In a school, the number of students in class 4^th, 5^th and 6^th were 188, 282 and 423 respectively. If each class is divided into sections and each section had the same number of students, then what was the minimum total number of sections in these three classes?

Question

Question

This question was previously asked in

RRC Group D Previous Year Paper 73 (Held On: 12 Nov 2018 Shift 3)

Answer 1

Given:

The number of students in class 4th, 5th and 6^th = 188, 282 and 423

Calculation:

HCF of 188, 282 and 423 is

⇒ 188 = 2 × 2 × 47

⇒ 282 = 2 × 3 × 47

⇒ 423 = 3 × 3 × 47

So, HCF = 47

Now,

Number of students in class 4^th = (188/47) = 4

Number of students in class 5^th = (282/47) = 6

Number of students in class 6^th = (423/47) = 9

The minimum total number of sections in these three classes is

⇒ (4 + 6 + 9)

⇒ 19

∴ Minimum number of sections is 19

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