98 toffees were distributed to some boys in a group. Each boy in the group got twice as many of the toffees as the number of boys. The number of boys in the group was || ADRE 1.0 SLRC 2022 PAPER-III SOLVED QUESTIONS
98 toffees were distributed to some boys in a group. Each boy in the group got twice as many of the toffees as the number of boys. The number of boys in the group was:
(A) 5
(B) 7
(C) 10
(D) 14
Solution:
Let's denote the number of boys in the group as b.
According to the problem:
- Total number of toffees distributed = 98
- Each boy gets twice the number of toffees as the number of boys
So, each boy receives 2b toffees.
Given that the total number of toffees distributed is 98, we can set up the equation:
2b×b=98
or, 2b²= 98
or, b²= 98/2
or, b²= 49
or, b = √49
or, b = 7
Therefore, the number of boys in the group is b=7.
So, the answer is (D) 7
Verification:
If there are 7 boys, each boy receives 2×7=14 toffees.
Total toffees distributed = 7×14=98, which matches the given total of 98 toffees. Thus, the solution is correct.
Why this question is important?
- Tests logical reasoning and algebraic skills.
- Commonly assessed in competitive exams like ADRE SLRC-2022 Grade-III.
- Helps in exam preparation and real-life problem-solving.
- Demonstrates distribution and algebraic relationship understanding.
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