MENU

RD Chapter 1 Real Numbers Ex VSAQS Solutions

Question - 21 : - HCF of two numbers is always a factor of their LCM (True / False).

Answer - 21 : - True.

Question - 22 : - π is an irrational number (True / False).

Answer - 22 : - True as value of π is neither terminating nor repeating.

Question - 23 : - The sum of two prime numbers is always a prime number (True / False).

Answer - 23 : -

False. Sum of two prime numbers can be a composite number
e.g. 3 and 5 are prime numbers but their sum 3 + 5 = 8 is a composite number.

Question - 24 : - The product of any three consecutive natural numbers is divisible by 6 (True / False).

Answer - 24 : - True.

Question - 25 : - Every even integer is of the form 2m, where m is an integer (True / False).

Answer - 25 : - True, as 2m is divisible by 2.

Question - 26 : - Every odd integer is of the form 2m – 1, where m is an integer (True / False).

Answer - 26 : - True, as 2m is an even number but if we subtract 1 from it, it will be odd number.

Question - 27 : - The product of two irrational numbers is an irrational number (True / False).

Answer - 27 : -

False, as it is not always possible that the product of two irrational number be also an irrational number, it may be a rational number
for example
√3 x √3 = 3, √7 x √7 = 7

Question - 28 : - The sum of two irrational numbers is an irrational number (True / False).

Answer - 28 : -

False, as it is not always possible that the sum of two irrational is also an irrational number, it may be rational number also.
For example
(2 + √3) + (2 – √3) = 2 + √3 + 2 – √3 = 4

Question - 29 : - For what value of n, 2n x 5n ends in 5.

Answer - 29 : -

In 2n x 5n ,
There is no such value of n, which satisifies the given condition.

Question - 30 : - If a and b are relatively prime numbers, then what is their HCF ?

Answer - 30 : -

a and b are two prime numbers
Their HCF =1

Free - Previous Years Question Papers
Any questions? Ask us!
×