# Real number class 10 mcq online test with answer

Practice these MCQ and true-false questions of the real number to check your progress.

Q.1 The exponent of 2 in the prime factorization of 144

(a) 4

(b) 5

(c) 6

(d)3

Q.2 If the LCM of a and 18 is 36 and the HCF of a and 18 is 2 ,then a =

(a) 2

(b) 3

(c) 4

(d) 1

Q.3 For some integer m , every even integer is of the form

(a) m

(b) m +1

(c) 2m

(d) 2m +1

Q.4 n² – 1 is divisible by 8, if n is

(a) an integer

(b) a natural number

(c) an odd integer

(d) an even integer

Q.5 The least number that is divisible by all numbers from 1 to 10 (both inclusive) is

(a) 10

(b) 100

(c) 504

(d) 2520

Q.6 If the HCF of 65 and 117 is expressible in the form 65 m -117 ,then the value of m is

(a) 4

(b) 2

(c) 1

(d) 3

Q .7 If p and q are co-prime numbers ,then p² and q² are

(a) co prime

(b) not coprime

(c) even

(d) odd

Q.8 If two positive integers a and b are expressible in the form a= pq² and b=p³q ; p,q being prime numbers ,then LCM (a,b) is

(a) pq

(b) p³q³

(c) p³q²

(d) p²q²

Q.9 The decimal expansion of the rational number \frac{14587}{1250} will terminate after

(a) One decimal place

(b) two decimal place

(c) three decimal place

(d) four decimal place

Q.10 Euclid’s division lemma states that for two positive integers a and b , there exists unique integers q and r such that a=bq + r , where r must satisfy

(a) 1 < r < b

(b) 0 < r ≤ b

(c) 0 ≤ r < b

(d) 0 < r < b

Real number class 10 true / false

Q.1 The sum of two prime numbers is always a prime number

(True /False)

Q.2 π is an irrational number

(True /False)

Q.3 The product of two irrational numbers is an irrational number

(True/False)

Q.4 HCF of two numbers is always a factor of their LCM

(True/False)

Q.5 Two numbers have 12 as their HCF and 350 as their LCM

(True/False)