If three square are selected at random from chess board. then the probability that they form the letter 'L' is (a) `196/(64C_3)` (b) `49/(64C_3)` (c) `36/(64C_3)` (d) `98/(64C_3)`

Assume that the birth of a boy or girl to a couple to be equally likely, mutually exclusive, exhaustive and independent of the other children in the family. For a couple having 6 children, the probability that their "three oldest are boys" is (a) (20)/(64) (b) (1)/(64) (c) (8)/(64) (d) none of these

A box contains 24 identical balls of which 12 are white and 12 are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the 4th time on the 7th draw is (a) 5/64 (b) 27/32 (c) 5/32 (d) 1/2

A fair coin is tossed 10 times. Then the probability that two heads do not occur consecutively is 7//64 b. 1//8 c. 9//16 d. 9//64

An unbiased coin is tossed 6 times. The probability that third head appears on the sixth trial is 5//16 b. 5//32 c. 5//8 d. 5//64

Consider f(x) =x^3+ax^2+bx+c Parameters a, b, c are chosen as the face value of a fair dice by throwing it three times Then the probability that f(x) is an invertible function is (A) 5/36 (B) 8/36 (C) 4/9 (D) 1/3

Five different games are to be distributed among 4 children randomly. The probability that each child get at least one game is a. 1//4 b. 15//64 c. 5//9 d. 7//12

If a variable tangent to the curve x^2y=c^3 makes intercepts a , b on x a n d y-a x e s , respectively, then the value of a^2b is (a) 27c^3 (b) 4/(27)c^3 (c) (27)/4c^3 (d) 4/9c^3

If n objects are arrange in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is a. "^(n-2)C_3 b. "^(n-3)C_2 c. "^(n-3)C_3 d. none of these

Determine the moles of atoms for each of the following elements. (a) 36g of C, (c) 6.4 g of O

The is a point P on the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 such that its distance from the right directrix is the average of its distance from the two foci. Then the x-coordinate of P is (a) -64/5 (b) -32/9 (c) -64/9 (d)none of these