NIMCET 2027 Ratio And Proportion Previous Year Questions (PYQs) – Page 1 of 2
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Showing 15 questions
If 3/4 of a number is equal to 2/3 of another number, what is the ratio between these two numbers?
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Solution
(3/4)A = (2/3)B
Cross-multiply: 9A = 8B
So A : B = 8 : 9
The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 ∶ 5 ∶ 7. The total number of students before the increase were
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Solution
An elevator has a capacity of 12 adults or 20 children. How many adults can board the elevator with 15 children?
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Solution
Capacity ratio:
12 adults = 20 children
1 adult = $\dfrac{20}{12} = \dfrac{5}{3}$ children
Let number of adults = $x$
Children used = $15$
Equivalent adult load:
$15$ children = $\dfrac{15}{20} \times 12 = 9$ adults capacity used
Remaining adult capacity = $12 - 9 = 3$
A total of 324 notes comprising of Rs. 20 and Rs. 50
denominations make a sum of Rs. 12450. The
number of Rs. 20 notes is
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Solution
A total of 324 notes comprising of Rs. 20 and Rs. 50 denominations make a sum of Rs. 12450.
The number of Rs. 20 notes is
A sum of money distributed among four persons P, Q, R, S in the proportion 2:5:4:3. if Q gets Rs. 2000 more than S, then what will be the total amount?
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Solution
Mr. X left his entire estate to his wife, his daughter, his son and the cook. His daughter and son got half the estate, sharing in the ratio of 4 to 3. His wife got twice as much as the son. If the cook received a bequest of 500, then the entire estate was
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Solution
Let total estate = E.
Daughter : Son = 4 : 3 and together they get half the estate.
So 4k + 3k = E/2 ⇒ 7k = E/2 ⇒ k = E/14
Daughter = 4k = 4E/14 = 2E/7
Son = 3k = 3E/14
Wife gets twice the son’s share = 2 × (3E/14) = 3E/7
Amount to cook = E – (2E/7 + 3E/14 + 3E/7) = E/14
Given cook got 500 ⇒ E/14 = 500 ⇒ E = 7000
A car is filled with 4½ liters of fuel for a round trip.
If the amount of fuel taken while going is 1/4th more than the amount taken for coming, what is the amount of fuel consumed while coming back?
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Solution
Let fuel used while coming back = x
Fuel used while going = x + (1/4)x = 5x/4
Total fuel = x + 5x/4 = 9x/4
Given total fuel = 4.5
So 9x/4 = 4.5
x = 2
But 2 is already used for going + coming condition mismatch
So correct answer is not listed.
In a city 40% of the adults are illiterate while 85% of the children are literate If the ratio of the adults to that of the children is 2:3 then what percent of the population is literate?
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Solution
Let the number of adults and children be 2x and 3x
Literate population = 60% of 2x + 85% of 3x =
Required % = 100% = 75 %
Literate population = 60% of 2x + 85% of 3x =
Required % = 100% = 75 %
Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
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Solution
The weight of non-water in 20 kg of fresh grapes (which is 100-90=10% of whole weight) will be the same as the weight of non-water in x kg of dried grapes (which is 100-20=80% of whole weight), so
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Of the three numbers, second is twice the first and is also thrice the third.
If the average of three numbers is 44, the largest number is
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Solution
Let first number = x
Second = 2x, third = 2x/3
Average = 44 ⇒ x + 2x + 2x/3 = 132 ⇒ x = 36
Numbers are 36, 72, 24
Largest = 72
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