CDS || Maths || Properties_Of_Number || Quiz_2020

A positive number, when increased by 10, equals 200 times its reciprocal. What is that number?

The last digit in the expansion of 17²⁵⁶ is

If x and y are two relatively prime numbers such that x+y=10 and x<y . How many pairs of (x,y) are possible ?

Which of the following is not a perfect number?

If n is a natural number and , where p₁, p₂, p₃ are distinct prime factors, then the number of prime factors for n is

Let p be a prime number other than 2 or 5. One would like to express the vulgar fraction 1/p in the form of a recurring decimal. Then the decimal will be

For how many prime numbers p, is (p² + 3p – 1) a prime number?

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?

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