# CAT Quant Questions with Video Solutions

CAT 2020 MOCK Test Series at INR 1000/- only.

Note: These Quant questions have been selected from 1000+ CAT Quant Practice Problems with video solutions of Bodhee Prep’s Online CAT Quant Course
Question 11:
In a survey done across 115 people about their favorite TV Serials: Sathiya, Kumkum, and Balika.

The following results were found

A) 80 prefer Sathiya, 60 prefer Kumkum and 50 prefer Balika.

B) 30 prefer both Sathiya and Kumkum, 40 prefer both Kumkum and Balika. 25 prefer Sathiya and Balika

Find the maximum number of people who could prefer all three serials.

Topic: set theory

 25
 50
 15
 20

Question 12:
In how many different ways can we change the sign * with + or -, such that the following equation is true? 1*2*3*4*5*6*7*8*9*10*11 = 42?
Topic: properties of numbers

 6
 7
 8
 10

Question 13:
Nishant, Rakesh, Brijesh, and Rohit bought a house for Rs.40 lakhs. The contribution of Nishant is 3/5thof the contribution of Rakesh, Brijesh, and Rohit taken together. The contribution of Rakesh is 2/3rd of the contribution of Brijesh and Rohit taken together. Brijesh and Rohit contributed equal amount. What is the ratio of their respective contributions?
Topic: ratio and proportion

 6:4:3:1
 8:4:2:2
 6:4:3:3
 5:4:3:4

Question 14:
The area of a triangle is 48 and the two sides of the triangle are 8 and 15. Let x be the length of largest possible third side. What is the value of [x], where [x] is a greatest integer less than equal to x.
Topic: triangles

 12
 17
 19
 None of these

Question 15:
Find sum of all the real roots of the equation $\sqrt{x} + \sqrt{{20 - x}} = 2$
Topic: equations

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### 8 thoughts on “CAT Quant Questions with Video Solutions”

1. MAHESH AGGARWAL says:

do you have exclusive PACKAGE OF video solutions of last 10-15 years CAT EXAMS? I AM INTERESTED IN JUST THAT. I AM HELPING A GIRL APPEARING FOR CAT 2019 EXAM

• admin says:

We have already included all the good questions from CAT and other MBA entrance exams in our course.
All these questions are with Video explanations

• Pavani says:

If f is 3
F(3)
6+3+2 is 11

2. Rajaraman says:

Can you tell the name of the theorem that you said in the first quetion

• anushka says:

stewarts theorem

3. Abinash says:

Sir, for question no. 23:- we can do as x+y=2-z
=> cubing both sides:- x3+y3+z3=8-(2-z)(6z+3xy)
=>as given that x3+y3+z3=8, then (2-z)(6z+3xy)=0 => z=2(considering an integer value for easy output) ,now putting z value in every eqn given :- x+y=0
x2+y2=2
x3+y3=0
from the above three eqns we find that if one of x or y is +ve then another ll be -ve but both ll be of same magnitude i.e. (+-)1….thus x4+y4+z4=18

4. Siddharth says:

Set 1 Question 5.

I want to know the below logic would be wrong.

Distance is constant. If the Speed increases by 10km/hr, the time decreases by 4 hours.
So to decrease time by 2 hours, Speed can be increased by 5km/hr.

20 + 5= 25 kmph.

I understand something might be wrong with this logic but could someone help pinpoint that?

• shaswat says:

the assumption of “to decrease time by 2 hours, speed can be increase by 5km/hr” is wrong. it would be right if you know the initial time and consider from the start but since the journey is already going on, u can’t do that.