(D) To minimize the area of the tray,we need to maximize the number of barfis in each stack. This is equivalent to finding the Highest Common Factor $

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(D) To minimize the area of the tray,we need to maximize the number of barfis in each stack. This is equivalent to finding the Highest Common Factor $(HCF)$ of $420$ and $130$.Using Euclid's division algorithm:$420 = 130 \times 3 + 30$$130 = 30 \times 4 + 10$$30 = 10 \times 3 + 0$The $HCF$ of $420$ and $130$ is $10$.Therefore,the sweetseller can place $10$ barfis in each stack to minimize the area occupied on the tray.

Class 10 Mathematics Real Numbers Textbook - Real Numbers

Medium

$A$ sweetseller has $420$ kaju barfis and $130$ badam barfis. She wants to stack them in such a way that each stack has the same number,and they take up the least area of the tray. What is the number of barfis that can be placed in each stack for this purpose?

A
$12$
B
$14$
C
$5$
D
$10$

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Use Euclid's division algorithm to find the $HCF$ of $196$ and $38220$.

Easy

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Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{77}{210}$.

Medium

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Use Euclid's algorithm to find the $HCF$ of $4052$ and $12576$.

Easy

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Find the $LCM$ and $HCF$ of the following pairs of integers and verify that $LCM \times HCF =$ product of the two numbers $510$ and $92$.

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Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{64}{455}$.

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$A$ sweetseller has $420$ kaju barfis and $130$ badam barfis. She wants to stack them in such a way that each stack has the same number,and they take up the least area of the tray. What is the number of barfis that can be placed in each stack for this purpose?

Similar Questions

Use Euclid's division algorithm to find the $HCF$ of $196$ and $38220$.

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{77}{210}$.

Use Euclid's algorithm to find the $HCF$ of $4052$ and $12576$.

Find the $LCM$ and $HCF$ of the following pairs of integers and verify that $LCM \times HCF =$ product of the two numbers $510$ and $92$.

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{64}{455}$.

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