# 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 21:
A, B, C, D, and E are five friends. The sums of the weights of each group of four of them are 132, 138, 113, 131, and 126. What is the positive difference of the weights of the heaviest and lightest among them?
Topic: averages

 25
 26
 27
 None of these

Question 22:
In the figure given below, O is the center and AB is the diameter of the circle of radius 15. From point D, two tangents DC and DB are drawn to the circle. If AC is parallel to OD and AC+OD=43, find the length of CD given CD is positive integer Topic: circles

Question 23:
If $x+y+z=2,\ {{x}^{2}}+{{y}^{2}}+{{z}^{2}}=6,\ and\ {{x}^{3}}+{{y}^{3}}+{{z}^{3}}=8$, find the value of ${{x}^{4}}+{{y}^{4}}+{{z}^{4}}$ ?
Topic: basic algebra

 $8\sqrt{5}$
 18
 $18\sqrt{3}$
 16

Question 24:
Two friends Ankit and Brijesh are approaching towards each other, each one at 1 kmph. Ankit is walking with a dog, which can run at speed of 9 kmph. The dog leaves Ankit and runs towards Brijesh when Ankit and Brijesh are 10 km apart. After reaching Brijesh the dog immediately runs back to Ankit. Find the distance travelled by Ankit between the time the dog leaves him and comes back to him.
Topic: speed time and distance

 1.6 km
 1.8 km
 1.2 km
 1.4 km

Question 25:
The lines $x = \frac{1}{4}y + a$ and $y = \frac{1}{4}x + b$ intersect at the point $\left( 1,2 \right)$. What is a + b?
Topic: coordinate geometry

 0
 $\frac{3}{4}$
 1
 $\frac{9}{4}$

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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