Real Numbers Class 10 Mcq Test (100101)

If p, q are two consecutive natural numbers, then HCF(p, q) is:

(a) q

(b) p

(c) 1

(d) pq

 \((\sqrt{2}-\sqrt{3})(\sqrt{3}+\sqrt{2})\) is:

(a) A rational number 

(b) a whole number

(c) an irrational number 

(d) a natural number

HCF and LCM of a and b are 19 and 152 respectively. If a=38, then b is equal to:

(a) 152

(b) 19   

(c) 38

(d) 76

If p, q are two prime numbers, then LCM(p, q) is:

(a) 1

(b) p

(c) q

(d) pq

If two positive integers p and q can be expressed as p=ab² and q=a³b, a, b being prime numbers, then LCM(p, q) is:

(a) ab    

(b) a²b²                                                                               

(c) a³b²                                                           

(b) a³b³

Given that HCF(253,  440) = 11 and LCM(253, 440) = 253×R. The value of R is:

(a) 400

(b) 40

(c) 440

(d) 253

The value of x in the factor tree is:

 (a)  30                                                

(b) 150                                   

(c) 100                        

(d) 50

If \(x=2^3 \times 3 \times 5^2\), \(y=2^2 \times 3^3\), then HCF(x, y) is:

(a) 12

(b) 108

(c) 6

(d) 36

Given that HCF(26, 91) = 13, then LCM of (26, 91) is:

(a) 2366 

(b) 182

(c) 91

(d) 364

The largest number which divides 71 and 126, leaving remainders 6 and 9 respectively is:

(a) 1750

(b) 13 

(c) 65 

(d) 875