Suppose n is an integer such that the sum of the digits of n is 2, and 10¹⁰ <n < 10¹¹, The number of different values for n is

If z = x + iy is a complex number such that iz = 2 + 3i, then the value of x − y is

The age of Q exceeds the age of P by 3 years. The age of R is twice the age of P and the age of Q is twice the age of S. Further, the age difference of R and S is 30 years. What is the sum of the age…

If x + (1/y) = 1 and y + (1/z) = 1, then the value of z + (1/x) is

One fourth of the sum of the odd numbers greater than 14 but less than 50 is the square of -

If a, b, c, d, e and f satisfy 2a = 3b = 6c = 9d = 12e = 18f, then what is the value of (a + b)/(c + d + e + f)?