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# AFCAT || Numerical_Ability || Properties Of Number_Quiz_2020

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Question 1

What is the sum of the two numbers (11110)2 and (1010)2?

Question 2

The number 251 in decimal system is expressed in binary system by:

Question 3

Consider the following statements:

1. There exists only one prime number p such that (17p + 1) is a square.

2. If x is the product of 10 consecutive prime numbers starting from 2, then (x + 1) is also a prime number.

Which of the above statements is/are correct?

Question 4

Consider the following statements for the sequence of numbers gives below:

11, 111, 1111, 11111, ...

1. Each number can be expressed in the form (4m + 3), where m is a natural number.

2. Some numbers are squares.

Which of the above statements is/are correct?

Question 5

The product of four consecutive natural numbers plus one is

Question 6

The sum of two numbers is 9 and the sum of their square is 41. The product of the two numbers is,

Question 7

If p and q are any real numbers such that 0 ≤ q ≤ 1, and p + q = 2, then what is the maximum value of that product.

Question 8

The smallest number of six digit which is a perfect square is:

Question 9

Consider the following statements

i. 2 is the only even number which is prime

ii. 103 is the smallest 3 digit number which is prime

iii. A number having 3 zeros at the end can never be a perfect square number.

Which of the statement(s) given above is/are correct?

Question 10

Consider the following statements

i. (2,3) is a pair of relatively prime number

ii. All pairs of twin prime are also relatively prime number.

iii.

Which of the statement(s) given above is/are correct?

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