# 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 6:
A five digit number N has all digits different and contains digits 1,3,4,5, and 6 only. If N is the smallest possible number such that it is divisible by 11, then what is the tens place digit of N.
Topic: divisibility

[1] 1
[2] 3
[3] 4
[4] 5

Question 7:
If $\alpha$ and $- \alpha$ are the roots of the equation $2{x^3} - 5{x^2} - 8x + n = 0$ . Find the value of n?
Topic: equations

Question 8:
The bases of a trapezoid have lengths 10 and 15. A segment parallel to the bases passes through the point of intersection of the diagonals and extends from one side to the other. Find the length of the segment

[1] 5
[2] $\sqrt {150}$
[3] $\frac{{25}}{{\sqrt 2 }}$
[4] 12

Question 9:
The value of a fraction represented in base n is $0.\overline {111}$ while in base 2n it takes the simpler form 0.2n. What is n?
Topic: base system

Question 10:
If Gopal and Harish can complete a work together in 20 days, and Gopal alone can do the same work in 32 days. When both work together their efficiencies reduce by 20% compare to the efficiency when they would have worked alone. Find the number of days Harish alone takes to complete the same work.
Topic: work and time

### CAT Quant Practice Sets [Video Explanations]

CAT Quant Questions Set 01
CAT Quant Questions Set 03
CAT Quant Questions Set 04
CAT Quant Questions Set 05
CAT Quant Questions Set 06

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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

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

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.