Quantitative Aptitude

Ratio and Proportion

775 Questions
All Dividing a total in a given ratio 393 Income, expenditure, and equal-savings equations 117 Ratio changes with constant sum/difference 89 Combining ratios 72 Finding a missing term in a proportion 54 Direct, inverse, and power variation 29 Mean proportional 9 Compound, duplicate, and root ratios 8 Componendo and dividendo 2

Ratio and Proportion Questions

Multiple choice

In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 Units, what would be the loss in Rupees for a deviation of 4 units from the target?

  1. 400

  2. 1200

  3. 1600

  4. 2800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The loss L is proportional to the square of the deviation d, so L = k * d^2. Given 4900 = k * 7^2, we find k = 4900 / 49 = 100. For a deviation of 4, the loss is 100 * 4^2 = 100 * 16 = 1600.

Multiple choice

Directions: In the question below use given statements A B and C to solve. Than mark which of the following statements is/are sufficient/necessary to solve question. What is the cost of 3 chairs, 4 tables and 5 benches? A. The ratio of the cost of a chair and table is 3 : 8. B. The ratio of the cost of a bench and a table is 5 : 3. C. The cost of one chair and two tables is Rs 6000.

  1. A or B or C

  2. A and B or C

  3. A or B and C

  4. A and B and C

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We have three variables: C (chair), T (table), B (bench). We need to find 3C + 4T + 5B. Statement A gives C/T = 3/8. Statement B gives B/T = 5/3. Statement C gives C + 2T = 6000. With A and B, we can express C and B in terms of T. With C, we can solve for T, then find C and B. All three are necessary.

Multiple choice

Which of the following ratios do not form a proportion?

  1. 25 cm : 1 m and Rs. 40 : Rs. 160

  2. 40 litres : 200 litres and 15 bottles : 75 bottles

  3. 20 kg : 80 kg and 25 kg : 625 kg

  4. 200 ml : 25 litres and Rs. 4 : Rs. 500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A proportion exists if the two ratios are equal. In option C, 20:80 simplifies to 1:4, while 25:625 simplifies to 1:25; since 1/4 is not equal to 1/25, these do not form a proportion.

Multiple choice

How can Rs. 1000 be divided between two partners in the ratio 3: 2?

  1. The Ist partner gets Rs. 500 and the IInd partner gets Rs. 500

  2. The Ist partner gets Rs. 400 and the IInd partner gets Rs. 600

  3. The Ist partner gets Rs. 700 and the IInd partner gets Rs. 300.

  4. The Ist partner gets Rs. 600 and the IInd partner gets Rs. 400
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total parts = 3 + 2 = 5. Value of one part = 1000 / 5 = 200. First partner = 3 * 200 = 600. Second partner = 2 * 200 = 400.

Multiple choice

Ashok purchased pens and pencils in the ratio 2 : 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 : 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 __________.

  1. 90

  2. 100

  3. 85

  4. 75
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

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?

  1. 50

  2. 220

  3. 440

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the number of 1-rupee, 50-paisa, and 25-paisa coins be x, 8x, and 16x respectively. The total value is x + 0.5(8x) + 0.25(16x) = 9x = 495, which gives x = 55. Thus, the number of 50-paisa coins is 8 * 55 = 440.