M.C.Q. [1 Marks Each]

MCQ 11 Mark

Neelam’s annual income is $Rs. 288000$. Her annual saving amount is $Rs. 36000$. The ratio of her savings to her expenditure is:

A
$1 : 8$
✓
$1 : 7$
C
$1 : 6$
D
$1 : 5$

Answer

Correct option: B.

$1 : 7$

Given,
Neelam’s annual income $= Rs. 2,88,000$
Her annual saving $= Rs. 36,000$
Her expenditure = Income - Savings $= Rs. 2,88,000 - Rs. 36,000 = Rs. 2,520$
$\therefore$ Ratio of her savings to her expenditure $=\frac{36000}{252000}$
$=\frac{1}{7}$ [On dividing numerator and denominator by $36000$]
$= 1 : 7$
Hence, $(b)$ is the correct option.

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MCQ 21 Mark

On a shelf, books with green cover and that with brown cover are in the ratio $2 : 3$. If there are $18$ books with green cover, then the number of books with brown cover is:

A
$12$
B
$24$
✓
$27$
D
$36$

Answer

Correct option: C.

$27$

Given,
Ratio of books with green cover to books with brown cover $= 2 : 3$ Books with green cover $= 18$
Let the books with green cover and brown cover are $2x$ and $3x$ respectively.
According to the question,
$2\text{x} = 18$
$\Rightarrow\text{x}=\frac{18}{2}$
$\therefore\ \text{x} = 9$
Thus, the books with brown cover $= 3x$
$= 3 \times 9 = 27$
Hence, $(c)$ is the correct option.

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MCQ 31 Mark

If a bus travels $160\ km$ in $4h$ and a train travels $320\ km$ in $5h$ at uniform speeds, then the ratio of the distances travelled by them in one hour is:

A
$1 : 2$
B
$4 : 5$
✓
$5 : 8$
D
$8 : 5$

Answer

Correct option: C.

$5 : 8$

Given,Bus travels in $4h = 160\ km$ and Train travels in $5h = 320\ km$.
Ratio of the distance travelled and time is Distance
$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$
$\text{Speed of bus}=\frac{160}{40}$
$\text{Speed of train} = \frac{320}{5}$
Ratio of speed of bus to train = $\frac{40}{64}$
$=\frac{5}{8}$ [On dividing numerator and denominator by $8$]
$= 5 : 8$
Hence, $(c)$ is the correct option.

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MCQ 41 Mark

The ratio of $8$ books to $20$ books is:

✓
$2 : 5$
B
$5 : 2$
C
$4 : 5$
D
$5 : 4$

Answer

Correct option: A.

$2 : 5$

$= \frac{8 \text{ books}}{20 \text{ books}}= \frac{8}{20}$
$= 2:5$
[On dividing numerator and denominator by $4$]
Hence, $(a)$ is the correct option.

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MCQ 51 Mark

The greatest ratio among the ratios $2 : 3, 5 : 8, 75 : 121$ and $40 : 25$ is:

A
$2 : 3$
B
$5 : 8$
C
$75 : 121$
✓
$40 : 25$

Answer

Correct option: D.

$40 : 25$

Given, ratios $2 : 3, 5 : 8, 75 :121$ and $40 : 25.$
$2 :3= \frac{2}{3} = 0.66$
$5:8 = \frac{5}{8}= 0.62$
$75:121 =\frac{75}{121}= 0.61$
$40:25 =\frac{40}{25} = 1.6$
Hence, $40 : 25$ is the greatest. Hence, $(d)$ is the correct option.

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MCQ 61 Mark

There are $‘b’$ boys and $‘g’$ girls in a class. The ratio of the number of boys to the total number of students in the class is:

✓
$\frac{\text{b}}{\text{(b + g)}}$
B
$\frac{\text{g}}{\text{(b+g)}}$
C
$\frac{\text{b}}{\text{g}}$
D
$\frac{\text{(b+g)}}{\text{g}}$

Answer

Correct option: A.

$\frac{\text{b}}{\text{(b + g)}}$

Given,
Number of boys in the class $= b$ and number of girls in the class $= g$
$\therefore$ Total number of students = Number of boys + Number of girls $= b + g$
Ratio of boys to the total number of students $= b : b + g$
$=\frac{\text{b}}{\text{(b+g)}} $
Hence, $(a)$ is the correct option.

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MCQ 71 Mark

Mathematics textbook for class $VI$ has $320$ pages. The chapter ‘symmetry’ runs from page $261$ to page $272$. The ratio of the number of pages of this chapter to the total number of pages of the book is:

A
$11 : 320$
B
$3 : 40$
✓
$3 : 80$
D
$272 : 320$

Answer

Correct option: C.

$3 : 80$

Given,
Mathematics textbook for class $VI$ has pages $= 320$. The chapter symmetry runs from page $261$ to page $272.$
$\therefore$ Number of pages of chapter ‘symmetry’ $= 272 - 260 = 12$
Ratio of the number of pages of chapter ‘symmetry’ to the total number of pages $=\frac{12}{320} $
$=\frac{3}{80}$ [On dividing numerator and denominator by $4$]
$= 3 : 80$
Hence, $(c)$ is the correct option.

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MCQ 81 Mark

The ratio of the number of sides of a square to the number of edges of a cube is:

A
$1 : 2$
B
$3 : 2$
C
$4 : 1$
✓
$1 : 3$

Answer

Correct option: D.

$1 : 3$

Number of sides in a square $=4$ Number of edges in a cube $= 12$
Ratio of the number of sides of a square to number of edges $=\frac{4}{12}$
$=\frac{1}{3} =1:3$ [On dividing numerator and denominator by $4$]
Hence, $(d)$ is the correct option.

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MCQ 91 Mark

A picture is $60\ cm$ wide and $1.8m$ long. The ratio of its width to its perimeter in lowest form is:

A
$1 : 2$
B
$1 : 3$
C
$1 : 4$
✓
$1 : 8$

Answer

Correct option: D.

$1 : 8$

Given,
Width of picture $(b) = 60\ cm$ Length of picture $(l) = 1.8m$
$= (1.8\times 100)cm$
$=\frac{18}{10}\times 100= 180\text{cm}$
Perimeter of picture $= 2 \times (1 + b)$
$= 2 \times (180 + 60)cm$
$= (2 \times 240)cm= 480\ cm$
Ratio of width to its perimeter $=\frac{60}{480}$
$=1$ [On dividing numerator and denominator by $60$]
$=1 : 8$
Hence, $(d)$ is the correct option.

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MCQ 101 Mark

In a box, the ratio of red marbles to blue marbles is $7 : 4$. Which of the following could be the total number of marbles in the box?

A
$18$
B
$19$
C
$21$
✓
$22$

Answer

Correct option: D.

$22$

Given,
The ratio of red marbles to blue marbles $= 7 : 4$
Let the number of red marbles $= 7x$
and blue marbles $= 4x$
Then, total number of marbles $= 7x + 4x$
$= 11x$
Total number of marbles must be multiple of $11.$
By observation,
$\therefore$ $11x =22$
$\Rightarrow 11x = 11 \times 2$
Hence, $(d)$ is the correct option.

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MATHS M.C.Q. [1 Marks Each]

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