Class 10 - Real numbers

If N1 when divided by d leaves a reminder R, then which number is exactly divisible by d?

• N1-R+d

• N1+R-d

• N1-R

• N1+R

For two real numbers, the product of their LCM and GCD is equal to

• Product of two numbers

• Sum of two numbers

• Difference between two numbers

• Ratio of two numbers

A rational number can always be represented in the form of p/q where p and q are

• both integers

• p is an integer and q is a natural number

• Both are non zero integers

• p is an integer & q is a non zero integer.

LCM & HCF of three numbers 2³x3⁵x5² , 3³x5³ and 2⁵x5³ are

• LCM = 2³x3⁵x5² AND HCF = 2³x3⁵x5²

• LCM = 2³x3⁵x5³ AND HCF = 2³x3³x5²

• LCM = 5³ and HCF = 2³x3³x5²

• LCM = 2⁵x3⁵x5³ and HCF = 5²

Which of the following are true? There may be multiple correct answers

• LCM and HCF are co-prime

• All the factors of LCM will also be factors of HCF

• All the factors of HCF will also be factors of LCM

• HCF should divide LCM (without a reminder)

Least prime number and least composite numbers are

• 1 & 2

• 3 & 4

• 4 & 2

• 2 & 4