1.

The ratio between the number of students in class I and II is 8 : 5, that between the number of students in class II and III is 3 : 4 and that between the number of students in class III and IV is 7 : 8. If the difference between the number of students in class II and IV is 33, then the number of students in class III is:1. 682. 903. 844. 76

Answer» Correct Answer - Option 3 : 84

Given:

The number of students in class I and II is 8 : 5

The number of students in class II and III is 3 : 4 

The number of students in class III and IV is 7 : 8

Difference between the number of students in class II and IV is 33

Calculation:

Let the number of students in class I is 8x

Number of students in class II = 8x × 5/8 = 5x

Number of students in class III = 5x × 4/3 = 20x/3

Number of students in class IV = 20x/3 × 8/7 = 160x/21

160x/21 – 5x = 33

⇒ (160x – 105x)/21 = 33

⇒ 55x/21 = 33

⇒ x = (33 × 21)/55

⇒ x = 12.6

⇒ Number of students in class III = (20 × 12.6)/3 = 84

Number of students in class III is 84



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