Arithmetical Reasoning Test

Result

Arithmetical Reasoning Test - 1

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Question 1
1 / -0

The age of Arvind?s father is 4 times of his age. If 5 years ago, father's age was 7 times of the age of his son, what is the age of Arvind's father at present?

A
35 years

B
40 years

C
70 years

D
84 years

Solution

Let the age of Arvind and his father be x and 4x years, respectively. Five years ago/the age of Arvind was (x ? 5) years and that of his father was (4x ? 5) years. Now, according to the information given in the question, or (4x − 5) = 7(x − 5) or 4x − 5 = 7x − 35 3x = 30 or x = 10 years Therefore, the age of Arvind and his father are 10 years and 40 years, respectively.
Question 2
1 / -0

After five years, the age of a father will be thrice the age of his son, whereas five years ago, he was seven times old as his son was. What is father's present age?

A
35 years

B
40 years

C
45 years

D
50 years

Solution

Let the age of son after 5 years be x years. Then, the age of father after 5 years would be 3x years. Five years ago the age of son = (x ? 10) years. Five years ago the age of father = (3x ? 10) years According to the given information in the question, (3x − 10) = 7(x − 10) or 3x − 10 = 7x − 70 or 4x = 60 or x = 15 years Therefore, present age of father would be (3x ? 5) years or (45 ? 5) = 40 years.
Question 3
1 / -0

15 years ago the difference between the ages of two persons was 10 years. The elder one was twice as old as the younger one. The present age of the elder person is:

A
25 years

B
35 years

C
45 years

D
55 years

Solution

Let the present age of the elder person be x years. Then, the present age of the younger person = (x ? 10) years. According to the given information in the question,

(x15) = 2(x1015) or x = 35 years.

∴ The present age of the elder person is 35 years.
Question 4
1 / -0

The age of a father 10 years ago was thrice the age of his son. Ten years later, the father's age will be twice that of his son. The ratio of their present ages is:

A
8 : 5

B
7 : 3

C
5 : 2

D
9 : 5

Solution

Let the age of the son 10 years ago be x years.

∴ Father?s age 10 years ago would be 3x years. Now as per the information given in question,

3x + 20 = 2(x + 20) or x = 20

∴ Ratio of their present ages = (3x + 10 : x + 10) = 70 : 30 = 7:3