Interval MCQ Quiz - Objective Question with Answer for Interval - Download Free PDF

Last updated on Apr 20, 2025

Latest Interval MCQ Objective Questions

Interval Question 1:

The sum of the ages of 6 children born at the interval of two years each is 90 years. What is the age (in years) of the eldest child?

  1. 14
  2. 20
  3. 16
  4. 10

Answer (Detailed Solution Below)

Option 2 : 20

Interval Question 1 Detailed Solution

Given:

The sum of the ages of 6 children born at the interval of two years each = 90 years.

Formula Used:

Let the age of the youngest child be x years.

Then the ages of the children are x, (x+2), (x+4), (x+6), (x+8), and (x+10) years.

Sum of ages = x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 90

Calculation:

x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 90

⇒ x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 90

⇒ 6x + 30 = 90

⇒ 6x = 90 - 30

⇒ 6x = 60

⇒ x = 60 / 6

⇒ x = 10

So, the age of the eldest child = x + 10 = 10 + 10 = 20 years.

The correct answer is option 2.

Top Interval MCQ Objective Questions

Interval Question 2:

The sum of the ages of 6 children born at the interval of two years each is 90 years. What is the age (in years) of the eldest child?

  1. 14
  2. 20
  3. 16
  4. 10

Answer (Detailed Solution Below)

Option 2 : 20

Interval Question 2 Detailed Solution

Given:

The sum of the ages of 6 children born at the interval of two years each = 90 years.

Formula Used:

Let the age of the youngest child be x years.

Then the ages of the children are x, (x+2), (x+4), (x+6), (x+8), and (x+10) years.

Sum of ages = x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 90

Calculation:

x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 90

⇒ x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 90

⇒ 6x + 30 = 90

⇒ 6x = 90 - 30

⇒ 6x = 60

⇒ x = 60 / 6

⇒ x = 10

So, the age of the eldest child = x + 10 = 10 + 10 = 20 years.

The correct answer is option 2.

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