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Posted inUPSC 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?

Posted by By admin February 20, 2025
(UPSC CSAT - 2023) 0 7 8 9 Solution: Ans.(3) 199/(1+9+9) = Least, D = 199…
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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 ?

Posted by By admin February 20, 2025
(UPSC CSAT - 2023) 28 29 30 31 Solution: Ans.(4) ABC + DEF = 1111…
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What is the unit digit in the expansion of

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

Posted by By admin February 20, 2025
(UPSC CSAT - 2023) 0 1 2 4 Solution: Ans.(1) 100 = 5×5×4 The expression…
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For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by

Posted by By admin February 20, 2025
(UPSC CSAT - 2023) 7 and 11 only 11 and 13 only 7 and 13…
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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 ?

Posted by By admin February 15, 2025
(UPSC CSAT - 2023) 18 16 15 Can’t be determined due to insufficient data. Solution:…
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Consider the following in respect of prime number p and composite number c.

Posted by By admin February 15, 2025
1.  (p + c)/(p - c) can be even. 2.  2p + c  can be odd.…
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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:

Posted by By admin February 15, 2025
1. p + q + r – s – t  is definitely even. 2. 2p…
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What is the sum of all digits which appear in all the integers from 10 to 100 ? 

Posted by By admin February 7, 2025
(UPSC CSAT - 2023) 855 856 910 911 Solution: Ans.(2.) Every non-zero digit (1, 2,…
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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?

Posted by By admin February 7, 2025
(UPSC CSAT - 2023) 64 80 81 100 Solution: Ans.(3.) 111111111×111111111 = 12345678987654321 Sum of…
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