Multiple choice

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (Only quantity is to be considered) Quantity 1- A vessel is filled with liquid, 4 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? Quantity 2- An alloy contains Brass, Iron and Zinc in the ratio 2:3:1 and another contains Iron, zinc and lead in the ratio 5:4:3.If equal weights of both alloys are melted together to form a third alloy, then what will be the part of lead per kg in new alloy?

  1. Quantity 1 > Quantity 2

  2. Quantity 1 < Quantity 2

  3. Quantity 1 ≥ Quantity 2

  4. Quantity 1 ≤ Quantity 2

  5. Quantity 1 = Quantity 2 or Relation can’t be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity 1: 4 parts water, 5 parts syrup (total 9). To make 1:1 ratio, remove some syrup and replace with water. Let x be fraction removed. New water = 4/9(1-x) + x, new syrup = 5/9(1-x). Set equal: 4/9 + 5x/9 = 5/9(1-x). Solving gives x = 1/9. Quantity 2: Alloy 1 (2:3:1), Alloy 2 (5:4:3). Combined alloy lead fraction = 3/19. 1/9 < 3/19, so Quantity 1 < Quantity 2.

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