English Medium इयत्ता १० - CBSE Question Bank Solutions

Find the distance between the points (a, b) and (−a, −b).

How many multiples of 4 lie between 10 and 205?

In what ratio does the point P(−4, y) divides the line segment joining the points A(−6, 10) and B(3, −8)? Hence find the value of y.

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 ______.

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is ______.

If one of the zeroes of the quadratic polynomial (k – 1) x² + kx + 1 is - 3, then the value of k is ______.

A quadratic polynomial, whose zeroes are -3 and 4, is ______.

If the zeroes of the quadratic polynomial x² + (a + 1) x + b are 2 and –3, then ______.