2 Mark Question

Question 512 Marks

The cost of $6\frac{1}{4}\text{kg}$ of apples is ₹ 400. At what rate per kg are the apples being sold?

Answer

Given,
The cost of $6\frac{1}{4}\text{kg}$ of apples is ₹ 400
$6\frac{1}{4}=\frac{25}{4}$
Cost of $\frac{25}{4}\text{kg}$ of apple = ₹ 400
Cost of 1 kg of apple $=₹\ \frac{4}{25}\times400=₹\ 64$

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Question 522 Marks

Find:$\frac{5}{6}\text{ of a day}$

Answer

We have,
$\frac{5}{6}\text{ of a day}$
1 day = 24 hours
$\therefore\ \frac{5}{6}\times24\text{ hours}$
$=5\times4\text{ hours}$
$=20\text{ hours}$

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Question 532 Marks

Divide:
$6\frac{1}{4}\text{ by }2\frac{3}{5}$

Answer

$6\frac{1}{4}\text{ by }2\frac{3}{5}$
$=\frac{6\frac{1}{4}}{2\frac{3}{5}}$
$=\frac{\frac{25}{4}}{\frac{13}{5}}$
$=\frac{25\times5}{4\times13}$
$=\frac{75}{52}$
$=2\frac{21}{52}$

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Question 542 Marks

Ravish reads $\frac{1}{3}$ part of a books in 1 hour. How much part of the book will he read in $2\frac{1}{5}$ hours?

Answer

Let x be the full part of book.
Given, Ravish reads $\frac{1}{3}$ part of a book in one hour
$1\text{ hour}=\Big(\frac{1}{3}\Big)\text{x}$
Part of the book will he read in $2\Big(\frac{1}{5}\Big)$ hours
$2\frac{1}{5}=\frac{11}{5}\text{ hours}$
$=\frac{1}{3}\times\text{x}\times\frac{11}{5}$
$\frac{11}{5}\text{x}=\frac{11}{15}$ part of book

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Question 552 Marks

There are 45 students in a class and $\frac{3}{5}$ of them are boys. How many girls are there in the class?

Answer

Given,
There are 45 students in a class,
And $\frac{3}{5}$ of them are boys.
Therefore, no of girls in the class $=45-\frac{3}{5}\times45$
$=45-27$
$=18$

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Question 562 Marks

By what number should $6\frac{2}{9}$ be multiplied to get $4\frac{4}{9}?$

Answer

Let the required number be x.
According to the question,
$6\frac{2}{9}\times\text{x}=4\frac{4}{9}$
$\frac{(6\times9+2)}{9}\times\text{x}=\frac{(4\times9)+4}{9}$
$\frac{56}{9}\times\text{x}=\frac{40}{9}$
$\text{x}=\frac{40}{9}\times\frac{9}{56}$
$\text{x}=\frac{40}{56}$
$\text{x}=\frac{5}{7}$

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Question 572 Marks

Multiply:
$3\frac{4}{15}\text{ by }{24}$

Answer

We have, $3\frac{4}{15}\text{ by }{24}$
$=\frac{49}{15}\times24$
$=\frac{1176}{24}$
$=78\frac{2}{5}$

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Question 582 Marks

Divide:
$\frac{3}{8}\text{ by }\frac{5}{9}$

Answer

$\frac{3}{8}\text{ by }\frac{5}{9}$
$=\frac{\frac{3}{8}}{\frac{5}{9}}$
$=\frac{3\times9}{8\times5}$
$=\frac{27}{40}$

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Question 592 Marks

Find:$\frac{3}{20}\text{ of a kg}$

Answer

We have,
$\frac{3}{20}\text{ of a kg}$
1kg = 1000gms
$\therefore\ \frac{3}{20}\times1000\text{gms}$
$=3\times50\text{gms}$
$=150\text{gms}$

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Question 602 Marks

Multiply:
$3\frac{1}{8}\text{ by }4\frac{10}{11}$

Answer

We have, $3\frac{1}{8}\text{ by }4\frac{10}{11}$
$=\frac{25}{8}\times\frac{54}{11}$
$=\frac{25\times54}{88}$
$=15\frac{15}{44}$

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Maths 2 Mark Question