**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 1:**

ABC is an isosceles triangle with sides AB=AC=5. D is a point in between B and C such that BD=2 and DC=4.5. Find the length of AD.

Topic: triangles

[1] \(2\sqrt 2 \)

[2] \(3\)

[3] \(4\)

[4] \(2\sqrt 3 \)

**Answer: **Option: 3

**Question 2:**

Let \(P=\frac{1}{{{10}^{2}}+1}+\frac{2}{{{10}^{2}}+2}+\frac{3}{{{10}^{2}}+3}+...+\frac{10}{{{10}^{2}}+10}\) then which of the following is the best approximate value of P.

Topic: series

[1] \(0.42\)

[2] \(0.52\)

[3] \(0.57\)

[4] \(0.62\)

**Answer: **Option: 2

**Question 3:**

How many rectangles can be formed by taking the four vertices of 18-sided regular polygon.

Topic: permutation and combination

**Answer: **36

**Question 4:**

Find the smallest number which has 6 distinct factors

Topic: factors

**Answer: **12

**Question 5:**

If Rohit drives at 20kmph, he reaches office at 3 pm. If he drives at 30kmph, he reaches office at 11 am. At what speed he should drive if he wishes to reach office at 1 pm.

Topic: speed time and distance

[1] 25 kmph

[2] 24 kmph

[3] 27 kmph

[4] None of these

**Answer: **Option: 2

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

stewarts theorem