CAT CET SNAP NMAT CMAT XAT

Matrix Based DILR CAT2023 Slot 3

An air conditioner (AC) company has four dealers – D1, D2, D3 and D4 in a city. It is
evaluating sales performances of these dealers. The company sells two variants of ACs –
Window and Split. Both these variants can be either Inverter type or Non-inverter type. It is
known that of the total number of ACs sold in the city, 25% were of Window variant, while
the rest were of Split variant. Among the Inverter ACs sold, 20% were of Window variant.
The following information is also known:

  1. Every dealer sold at least two window ACs.
  2. D1 sold 13 inverter ACs, while D3 sold 5 Non-inverter ACs.
  3. A total of six Window Non-inverter ACs and 36 Split Inverter ACs were sold in the city.
  4. The number of Split ACs sold by D1 was twice the number of Window ACs sold by it.
  5. D3 and D4 sold an equal number of Window ACs and this number was one-third of the
    number of similar ACs sold by D2.
  6. D2 and D3 were the only ones who sold Window Non-inverter ACs. The number of
    these ACs sold by D2 was twice the number of these ACs sold by D3.
  7. D3 and D4 sold an equal number of Split Inverter ACs. This number was half the
    number of similar ACs sold by D2

Sub Question No : 11
Q.11 How many Split Inverter ACs did D2 sell?

Details

Possible Answer: 14

SubQuestion No : 12
Q.12 What percentage of ACs sold were of Non-inverter type?
Ans 1. 20.00%

  1. 75.00%
  2. 33.33%
  3. 25.00%
Details

4

Sub Question No : 13
Q.13 What was the total number of ACs sold by D2 and D4?

Details

Possible Answer: 33

SubQuestion No : 14
Q.14 Which of the following statements is necessarily false?
Ans 1. D1 and D3 together sold more ACs as compared to D2 and D4 together.

  1. D2 sold the highest number of ACs.
  2. D1 and D3 sold an equal number of Split ACs.
  3. D4 sold more Split ACs as compared to D3.
Details

1

Sub Question No : 15
Q.15 If D3 and D4 sold an equal number of ACs, then what was the number of Non-inverter
ACs sold by D2?
Ans 1. 7

  1. 4
  2. 5
  3. 6
Details

3

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