Multiple choice

Quantity I: What is the sum of ages of Minu and Mohan, if the difference between their ages is 4 years and the ratio between their ages is 5: 6? Quantity II: The ratio between the present ages of Raj and Kamal is 16: 17 respectively. After 8 years, Raj's age will be 40 years. What was Kamal's age 4 years ago?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
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A Correct answer
Explanation

Quantity I: Diff = 4, Ratio 5:6. Let ages be 5x, 6x. 6x - 5x = 4, x = 4. Ages are 20, 24. Sum = 44. Quantity II: Raj/Kamal = 16/17. Raj + 8 = 40, so Raj = 32. 16x = 32, x = 2. Kamal = 17 * 2 = 34. 4 years ago, Kamal = 30. 44 > 30.

AI explanation

For Quantity I, let the ages of Minu and Mohan be 5x and 6x. The difference 6x - 5x equals 4 years, so x = 4 and their total age is 11 * 4 = 44 years. For Quantity II, Raj's present age is 16x, so 16x + 8 = 40, which gives x = 2 and makes Kamal's present age 34. Kamal's age 4 years ago was 30, which means Quantity I is greater than Quantity II.

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