Mathematics Quiz

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

• xy²

• x⁴y²z

• x⁴y³

• x⁴y³z

If the LCM of 12 and 42 is 10 m + 4 then the value of m is

• 50

• 8

• 1/5

• 1

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?

• 360

• 295

• 270

• 240

If α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is

• 0

• 4

• -4

• 16

If α and 1/α are the zeroes of the polynomial ax² + bx + c, then value of c is

• 0

• a

• -a

• 1

If α and β are zeroes of the quadratic polynomial x2 – 6x + a; find the value of ‘a’ if 3α + 2β = 20.

If one zero of the polynomial (a2 – 9) x²+ 13x + 6a is reciprocal of the other, find the value of ‘a’.

If x + a is a factor of the polynomial x2 + px + q and x2 + mx + n prove that n-q/m-p

If the product of zeroes of the polynomial ax²– 6x – 6 is 4, find the value of ‘a’.

Find the value of ‘k’ such that the quadratic polynomial 3x² + 2kx + x – k – 5 has the sum of zeroes as half of their product.