PYQ Vault

Evaluate a finite continued fraction from the bottom up

This type of question, asked 2 times: CDS 2 2016, CDS 1 2024. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2016

    100
    If x+11+12+13=2x + \cfrac{1}{1 + \cfrac{1}{2 + \cfrac{1}{3}}} = 2, then what is xx equal to ?

    Tap an option to check your answer.

  2. Question 2

    CDS 1 2024

    30
    If x=12+34+56+78+910x = \cfrac{1}{2 + \cfrac{3}{4 + \cfrac{5}{6 + \cfrac{7}{8 + \cfrac{9}{10}}}}}, then which one of the following is correct ?

    Tap an option to check your answer.