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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 is :

  • 12
  • 15
  • 18
  • 20

Answer: Option B

Explanation:

Let son's age be x then father's age is 3x
Five years ago, father's age = 3x-5 and son's age x-5
So, 3x-5 = 4(x-5)
=> 3x-5 = 4x-20
=> x = 15

Similar Questions :

1. A shepherd had 27 sheep. All but 10 died. How many he left with ?

  • 10
  • 15
  • 17
  • 27

Answer: Option A

Explanation:

"All but 10 died" means all except 10 died, so he is remained with 10 sheep.

2. At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?

  • 20
  • 45
  • 55
  • 90

Answer: Option B

Explanation:

Total number of handshakes =
9+8+7+6+5+4+3+2+1 = 45

3. First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch are

  • 9
  • 10
  • 12
  • 15

Answer: Option D

Explanation:

Let the number of bananas in the second bunch be x.
Then, the number of bananas in the first bunch
= x + 1/4 x
= 5/4 x
So,
5/4 x - x = 3
=> 5x - 4x = 12
x = 12

Number of bananas in first bunch
= 5/4 * 12 = 15

4. A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly ?

  • 12
  • 16
  • 24
  • 18

Answer: Option B

Explanation:

Suppose boy got x sums right and 2x sums wrong,
then,
x+2x = 48
=> 3x = 48
=> x = 16

5. In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?

  • 10
  • 12
  • 14
  • 18

Answer: Option B

Explanation:

Let the number of boys be x.
Then, 3/4 x = 18
=> x = 24

If total number of students is y, then
2/3 y = 24
=> y = 36

Number of girls in class = y - x
= 36 - 24 = 12

Read more from - Arithmetic Reasoning Questions Answers
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