# 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

 x, y and z are in G.P.
 y, z and x are in G.P.
 y, z and x are in A.P.
 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

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

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

 78
 312
 468
 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

 2<x<3
 3<x<4
 4<x<5
 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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• All Problems with Video Solutions ### 4 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

2. Rajaraman says:

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

• anushka says:

stewarts theorem