CAT 2018 Slot 2 DILR Set 8 Q29–Q32

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2018 Slot 2, with 4 questions (Quant-based Puzzles). Answers are CAT's official key.

The set

The base exchange rate of a currency X with respect to a currency Y is the number of units of currency Y which is equivalent in value to one unit of currency X. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell currency at selling exchange rates that are higher than base exchange rates.


A currency exchange outlet uses the local currency L to buy and sell three international currencies A, B, and C, but does not exchange one international currency directly with another. The base exchange rates of A, B and C with respect to L are in the ratio 100:120:1. The buying exchange rates of each of A, B, and C with respect to L are 5% below the corresponding base exchange rates, and their selling exchange rates are 10% above their corresponding base exchange rates.

The following facts are known about the outlet on a particular day:
1. The amount of L used by the outlet to buy C equals the amount of L it received by selling C.
2. The amounts of L used by the outlet to buy A and B are in the ratio 5:3.
3. The amounts of L the outlet received from the sales of A and B are in the ratio 5:9.
4. The outlet received 88000 units of L by selling A during the day.
5. The outlet started the day with some amount of L, 2500 units of A, 4800 units of B, and 48000 units of C.
6. The outlet ended the day with some amount of L, 3300 units of A, 4800 units of B,and 51000 units of C.

Question 29

How many units of currency A did the outlet buy on that day? [TITA]

TITA: type in the answer. There are no options and no negative marking.

Answer: 1200 Quant-based Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 30

How many units of currency C did the outlet sell on that day?
  1. A
    3000
  2. B
    22000
  3. C
    6000
  4. D
    19000

Answer: (D) 19000 Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 31

What was the base exchange rate of currency B with respect to currency L on that day? [TITA]

TITA: type in the answer. There are no options and no negative marking.

Answer: 240 Quant-based Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 32

What was the buying exchange rate of currency C with respect to currency L on that day?
  1. A
    1.10
  2. B
    0.95
  3. C
    2.20
  4. D
    1.90

Answer: (D) 1.90 Quant-based Puzzles MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Same concept in other years

See every question on Currency exchange rates and conversions.

More Quant-based Puzzles questions from CAT

All 127 Quant-based Puzzles questions asked since 2017.