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# Quantitative Aptitude || Super Quiz 13 || 2018-19 (App update required to attempt this test)

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Question 1

The remainder when 2

^{45}is divided by 5 isQuestion 2

If x, y, z are any real numbers then the minimum possible value of x

^{2}+ 2y^{2}+ z^{2}+ 2yz subject to x + 2y + z = –6 isQuestion 3

When 55

^{55}is divided by 8, the remainder must beQuestion 4

Consider the number p = 0.787878 … Then which of the following is true?

Question 5

Let X = the set of real numbers, Y = the set of rational numbers, Z = the set of integers and W = the set of positive numbers. Then which of the following is true?

Question 6

Eight men and two women stand in a ring. Assuming all arrangements are equally likely, what is the probability that the two women are separated by at least three men in both directions?

Question 7

How many integers from 1 to 500 are divisible by exactly two of the three numbers 3, 5 and 7?

Question 8

A fair die has its faces marked 1, 3, 5, 7, 9 and 11. When the die is thrown, the

*score*is the mark on the top face. Given that on the particular occasion, when the die was thrown thrice in succession, the*score*in each throw was ≤ 5, what is the probability that the total*score*was 11?Question 9

The sum of the series 1/(3 × 7) + 1/(7 × 11) + 1/(11 × 15) + … is

Question 10

The sum of all natural numbers between 200 and 400 which are divisible by 11 is

Question 11

The number of 6-digit positive integers other than 556675 that can be formed by rearranging the digits of 556675 so that no digit appears at its original position (for example, 6 cannot occur in the third or fourth position from left) is

Question 12

A boy needs to climb a staircase of 10 stairs. At each step he can cover either one stair or two stairs. The number of different ways in which he can climb the staircase is

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