# 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

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CAT Quant Questions with Video Solutions