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In a classroom there are certain number of benches. If 6 student are made to sit on a bench, then to accommodate all of them, one more benc…

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In a classroom there are certain number of benches. If 6 student are made to sit on a bench, then to accommodate all of them, one more bench is needed. However, if 7 student are made to sit on a bench, then after accommodating all of them, space for 5 student is left. What is the total number of student in the class?
  • A30
  • B42
  • C72
  • DNone of these
Answer not set

Discussion 1

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CCommunity
Let total number of benches in class be N.

Given,

⇒ N = 6x + 6

⇒ N = 7x - 5

Then,

⇒ 6x + 6 = 7x - 5

⇒ x = 11

∴ Total number of Students = 6 × 11 + 6 = 72