NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 26

MEDIUM

XAT

IMPORTANT

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If $p + q + r = 0$ , where $a \neq b \neq c$ , then $\frac{p^{2}}{2 p^{2} + qr} + \frac{q^{2}}{2 q^{2} + pr} + \frac{r^{2}}{2 r^{2} + pq} =$

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Important Questions on Quantitative Skills

MEDIUM

XAT

IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 27

Out of a group of swans, seven times half of the square root of the number of swans were seen going away from a bank of a river and only one pair remained in the water. How many swans were there in the group?

EASY

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IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 28

If

\frac{1}{p} + \frac{1}{q} = m

and

pq = \frac{1}{n}

, find

\frac{1}{p^{2}} + \frac{1}{q^{2}}

EASY

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IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 29

Let

f (x + 2) + f (5 x + 6) = 2 x - 1

for all real

x

. Find the value of

f (1).

EASY

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IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 30

For what value of $K$ , the given set of equations would have no solution?

$4 x - Ky =-7$ and $5 x +3 y =2$

EASY

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IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 33

If the sum of the roots of an quadratic equation is

\frac{5}{4}

times the product of the roots, find the relation between

b

and

c .

EASY

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IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 34

If

a and b

are positive integers such that

a^{2} + 2 b = b^{2} + 2 a + 5

, find the value of

b

.

EASY

XAT

IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 35

Manoj plans to work at a coffee shop during his summer holidays. He will be paid as per the following schedule: at the end of the first week, he will receive

₹ 1000

. At the end of each subsequent week, he will receive

₹ 1000

, plus an additional amount equal to the sum of all payments he has received in the previous weeks. How much money will Manoj be paid in total if he works for

6

weeks at this coffee shop?

EASY

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IMPORTANT

NMAT Official Guide 2020 - Quantitative Skills>Chapter 1 - Quantitative Skills>Practice Questions>Q 36

If the collection of a movie is

Rs

.

100, 000

for the first day,

Rs

.

120, 000

for the second day,

Rs

.

140, 000

for the third day and so on, that is, the collection increases by

Rs

.

20, 000

every day, then find the total collection for the first

10

days.