List of top Questions asked in CAT

The lengths of the sides of a right-angled triangle are in geometric progression. What is the ratio of the sines of its acute angles?
There are 24 Rosagollas and 36 Kulfis in a box. Anil eats only Rosagollas at $x$ per minute, Anand eats only Kulfis at $y$ per minute, and Abhilash eats $2x$ Rosagollas and $3y$ Kulfis per minute. After two minutes, the number of Rosagollas and Kulfis left is equal. Find the ratio of Kulfis that Abhilash eats per minute to Rosagollas that Anil eats per minute.
Each of A, B, and C had some marbles. B distributed half the marbles with him among A and C in the ratio 1:3. Then C distributed half the marbles with him among A and B in the ratio 1:3. After that, A distributed half the marbles with him among B and C in the ratio 1:3. If each of them now has 64 marbles, find the difference between the number of marbles with A and C in the beginning.
If $f_{1}(x) = \frac{2}{2+x}$ and $f_{n}(x) = \frac{1}{1+f_{n-1}(x)}$, where $n>1$, then find the approximate value of $f_{50}(1)$.

A bar chart shows production (in units) for 3 machines: 

MonthM1M2M3
Jan200150100
Feb250200150


What is the total production in February? 
 

A company has 3 teams (X, Y, Z) with tasks completed: 

TeamTasks
X40
Y50
Z60


If each task takes 2 hours, what is the total time taken by Team Y? 
 

A line graph shows temperatures (in °C) over 5 days: 

DayTemperature
Mon20
Tue22
Wed25
Thu24
Fri23


What is the average temperature? 
 

A data set shows the number of books read by 4 students: 

StudentBooks
A5
B8
C12
D15


What is the average number of books read? 
 

A company’s sales data for 3 products (A, B, C) over 2 quarters is: 

QuarterABC
Q1100150200
Q2120180160


What is the percentage increase in sales of product A from Q1 to Q2? 
 

A bar chart shows sales (in Rs. thousand) for 4 products over 3 years: 

YearP1P2P3P4
201150403020
201260504030
201370605040


What is the total sales for P3 across all years? 
 

A table shows the number of cars sold by three dealers A, B, and C over 3 months: 

MonthABC
Jan203025
Feb253520
Mar302530


What is the total number of cars sold by dealer B? 
 

In a survey, 70% of 100 people like Product X, and 60% like Product Y. If 50% like both, how many like only Product X?
Using the same production chart, which machine had the highest production increase from Jan to Feb?
In a logical reasoning set, three statements:
- If A is true, then B is false.
- If B is true, then C is true.
- C is false.
Is A true or false?
A data set shows marks of 5 students: 70, 85, 90, 65, 80. What is the range of marks?
Using the same logic puzzle, who is the Doctor?
In a logic puzzle, 4 people (A, B, C, D) have professions (Doctor, Lawyer, Engineer, Teacher). A is not the Doctor. B is the Lawyer. The Teacher is not C. Who is the Engineer?
Using the same temperature data, which day had the highest temperature?
In a logical reasoning set, three people (P, Q, R) speak:
- P: I am not the tallest.
- Q: R is taller than P.
- R: Q is the tallest.
Who is the tallest?
In a group of 5 people, each shakes hands with every other person exactly once. How many handshakes occur?
Using the same book data, what is the median number of books read?
Using the same sales data, which product had the lowest sales in Q2?
In a logic puzzle, 4 houses are numbered 1 to 4. Each has a unique color (Red, Blue, Green, Yellow) and a unique pet (Cat, Dog, Bird, Fish). House 1 is Red. The Cat is in House 3. The Dog is not in House 4. Which house has the Dog?
Using the same logic puzzle, which color is in House 3?
Using the same pie chart, what is the combined expense for Rent and Transport?