Find the number of solutions in positive integers (k; a₁, a₂, . . . , ak; b₁, b₂, . . . , bk) to the equation a₁(b₁) + a₂(b₁ + b₂) + · · · + ak(b₁ + b₂ + . . . + bk) = 7

Find the number of triplets of real numbers (x, y, z) which satisfy (x + y)³ = z (y + z)³ = x (z + x)³ = y

If (c – 5) = 4c – 7, then which of the following could be the value of c?

Evaluation of 8³ × 8² × 8^-5    is:

The factors of x² + xy − 2 xyz −2z are:

If 7s + 2e = 14 and s – 2e = 5, then what is the value of s?

If a=b²-b,b³4,then a² -2a is always divisible by

If x + y > 4 and x < 3, then y > 1 is true.  Is this statement true?

If x3+ ax2+bx +6 has (x – 2) as a factor and leaves a remainder 3 when divided by (x – 3), the value of a and b respectively are

If x=2+2^2/3+2^1/3, then which of the following is true?