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 pipe can empty a tank in 40 min. A second pipe with diameter twice much as that of the first is also attached with the tank to empty it. The two pipes together can empty the tank in how much minutes? Quantity 2- An amount will become 8 times of itself in 3 years with compound interest. Then in how much time it will become 16 times of itself?

  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
A Correct answer
Explanation

Quantity 1: First pipe empties in 40 min. Second pipe has twice diameter = 4x flow rate (flow proportional to diameter squared). Combined rate: 1/40 + 4/40 = 5/40, so time = 40/5 = 8 minutes. Quantity 2: Amount becomes 8x in 3 years means (1+r)^3 = 8, so 1+r = 2. For 16x: (1+r)^t = 16, so 2^t = 16, thus t = 4 years. 8 > 4, so Quantity 1 > Quantity 2.

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