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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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  • 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 :
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