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Quick Quiz on Number System

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Question 1

Find the last digit of ×

Question 2

Find the maximum power of 9 in 121!

Question 3

A certain number written in a certain base is 144. Which of the following is always true?
I. Square root of the number written in the same base is 12
II. If base is increased by 2, the number becomes 100

Question 4

Which of the terms 21/3, 31/4, 41/6, 61/8 and 101/12 is the largest ?

Question 5

The question is followed by two statements, I and II.
If x, y and z are real numbers, is (z – x) even or odd?
I. xyz is odd.
II. xy + yz + zx is even.
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Aug 23CAT & MBA