Challenge Prelims V1.0 – Day 14 – CSAT Paper

1. For what value of n, the sum of digits in the number 10ⁿ + 1 is 2 (UPSC 2020)

(a) For n=0 only

(b) For any whole number n

(c) For any positive integer n only

(d) For any real number n

2. Which is the largest number among ∛3, ∜4, √(6&6)

(a) ∛3

(b) ∜4

(c) √(6&6)

(d) Cannot determine

3. What is the digit at unit place for 2016²⁰¹⁵– 2015²⁰¹⁶

(a) 0

(b) 1

(c) 5

(d) 6

4. What is the unit digit in the number 512⁵⁶¹ X 563⁵⁶¹?

(a) 2

(b) 3

(c) 6

(d) 8

5. The product of 8! and x is equal to a perfect square. If x is the smallest value possible and x is positive integer, what is the value of x?

(a) 15

(b) 20

(c) 35

(d) 70

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