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.

Answer: Option: 3

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] \(4\sqrt{3}-\frac{11\pi }{6}\)

Answer: Option: 4

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

Answer: Option: 2

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

Answer: 75

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

Answer: Option: 2

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

CAT Quant Online Course

  • 1000+ Practice Problems
  • Detailed Theory of Every Topics
  • Online Live Sessions for Doubt Clearing
  • All Problems with Video Solutions
₹ 2999

Try CAT 2020 online course for 1 day for FREE

Please provide your details to get FREE Trial of Bodhee Prep's Online CAT Course for one day. We will inform you about the trial on your whatsApp number with the activation code.

4 thoughts on “CAT Quant Questions with Video Solutions

  1. 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

Leave a Reply

Your email address will not be published. Required fields are marked *