Saturday, August 15, 2015

SOLUTION OF QUANTITATIVE APTITUDE

Answers:

1.         Answer:
30 days.
            Explanation:
            Before:
            One day work                         =          1 / 20
            One man’s one day work        =          1 / ( 20 * 75)
Now:
                        No. Of workers                       =          50 
                        One day work                         =          50 * 1 /  ( 20 * 75)

                        The total no. of days required to complete the work = (75 * 20) / 50  = 30

2.         Answer:
 0 %
            Explanation:
            Since 3x / 2  = x / (2 / 3)

3.         Answer:
5.3 %
            Explanation:
                        He sells 950 grams of pulses and gains 50 grams.
            If he sells 100 grams of pulses then he will gain (50 / 950) *100  =  5.26

4.         Answer:
250 lines of codes

5.         Answer:
7 days
Explanation:
The equation portraying the given problem is:
                         10 *  x – 2 * (30 – x) =  216  where x is the number of working days.
            Solving this we get x = 23
            Number of days he was absent was 7 (30-23) days.

6.         Answer:
150 men.
Explanation:
            One day’s work                      =          2 / (7 * 90)
            One hour’s work                     =          2 / (7 * 90 * 8)
            One man’s work                      =          2 / (7 * 90 * 8 * 75)

The remaining work (5/7) has to be completed within 60 days, because the total number of days allotted for the project is 150 days.

            So we get the equation
                       
                        (2 * 10 * x * 60) / (7 * 90 *  8 * 75)   =  5/7  where x is the number of men working after the 90th day.

            We get x = 225
            Since we have 75 men already, it is enough to add only 150 men.

7.         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

8.         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

9.         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.

10.       Answer:
5

11.       Answer:
1,2,3 & 4

12.       Answer:
B

13.       Answer:
11 & 9 apples per tree.
            Explanation:
            Let a, b, c, d & e be the total number of apples bored per year in A, B, C, D & E ‘s orchard. Given that      a + 1 = b + 3 = c – 1 = d + 3 = e – 6 
But the question is to find the number of apples bored per tree in C and D ‘s orchard. If is enough to consider c – 1 = d + 3.
            Since the number of trees in C’s orchard is 11 and that of D’s orchard is 13. Let x and y be the number of apples bored per tree in C & d ‘s orchard respectively.
            Therefore 11 x – 1 = 13 y + 3
By trial and error method, we get the value for x and y as 11 and 9
           
14.       Answer:
G.
            Explanation:
            The order in which they are climbing is R – G – K – H – J    

15 – 18
Answer:
                        Novel Name                Author             Publisher

                        Spy thriller                  Rathko             Heron
                      Murder mystery           Gorky               Piegon              
                     Gothic romance           Burchfield       Blueja
                        Science fiction                        Hopper Sparrow

            Explanation:
            Given
                        Novel Name                Author             Publisher
                            Spy thriller                  Rathko             Heron
                        Murder mystery          Gorky              Piegon
                        Gothic romance           Burchfield       Blueja
               Science fiction                        Hopper   Sparrow                      

Since Blueja doesn’t publish the novel by Burchfield and Heron publishes the novel spy thriller, Piegon publishes the novel by Burchfield.
Since Hopper writes Gothic romance and Heron publishes the novel spy thriller, Blueja publishes the novel by Hopper.
Since Heron publishes the novel spy thriller and Heron publishes the novel by Gorky, Gorky writes Spy thriller and Rathko writes Murder mystery.

19.       Answer: 
451 times.
Explanation:
There are 60 minutes in an hour.
            In ¾ of an hour there are (60 * ¾) minutes  = 45 minutes.
                        In ¾ of an hour there are (60 * 45) seconds = 2700 seconds.
            Light flashed for every 6 seconds.
                        In 2700 seconds 2700/6 = 450 times.
The count start after the first flash, the light will flashes 451 times in ¾ of an hour.

20.       Answer:
(4)
            Explanation:
                                                P         
                        A                                                         B        

            Since p is a point on the line segment AB, AB > AP

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