CAT Logical Reasoning Questions
At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were
split into two groups of three each: Elite led by Manager Kuku, and Novice led by
Manager Lalu.
At the end of each quarter, Kuku and Lalu handed out ratings to all members in
their respective groups. In each group, each employee received a distinct integer
rating from 1 to 3.
The score for an employee at the end of a quarter is defined as their cumulative
rating from the beginning of the year. At the end of each quarter the employee in
Novice with the highest score was promoted to Elite, and the employee in Elite with
the minimum score was demoted to Novice. If there was a tie in scores, the
employee with a higher rating in the latest quarter was ranked higher.
1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them
were in Novice at the beginning of Quarter 4.
2. Dolly and Falguni were the only employees who got the same rating across all
the quarters.
3. The following is known about ratings given by Lalu:
• Bunty received a rating of 1 in Quarter 2.
• Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.
What was Eklavya’s score at the end of Quarter 2?
How many employees changed groups more than once up to the
beginning of Quarter 4?
What was Bunty’s score at the end of Quarter 3?
For how many employees can the scores at the end of Quarter 3 be
determined with certainty?
Which of the following statements is/are NECESSARILY true?
I. Asha received a rating of 2 in Quarter 1.
II. Asha received a rating of 1 in Quarter 2.
Five countries engage in trade with each other. Each country levies import tariffs on
the other countries. The import tariff levied by Country X on Country Y is calculated by
multiplying the corresponding tariff percentage with the total imports of Country X
from Country Y.
The radar chart below depicts different import tariff percentages charged by each of
the five countries on the others. For example, US (the blue line in the chart) charges
20%, 40%, 30%, and 30% import tariff percentages on imports from France, India,
Japan, and UK, respectively. The bar chart depicts the import tariffs levied by each
county on other countries. For example, US charged import tariff of 3 billion USD on
UK.
Assume that imports from one country to another equals the exports from the latter
to the former.
The trade surplus of Country X with Country Y is defined as follows.
Trade surplus = Exports from Country X to Country Y – Imports to Country X from
Country Y.
A negative trade surplus is called trade deficit.
How much is Japan's export to India worth?
Which among the following is the highest?
What is the trade surplus/trade deficit of India with UK?
Among France and UK, who has/have trade surplus(es) with US?
A train travels from Station A to Station E, passing through stations B, C, and D, in that
order. The train has a seating capacity of 200. A ticket may be booked from any
station to any other station ahead on the route, but not to any earlier station.
A ticket from one station to another reserves one seat on every intermediate segment
of the route. For example, a ticket from B to E reserves a seat in the intermediate
segments B – C, C – D, and D – E.
The occupancy factor for a segment is the total number of seats reserved in the
segment as a percentage of the seating capacity. The total number of seats reserved
for any segment cannot exceed 200.
The following information is known.
1. Segment C – D had an occupancy factor of 95%. Only segment B – C had a higher
occupancy factor.
2. Exactly 40 tickets were booked from B to C and 30 tickets were booked from B to E.
3. Among the seats reserved on segment D – E, exactly four-sevenths were from
stations before C.
4. The number of tickets booked from A to C was equal to that booked from A to E,
and it was higher than that from B to E.
5. No tickets were booked from A to B, from B to D and from D to E.
6. The number of tickets booked for any segment was a multiple of 10.
What was the occupancy factor for segment D – E?
How many tickets were booked from Station A to Station E?
How many tickets were booked from Station C?
What is the difference between the number of tickets booked to Station
C and the number of tickets booked to Station D?
How many tickets were booked to travel in exactly one segment?
Alia, Badal, Clive, Dilshan, and Ehsaan played a game in which each asks a unique
question to all the others and they respond by tapping their feet, either once or
twice or thrice. One tap means “Yes”, two taps mean “No”, and three taps mean
“Maybe”.
A total of 40 taps were heard across the five questions. Each question received at
least one “Yes”, one “No”, and one “Maybe.”
The following information is known.
1. Alia tapped a total of 6 times and received 9 taps to her question. She responded
“Yes” to the questions asked by both Clive and Dilshan.
2. Dilshan and Ehsaan tapped a total of 11 and 9 times respectively. Dilshan
responded “No” to Badal.
3. Badal, Dilshan, and Ehsaan received equal number of taps to their respective
questions.
4. No one responded “Yes” more than twice.
5. No one’s answer to Alia’s question matched the answer that Alia gave to that
person’s question. This was also true for Ehsaan.
6. Clive tapped more times in total than Badal.
How many taps did Clive receive for his question?
Which two people tapped an equal number of times in total?
What was Clive’s response to Ehsaan’s question?
How many “Yes” responses were received across all the questions?
A round table has seven chairs around it. The chairs are numbered 1 through 7 in a
clockwise direction. Four friends, Aslam, Bashir, Chhavi, and Davies, sit on four of
the chairs. In the starting position, Aslam and Chhavi are sitting next to each other,
while for Bashir as well as Davies, there are empty chairs on either side of the
chairs that are sitting on.
The friends take turns moving either clockwise or counterclockwise from their
chair. The friend who has to move in a turn occupies the first empty chair in
whichever direction (s)he chooses to move. Aslam moves first (Turn 1), followed by
Bashir, Chhavi, and Davies (Turns 2, 3, and 4, respectively). Then Aslam moves
again followed by Bashir, and Chhavi (Turns 5, 6, and 7, respectively).
The following information is known.
1. The four friends occupy adjacent chairs only at the end of Turn 2 and Turn 6.
2. Davies occupies Chair 2 after Turn 1 and Chair 4 after Turn 5, and Chhavi
occupies Chair 7 after Turn 2.
What is the number of the chair initially occupied by Bashir?
Who sits on the chair numbered 4 at the end of Turn 3?
Which of the chairs are occupied at the end of Turn 6?