English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

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 ______.

The number of polynomials having zeroes as -2 and 5 is ______.

Given that one of the zeroes of the cubic polynomial ax³ + bx² + cx + d is zero, the product of the other two zeroes is ______.

If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is -1, then the product of the
other two zeroes is ______.

The zeroes of the quadratic polynomial x2 + 99x + 127 are ______.

10. The zeroes of the quadratic polynomial x² + kx + k, k? 0.

If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.

If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.

A quadratic polynomial, whose zeores are -4 and -5, is ______.