Real Number Test 1 (Class 10)

 $\pi\ -\ \frac{22}{7}$  is a 

• Rational number

• Irrational number

• Both

• Cannot be determined

Euclid’s Division Lemma states that for any two positive integers a and b, there exists unique integers q and r such that a = bq + r, where r must satisfy

• $0\le r<b$

• $0<r\le b$

• $1<r<b$

• $a<r<b$

All irrational numbers are

• Natural

• Whole

• Integer

• Real

 $\left(2\ +\sqrt{5}\right)\left(2\ +\ \sqrt{5}\right)$  is a

• Rational number

• A whole number

• Irrational number

• A natural number

Let a and b are co-prime, then  $a^2$  and  $b^2$  are

• even numbers   

• odd numbers

• co-prime

• not co-primes

If d = HCF (48, 72), then the value of d is

• 72

• 48

• 12

• 24

The ( HCF X LCM), for the numbers 50 and 20 is

• 10

• 100

• 1000

• 50

The statement "The product of three consecutive natural numbers is always divisible by 6" is

• True

• False

• Cannot be determined

Given that LCM ( 91, 26) = 182 then HCF ( 91, 26) is

• 91

• 26

• 13

• 7

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

• 10

• 100

• 504

• 2520