56 students are divided into three groups A, B, and C. Group B consist

1.	56 students are divided into three groups A, B, and C. Group B consists of twice the number of students in group C. Group A has half the number of students than group C. How many students are there in group C?1. 82. 123. 164. 28
Answer» Correct Answer - Option 3 : 16 Given: Total student in group A, B, and C = 56 B consists of twice the number of students in group C Group A has half the number of students than group C Calculation: Let group C have x candidates B consists of twice the number of students in group C ⇒ B = 2x A has half the number of students than group C ⇒ A = x/2 According to the question: x + 2x + x/2 = 56 ⇒ x = 112/7 = 16 ∴ Number of student in group C = x = 16 students Check: Number of student in group C = x = 16 students B = 2x or B = 16 × 2 = 32 students A = x/2 or A = 16/2 = 8 ∴ Total students = 16 + 32 + 8 = 56 Hence above solution is correct.

56 students are divided into three groups A, B, and C. Group B consists of twice the number of students in group C. Group A has half the number of students than group C. How many students are there in group C?1. 82. 123. 164. 28

Answer» Correct Answer - Option 3 : 16

Given:

Total student in group A, B, and C = 56

B consists of twice the number of students in group C

Group A has half the number of students than group C

Calculation:

Let group C have x candidates

B consists of twice the number of students in group C

⇒ B = 2x

A has half the number of students than group C

⇒ A = x/2

According to the question:

x + 2x + x/2 = 56

⇒ x = 112/7 = 16

∴ Number of student in group C = x = 16 students

Check:

Number of student in group C = x = 16 students

B = 2x or B = 16 × 2 = 32 students

A = x/2 or A = 16/2 = 8

∴ Total students = 16 + 32 + 8 = 56

Hence above solution is correct.

Discussion

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