Question types

Ratio And Proportion question types

349 questions across 7 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

349
Questions
7
Question groups
5
Question types
Sample Questions

Ratio 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.

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$A, B, C$ 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.

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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.

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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.

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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.

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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.

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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.

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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$?$
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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.
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Q 263 Marks Question3 Marks
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 $1650 \ km$?
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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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