## Friday, 31 March 2017

1 . Directions (1-5): Study the following piecharts carefully to answer the given questions. $Q.$ The number of girls enrolled for Dancing forms what per cent of the total number of students in School N? (Rounded off to two digits after decimal)

 A.   12.35 B.   14.12 C.   11.67 D.   10.08
2 . How many boys are enrolled for Singing and Craft together?

 A.   505 B.   610 C.   485 D.   420
3 . What is the ratio of the number of girls to the number of boys enrolled for Swimming?

 A.   47 : 49 B.   23 : 29 C.   29 : 23 D.   49 : 47
4 . What is the total number of girls enrolled for Swimming and Drawing together?

 A.   480 B.   525 C.   505 D.   495
5 . What is the approximate percentage of boys in the school?

 A.   34 B.   56 C.   28 D.   42
6 . Directions (6-10): Study the following graph carefully and answer the questions given below:

The graph shows the total number of students appeared and qualified from various schools for scholarship A.   58.62 B.   73.91 C.   62.58 D.   58.96
7 . What is the ratio of the number of students appeared to the number of students qualified for the scholarship from School C?

 A.   7 : 12 B.   6 : 5 C.   9 : 13 D.   9 : 5
8 . The number of students appeared from School D is approximately what per cent of the total number of students appeared from all the schools together?

 A.   12 % B.   24 % C.   29 % D.   18 %
9 . What is the difference between the average number of students appeared from all the given schools and the average number of students qualified from all the given schools?

 A.   950 B.   1100 C.   990 D.   1020
10 . What is the ratio of the number of students qualified from School A to the number of students qualified from School B?

 A.   8 : 3 B.   5 : 7 C.   7 : 3 D.   7 : 5

1 .
 Answer : Option C Explanation : Reqd% = $1750 \times 20 \over 3000$ x 100 % = $350 \over 3000$ x 100 = $35\over 3$ = 11.67 %
2 .
 Answer : Option A Explanation : Number of boys enrolled in Singing and Craft together = 3000 x $46 \over 100$ - 1750 x $50 \over 100$ = 1380 – 875 = 505
3 .
 Answer : Option D Explanation : Reqd ratio = $14 \times 1750 \over 16 \times 3000 - 14 \times 1750$ = $245 \over 480 - 245$= $245 \over {480 - 245}$= $245 \over 235$= $49 \over 47$= 49 : 47
4 .
 Answer : Option B Explanation : Total number of girls in Swimming and Drawing together = 1750 x $30 \over 100$ = 525
5 .
 Answer : Option D Explanation : Reqd % of boys = $(3000 - 1750) \over 3000$ x 100 % = $1250 \over 3000$ x 100 % = 41.67 $\cong$ 42 %
6 .
 Answer : Option B Explanation : Average number of students qualified from School C and D = $2250 + 2000\over 2$ = $4250 \over 2$ = 2125 Average no.of students appeared from school C and D = $3250 + 2500\over 2$ = $5750 \over 2$ = 2875 Reqd % = $2125\over 2875$ x 100 $\cong$ 73.91 %
7 .
 Answer : Option D Explanation : Reqd ratio = $3250 \over 2250$ = $13 \over 9$ = 13 : 9
8 .
 Answer : Option D Explanation : Total number of students appeared from all the schools together = 3000 + 2250 + 3250 + 2500 + 3000 = 14000Number of students appeared from School D = 2500Reqd % = $2500 \over 14000$ x 100 = 17.85 % $\cong$ 18 %
9 .
 Answer : Option A Explanation : Total number of students appeared = 14000 Total number of students qualified = 1750 + 1250 + 2250 + 2000 + 2000 = 9250 Reqd difference = $14000 - 9250 \over 5$ = $4750\over 5$ = 950
10 .
 Answer : Option D Explanation : Reqd ratio = $1750 \over 1250$ = $7\over 5$ = 7 : 5