English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.

For some integer p, every even integer is of the form ______.

For some integer p, every odd integer is of the form ______.

If two positive integers A and B can be expressed as A = xy3 and B = xiy²z; x, y being prime numbers, the LCM (A, B) is ______.

If two positive integers A and B can be expressed as A = xy³ and B = x⁴y²z; x, y being prime numbers then HCF (A, B) is ______.

The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is ______.

The product of two consecutive natural numbers is always ______.

The number in the form of 4p + 3, where p is a whole number, will always be ______.

When a number is divided by 7, its remainder is always ______.

According to the fundamental theorem of arithmetic, if T (a prime number) divides b², b > 0, then ______.

The ratio of LCM and HCF of the least composite and the least prime numbers is ______.

If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is ______.

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

For some integer q, every odd integer is of the form ______.

n² – 1 is divisible by 8, if n is ______.

If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is ______.

Explain why 3 × 5 × 7 + 7 is a composite number.

If two positive integers a and b are written as a = x³ y² and b = xy³; x, y are prime numbers, then HCF (a, b) is ______.

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 ______.