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Question 1: Select the option that can replace the question mark (?) in the following equation.
$ 2 + 5\div [5+8\div( 1+\frac{1}{3}) – 1] $ = ?
a) $ \frac{1}{2} $
b) $ \frac{5}{2} $
c) $ \frac{3}{2} $
d) 2
Question 2: What should come in place of the question mark (?) in the following question?
$2 – [6 – \left\{3 + (-4 + 5 + 1) \times 8\right\} +12] =?$
a) 4
b) 2
c) 3
d) 1
Question 3: What should come in place of the question mark (?) in the following question?
$1 – [5 – \left\{2 + (-5 + 6 – 2)2\right\}] = ?$
a) 0
b) 2
c) -2
d) -4
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Question 4: What approximate value should comein place of the question mark (?) in the following equation?
($\frac{1}{9}\div\frac{1}{9}$ of $\frac{1}{3}$) of $\frac{1}{6}=?$
a) $\frac{1}{6}$
b) $\frac{1}{2}$
c) $\frac{1}{9}$
d) $\frac{1}{3}$
Question 5: What should come in place of question mark (?) in the following questions?
$(140+80\times2-24)\div(80+20\times3-40)=?$
a) 276
b) -27.6
c) 2.76
d) 0.276
Question 6: What should come in place of question mark (?) in the following questions?
$1.5\times78\div0.5=?$
a) 243
b) 234
c) 238
d) 216
Question 7: What should come in place of question mark (?) in the following questions?
$383\div25\times2.5+12=?$
a) 68.30
b) 222.14
c) 50.30
d) 124.24
Question 8: What should come in place of the question mark (?) in the following question?
$6\div6\times9+6-9\times6-6+6\times9=?$
a) 7
b) 8
c) 10
d) 9
Question 9: What should come in place of the question mark (?) in the following question?
$[((16\div4)\times4)\div4]=?$
a) 2
b) 5
c) 4
d) 3
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Question 10: What value should come in place of question mark(?) in the following equation?
$360\sqrt?$ + 4500 = 19700 – 9800
a) 395
b) 295
c) 225
d) 215
Answers & Solutions:
1) Answer (B)
= $ 2 + 5\div [5+8\div( 1+\frac{1}{3}) – 1] $
= $ 2 + 5\div [5+8\div( \frac{4}{3}) – 1] $
= $ 2 + 5\div [5+8 \times \frac{3}{4} – 1] $
= $ 2 + 5\div 10 $
= $ \frac{5}{2} $
Hence, option B is the correct answer.
2) Answer (C)
Expression : $2 – [6 – \left\{3 + (-4 + 5 + 1) \times 8\right\} +12]$
= $2 – [6 – \left\{3 + (2\times 8)\right\} +12]$
= $2-[6-19+12]$
= $2+1=3$
=> Ans – (C)
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3) Answer (D)
Expression : $1 – [5 – \left\{2 + (-5 + 6 – 2)2\right\}] = ?$
= $1 – [5 – \left\{2 + (-1\times2)\right\}]$
= $1 – [5 -(2-2)]$
= $1-(5-0)$
= $1-5=-4$
=> Ans – (D)
4) Answer (B)
($\dfrac{1}{9}\div\dfrac{1}{9}$ of $\dfrac{1}{3}$) of $\dfrac{1}{6} = (\dfrac{1}{9} \div \dfrac{1}{27}$) of $\dfrac{1}{6}$
$= \dfrac{1}{9} \times 27$ of $\dfrac{1}{6}$
$= 3 \times \dfrac{1}{6} = \dfrac{1}{2}$
5) Answer (C)
$(140+80\times2-24) = 140+160-24 = 276$
$(80+20\times3-40) = 80+60-40 = 100$
Therefore, $(140+80\times2-24)\div(80+20\times3-40) = \dfrac{276}{100} = 2.76$
6) Answer (B)
$1.5\times78\div0.5= \dfrac{1.5\times78}{0.5}$
$=\dfrac{15\times78}{5} = 78\times3 = 234$
7) Answer (C)
8) Answer (D)
9) Answer (C)
10) Answer (C)
$360\sqrt?$ + 4500 = 19700 – 9800
$\Rightarrow 360\sqrt? + 4500 = 9900$
$\Rightarrow 360\sqrt? = 5400$
$\Rightarrow \sqrt? = 15$
$\Rightarrow ? = 15^2$
$\Rightarrow ? = 225$