The HCF of two numbers is 21 and their LCM is 840. If one of the numbers is 49, then the other number is:

Direction: What value will come in place of the question mark (?) in the following question?

42, 67, 116, ?, 406, 695

Triangle PQR is inscribed in a circle such that P, Q and R lies on the circumference . If PQ is the diameter of the circle and ∠PQR = 40 ° , then what is the value ( in degrees ) of ∠QPR ?

If (x + 6y) = 8, and xy = 2, where x > O, what is the value of (x³+216y³)?

The difference between compound interest and simple interest on a sum of money for 3 years at 8% per annum is Rs. 354.80. Find the sum.

A, B and C invested capital in the ratio 5: 7: 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45: 42: 28, then x : y : z = ?

Two numbers are in the ratio 3:5. If each number is increased by 10, the ratio becomes 5:7. The numbers are -

Find the cube root of $$ ^{3}\sqrt{-13824}$$.