MCQ

MCQ 11 Mark

The third proportional to $6 \frac{1}{4}$ and 5 is

A
4
B
$8 \frac{1}{2}$
C
3
D
none the these

Answer

The third proportional to $6 \frac{1}{4}$ and 5 is
$
\begin{aligned}
& \Rightarrow 6 \frac{1}{4}: 5:: 5: x \\
& \Rightarrow \frac{25}{4}: 5:: 5: x \\
& \Rightarrow x=\frac{5 \times 5}{25} \times 4 \\
& \Rightarrow 4
\end{aligned}
$

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MCQ 21 Mark

The fourth proportional to $3,4,5$ is

A
6
B
$\frac{20}{3}$
C
$\frac{15}{4}$
D
$\frac{12}{5}$

Answer

The fourth proportion to $3,4,5$ will be
$
\begin{aligned}
& =\frac{4 \times 5}{3} \\
& =\frac{20}{3}
\end{aligned}
$

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MCQ 31 Mark

If x, 12, 8 and 32 are in proportion, then the value of x is

Answer

$x, 12,8,32$ are in proportion, then
$
\begin{aligned}
& x \times 32=12 \times 8 . .(\because a d=b c) \\
& \Rightarrow x=\frac{12 \times 8}{32}=3 \\
& x=3
\end{aligned}
$

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MCQ 41 Mark

The ratio of number of edges of a cube to the number of its faces is

A
$2:1$
B
$1:2$
C
$3:8$
D
$8:3$

Answer

No. of edges of the cube = 12
No. of faces = 6
Ratio in edges a cube to the number of faces = 12 : 6
= 2 : 1

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MCQ 51 Mark

A ratio equivalent to the ratio $\frac{2}{3}: \frac{5}{7}$ is

A
$4: 6$
B
$5:7$
C
$15:14$
D
$14:15$

Answer

$
\frac{2}{3}: \frac{5}{7}
$
Multiply and divide $\frac{2}{3}$ by
7 and Multiply and divide $\frac{5}{7}$ by 3
$
\begin{aligned}
& \therefore \frac{2}{3} \times \frac{7}{7}: \frac{5}{7} \times \frac{3}{3} \\
& \Rightarrow \frac{14}{21}: \frac{15}{21} \\
& \Rightarrow 14: 15
\end{aligned}
$
$\therefore \frac{2}{3}: \frac{5}{7}$ is equivalent $14: 15$

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MCQ 61 Mark

Two numbers are in the ratio 7 : 9. If the sum of the numbers is 288, then the smaller number is

A
126
B
162
C
112
D
144

Answer

Ratio in two number $=7: 9$
Sum of numbers $=288$
Sum of ratios
$
\begin{aligned}
& =7+9 \\
& =16
\end{aligned}
$
Smaller number $=\frac{288 \times 7}{16}$
$
=126
$

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MCQ 71 Mark

When the number 210 is increased in the ratio 5 : 7, the new number is

A
150
B
180
C
294
D
420

Answer

210 is increased in the ratio $5: 7$, then New increased number will be
$
\begin{aligned}
& =210 \times \frac{7}{5} \\
& =294
\end{aligned}
$

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MCQ 81 Mark

The ratio of 4 litres to 900 mL is

A
$4:9$
B
$40:9$
C
$9:40$
D
$20:9$

Answer

4l : 900 ml
= 4000 ml : 900 ml
= 4000 : 900
= 40 : 9

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MCQ 91 Mark

The mean proportional between $\frac{1}{2}$ and 128 is

A
64
B
32
C
16
D
8

Answer

The mean proportional between $\frac{1}{2}$ and 128 is
$
\begin{aligned}
& =\sqrt{\frac{1}{2} \times 128} \\
& =\sqrt{64} \\
& =8
\end{aligned}
$

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MCQ 101 Mark

The ratio of 45 minutes to $5 \frac{3}{4}$ hours is

A
$180:23$
B
$3:23$
C
$23:3$
D
$6:23$

Answer

ratio of 45 minutes to $5 \frac{3}{4}$ hours is 45 minutes to : $5 \frac{3}{4}$ hours
$
\begin{aligned}
& =45: 5 \frac{3}{4} \times 60 \\
& =45: \frac{23}{4} \times 60 \\
& =45: 345 \\
& =3: 23
\end{aligned}
$

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