Questions · Page 2 of 5

M.C.Q. [1 Marks Each]

MCQ 511 Mark
Ratio is a method of comparing two quantities by
  • A
    Addition
  • B
    Subtraction
  • Division
  • D
    None
Answer
Correct option: C.
Division
The method of comparing two quantities (numbers, things, etc.) by dividing one quantity by the other is called a ratio.
So Answar is division
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MCQ 521 Mark
$14$ : If $a, b, c, d$ are in proportion, then
  • A
    $ab = cd$
  • B
    $ac = bd$
  • $ad = bc$
  • D
    None of these.
Answer
Correct option: C.
$ad = bc$
$\because a, b, c$ and $d$ are in proportion,
$\therefore$​ $a : b = c : d$
$\Rightarrow ab = cd$
$\Rightarrow ad = bc$
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MCQ 531 Mark
In a football match the ratio of total number of players of both the teams to the number of referees is:
  • A
    $\frac{10}{2}$
  • B
    $\frac{11}{2}$
  • C
    $\frac{22}{2}$
  • $\frac{22}{1}$
Answer
Correct option: D.
$\frac{22}{1}$
The total number of football player in$1$ team $= 11$
therefore in $2$ teams the player must bes $2 \times 11 = 22$ and refree $= 1$
$\text{Ratio}=\frac{22}{1}$
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MCQ 541 Mark
Ratio of $250\ ml$ to $22\ L$ is.
  • $25 : 100$
  • B
    $8 : 1$
  • C
    $1 : 8$
  • D
    $2 : 1$
Answer
Correct option: A.
$25 : 100$
$2\ L = 2000\ ml$
Now, the ratio $250 : 2000$
$= 1 : 8$
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MCQ 551 Mark
In an office, the working hours are $10.30\ AM$ to $5.30\ PM$ and in between $30$ minutes are spent on lunch. Find the ratio of office hours to the time spent for lunch.
  • A
    $\frac{7}{30}$
  • B
    $\frac{1}{14}$
  • $\frac{14}{1}$
  • D
    $\frac{30}{7}$
Answer
Correct option: C.
$\frac{14}{1}$

The offfice hours are from $10.30\ AM$ to $5.30\ PM$ hence total office
hours are $7$ hours and lunch time hours is $\frac{1}{2}$ hours
ratio of office hrs to lunch time $=\frac{7}{\frac{1}{2}}$
this gives ratio $= 14 : 1$

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MCQ 561 Mark
Mark $(\checkmark)$ against the correct answer in the following.
If the cost of $12$ pens is $Rs. 138$, then the cost of $14$ such pens is:
  • A
    $Rs. 164$
  • $Rs. 161$
  • C
    $Rs. 118.30$
  • D
    $Rs. 123.50$
Answer
Correct option: B.
$Rs. 161$
Cost of $12$ pens $= Rs\ 138$
Cost of $1$ pen $=\text{Rs.}\frac{138\times14}{12}$
And cost of $14$ pens $= Rs. 161$
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MCQ 571 Mark
A jar contains black and white marbles. If there are ten marbles in the jar, then which of the following could $NOT$ be the ratio of black to white marbles?
  • A
    $9 : 1$
  • B
    $7 : 3$
  • $1 : 10$
  • D
    $1 : 4$
Answer
Correct option: C.
$1 : 10$
 
A jar contains black and white marbles The total marble is $10$ Optn
$a.\ 9 + 1 = 10$ Optn
$b.\ 7 + 3 = 10$ Optn
$c.\ 1 + 10 = 11 ($does not satisfy the condition so that $10$ is the answer$)$ Optn
$d.\ x = 2, 2 + 8 = 10$
 
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MCQ 581 Mark
Two taps can fill a tub in $5$ minutes and $7$ minutes respectively $A$ pipe can empty it in $3$ minutes If all the three are kept open simultaneously when will the tub be full?
  • A
    $60$ minutes
  • B
    $85$ minutes
  • C
    $90$ minutes
  • $105$ minutes
Answer
Correct option: D.
$105$ minutes
Given Two taps can fill a tub in $5$ minutes and $7$ minutes respectively $A$ pipe can empty it in $3$ minutes Then net part fill in one hours
$=\frac{1}{5}+\frac{1}{7}-\frac{1}{3}=\frac{21+15+-35}{105}=\frac{1}{105}$
Then total tank fill in $105$ minites
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MCQ 591 Mark
Ratio of $60$ hrs to $600$min is
  • A
    $3600 : 600$
  • B
    $1 : 6$
  • $6 : 1$
  • D
    $5 : 1$
Answer
Correct option: C.
$6 : 1$

$60$ hrs $= 60 \times 60$ mins $= 3600$ mins
Now, the ratio
$3600 : 600$
$= 6 : 1$

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MCQ 601 Mark
Mark $(\checkmark)$ against the correct answer in the following.
The angles of a triangle are in the ratio $3 : 1 : 2$. The measure of the largest angle is:
  • A
    $30^\circ $
  • B
    $60^\circ$
  • $90^\circ $
  • D
    $120^\circ$
Answer
Correct option: C.
$90^\circ $
Ratio in the angles of triangle $= 3 : 1 : 2$
Sum of angle of a triangle $= 180^\circ $
Largest angle $=\frac{180^{\circ}\times3}{3+1+2}$
$=\frac{180^{\circ}\times3}{6}$
$=90^{\circ}$
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MCQ 611 Mark
Mark $(\checkmark)$ against the correct answer in the following.
The 1st, 2nd and 4th terms of a proportion are $12, 21$ and $14$ respectively. Its third term is:
  • A
    $15$
  • B
    $18$
  • C
    $21$
  • $8$
Answer
Correct option: D.
$8$
$1$st term $= 12$
$2$nd term $= 21$
fourth term $= 14$
Let third term $= x$, then
$12 : 21 :: x : 14$
$\text{x}=\frac{12\times14}{21}=8$
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MCQ 621 Mark
The sum of two real numbers $x$ and $y$ is $20.$ If $xy^3$ is greatest, then the ratio $x^2 : y^2$ is $1:\lambda.$ Find the value of $\lambda$
  • $\frac{1}{9}$
  • B
    $\frac{5}{9}$
  • C
    $\frac{4}{9}$
  • D
    $\frac{7}{9}$
Answer
Correct option: A.
$\frac{1}{9}$
We have, $x + y =20 \rightarrow$ $(1)$
Let $z=x y^3=(20-y) y^3=20 y^3-y^4$
Now for $\max$ of $z , \frac{ dz }{ dy }=0$
$\Rightarrow 60 y ^2-4 y ^3=0 \rightarrow y =15$
Therefore $x =20- y =5$
Hence $\frac{ x ^2}{ y ^2}=\frac{25}{225}=\frac{1}{9} \Rightarrow \lambda=9$
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MCQ 631 Mark
Mark $(\checkmark)$ against the correct answer in the following:
If $57 : x : : 51 : 85$, then the value of $x$ is:
  • $95$
  • B
    $76$
  • C
    $114$
  • D
    None of these.
Answer
Correct option: A.
$95$
Given:
$57 : x :: 51 : 85$
We know:
Product of means = Product of extremes
$51\text{x} = 57 \times 85$
$\text{x}=\frac{4845}{51}=95$
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MCQ 641 Mark
Five litres are drawn off from a vessel full of milk and substituted by water Again five litres of the mixture are withdrawn and is replaced by water If the vessel now contains milk and water in the ratio $16 : 9$ the capacity of the vessel is.
  • A
    $12.5$ litres
  • $25$ litres
  • C
    $20$ litres
  • D
    $15$ litres
Answer
Correct option: B.
$25$ litres
Let the capacity be $x$ lites $5$ litres of quantity is taken out every time and is
replaced with water two $\big(\frac{\text{x}-5}{\text{x}}\big)^2=\frac{16}{16+9}=\frac{16}{25}=\big(\frac{4}{5}\big)^2$
$\Rightarrow\big(\frac{\text{x}-5}{\text{x}}\big)=\frac{4}{5}$
$\Rightarrow\text{x}=25\text{ liters}$
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MCQ 651 Mark
Mark the correct alternative in the following:
Two numbers are in the ration $3 : 5$ and their sum is $96$. The larger number is:
  • A
    $36$
  • B
    $42$
  • $60$
  • D
    $70$
Answer
Correct option: C.
$60$
Let the larger number be $x$.
Then, the smaller number be $(96 - x)$.
According to the question,
$\frac{96-\text{x}}{\text{x}}=\frac{3}{5}$
$\Rightarrow\frac{(96-\text{x})\times\text{x}\times5}{\text{x}}=\frac{3\times\text{x}\times5}{5}$
$\Rightarrow5(96-\text{x})=3\text{x}$
$\Rightarrow480-5\text{x}=3\text{x}$
$\Rightarrow3\text{x}+5\text{x}=480$
$\Rightarrow8\text{x}=480$
$\Rightarrow\frac{8\text{x}}{8}=\frac{480}{8}$
$\Rightarrow\text{x}=60$
Thus, the larger number is $60$.
Hence, the correct option is $(c)$.
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MCQ 661 Mark
If $2a = 3b$ then $a : b =$
  • A
    $1 : 3$
  • $3 : 2$
  • C
    $2 : 3$
  • D
    $1 : 2$
Answer
Correct option: B.
$3 : 2$
$2\text{a}=3\text{a}\Rightarrow\frac{\text{a}}{\text{b}}=\frac{3}{2}$
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MCQ 671 Mark
Mark the correct alternative in the following:
If $80 : 60 = x : 12$, then $x =$
  • $16$
  • B
    $7$
  • C
    $24$
  • D
    $50$
Answer
Correct option: A.
$16$
It is given that,
$\frac{80}{60}=\frac{\text{x}}{12}$
$\Rightarrow\frac{80\div5}{60\div5}=\frac{\text{x}}{12}$
$\Rightarrow\frac{16}{12}=\frac{\text{x}}{12}$
$\Rightarrow\text{x}=16$
Hence, the correct option is $(a)$.
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MCQ 681 Mark
If $A : B = 2 : 3 B : C = 4 : 5, C : D = 3 : 7,$ then $A : B : C : D$ is.
  • A
    $2 : 3 : 4 : 7$
  • $8 : 12 : 15 : 35$
  • C
    $24 : 36 : 45 : 105$
  • D
    None of these
Answer
Correct option: B.
$8 : 12 : 15 : 35$
$A : B = 2 : 3$ or $A : B = 4 \times 2 : 4 \times 3 = 8 : 12$
$B : C = 4 : 5$ or $B : C = 4 \times 3 : 5 \times 3 = 12 : 15$
$C : D = 3 : 7$ or $C : D = 3 \times 5 : 7 \times 5 = 15 : 35$
$\therefore$ $A : B : C : D = 8 : 12 : 15 : 35$
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MCQ 691 Mark
Mark the correct alternative in the following:
If $a = 2b$, then $a : b =$
  • $2 : 1$
  • B
    $1 : 2$
  • C
    $3 : 4$
  • D
    $4 : 3$
Answer
Correct option: A.
$2 : 1$
$a = 2b$
$\Rightarrow\frac{\text{a}}{\text{b}}=\frac{2}{1}$
$\Rightarrow\text{a}:\text{b}=2:1$
Hence, the correct option is $(a)$.
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MCQ 701 Mark
Mark $(\checkmark)$ against the correct answer in the following.
$10$ boys can dig a pitch in $12$ hours. How long will $8$ boys take to do it?
  • A
    $9h\ 36\ min$
  • $15h$
  • C
    $6h\ 40\ min$
  • D
    $13h\ 20\ min$
Answer
Correct option: B.
$15h$

$10$ boys dig a patch in $= 12$ hours
$1$ boy will dig it in $= 12 \times 10$ hours
And $8$ boys will digit it in $\frac{12\times10}{8}$
$=15\text{ hours}.$

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MCQ 711 Mark
Mark the correct alternative in the following:
If $4 : 5 : : x : 45$, then $x =$
  • A
    $54$
  • B
    $60$
  • $36$
  • D
    $30$
Answer
Correct option: C.
$36$
$4 : 5 : : x : 45$
$\Rightarrow\frac{4}{5}=\frac{\text{x}}{45}$
$\Rightarrow\frac{4\times45}{5}=\frac{\text{x}\times45}{45}$
$\Rightarrow\frac{4\times6}{1}=\text{x}$
$\Rightarrow\text{x}=36$
Hence, the correct option is $(c)$.
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MCQ 721 Mark
The ratio of boys and girls in a school is $12 : 5$. If there are $840$ girls in the school, then the number of boys is:
  • A
    $1190$
  • B
    $2380$
  • C
    $2856$
  • $2016$
Answer
Correct option: D.
$2016$
If the number of girls in the school is 840, let the number of boys be $x$,
It is given that the ratio of boys and girls is $12 : 5$,
Therefore, we get:
$\therefore$ $12 : 5 = x : 840$
$\text{x}=\frac{12\times840}{5}=2016$
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MCQ 731 Mark
The ratio of three numbers is $3 : 4 : 5$ and the sum of their squares is $1250.$ The sum of the three numbers is:
  • $60$
  • B
    $90$
  • C
    $30$
  • D
    $50$
Answer
Correct option: A.
$60$
Let the three numbers be $3x, 4x$ and $5x.$
Given $(3x)^2 + (4x)^2 + (5x)^2 = 1250$
$9x^2 + 16x^2 + 25x^2 = 1250$
$\Rightarrow 50x^2 = 1250$
$\Rightarrow x^2 = 25$
$\Rightarrow x = 5$
$\therefore$ The three numbers are $3 \times 5, 4 \times 5$ and $5 \times 5$
i.e., $15, 20$ and $25$
Required sum $= 15 + 20 + 25 = 60$
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MCQ 741 Mark
If a sphere and cube have the same surface are then the ratio of the diameter of sphere to edge of the cube is
  • $\sqrt{6}:\sqrt{\pi}$
  • B
    $\sqrt{\pi}:\sqrt{6}$
  • C
    $2:1$
  • D
    $1:2$
Answer
Correct option: A.
$\sqrt{6}:\sqrt{\pi}$
Surface area of cube $= 6a^2$
Surface area of sphere $=\pi\text{r}^2$ As per question both are same
$4\pi\text{r}^2=6\text{a}^2\Rightarrow\frac{\text{r}^2}{\text{a}^2}=\frac{3}{2\pi}$
$\Rightarrow\frac{\text{r}^2}{\text{a}^2}=\frac{3}{2\pi}\Rightarrow\frac{\text{r}}{\text{a}}=\sqrt{\frac{3}{2\pi}}$
Then ratio of Diameter of sphere and edge of the cube $=\frac{2\sqrt{3}}{\sqrt{2\pi}}=\frac{\sqrt{6}}{\sqrt\pi}$
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MCQ 751 Mark
The ratio of $96\ m$ and $72\ m$ is.
  • A
    $3 : 4$
  • $4 : 3$
  • C
    $2 : 1$
  • D
    $4 : 1$
Answer
Correct option: B.
$4 : 3$
To find the ratio of two numbers, we have to consider their fraction.
Here, the numbers are $96m$ and $72m$ then we have:
$\frac{96\text{m}}{72\text{m}}=\frac{96}{72}=\frac{4}{3}=4:3$
Hence, the ratio of $96\ m$ and $72\ m$ is $4 : 3$
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MCQ 761 Mark
Mark $(\checkmark)$ against the correct answer in the following.
Two numbers are in the ratio $5 : 7$ and the sum of these numbers is $252$. The larger of these number is:
  • A
    $85$
  • B
    $119$
  • C
    $105$
  • $147$
Answer
Correct option: D.
$147$
$\text{largest}=\frac{252\times7}{5+7}$
$=\frac{252\times7}{12}$
$=21\times7$
$=147$
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MCQ 771 Mark
In a class there are $50$ boys and $30$ girls. The ratio of the number of boys to the number of girls in the class is
  • A
    $80 : 50$
  • B
    $3 : 5$
  • $5 : 3$
  • D
    None of these
Answer
Correct option: C.
$5 : 3$
Number of boys in class $=50$
Number of girls in class $=30$
Ratio of number of boys to the number of girls in the class $=50: 30=5: 3$
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MCQ 781 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 791 Mark
Mark $(\checkmark)$ against the correct answer in the following.
If $24$ workers can build a wall in $15$ days, how many days will $8$ workers take to build a similar wall?
  • A
    $42$ days
  • $45$ days
  • C
    $48$ days
  • D
    None of these.
Answer
Correct option: B.
$45$ days
$\frac{24\times18}{8}$
$=45\text{ days}$
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MCQ 801 Mark
Mark $(\checkmark)$ against the correct answer in the following.
If $57 : x :: 51 : 85$ then the value of $x$ is:
  • $95$
  • B
    $76$
  • C
    $114$
  • D
    None of these.
Answer
Correct option: A.
$95$
$\frac{57}{\text{x}}$
$=\frac{51}{85}$
$\Rightarrow\text{x}=\frac{57\times85}{51}=95$
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MCQ 811 Mark
Mark $(\checkmark)$ against the correct answer in the following.
If $4 : 5 :: x : 35$ then the value of $x$ is:
  • A
    $42$
  • B
    $32$
  • $28$
  • D
    None of these.
Answer
Correct option: C.
$28$
Correct option is $C$. $28$
$\text { Given }$
$4: 5:: x: 35 $
$\Rightarrow \frac{4}{5}=\frac{x}{35} $
$\Rightarrow 5 x=4 \times 35 $
$\Rightarrow x=\frac{(4 \times 35)}{5}$
$\Rightarrow x=\frac{140}{5} $
$\Rightarrow x=28$
Hence, Option $(C)$ is the correct answer
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MCQ 821 Mark
In our country India the ratio of number of states to the number of union territories is
  • A
    $7 : 28$
  • B
    $25 : 7$
  • $28 : 9$
  • D
    $7 : 25$
Answer
Correct option: C.
$28 : 9$
Number of states $= 29$ Number of union territories $= 9$ Ratio $29 : 9$
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MCQ 831 Mark
Two numbers whose sum is $64$, cannot be in the ratio?
  • A
    $5 : 3$
  • $3 : 4$
  • C
    $7 : 1$
  • D
    $9 : 7$
Answer
Correct option: B.
$3 : 4$
For dividing $64$ into two whole numbers, the sum of the terms of the ratio must be a factor of $64.$
So, they cannot be in the ratio $3 : 4$
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MCQ 841 Mark
The fraction $\frac{5}{8}$ can be written in the form of ratio as:
  • A
    $8 : 5$
  • $5 : 8$
  • C
    $4 : 5$
  • D
    None of the above.
Answer
Correct option: B.
$5 : 8$
Given fraction is $ \frac{5}{8}$ which can be written in form of ratio as $5 : 8$
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MCQ 851 Mark
If $bc : ac : ab = 1 : 2 : 3$ then find $\frac{\text{a}}{\text{bc}}:\frac{\text{b}}{\text{ca}}$
  • A
    $1 : 4$
  • B
    $3 : 4$
  • C
    $1 : 3$
  • $4 : 1$
Answer
Correct option: D.
$4 : 1$
$bc : ac = 1 : 2$ or $ac : bc = 2 : 1$ or $a : b = 2 : 1 (1)$
$ac : ab = 2 : 3$ or $ab : ac = 3 : 2$ or $b : c = 3 : 2 (2)$
From $(1)$ and $(2), a : b = 2 \times 3 : 1 \times 3 = 6 : 3$
$\therefore a : b : c = 6 : 3 : 2$
$\therefore\frac{\text{a}}{\text{bc}}:\frac{\text{b}}{\text{ca}}=\frac{6}{3\times2}:\frac{3}{2\times6}=1:\frac{1}{4}=4:1$
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MCQ 861 Mark
Mark $(\checkmark)$ against the correct answer in the following:
Two numbers are in the ratio $3 : 5$ and their sum is $96.$ The larger number is:
  • A
    $36$
  • B
    $42$
  • $60$
  • D
    $70$
Answer
Correct option: C.
$60$
Ratio $= 3 : 5$
Let $x$ be any number such that we have:
$3\text{x} + 5\text{x} = 96$
$\Rightarrow 8\text{x} = 96$
$\Rightarrow\text{x}=\frac{96}{8}=12$
The numbers are:
$3\text{x} = 3 ​\times 12 = 36$
$5\text{x} = 5 \times 12 = 60$
The largest number $= 60$
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MCQ 871 Mark
Two ratio $384 : 480$ in its simplest form is:
  • A
    $3 : 5$
  • B
    $5 : 4$
  • $4 : 5$
  • D
    $2 : 5$
Answer
Correct option: C.
$4 : 5$
$384 : 480 = 4 : 5$ (Dividing the denominator and numerator by $96$).
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MCQ 881 Mark
If $\text{a}:\text{b}=1\frac{1}{2}:2\frac{1}{4}$ and $\text{b}:\text{c}=\frac{1}{7}:\frac{1}{4}$ what is $a : b : c$?
  • A
    $12 : 8 : 21$
  • B
    $8 : 21 : 12$
  • $8 : 12 : 21$
  • D
    $21 : 8 : 12$
Answer
Correct option: C.
$8 : 12 : 21$
$\text{A : B}=1\frac{1}{2}:2\frac{1}{4}=\frac{\frac{3}{2}}{\frac{4}{3}}=\frac{2}{3}=\frac{8}{12}$
$\text{B : C}=\frac{\frac{1}{7}}{\frac{1}{4}}=\frac{4}{7}=\frac{12}{21}$
$\text{A : B : C}=8:12:21$
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MCQ 891 Mark
The volume of a sphere is $8$ times that of another sphere. What is the ratio of their surface areas?
  • A
    $8 : 1$
  • $4 : 1$
  • C
    $2 : 1$
  • D
    $4 : 3$
Answer
Correct option: B.
$4 : 1$
We know that if volume ratio of two spheres is $8 : 1$ then the ratio of their radii is $8^\frac{1}{3}:1^\frac{1}{3}=2:1$
Therefore, ratio of their surface areas $= 4n(2)2^ : 4n(1)^2 = 4 : 1$
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MCQ 901 Mark
The ratio of number of males to number of females in a club are $7 : 4$ If there are $84$ males in the club, the total number of members in the club are
  • A
    $126$
  • $132$
  • C
    $136$
  • D
    $148$
Answer
Correct option: B.
$132$
Let the number of males $= 7x$ and
number of Females $= 4x$
Given that $7x = 8$4
$\Rightarrow x = 12$
Total number of members $= 7x + 4x = 11x$
$= 11 \times 12 = 132$
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MCQ 911 Mark
Mark $(\checkmark)$ against the correct answer in the following.
If $40$ men can finish a piece of work in $26$ days, how many men will be required to finish it in $20$ days?
  • $52$
  • B
    $31$
  • C
    $13$
  • D
    $65$
Answer
Correct option: A.
$52$
$\frac{26\times40}{20}$
$=520\text{ men}$
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MCQ 921 Mark
The ratio of $350g$ and $3\ kg$ is:
  • A
    $\frac{116}{1}$
  • B
    $\frac{60}{7}$
  • $\frac{7}{60}$
  • D
    $\text{None}$
Answer
Correct option: C.
$\frac{7}{60}$

The ratio of $350g$ and $3\ kg$
first convert $3\ kg$ to $g$
we get $3g = 3000g$
$\text{ratio}=\frac{350}{3000}$
$\text{We getratio}=\frac{7}{60}$

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MCQ 931 Mark
Mark $(\checkmark)$ against the correct answer in the following.
Length and breadth of a rectangular field are in the ratio $5 : 4$. If the width of the field is $36m$, what is its length?
  • A
    $40m$
  • $45m$
  • C
    $54m$
  • D
    $50m$
Answer
Correct option: B.
$45m$
Ratio in length and breadth of a rectangle $= 5 : 4$
Width $= 36m$
Length $=\frac{5}{4}\times36\text{m}$
$=45\text{m}$
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MCQ 941 Mark
The ratio of $x\%$ of $y$ to $y\%$ of $x$ is equal to.
  • A
    $\frac{1}{\text{xy}}$
  • B
    $\text{xy}$
  • C
    $\frac{\text{x}}{\text{y}}$
  • $1$
Answer
Correct option: D.
$1$
$1$
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MCQ 951 Mark
The ratio of the length and breadth of a rectangle is $4 : 3$ The area of the rectangle is $192\ cm^2.$ The perimeter of the rectangle will be-
  • A
    $46\ cm$
  • B
    $36\ cm$
  • $56\ cm$
  • D
    $28\ cm$
Answer
Correct option: C.
$56\ cm$
Let the length and breadth of the rectangle be $4x\ cm$ and $3x\ cm$ respectively.
$\therefore$ Area of the triangle $= 12x^2$
$= 192$
or $x^2 = 16$
or $x = 4$
$\therefore$ Length $16\ cm$ and breadth $12\ cm$
$\therefore$ Perimeter of the rectangle $= 2(16 + 12)$
$= 56\ cm$
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MCQ 961 Mark
Ratio of $30$ hrs to $300$ min is____
  • $6 : 1$
  • B
    $1 : 6$
  • C
    $4 : 1$
  • D
    $900 : 300$
Answer
Correct option: A.
$6 : 1$
$30 \times 60 = 1800\ min : 300\ min$
$= 1800 : 300 = 1800 : 300$
$= 6 : 1$
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MCQ 971 Mark
Simplest form of the ratio $144 : 28$ is
  • A
    $28 : 4$
  • $36 : 7$
  • C
    $7 : 36$
  • D
    $1 : 2$
Answer
Correct option: B.
$36 : 7$
$\frac{144}{4}:\frac{28}{4}\text{ HCF}=4$
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MCQ 981 Mark
The ratio of $75\ mL$ to $3$ lires is.
  • A
    $25 : 1$
  • B
    $40 : 1$
  • $1 : 40$
  • D
    $3 : 200$
Answer
Correct option: C.
$1 : 40$
$75\ ml$ to $3$ litre
$= 75 : 3000$
$= 1 : 40$
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MCQ 991 Mark
If $57 : x = 51 : 85$, then the value of $x$ is:
  • $95$
  • B
    $76$
  • C
    $114$
  • D
    None of these.
Answer
Correct option: A.
$95$
Consider
$57 : x = 51 : 85$
$\Rightarrow\frac{57\times85}{51}=\text{x}$
$\Rightarrow\text{x}=95$
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MCQ 1001 Mark
The ratio of the heights of $A$ and $B$ is $4 : 3$ If $B$ is $1.2m$ tall, then the height of $A$ is.
  • A
    $0.9m$
  • B
    $1.8m$
  • $1.6m$
  • D
    None
Answer
Correct option: C.
$1.6m$
$\text{Height of A }=\frac{4}{3}\times\text{height of B}$
$=\frac{4}{3}\times1.2$
$=1.6\text{m}$
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M.C.Q. [1 Marks Each] - Page 2 - MATHS STD 6 Questions - Vidyadip