English Medium इयत्ता १० - CBSE Question Bank Solutions for Mathematics

Express the number as a product of its prime factor:

7429

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.

510 and 92

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.

336 and 54

Find the LCM and HCF of the following integers by applying the prime factorisation method.

17, 23 and 29

Find the LCM and HCF of the following integers by applying the prime factorisation method.

8, 9 and 25

LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.

There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet?

Express 98 as a product of its primes.

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 ______.