**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 11:**

In a survey done across 115 people about their favorite TV Serials: Sathiya, Kumkum, and Balika.

The following results were found

A) 80 prefer Sathiya, 60 prefer Kumkum and 50 prefer Balika.

B) 30 prefer both Sathiya and Kumkum, 40 prefer both Kumkum and Balika. 25 prefer Sathiya and Balika

Find the maximum number of people who could prefer all three serials.

Topic: set theory

[1] 25

[2] 50

[3] 15

[4] 20

**Answer: **Option: 4

**Question 12:**

In how many different ways can we change the sign * with + or -, such that the following equation is true? 1*2*3*4*5*6*7*8*9*10*11 = 42?

Topic: properties of numbers

[1] 6

[2] 7

[3] 8

[4] 10

**Answer: **Option: 2

**Question 13:**

Nishant, Rakesh, Brijesh, and Rohit bought a house for Rs.40 lakhs. The contribution of Nishant is 3/5

^{th}of the contribution of Rakesh, Brijesh, and Rohit taken together. The contribution of Rakesh is 2/3rd of the contribution of Brijesh and Rohit taken together. Brijesh and Rohit contributed equal amount. What is the ratio of their respective contributions?

Topic: ratio and proportion

[1] 6:4:3:1

[2] 8:4:2:2

[3] 6:4:3:3

[4] 5:4:3:4

**Answer: **Option: 3

**Question 14:**

The area of a triangle is 48 and the two sides of the triangle are 8 and 15. Let x be the length of largest possible third side. What is the value of [x], where [x] is a greatest integer less than equal to x.

Topic: triangles

[1] 12

[2] 17

[3] 19

[4] None of these

**Answer: **Option: 4

**Question 15:**

Find sum of all the real roots of the equation \(\sqrt[3]{x} + \sqrt[3]{{20 - x}} = 2\)

Topic: equations

**Answer: **20

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

stewarts theorem