Quantitative Aptitude-Practice Set-2

1. what is a percent of b divided by b percent of a?

 (a) a             

 (b) b            

 (c) 1              

 (d) 10          

 (e) 100

Answer:
(c) 1
Explanation:
            a percent of b : (a/100) * b

b percent of a : (b/100) * a

a percent of b divided by b percent of a : ((a / 100 )*b) /  (b/100) * a )) = 1

2. A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs.­­­­_______ for the horse and Rs.________ for the cart.

Answer:

    Cost price of horse =  Rs. 400 & the cost price of cart = 200.

Explanation:-

      Let x be the cost price of the horse and y be the cost price of the cart.

      In the first sale there is no loss or profit. (i.e.) The loss obtained is equal to the gain.

       Therefore           (10/100) * x        =  (20/100) * y

                 X             =  2 * y     -----------------(1)

       In the second sale, he lost Rs. 10. (i.e.) The loss is greater than the profit by Rs. 10.

        Therefore           (5 / 100) * x        =  (5 / 100) * y + 10 -------(2)

           Substituting (1) in (2) we get

  (10 / 100) * y      =  (5 / 100) * y + 10

    (5 / 100) * y        =  10

     y = 200 

From (1) 2 * 200 = x = 400

3. A tennis marker is trying to put together a team of four players for a tennis tournament out of seven available. males - a, b and c; females – m, n, o and p. All players are of equal ability and there must be at least two males in the team. For a team of four, all players must be able to play with each other under the following restrictions:

                                b should not play with m,

                                c should not play with p, and

                                a should not play with o.

                Which of the following statements must be false?

1.       b and p cannot be selected together

2.       c and o cannot be selected together

3.       c and n cannot be selected together.

Answer:

 3.

        Explanation:

        Since inclusion of any male player will reject a female from the team. Since there should be four member in the team and only three males are available, the girl, n should included in the team always irrespective of others selection. 

     4-6. The following figure depicts three views of a cube. Based on this, answer questions 4-6.

                       

4. The number on the face opposite to the face carrying 1 is ­­­­_______ .

Answer:

5

5. The number on the faces adjacent to the face marked 5 are ­­_______ .

Answer:

1,2,3 & 4

6. Which of the following pairs does not correctly give the numbers on the opposite faces.
   (1)  6,5          
   (2)  4,1         
   (3)  1,3        
   (4)  4,2

Answer:      B