Section-1

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.

14

Total number of Split Inverter ACs sold by D2 = 14

2

Total number of ACs sold = 60; Total number of
Non-inverter ACs sold = 15

Hence, required percentage = 15/60 x 100 = 25%.

33

Total number of ACs sold by D2 and D4
= 60 – (15 + 12) = 33.

1

D1 and D3 together sold 27 ACs whereas D2 and
D4 sold 33 ACs. Hence, option (1) is necessarily
false.

All the other statements are not necessarily false.

Hence, the correct answer is option (1).

1

If D3 and D4 sold equal number of ACs, then the
total number of ACs sold by D2
= 60 – (15 + 12 + 12) = 21.

Total number of Non-inverter ACs sold by D2
= 21 – 16 = 5.

1. In every month, both online and offline registration numbers were multiples of 10.

2. In January, the number of offline registrations was twice that of online registrations.

3. In April, the number of online registrations was twice that of offline registrations.

4. The number of online registrations in March was the same as the number of offline registrations in February.

5. The number of online registrations was the largest in May.

120

Total number of registrations in April = 120

40

Online registrations in January = 40

I. The number of offline registrations was the smallest in May.

II. The total number of registrations was the smallest in February.

4

The number of offline registrations in May was the
smallest, is true.

Total number of registrations in February was the
smallest, is false.

Hence, only statement I is true.

1

We can see from the table that the number of offline
registrations in February was 50.

I. January and April

II. February and May

3

It can be observed that January and April had 120
total registrations each and February and May had
130 total registrations each. Hence, both I and II
are correct.

patrol these streets continuously between 09:00 hrs. and 12:00 hrs. each day.

The teams need 30 minutes to cross a street connecting one police station to another. All four teams start from Station A at 09:00 hrs. and must return to Station A by 12:00 hrs. They can also pass via Station A at any point on their journeys.

The following facts are known.

1. None of the streets has more than one team traveling along it in any direction at any point in time.

2. Teams 2 and 3 are the only ones in stations E and D respectively at 10:00 hrs.

3. Teams 1 and 3 are the only ones in station E at 10:30 hrs.

4. Teams 1 and 4 are the only ones in stations B and E respectively at 11:30 hrs.

5. Team 1 and Team 4 are the only teams that patrol the street connecting stations A and E.

6. Team 4 never passes through Stations B, D or F.

2

From the table we can see that station D was visited
twice, stations C and F were visited thrice and
station E was visited either 5 or 6 times. Hence,
station E was visited the maximum number of
times.

2

The number of times the teams pass through station
B = 2.

3

The team that is on route D-E at 10:15 is Team 3.

2

Team 4 passes through station E twice.

1

The number of teams that pass through station C
= 2.

The projects are done in groups of two, with each group consisting of a female and a male student. Both the group members obtain the same score in the project.

The following additional facts are known about the scores in the project and the test.

1. The minimum, maximum and the average of both project and test scores were identical – 40, 80 and 60, respectively.

2. The test scores of the students were all multiples of 10; four of them were distinct and the remaining two were equal to the average test scores.

3. Amala’s score in the project was double that of Koli in the same, but Koli scored 20 more than Amala in the test. Yet Amala had the highest aggregate score.

4. Shyamal scored the second highest in the test. He scored two more than Koli, but two less than Amala in the aggregate.

5. Biman scored the second lowest in the test and the lowest in the aggregate.

6. Mathew scored more than Rini in the project, but less than her in the test.

60

Rini’s project score = 60.

1

Weight given to test scores = 0.6.

1

Maximum aggregate was for Amala and it was 68.

40

Mathew’s test score = 40.

(i) Amala and Biman

(ii) Koli and Mathew

2

The teams were (A, M), K, B) and (R, S).

Hence, neither (i) nor (ii) is correct.