# CAT Exam 2023- Complete Syllabus & Mock Test

 Pattern Q MCQs* Non-MCQs** VARC 24 19 5 DILR 20 16 4 QA 22 16 6 Total 66 51 15

### CAT Exam Section Topics

1. Verbal Ability & Reading Comprehension (VARC):- Para jumbles, Para summary, Inferences Passages and Passage
2. Data Interpretation & Logical Reasoning (DI & LR): -Blood Relations, Syllogism, Directions, Clocks & Calendars, Logical Connectives and Sequences, Tables, Graphs, Charts and other forms of visualization
3. Quantitative Aptitude: Geometry, Trigonometry, Averages, Percentages, Number Systems, Arithmetic, Mensuration

## Quantitative Mock Test

11

CAT QA SET 1

1 / 15

A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260?

2 / 15

If two spheres have their radii in the ratio 2: 3, the ratio of their volumes is

3 / 15

In a boat race, a person rows a boat 6 km upstream and returns to the starting point in 4 hours. If the speed of the stream is 2 km/hr, find the speed of the boat in still water.

4 / 15

What is the HCF of 1095 and 1168?

5 / 15

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

6 / 15

The radius of hemisphere is 3 cm. The ratio of its volume to the total surface area is

7 / 15

Surface area of a sphere is 5544 cm2. Its volume will be

8 / 15

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

9 / 15

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

10 / 15

The dimensions of a piece of iron in the shape of a cuboid are 270 cm x 100 cm x 64 cm. If it is melted and recast into a cube, find the surface of the cube.

11 / 15

The value of 51/4 x (125)0.25 is

12 / 15

A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

13 / 15

What is the probability of getting an even number when a dice is rolled?

14 / 15

A 500 m long train takes 36 seconds to cross a man walking in the opposite direction at the speed of 10 km/hr. Find the speed of the train.

15 / 15

In a kilometer race, A beats B by 40 meters or by 5 seconds. What is the time taken by A over the course?

## Quantitative Mock Test

8

CAT QA SET 2

1 / 15

If two spheres have their radii in the ratio 2: 3, the ratio of their volumes is

2 / 15

How many distinct positive integer-valued solutions exist to the equation ( x 2 − 7 x + 11 ) ( x 2 − 13 x + 42 ) = 1 ?

3 / 15

How many pairs (a, b) of positive integers are there such that a ≤ b and a b = 4 2017 ?

4 / 15

The points (2,1) and (-3,-4) are opposite vertices of a parallelogram. If the other two vertices lie on the line x + 9 y + c = 0 , then c is

5 / 15

Let m and n be natural numbers such that n is even and 0.2 < m 20 , n m , n 11 < 0.5 . Then m − 2 n equals

6 / 15

The radius of hemisphere is 3 cm. The ratio of its volume to the total surface area is

7 / 15

A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at

8 / 15

What is the HCF of 1095 and 1168?

9 / 15

The number of real-valued solutions of the equation 2 x + 2 − x = 2 − ( x − 2 ) 2 is

10 / 15

A 500 m long train takes 36 seconds to cross a man walking in the opposite direction at the speed of 10 km/hr. Find the speed of the train.

11 / 15

In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, is2

12 / 15

What is the probability of getting an even number when a dice is rolled?

13 / 15

What is the area of a triangle with base 5 meters and height 10 meters?

14 / 15

If log 4 5 = ( log 4 y ) ( log 6 √ 5 ) , then y equals

15 / 15

An alloy is prepared by mixing three metals A, B and C in the proportion 3: 4: 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5: 2: 6. In 130 kg of the alloy, the weight, in kg, of the metal C is

## Quantitative Mock Test

0

CAT QA SET 3

1 / 15

Surface area of a sphere is 5544 cm2. Its volume will be

2 / 15

If log 4 5 = ( log 4 y ) ( log 6 √ 5 ) , then y equals

3 / 15

The dimensions of a piece of iron in the shape of a cuboid are 270 cm x 100 cm x 64 cm. If it is melted and recast into a cube, find the surface of the cube.

4 / 15

A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260?

5 / 15

What is the area of a triangle with base 5 meters and height 10 meters?

6 / 15

In a kilometer race, A beats B by 40 meters or by 5 seconds. What is the time taken by A over the course?

7 / 15

If two spheres have their radii in the ratio 2: 3, the ratio of their volumes is

8 / 15

A 500 m long train takes 36 seconds to cross a man walking in the opposite direction at the speed of 10 km/hr. Find the speed of the train.

9 / 15

The value of 51/4 x (125)0.25 is

10 / 15

A boatman can row a boat upstream at 14 km/hr and downstream at 20 km/hr. Find the speed of the boat in still water and the speed of the stream.

11 / 15

The radius of hemisphere is 3 cm. The ratio of its volume to the total surface area is

12 / 15

The number of real-valued solutions of the equation 2 x + 2 − x = 2 − ( x − 2 ) 2 is

13 / 15

An alloy is prepared by mixing three metals A, B and C in the proportion 3: 4: 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5: 2: 6. In 130 kg of the alloy, the weight, in kg, of the metal C is

14 / 15

The points (2,1) and (-3,-4) are opposite vertices of a parallelogram. If the other two vertices lie on the line x + 9 y + c = 0 , then c is

15 / 15

What is the probability of getting an even number when a dice is rolled?

## Quantitative Mock Test

1

CAT QA SET 4

1 / 15

A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?

2 / 15

In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?

3 / 15

What is the probability that the position in which the consonants appear remain unchanged when the letters of the word "Math" are re-arranged?

4 / 15

The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2 ?

5 / 15

Positive integers from 1 to 45, inclusive are placed in 5 groups of 9 each. What is the highest possible average of the medians of these 5 groups ?

6 / 15

In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?

7 / 15

Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?

8 / 15

A, B, and C each working alone can complete a job in 6, 8, and 12 days respectively. If all three of them work together to complete a job and earn \$2340, what will be C's share of the earnings?

9 / 15

When I ask people to name three recently implemented technologies that most impact our world today, they usually propose the computers, the Internet and the laser. All three were unplanned, ___________, and_____________ upon their discovery and remained __________ well after their initial use. Which of the following options will BEST fill up the above blanks meaningfully?

10 / 15

The average of 5 numbers is 6. The average of 3 of them is 8. What is the average of the remaining two numbers ?

11 / 15

What is the % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%?

12 / 15

A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

13 / 15

Data Sufficiency: Set A contains distinct integers: A = {2, 4, 6, -8, x, y}. When two numbers from this set are selected and multiplied, what is the probability that the product is less than zero?

14 / 15

How many trailing zeros will be there after the rightmost non-zero digit in the value of 25!?

15 / 15

How many keystrokes are needed to type numbers from 1 to 1000?

## Quantitative Mock Test

0

CAT QA SET 5

1 / 15

How many distinct positive integer-valued solutions exist to the equation ( x 2 − 7 x + 11 ) ( x 2 − 13 x + 42 ) = 1 ?

2 / 15

A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at

3 / 15

In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, is2

4 / 15

How many pairs (a, b) of positive integers are there such that a ≤ b and a b = 4 2017 ?

5 / 15

How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?

6 / 15

A, B, and C each working alone can complete a job in 6, 8, and 12 days respectively. If all three of them work together to complete a job and earn \$2340, what will be C's share of the earnings?

7 / 15

In a boat race, a person rows a boat 6 km upstream and returns to the starting point in 4 hours. If the speed of the stream is 2 km/hr, find the speed of the boat in still water.

8 / 15

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

9 / 15

Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?

10 / 15

Let m and n be natural numbers such that n is even and 0.2 < m 20 , n m , n 11 < 0.5 . Then m − 2 n equals

11 / 15

Positive integers from 1 to 45, inclusive are placed in 5 groups of 9 each. What is the highest possible average of the medians of these 5 groups ?

12 / 15

The average of 5 numbers is 6. The average of 3 of them is 8. What is the average of the remaining two numbers ?

13 / 15

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

14 / 15

When I ask people to name three recently implemented technologies that most impact our world today, they usually propose the computers, the Internet and the laser. All three were unplanned, ___________, and_____________ upon their discovery and remained __________ well after their initial use. Which of the following options will BEST fill up the above blanks meaningfully?

15 / 15

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

## Quantitative Mock Test

0

CAT QA SET 6

1 / 15

When I ask people to name three recently implemented technologies that most impact our world today, they usually propose the computers, the Internet and the laser. All three were unplanned, ___________, and_____________ upon their discovery and remained __________ well after their initial use. Which of the following options will BEST fill up the above blanks meaningfully?

2 / 15

A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

3 / 15

The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

4 / 15

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

5 / 15

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :

6 / 15

If 7(X-2)=3X-2

7 / 15

A 500 m long train takes 36 seconds to cross a man walking in the opposite direction at the speed of 10 km/hr. Find the speed of the train.

8 / 15

Which of the follweing are multiple of either 13 or 15?

9 / 15

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

10 / 15

A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

11 / 15

A, B, and C each working alone can complete a job in 6, 8, and 12 days respectively. If all three of them work together to complete a job and earn \$2340, what will be C's share of the earnings?

12 / 15

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

13 / 15

A boatman can row a boat upstream at 14 km/hr and downstream at 20 km/hr. Find the speed of the boat in still water and the speed of the stream.

14 / 15

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

15 / 15

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

### Also Check NMAT Accepting MBA Colleges in India.

error: Content is protected !!
Hello