# CAT Quant Questions with Video Solutions

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 26:
For any three positive real numbers x, y and z,$9\left( {25{x^2} + {y^2}} \right) + 25\left( {{z^2} - 3zx} \right) = 15y\left( {3x + z} \right)$ Then :
Topic: progressions

[1] x, y and z are in G.P.
[2] y, z and x are in G.P.
[3] y, z and x are in A.P.
[4] x, y and z are in A.P.

Question 27:
Circles with center A and B are externally tangent to each other and to line m. If the radii of circle A and B are 3 and 1 respectively, Find the area of the shaded region.

Topic: area

[1] $4\sqrt{3}-\frac{7\pi }{3}$
[2] $3\sqrt{3}-\frac{11\pi }{7}$
[3] $2\sqrt{3}-\frac{\pi }{3}$
[4] $4\sqrt{3}-\frac{11\pi }{6}$

Question 28:
13 married couples attended a wedding ceremony, each woman gave a pack of chocolates to everyone except her spouse, and no exchange of gifts took place between men. How many gifts were exchanged among these people?
Topic: permutation and combination

[1] 78
[2] 312
[3] 468
[4] 624

Question 29:
Let $f\left( x \right)=a{{x}^{2}}+bx+c$ and $f\left( {x + y} \right) = f\left( x \right) + f\left( y \right) + xy$. Given a+b+c=3 , find the value of $f\left( 10 \right)$
Topic: functions

Question 30:
Let $x={{\log }_{4}}9+{{\log }_{9}}28$ then which of the following is true:
Topic: logarithm

[1] 2<x<3
[2] 3<x<4
[3] 4<x<5
[4] None of these

### CAT Quant Practice Sets [Video Explanations]

CAT Quant Questions Set 01
CAT Quant Questions Set 02
CAT Quant Questions Set 03
CAT Quant Questions Set 04
CAT Quant Questions Set 05

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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.