Ratio, Proportion & Variation - Previous Year IPM/BBA Questions

The best way to prepare for Ratio, Proportion & Variation is by going through the previous year Ratio, Proportion & Variation questions for IPMAT - Indore. Here we bring you all previous year Ratio, Proportion & Variation IPMAT - Indore questions along with detailed solutions.

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1. IPMAT (I) 2023 QASA | Ratio, Proportion & Variation IPMAT - Indore Question

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

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2. IPMAT (I) 2023 QA MCQ | Ratio, Proportion & Variation IPMAT - Indore Question

If $\frac{a + b}{b + c} = \frac{c + d}{d + a}$ , which of the following is always true?

(a)
a = c
(b)
a = c, and b = d
(c)
a = c, or a + b + c + d = 0
(d)
a + b + c + d = 0

3. IPMAT (I) 2020 QA MCQ | Ratio, Proportion & Variation IPMAT - Indore Question

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

(a)
2 months
(b)
3 months
(c)
4 months
(d)
6 months

Answer: Option C

Text Explanation :

Let Ashok's investment be Rs. 2x, hence Bharat's investment is Rs. x.
Ashok invested for 12 months whereas Bharat invested for say m months.

⇒ $\frac{Profit of Ashok}{Profit of Bharat}$ = $\frac{Investment of Ashok \times Time of Ashok}{Investment of Bharat \times Time of Bharat}$

⇒ $\frac{3}{1}$ = $\frac{2 x \times 12}{x \times m}$

⇒ 3m = 24

⇒ m = 8

∴ If Bharat invested for 8 months it means he invested after 12 - 8 = 4 months of Ashok.

Hence, option (c).

4. IPMAT (I) 2019 QASA | Ratio, Proportion & Variation IPMAT - Indore Question

Three friends divided some apples in the ratio 3 : 5 : 7 among themselves. After consuming 16 apples they found that the remaining number of apples with them was equal to largest number of apples received by one of them at the beginning. Total number of apples these friends initially had was

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Ratio, Proportion & Variation - Previous Year IPM/BBA Questions

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