Multiple choice

Directions: In the given question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine the relationship between the two quantities and choose the appropriate option. The present age of Anshu is 8 years more than the present age of Ankit. Ten years ago, the ratio of the ages of Anshu and Ankit was 2 : 1. The present age of Ankita is equal to the average of the present ages of Anshu and Ankit. Quantity 1: Anshu's age after 5 years Quantity 2: Ankita's age after 8 years

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 2 > Quantity 1

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Ankit's age be x, so Anshu's is x+8. Ten years ago, (x-2)/(x-10) = 2/1, which gives x-2 = 2x-20, so x=18. Ankit is 18, Anshu is 26. Ankita's age is (18+26)/2 = 22. Quantity 1: 26+5 = 31. Quantity 2: 22+8 = 30. Thus, 31 > 30.

AI explanation

Let Ankit's present age be x, making Anshu's age x plus 8. Ten years ago the ratio was 2 to 1, giving the equation x minus 2 divided by x plus 6 equals 2, which solves to x equals 14. This makes Anshu 22 and Ankita 18. Quantity 1 is Anshu's age after 5 years, which is 27, and Quantity 2 is Ankita's age after 8 years, which is 26. Quantity 1 is greater than Quantity 2.

Keep practicing — related questions