt0 is a 3-digit number ending with zero, consider the following statements:

How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers ?

AB and CD are 2-digit numbers. Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI results in 975. Further A, B, C, D, E, F, G, H, I are distinct digits. If E = 0, F = 8 then what is A + B + C equal to ?

What is the remainder if 2^192 is divided by 6 ?

D is a 3-digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the digit at the hundred’s place and the digit at the unit’s place of D?

If ABC and DEF are both 3-digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that ABC + DEF = 1111, then what is the value of A + B + C + D + E + F ?

What is the unit digit in the expansion of

What is the remainder when 85 × 87 × 89 × 91 × 95 × 96 is divided by 100?

For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by

A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A + B + C ?

Consider the following in respect of prime number p and composite number c.

Three of the five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following:

What is the sum of all digits which appear in all the integers from 10 to 100 ?

Each digit of a 9-digit number is 1. It is multiplied by itself. What is the sum of the digits of the resulting number?

Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number :

If 15 × 14 × 13 ×…………× 3 × 2 × 1 = 3^m × n, where m and n are positive integers, then what is the maximum value of m?

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

What is the number of numbers of the form 0.XY, where X and Y are distinct nonzero digits?