Real Numbers

The exponent of 2 in the prime factorization of 144 is

• 4

• 5

• 6

• 3

The LCM of two numbers is 1200. Which of the following cannot be the their HCF?

• 600

• 500

• 400

• 200

If n=2³ x 3⁴ x 5⁴ x 7, then the number of consecutive zeroes in n, where n is a natural number, is

• 2

• 3

• 4

• 7

The sum of exponents of the prime factors in the prime factorization of 196, is

• 1

• 2

• 4

• 6

If two positive integers a and b are expressible in the form a=pq² and b=p³q; p, q being prime numbers, then LCM and HCF of a, b respectively are

• p²q² and pq

• p³q³ and pq

• pq³ and pq

• p³q² and pq

If two positive integers m and n are expressible in the form m = pq³ and n = p³q², where p and q are prime numbers, then HCF and LCM of m and n respectively are

• p³q² and p³q³

• pq² and p²q³

• pq² and p³q³

• pq² and pq

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

• 2

• 3

• 4

• 1

The HCF of 95 and 152, is

• 57

• 1

• 19

• 38

If HCF(26, 169) = 13, then LCM (26, 169)=

• 26

• 52

• 338

• 13

If a=2³x3, b=2x3x5, c=3ⁿx5 and LCM(a,b,c)=2³x3²x5, then n=

• 1

• 2

• 3

• 4