Question
Which of the following statements about asteroids is
INCORRECT? (I) Total mass of all the asteroids in the main asteroid belt combined is more than that of Earth's Moon. (II) All asteroids are round in shape.Solution
The total mass of all the asteroids in the main asteroid belt is significantly less than that of Earth's Moon, and not all asteroids are round; many have irregular shapes. This dispels common misconceptions about the physical characteristics of asteroids.

If a + b + c = 12 and ab + bc + ca = 47, and a, b, c are real numbers, find the value of a³ + b³ + c³ − 3abc.
If a + `1/b` = 1 and b + `1/c` =1 , then the value of c + `1/a` is

A sum of Rs. 25,000 is invested in SIP 'G' which offers 7% p.a. simple interest for 7 years. The interest received from SIP 'G' is invested in SIP 'H' w...
If
= 2 then find In a best-of-two chess match between Player X and Player Y, the probability that Player X wins a game is (5/9), and the probability that Player Y loses ...
If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
If x 2  – 15x + 51 = 0, then determine the value of (x – 5) + {1/(x – 5)}.
For a =-4 and b = 5, value of a² – b² is: