QUANT QUIZ

Directions (1-5): Study the given information carefully to answer the questions that follow.

An urn contain 3 white, 4 green, 5 black and 3 red marbles.

1.    If two marbles are drawn at random, what is the probability that at least one is black?

(1) 4/7                                (2) 1/7 

(3) 3/7                                (4) 6/7             

(5) None of these

2.    If three marbles are drawn at random, what is the probability that at least one is red?

(1) 5/13                              (2) 44/91         

(3) 47/91                            (4) 36/91                     

(5) None of these

3.    If eight marbles are drawn at random, what is the probability that there are equal numbers of marbles of each colour?

(1) 128/143                        (2) 15/143       

(3) 131/143                        (4) 11/143                   

(5) None of these

4.    If three marbles are drawn at random, what is the probability that none is white?

(1) 69/91                            (2) 22/91         

(3) 47/91                            (4) 44/91                     

(5) None of these

5.    If four marbles are drawn at random, what is the probability that two are green and two are black?

(1) 4/91                              (2) 8/91                       

(3) 4/13                              (4) 8/13                       

(5) None of these

6.    A shopkeeper mixed two verities of rice at Rs. 20/kg and Rs. 30/kg in the ratio 2 : 3 and sell the mixture at 10% profit. Find the price per kg at which he sold the mixture?

(1) Rs. 26                          (2) Rs. 28.8    

(3) Rs. 28                          (4) Rs. 28.6                

(5) None of these

7.    The average speed of P is 4/5 times the average speed of a Q. R covers 375 km in 15 hours. How much distance will the P cover in 4 hours if the speed of the Q is twice the speed of the R ?

(1) 240 km                        (2) 160 km     

(3) 150 km                        (4) 75 km                   

(5) None of these

8.    The simple interest accrued on a sum of certain principal is 1200 in four years at the rate of 5 p.c.p.a.  W h a t would be the compound interest accrued on same principal at same rate in two years ?

(1) Rs. 716                       (2) Rs. 651     

(3)  Rs. 615                       (4) Rs. 650                 

(5) None of these

9.    Sanjay purchased a bike for Rs. 45,000. He sold it at a loss of 6 per cent. With that money he again purchased another bike and sold it at a profit of 10 per cent. What is his overall loss/profit ?

(1) Loss of Rs. 1800                     (2) Profit of Rs. 1530

(3) Loss of Rs. 1800                     (4) Loss of Rs. 1530

(5) None of these

10.  Two men alone or three women alone can complete a piece of work in 8 days. In how many days can 1 woman and one man together complete the same piece of work ?

(1) 10 days                                    (2) 48/5 days  

(3) 16/1.5 days                              (4) Cannot be determined      

(5) None of these

Answers:

1	1	6	4
2	3	7	2
3	5	8	3
4	4	9	2
5	1	10	2