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- Question
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
- Correct Answer
- 8
Explanation
Arithmetic Reasoning problems
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- 1. 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 Discuss
Correct Answer: 32 years, 23 years
Explanation:
When Ravi's brother was born, let Ravi's father's age = x years and mother's age = y years.Then, sister's age = (x - 28) years. So, x - 28 = 4 or x = 32.
Ravi's age = (y - 26) years. Age of Ravi's brother = (y - 26 + 3) years = (y - 23) years.
Now, when Ravi's brother was born, his age = 0 i.e. y - 23 = 0 or y = 23.
- 2. A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C?
Options- A. 9, 46
- B. 9, 50
- C. 10, 46
- D. 10, 50 Discuss
Correct Answer: 9, 50
Explanation:
We have : A = 3B ...(i) andC - 4 = 2 (A - 4) ...(ii)
Also, A + 4 = 31 or A= 31-4 = 27.
Putting A = 27 in (i), we get: B = 9.
Putting A = 27 in (ii), we get C = 50.
- 3. What is the product of all the numbers in the dial of a telephone?
Options- A. 1,58,480
- B. 1,59,450
- C. 1,59,480
- D. None of these Discuss
Correct Answer: None of these
Explanation:
Since one of the numbers on the dial of a telephone is zero, so the product of all the numbers on it is 0.- 4. A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair?
Options- A. 3
- B. 20
- C. 39
- D. None of these Discuss
Correct Answer: 3
Explanation:
Since there are socks of only two colours, so two out of any three socks must always be of the same colour.- 5. The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago?
Options- A. 71 years
- B. 72 years
- C. 74 years
- D. 77 years Discuss
Correct Answer: 71 years
Explanation:
Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.- 6. 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 Discuss
Correct Answer: 15
Explanation:
Let son's age be x years. Then, father's age = (3x) years.Five years ago, father's age = (3x - 5) years and son's age = (x - 5) years.
So, 3x - 5 = 4 (x - 5) ⟺ 3x - 5 = 4x - 20 ⟺ x = 15.
- 7. 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 Discuss
Correct Answer: 4
Explanation:
- 8. 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 Discuss
Correct Answer: 45
Explanation:
Originally, let number of women = x. Then, number of men = 2x.So, in city Y, we have : (2x - 10) = (x + 5) or x - 15.
Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 45.
- 9. 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 Discuss
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.
- 10. 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 Discuss
Correct Answer: 10
Explanation:
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