MCQ 11 Mark
Mark $(\checkmark)$ against the correct answer in the following: The ratio $92 : 115$ in simplest form is:
- A
$23 : 25$
- B
$18 : 23$
- C
$3 : 5$
- ✓
$4 : 5$
AnswerCorrect option: D. $4 : 5$
$92 : 115$
$\frac{92}{115}=\frac{92\div23}{115\div23}=\frac{4}{5} (\text{H.C.F}$ of $92$ and $115$ is $23)$
View full question & answer→MCQ 21 Mark
Mark $(\checkmark)$ against the correct answer in the following. If the cost of $5$ bars of soap is $Rs. 82.50,$ then the cost of one dozen such bars is
- A
$Rs. 208$
- B
$Rs. 192$
- ✓
$Rs. 198$
- D
$Rs. 204$
AnswerCorrect option: C. $Rs. 198$
$1$ dozen $= 12$ bars
Cost of $5$ bars of soap $= Rs. 82.50$
Then cost of $1$ bar $=\text{Rs. }\frac{82.50}{5}$
And cost of $12$ bars $=\text{Rs. }\frac{8250\times12}{100\times5}$
$=\text{Rs. }66\times3$
$=\text{Rs. }198$
View full question & answer→MCQ 31 Mark
Mark $(\checkmark)$ against the correct answer in the following. If a bus covers $195\ km$ in $3$ hours and a train covers $300\ km$ in $4$ hours, then the ratio of their speeds is:
- ✓
$13 : 15$
- B
$15 : 13$
- C
$13 : 12$
- D
$12 : 13$
AnswerCorrect option: A. $13 : 15$
Bus covers in $3$ hours $= 195\ \text{km}$
It will cover in $1$ hour $=\frac{195}{3}=65\ \text{km}$
Train cover in $4$ hours $=300\ \text{km}$
It will cover in $1$ hour $=\frac{300}{4}=75\ \text{km}$
$\therefore$ Ratio in thier speeds $=65:75$
$=13:15$
View full question & answer→MCQ 41 Mark
Mark $(\checkmark)$ against the correct answer in the following. If the cost of $30$ packets of $8$ pencils each is $Rs. 600,$ what is the cost of $25$ packets of $12$ pencils each?
- A
$Rs. 725$
- ✓
$Rs. 750$
- C
$Rs. 480$
- D
$Rs. 720$
AnswerCorrect option: B. $Rs. 750$
Total pencils in $30$ packets of $8$ pencils
$= 30 \times 8 = 240$
And total pencils of $25$ packets of $12$
Pencils $= 25 \times 12 = 300$
Now cost of $240$ pencils $= Rs. 600$
Then cost of $1$ percent $=\text{Rs. }\frac{600}{24}$
And cost of $300$ pencils $=\text{Rs. }\frac{600\times300}{240}$
$=\text{Rs. }750$
View full question & answer→MCQ 51 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
$Rs. 123.50$
AnswerCorrect 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 $= Rs. 161$
View full question & answer→MCQ 61 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
$120^\circ$
AnswerCorrect option: C. $90^\circ$
Ratio in the angles of triangle $= 3 : 1 : 2$
Sum of angle of a triangle $= 180^\circ$
Largest angle $=\frac{180^{\circ}\times3}{3+1+2}$
$=\frac{180^{\circ}\times3}{6}$
$=90^{\circ}$
View full question & answer→MCQ 71 Mark
Mark $(\checkmark)$ against the correct answer in the following. The $1^{st}, 2^{nd}$ and $4^{th}$ terms of a proportion are $12, 21$ and $14$ respectively. Its third term is:
Answer$1^{st}$ term $= 12$
$2^{nd}$ term $= 21$
fourth term $= 14$
Let third term $= x,$ then
$12 : 21 :: x : 14$
$\text{x}=\frac{12\times14}{21}=8$
View full question & answer→MCQ 81 Mark
Mark $(\checkmark)$ against the correct answer in the following: If $57 : x : : 51 : 85,$ then the value of $x$ is:
AnswerGiven:
$57 : x :: 51 : 85$
We know:
Product of means $=$ Product of extremes
$51\text{x} = 57 \times 85$
$\text{x}=\frac{4845}{51}=95$
View full question & answer→MCQ 91 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$10$ boys dig a patch in $= 12$ hours
$1$ boy will dig it in $= 12 \times 10$ hours
And $8$ boys will digit it in $\frac{12\times10}{8}$
$=15\text{ hours}.$
View full question & answer→MCQ 101 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:
Answer$\text{largest}=\frac{252\times7}{5+7}$
$=\frac{252\times7}{12}$
$=21\times7$
$=147$
View full question & answer→MCQ 111 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
AnswerCorrect option: B. $45$ days
$\frac{24\times18}{8}$
$=45\text{ days}$
View full question & answer→MCQ 121 Mark
Mark $(\checkmark)$ against the correct answer in the following. If $57 : x :: 51 : 85$ then the value of $x$ is:
Answer$\frac{57}{\text{x}}$
$=\frac{51}{85}$
$\Rightarrow\text{x}=\frac{57\times85}{51}=95$
View full question & answer→MCQ 131 Mark
Mark $(\checkmark)$ against the correct answer in the following. If $4 : 5 :: x : 35$ then the value of $x$ is:
Answer$\frac{4}{\text{5}}$
$=\frac{\text{x}}{35}$
$\Rightarrow\text{x}=\frac{4\times35}{5}$
$=28$
View full question & answer→MCQ 141 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:
AnswerRatio $= 3 : 5$
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 $= 60$
View full question & answer→MCQ 151 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?
Answer$\frac{26\times40}{20}$
$=520\text{ men}$
View full question & answer→MCQ 161 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?
AnswerRatio in length and breadth of a rectangle $= 5 : 4$
Width $= 36m$
Length $=\frac{5}{4}\times36\text{m}$
$=45\text{m}$
View full question & answer→MCQ 171 Mark
Mark $(\checkmark)$ against the correct answer in the following. Choose the correct statement:
- A
$(5 : 8) > (3 : 4)$
- ✓
$(5 : 8) < (3 : 4)$
- C
- D
Two ratios cannot be compared.
AnswerCorrect option: B. $(5 : 8) < (3 : 4)$
$\frac{5}{8}<\frac{3}{4}$
$\Rightarrow4\times5<3\times8$
$\Rightarrow20<24$
View full question & answer→MCQ 181 Mark
Mark $(\checkmark)$ against the correct answer in the following. A rail journey of $75\ km$ costs $Rs. 215.$ How much will a journey of $120\ km$ cost?
- ✓
$Rs. 344$
- B
$Rs. 324$
- C
$Rs. 268.75$
- D
AnswerCorrect option: A. $Rs. 344$
Journey of $75\ km$ costs $= Rs. 215$
Cost of $1\ km=\text{Rs. }\frac{215}{75}$
And cost for $120$ for $=\text{Rs. }\frac{215\times120}{75}$
$=\text{Rs. }344$
View full question & answer→MCQ 191 Mark
Mark $(\checkmark)$ against the correct answer in the following. The sides of a triangle are in the ratio $1 : 3 : 5$ and its perimeter is $90\ cm,$ the length of its largest side is:
- A
$40\ cm$
- ✓
$50\ cm$
- C
$36\ cm$
- D
$54\ cm$
AnswerCorrect option: B. $50\ cm$
$\text{largest}=\frac{90\times5}{1+3+5}$
$=\frac{90\times5}{9}$
$=50\ \text{cm}$
View full question & answer→MCQ 201 Mark
Mark $(\checkmark)$ against the correct answer in the following: If $4 : 5 : : x : 45,$ then the value of $x$ is:
AnswerGiven:
$4 : 5 :: x : 45$
We know:
Product of mean $=$ Product of extremes
$5x = 4 \times 45$
$\text{x}=\frac{180}{5}=36$
View full question & answer→MCQ 211 Mark
Mark $(\checkmark)$ against the correct answer in the following. In covering $111\ km,$ a car consumes $6L$ of petrol. How many kilometres will it go in $10L$ of petrol?
- A
$172\ km$
- ✓
$185\ km$
- C
$205\ km$
- D
$266.4\ km$
AnswerCorrect option: B. $185\ km$
In $6L$ of petrol, a car covers $= 111\ km$
In $1L,$ it will cover $=\frac{111}{6}\ \text{km}$
And in $10L$ it will cover $=\frac{111\times10}{6}\ \text{km}$
$=185\ \text{km}$
View full question & answer→MCQ 221 Mark
Mark $(\checkmark)$ against the correct answer in the following: The first three terms of a proportion are $12, 21$ and $8$ respectively. The $4^{th}$ term is:
Answer$12 : 21 :: 8 : x$
Now, we know:
Product of extremes $=$ Product of means
$12x = 21 \times 8$
$\text{x}=\frac{128}{12}=14$
View full question & answer→MCQ 231 Mark
Mark $(\checkmark)$ against the correct answer in the following: A car travels $288\ km$ is $4$ hours and a train travels $540\ km$ in $6$ hours. The ratio of their speeds is:
- A
$5 : 4$
- ✓
$4 : 5$
- C
$5 : 6$
- D
$3 : 5$
AnswerCorrect option: B. $4 : 5$
Speed of the car $=\frac{\text{Distance}}{\text{Time }}=\frac{288\text{km}}{4\text{ hour}}=72\ \text{km}/\text{hr}$
Speed of the train $=\frac{\text{Distance}}{\text{Time }}=\frac{540\text{km}}{6\text{ hour}}=90\ \text{km}/\text{hr}$
Ratio of their speeds $= 72:90$
where, $\frac{72}{90}=\frac{72\div18}{90\div18}=\frac{4}{5}$
$(\text{H.C.F}$ of $72$ and $90$ is $18)$
View full question & answer→MCQ 241 Mark
Mark $(\checkmark)$ against the correct answer in the following. If $Rs. 760$ is divided between $A$ and $B$ in the ratio $8 : 11,$ then $B’s$ share is:
- ✓
$Rs. 440$
- B
$Rs. 320$
- C
$Rs. 430$
- D
$Rs. 330$
AnswerCorrect option: A. $Rs. 440$
Total amount $= Rs. 760$
Ratio $A : B = 8 : 11$
$\therefore\text{B}'\text{s}\text{ share}=\frac{760\times11}{8+11}$
$=\frac{760\times11}{19}$
$=\text{Rs. }440$
View full question & answer→Question 251 Mark
Write 'T' for true and 'F' for false for the statements given below:6 : 8 and 9 : 12 are equivalent ratios of 3 : 4
AnswerTrue.
Solution:
$\frac{6}{8}=\frac{6\div2}{8\div2}$
$=\frac{3}{4},\frac{9}{2}$
$=\frac{45\div15}{60\div15}=\frac{3}{4}$
They are in proportion
Hence true.
View full question & answer→MCQ 261 Mark
Mark $(\checkmark)$ against the correct answer in the following. If $25 : 35 :: 45 : x$ then the value of $x$ is:
Answer$\frac{25}{\text{35}}$
$=\frac{45}{\text{x}}$
$\Rightarrow\text{x}=\frac{45\times35}{25}$
$=9\times7$
$=63$
View full question & answer→MCQ 271 Mark
Mark $(\checkmark)$ against the correct answer in the following. The ratio $92 : 115$ in its simplest for is:
- A
$23 : 25$
- B
$18 : 23$
- C
$3 : 5$
- ✓
$4 : 5$
AnswerCorrect option: D. $4 : 5$
$\frac{92}{115}$
$=\frac{92\div23}{115\div23}$
$=\frac{4}{5}\text{ or }4:5$
View full question & answer→MCQ 281 Mark
Mark $(\checkmark)$ against the correct answer in the following. If $a, b, c, d$ are in proportion then:
- A
$ac = bd$
- ✓
$ad = bc$
- C
$ab = cd$
- D
AnswerCorrect option: B. $ad = bc$
$\frac{\text{a}}{\text{b}}$
$=\frac{\text{c}}{\text{d}}$
$\Rightarrow\text{ad}=\text{bc}$
View full question & answer→MCQ 291 Mark
Mark $(\checkmark)$ against the correct answer in the following. If $a, b, c$ are in proportion then:
- A
$a^2 = bc$
- ✓
$b^2 = ac$
- C
$c^2 = ab$
- D
AnswerCorrect option: B. $b^2 = ac$
$\Rightarrow\frac{\text{a}}{\text{b}}=\frac{\text{b}}{\text{c}}$
$\Rightarrow\text{b}^2=\text{ac}$
View full question & answer→MCQ 301 Mark
Mark $(\checkmark)$ against the correct answer in the following. The ratio of boys and girls in a school is $12 : 5.$ If the number of girls is $840,$ the total strength of the school is:
- A
$1190$
- B
$2380$
- ✓
$2856$
- D
$2142$
AnswerCorrect option: C. $2856$
Total strength of school
$\text{Largest}=\frac{840}{5}\times(12+5)$
$=\frac{840\times17}{5}$
$=168\times17$
$=2856$
View full question & answer→MCQ 311 Mark
Mark $(\checkmark)$ against the correct answer in the following. In a fort, $550$ men had provisions for $28$ days. How many days will it last for $700$ men?
- ✓
$22\text{ days}$
- B
$35\frac{7}{11}$
- C
$34\text{ days}$
- D
AnswerCorrect option: A. $22\text{ days}$
$\frac{28\times550}{700}$
$=22\text{ days} $
View full question & answer→MCQ 321 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
$9$ hrs $36$ min
- ✓
$15$ hours
- C
$6$ hrs $40$ min
- D
$13$ hrs $10$ min
AnswerCorrect option: B. $15$ hours
Time taken by $10$ boys to dig a pitch $= 12$ hours
Time taken by $1$ boy to dig a pitch $= 12 \times 10 = 120$ hours. $($Less boys would take more hours$.)$
Time taken by $8$ boys to dig a pitch $=\frac{120}{8}=15$ hours
View full question & answer→