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In a class free notebooks were distributed among all the children. Each child got notebooks which were one-eighth of the number of children. If number of children been half, then each child would have recieved 16 notebooks in total. Find the total number of books distributed.

  • 450
  • 512
  • 598
  • 658

Answer: Option B

Explanation:

Let suppose total number of students in class are X.
Then from the question we can conclude it that,
\begin{aligned}
X*\frac{1}{8}X = \frac{X}{2}*16 \\
=> X = 64\\
\text{Total notebooks,} \\
= \frac{1}{8}X^2 \\
= \left( \frac{1}{8} * 64 * 64 \right) \\
= 512
\end{aligned}

Similar Questions :

1. In a group of ducks and buffaloes, the total number of legs are 24 more than twice the number of heads. Find the total number of buffaloes.

  • 8
  • 10
  • 12
  • 14

Answer: Option C

Explanation:

Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 24

=> 2x = 24 => x = 12

2. 3034 - (1002 / 20.04) = ?

  • 2984
  • 2983
  • 2982
  • 2981

Answer: Option A

3. If a - b = 3 and \begin{aligned} a^2 + b^2 = 29 \end{aligned}, then find the value of ab

  • 7
  • 8.5
  • 10
  • 12

Answer: Option C

Explanation:

Remember the formula, if not then cram it :)
\begin{aligned} 2ab = (a^2 + b^2)- (a-b)^2 \end{aligned}
=> 2ab = 29 - 9 = 20
=> ab = 10

4. Simplify
\begin{aligned}
\frac{\frac{7}{2}\div {\frac{5}{2}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{5}{2}} of \frac{3}{2} } \div 5.25
\end{aligned}

  • \begin{aligned} \frac{3}{5} \end{aligned}
  • \begin{aligned} \frac{3}{6} \end{aligned}
  • \begin{aligned} \frac{3}{7} \end{aligned}
  • \begin{aligned} \frac{3}{8} \end{aligned}

Answer: Option C

Explanation:

\begin{aligned}
\frac{\frac{7}{2}\div {\frac{5}{2}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{5}{2}} of \frac{3}{2} }\div 5.25
\end{aligned}

\begin{aligned}
= \frac{\frac{7}{2}\times {\frac{2}{5}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{15}{4}}}\div 5.25
\end{aligned}

\begin{aligned}
= \frac{\frac{21}{10}}
{\frac{7}{2} \times { \frac{4}{15}}}\div {\frac{525}{100}}
\end{aligned}

\begin{aligned}
= \frac{21}{10}\times{\frac{15}{14}}\times\frac{100}{525}

= \frac{6}{14}
= \frac{3}{7}
\end{aligned}

5. Simplify
\begin{aligned} 1\frac{3}{4}+5\frac{1}{3}+3\frac{2}{5} \end{aligned}

  • \begin{aligned}10\frac{29}{60} \end{aligned}
  • \begin{aligned}8\frac{29}{60} \end{aligned}
  • \begin{aligned}6\frac{29}{60} \end{aligned}
  • \begin{aligned}4\frac{29}{60} \end{aligned}

Answer: Option A

Explanation:

\begin{aligned} = \frac{7}{4}+\frac{16}{3}+\frac{17}{5} \end{aligned}

\begin{aligned} = \frac{105+320+204}{60}
\end{aligned}
\begin{aligned} = \frac{629}{60}
\end{aligned}
\begin{aligned} = 10\frac{29}{60}
\end{aligned}

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