**Direction: **Read the information carefully and answer the following questions:

In a school of 750 students, each student likes atleast one of 3 colors- Red, Green and Blue. 109 students like only red color, 150 students like only green color and 125 students like only blue color. The number of students who like red and green colors only is 70% of the students who like only green color. The number of students who like red and blue colors only is 60% of the students who like only blue color. 100 students like all the colors.

This question was previously asked in

IBPS RRB Officer Scale - 1 August 2021 Shift 1 Memory Based Test

Option 4 : 118

**Given:**

Total number of students = 750

The number of students who like red and green colors only = 70% of 150 students

and The number of students who like red and blue colors only = 60% of 125 students

**Calculation:**

Let the number of students who like green and blue colors only be a.

Number of students who like red and green colors only = (70/100) × 150

⇒ 105 students

Number of students who like red and blue colors only = (60/100) × 125

⇒ 75 students

Then, The total number of students = 750

⇒ 109 + 150 + 125 + 100 + 105 + 75 + a = 750

⇒ 664 + a = 750

⇒ a = 750 – 664

⇒ a = 86 students

Now, The number of students who like only one color = 109 + 150 + 125

⇒ 384 students

and The number of students who like only two colors = 105 + 75 + 86

⇒ 266 students

Required difference = 384 – 266

⇒ 118

**∴ 118 is the difference between the number of students who like only one color and the number of students who like only two colors.**