NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 2

EASY

XAT

IMPORTANT

Earn 100

A certain number of teams participated in a charity Rugby tournament. Each team played with every other team participating in the tournament exactly once. If the number of matches played in the tournament is $120$ , then how many teams participated in the tournament?

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Important Questions on Quantitative Skills

EASY

XAT

IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 4

If

a, b

and

c

are the three positive integers in geometric progression, then the roots of the equation

{ax}^{2} + 4 bx + 2 c = 0

are

EASY

XAT

IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 5

If

p

and

q

are roots of

x^{2} + 7 x + 12 = 0

, then the equation whose roots are

(p + q)^{2}

and

(p - q)^{2}

is

EASY

XAT

IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 6

Which of the following could be the quadratic equation for which one root is

1 \frac{1}{2}

times the other root and the difference between the roots is

1 ?

HARD

XAT

IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 7

If

p

and

q

are the roots of the equation

{ax}^{2} + bx + c = 0

, then what is the value of

p^{4} - q^{4} ?

EASY

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IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 8

If

2 {(x - 1)}^{3} + 3 \leq 19

, then the value of

x

must be:

HARD

XAT

IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 9

If

| 3 a + 7 | \geq 2 a + 12

, then

MEDIUM

XAT

IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 10

If

x

is an integer and

\sqrt{192} < x \sqrt{12}

and

\frac{x}{\sqrt{12}} < \sqrt{12}

which of the following can be the value of

x ?

EASY

XAT

IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 11

If

|\frac{a}{b}| and |\frac{x}{y}|

are reciprocals, and, which of the following must be true?