# 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 6:
A five digit number N has all digits different and contains digits 1,3,4,5, and 6 only. If N is the smallest possible number such that it is divisible by 11, then what is the tens place digit of N.
Topic: divisibility

[1] 1
[2] 3
[3] 4
[4] 5

Question 7:
If $\alpha$ and $- \alpha$ are the roots of the equation $2{x^3} - 5{x^2} - 8x + n = 0$ . Find the value of n?
Topic: equations

Question 8:
The bases of a trapezoid have lengths 10 and 15. A segment parallel to the bases passes through the point of intersection of the diagonals and extends from one side to the other. Find the length of the segment

[1] 5
[2] $\sqrt {150}$
[3] $\frac{{25}}{{\sqrt 2 }}$
[4] 12

Question 9:
The value of a fraction represented in base n is $0.\overline {111}$ while in base 2n it takes the simpler form 0.2n. What is n?
Topic: base system

Question 10:
If Gopal and Harish can complete a work together in 20 days, and Gopal alone can do the same work in 32 days. When both work together their efficiencies reduce by 20% compare to the efficiency when they would have worked alone. Find the number of days Harish alone takes to complete the same work.
Topic: work and time

### CAT Quant Practice Sets [Video Explanations]

CAT Quant Questions Set 01
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CAT Quant Questions with Video Solutions