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Ratio, Proportion & Variation - Past Year Questions

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Q1:

A fruit seller has oranges, apples, and bananas in the ratio 3:6:73:6:7. If the number of oranges is a multiple of both 5 and 6, then the minimum number of fruits the seller has is:
160
Correct Answer
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Q2:

(a+b)(b+c)=(c+d)(d+a)\dfrac{(a + b)}{(b + c)} = \dfrac{(c + d)}{(d + a)} which of the following statements is always true?
Answer options
Option: 2
Correct Answer
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Q3:

Let a,b,c,da, b, c, d be positive integers such that a+b+c+d=2023a + b + c + d = 2023. If a:b=2:5a: b = 2:5 and c:d=5:2c:d=5:2, then the maximum possible value of a+ca + c is
1442
Correct Answer
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Q4:

The cost of a piece of jewellery is proportional to the square of its weight. A piece of jewellery weighing 10 grams is INR 3600. The cost of a piece of jewellery of the same kind weighing 4 grams is
Answer options
Option: 3
Correct Answer
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Q5:

The highest possible value of the ratio of a four-digit number and the sum of its four digits is
Answer options
Option: 1
Correct Answer
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Q6:

Ashok started a business with a certain investment. After a few months, Bharat joined him investing half the amount of Ashok's initial investment. At the end of the first year, the total profit was divided between them in the ratio 3:13:1. Bharat joined Ashok after
Answer options
Option: 3
Correct Answer
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Q7:

Ashok purchased pens and pencils in the ratio 2:32:3 during his first visit and paid Rs. 86 to the shopkeeper. During his second visit, he purchased pens and pencils in the ratio 4:14:1 and paid Rs. 112. The cost of a pen as well as a pencil in rupees is a positive integer. If Ashok purchased four pens during his second visit, then the amount he paid in rupees for the pens during the second visit is __________.
100
Correct Answer
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Q8:

In a given village there are only three sizes of families: families with 2 members, families with 4 members and families with 6 members. The proportion of families with 2, 4 and 6 members are roughly equal. A poll is conducted in this village wherein a person is chosen at random and asked about his/her family size. The average family size computed by sampling 1000 such persons from the village would be closest to
Answer options
Option: 2
Correct Answer
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Q9:

Three friends divided some apples in the ratio 3:5:73 : 5 : 7. After consuming 16 apples they found that the remaining number of apples with them was equal to the largest number of apples received by one of them at the beginning. The total number of apples these friends initially had was
30
Correct Answer
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Q10:

Given below are two statements :
Given that a:b=5:3a: b=5: 3 and b:c=2:5b: c=2: 5, then ( c−ac-a ) will be equal to
Statement I: 10(a+c)10(a+c) \newline Statement II: 10a+25b10 a+25 b
In the light of the above statements, choose the correct answer from the options given below :
Answer options
Option: 2
Correct Answer
Explanation →

Q11:

Sonali buys 2 Pen Drives A and B, and their cost price is in the ratio of 5:6 respectively. If she sells them at a 10% profit each, she earns a total profit of ₹22. What will be her total profit, if she sells Pen Drive A at a 20% loss and Pen Drive B at a 30% profit?

Answer options
Option: 1
Correct Answer
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Q12:

P, Q, and R invested Rs. 25,000, Rs. 50,000, and Rs. 25,000 respectively to start a business. At the end of two years, they earned a profit of Rs. 48,000. What will be Q's share?
Answer options
Option: 1
Correct Answer
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Q13:

The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages (in years) of the son and the father are, respectively
Answer options
Option: 1
Correct Answer
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Q14:

Three years ago, the ratio of ages of Amisha and Namisha was 8:9. Three years from now the ratio will become 11:12. What is the present age of Amisha?
Answer options
Option: 3
Correct Answer
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Q15:

Harish divides two sums of money among his four sons Naresh, Vipin, Bhupesh, and Yogesh. The first sum is divided in the ratio 4:3:2:14:3:2:1 and second in the ratio 5:6:7:85:6:7:8. If the second sum is twice the first, then the largest total is received by
Answer options
Option: 2
Correct Answer
Explanation →

Q16:

A is working, and B a sleeping partner in a business. A puts in Rs.12000 and B Rs. 20000. A receives 10% of the profit for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs. 9600, the money received by A will be
Answer options
Option: 3
Correct Answer
Explanation →

Q17:

Fruits were purchased for Rs 350. 9 boys ate 35\frac{3}{5} of them in 2 hours. 6 boys feel their stomach as full so do not eat further. In how many hours the remaining fruits will get finished by remaining boys?
Answer options
Option: 4
Correct Answer
Explanation →

Q18:

Given ratios are a:b=2:3,b:c=5:2,c:d=1:4a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4. Find a:b:ca : b : c.
Answer options
Option: 3
Correct Answer
Explanation →

Q19:

If there are Rs 495 in a bag in denominations of one-rupee, 50 paisa and 25 paisa coins, which are in the ratio 1 : 8 : 16. How many 50 paisa coins are there in the bag?
Answer options
Option: 3
Correct Answer
Explanation →

Q20:

Raj invested Rs 76000 in a business. After few months Monty joined him and invests Rs 57000. At the end of the year, both of them share the profits at the ratio of 2:1. After how many months Monty joined Raj?
Answer options
Option: 1
Correct Answer
Explanation →

Ratio, Proportion & Variation - Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of Ratio, Proportion & Variation Past Year Questions (PYQs of IPMAT Indore, IPMAT Rohtak & JIPMAT) with detailed solutions. These questions are carefully curated from previous year papers to help you understand the exam pattern and improve your preparation.

Our free resources include handwritten solutions for all questions, making it easier to understand the concepts and approach. Use these PYQs to assess your preparation level and identify areas that need more focus. No login required. Compilation of IPMAT Indore, IPMAT Rohtak & JIPMAT Questions!