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Real Numbers
RD Sharma
CBSE
Grade 10
Question:
Three sets of English, Hindi and Mathematics books have to be stacked in such a way that all the books are stored topic-wise and the height of each stack is the same. The number of English books is $96$, the number of Hindi books is $240$ and the number of Mathematics books is $336$. Assuming that the books are of the same thickness, determine the number of stacks of English, Hindi and Mathematics books.
Step-by-Step Solution
Key Concept: $\text{HCF}(96, 240, 336) = 48$. Stacks: Eng $= 2$, Hin $= 5$, Math $= 7$. Total $= 14$.
$\text{HCF}(96, 240, 336) = 48$ books per stack. [1.5 Marks] English stacks $= 96/48 = 2$, Hindi $= 240/48 = 5$, Math $= 336/48 = 7$. Total $= 14$ stacks. [1.5 Marks]
--- 🎯 Official CBSE Marking Scheme: Evaluating HCF $= 48$: 1.5 Marks Finding individual and total stack counts: 1.5 Marks
Correct Answer:
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