A bag contains 5 green, 7 yellow and 4 red balls. Three balls are drawn at random, find the probability that all the balls are of same colour.

A  \(\frac {5} {46}\). B \(\frac{9}{70}\) C. \(\frac{7}{78}\) D. \(\frac{7}{80}\) E. None of these

A bag contains ‘x’ red, ‘x + 3’ blue and ‘2x – 2’ green balls. Two balls are randomly drawn from the bag and the probability that both the balls are green is 3/20. Find the total number of balls in the bag.

A. 27 B. 25 C. 23 D. 21 E. 20

In a class of 80 students, a student is to be selected for becoming monitor. If 20 % of total students belongs to ST category, 15 % belongs to SC category, 30 % belongs to OBC category and remaining belongs to General category and in each category the ratio of boys and girls is 1 : 1. What is the probability that the monitor selected is a girl who belongs to either ST or OBC category ? A. \(\frac {3} {5}\) B  \(\frac{1}{4}\). C  \(\frac{3}{4}\). D. \(\frac{3}{8}\) E. None of these 

A packet contains some red pens, blue pens and black pens such that the probability of picking a red pen is 3/13 and probability of picking a black pen is 1/3. If no. of blue pens is 17 and if all the pens are numbered starting from 1,2,3,….. and so on , then what is the probability of getting one pen numbered as multiple of 5 or 8 ?

A  \(\frac{2}{3}\). B  \(\frac{3} {52} \). C \(\frac{3}{13}\) D. \(\frac {11} {39}\) E. \(\frac{10} {39}\)

A box contains 50 marbles of different colours i.e. purple, pink and blue. Find the number of pink marbles in the box, if probability of picking up a purple marble is 3/5 and that of either a purple or a pink marble is 4/5.

A. 6  B. 8  C. 5   D. 10  E. None of these

In bag A there are 5 red balls, X green balls and 7 yellow balls. Probability of drawing one green ball from bag A is 2/5. In bag B there are (X – 3) red balls, (X – 4) green balls and 6 yellow balls. 2 balls are drawn from bag B. Find the probability that both the balls are red in colour? 

A. \(\frac{3}{11}\)  B. \(\frac{4}{21}\)  C. \(\frac{5}{21}\) D \(\frac{2}{23}\) E. None of these

A bag contains ‘x’ red, ‘x+5’ blue and ‘x + 7’ grey balls. If two balls are randomly drawn from the bag and the probability that both the balls are of same colour is 148/435, then find the total number of balls in the bag.

A. 36 balls B. 64 balls C. 58 balls D. 30 balls E. 29 ballsCO

The charging section of the income under the head capital gains is :

A. Section 15 B. Section 17 C. Section 10 D. Section 45 (2)

What are the conditions to be fulfilled for charging of income under the head capital gains:

A. There must be a capital asset.

B. There must be a transfer of such capital asset.

C. The transfer of such capital asset has been affected during the previous year.

D. All of the above.

Which of the following is not a requisite for charging income-tax on capital gains –

A. The transfer must have been effected in the relevant assessment year

B. There must be a gain arising on transfer of capital asset

C. Capital gains should not be exempt u/s 54

D. Capital gains should not be exempt u/s 54EC

The following shall not be regarded as capital asset:

A. Urban Land

B. Securities held by a Foreign Institutional Investor as per SEBI Act, 1992

C. Archaeological Collections

D. Motor Car