Sample QuestionsRatio And Proportion questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A rectangular field has its length and breadth in the ratio $5 : 3$ Its area is $3.75$ hectares The cost of fending it at $Rs. 5$ per metre is.
- A
$Rs. 400$
- ✓
$Rs. 4000$
- C
$Rs. 1000$
- D
$Rs. 500$
Answer: B.
View full solution →In a cricket team the ratio of total number of players to the number of wicket keepers is
- A
$1 : 11$
- ✓
$11 : 1$
- C
$16 : 1$
- D
$10 : 1$
Answer: B.
View full solution →The ratio of $0.12\ kg$ and $180\ g$ is.
- A
$0.01 : 1.8$
- B
$1 : 15$
- ✓
$2 : 3$
- D
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following:
The ratio $92 : 115$ in simplest form is:
- A
$23 : 25$
- B
$18 : 23$
- C
$3 : 5$
- ✓
$4 : 5$
Answer: D.
View full solution →$A, B, C$ earn $Rs. 1,980$ in total. They earn it in the ratio of $2 : 1$ and $3 : 2$ respectively, then $B$ earned
- A
$Rs. 500$
- B
$Rs. 520$
- ✓
$Rs. 540$
- D
$Rs. 560$
Answer: C.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Out of 30 students in a class, $20$ like cricket and $10$ like Hockey. The ratio of the number of students liking Hockey to the total number of students is $1 : 3$
Reason (R): Two quantities can be compared only if they are in the same unit.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- ✓
$A$ is false but $R$ is true
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The monthly salary of Hari Kishan is $₹. 80000$. The monthly salary of Manish is $₹. 40000.$
Reason (R): Two quantities can be compared only if they are in the same unit.
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- D
$A$ is false but $R$ is true
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $15 : 40 : : 10 : 30$
Reason (R): Proportion says that two ratios (or fractions) are equal
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- ✓
$A$ is false but $R$ is true
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The cost of a car is $₹ 3,00,000$. The cost of a motorbike is $₹ 50,000$. The ratio of the cost of motorbike to the cost of car is $1 : 6$
Reason (R): Two quantities can be compared only if they are in the same unit.
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- D
$A$ is false but $R$ is true
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $1 : 2$ is not equivalent to $10 : 5$
Reason (R): we can get equivalent ratios by multiplying or dividing the numerator and denominator by the same number.
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
- C
$A$ is true but $R$ is false
- D
$A$ is false but $R$ is true
Answer: A.
View full solution →$0.9 : 0.36 :: 10 : 4$
View full solution →$5.2 : 3.9 :: 3 : 4$
View full solution →$8 : 9 :: 24 : 27$
View full solution →$12 : 18 :: 28 : 12$
View full solution →$21 : 6 :: 35 : 10$
View full solution →$4$ dozen pens cost $₹56.$ So the cost of $3$ dozen pens is$………… (₹14, ₹42, ₹28)$
View full solution →$1: ……..= 8:72 (4. 9. 12)$
View full solution →$3:4:9=…………. (4. 9. 12)$
View full solution →$\frac{60}{80}$ is written in the lowest terms as………… $\left(\frac{3}{4}, \frac{4}{3}, \frac{6}{8}\right)$
View full solution →If $₹ 40$ is divided between Ram and Shyam in the ratio $5:3,$ then Shyam gets$………… (20, 25, 15)$
View full solution →The weight of $72$ books is $9\ kg.$ What is the weight of $40$ such books$?$
View full solution →The cost of $4$ dozen bananas is $₹ 180.$ How many bananas can be purchased for $₹ 90?$
View full solution →Shaina pays $₹ 15,000$ as rent for $3$ months. How much does she have to pay for a whole year, if the rent per month remains the same?
View full solution →The temperature dropped $15$ degree in the last $30$ days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days$?$
View full solution →If it has rained $276\ mm$ in the last $3$ days, how many cm of rain will fall in one full week $(7$ days$)?$ Assume that the rain continues to fall at the same rate.
View full solution →A truck requires $108$ litres of diesel for covering a distance of $594\ km.$ How much diesel will be required by the truck to cover a distance of $1650 \ km$?
View full solution →Cost of $5 \ kg$ of wheat is $₹ 91.50$. What quantity of wheat can be purchased in $₹ 183$?
View full solution →Cost of $5 \ kg$ of wheat is $₹ 91.50$. What will be the cost of $8 \ kg$ of wheat?
View full solution →Anish made $42$ runs in $6$ overs and Anup made $63$ runs in $7$ overs. Who made more runs per over?
View full solution →Raju purchases $10$ pens for $₹150$ and Manish buys $7$ pens $₹ 84$. Can you say who got the pens cheaper?
View full solution →Fill in the following blanks: $\frac{15}{18}=\frac{\square}{6}=\frac{10}{\square}=\frac{\square}{30}$ [Are these equivalent ratios?]
View full solution →See the figure and find the ratio of number of circles to all the figures inside the rectangle.

View full solution →
See the figure and find the ratio of number of squares to all the figures inside the rectangle.

View full solution →See the figure and find the ratio of number of triangles to the number of circles inside the rectangle.

View full solution →Out of $30$ students in a class, $6$ like football, $12$ like cricket and remaining like tennis. Find the ratio of number of students liking cricket to total number of students.
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