In a class of 60 students, the number of boys and girls participating in the ann

CuriousTab

CuriousTab

Home Aptitude

Discussion

Home ‣ Verbal Reasoning ‣ Arithmetic Reasoning Comments

Question
In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class?
Options
A. 20
B. 25
C. 30
D. Data inadequate
E. None of these

Correct Answer

30

Explanation

Let the number of boys and girls participating in sports be 3x and 2x respectively.

Then, 3x = 15 or x = 5.

So, number of girls participating in sports = 2x = 10.

Number of students not participating in sports = 60 - (15 + 10) = 35.

Let number of boys not participating in sports be y.

Then, number of girls not participating in sports = (35 -y).

Therefore (35 - y) = y + 5 ⟺ 2y ⟺ 30 ⟺ y = 15.

So, number of girls not participating in sports = (35 - 15) = 20.

Hence, total number of girls in the class = (10 + 20) = 30.

Arithmetic Reasoning problems

Search Results

1. A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus?
Options
A. 15
B. 30
C. 36
D. 45

2. A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is
Options
A. 2
B. 3
C. 4
D. Data inadequate

3. A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is
Options
A. 12
B. 15
C. 18
D. 20

4. A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was
Options
A. 8
B. 12
C. 16
D. 24

5. Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born?
Options
A. 32 years, 23 years
B. 32 years, 29 years
C. 35 years, 29 years
D. 35 years, 33 years

6. In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is
Options
A. 3
B. 7
C. 10
D. 12

7. A shepherd had 17 sheep. All but nine died. How many was he left with?
Options
A. Nil
B. 8
C. 9
D. 17

8. 12 year old Manick is three times as old as his brother Rahul. How old will Manick be when he is twice as old as Rahul?
Options
A. 14 years
B. 16 years
C. 18 years
D. 20 years

9. In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate?
Options
A. 20%
B. 25%
C. 50%
D. 75%

10. A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips?
Options
A. 4/9
B. 5/4
C. 5/8
D. 5/9

Comments

There are no comments.

More in Verbal Reasoning: