CAT 2021 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 10

CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 10 : Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are ₹ 806.25 and ₹ 866.72, respectively, the interest accrued, in INR, during the fourth year is nearest to

  1. 931.72
  2. 926.84
  3. 929.48
  4. 934.65

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Explanatory Answer

Year - 1
Year - 2
Year - 3
principle(p)
p
p(1 + x)
p(1 + x)2
interest
px
px (1 + x)
px (1 + x)2
amount
p(1 + x)
p(1 + x)2
p(1 + x)3
Here x is the rate of interest.
If you observe, the interest is in geometric progression(G.P).
In G.P, the common ratio =\\frac{866.72}{806.25}).
The interest in the fourth year = 866.72 x \\frac{866.72}{806.25}) 

≅931.72


The answer is '931.72'

Choice A is the correct answer.

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