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If [p] means the greatest positive integer less than or equal to p, then \( \Large \left[ \frac{1}{4} \right]+\left[ 4-\frac{1}{4} \right]+\left[ 3 \right] \) is equal to

A) 4
B) 5
C) 6
D) 7

Correct Answer:




D) 7

Description for Correct answer:
Given [p] means greatest positive integer less than or [p] equal to p,

=> \( \Large \left[ p \right] = p \)

=> \( \Large \left[ -p \right] = p \)

=> \( \Large \left[ -\frac{1}{4} \right]+\left[ 4 - \frac{1}{4} \right]+\left[ 3 \right] \)

= \( \Large \frac{1}{4}+4-\frac{1}{4}+3 = 7 \)

Part of solved Elementary Mathematics questions and answers : >> Elementary Mathematics

Comments

Similar Questions

1). The value of \( \Large \frac{\left(243\right)^{\frac{n}{5}}.3^{2n+1}}{9^{n}.3^{n-1}} \) is

A). 1

B). 9

C). 3

D). \( \Large 3^{n} \)

2). If x=0.5 and y=0.2, then the value of \( \Large \sqrt{0.6} \times \left(3y\right)^{x} \) is equal to

A). 1

B). 0.5

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3). If \( \Large x^{x\sqrt{x}}= \left(x\sqrt{x}\right)^{x} \) , the x equals

A). \( \Large \frac{4}{9} \)

B). \( \Large \frac{2}{3} \)

C). \( \Large \frac{9}{4} \)

D). \( \Large \frac{3}{2} \)

4). If a=7, b=5 and =3, the value of \( \Large a^{2}+b^{2}+c^{2}-ab-bc-ca \) is

A). 12

B). -12

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5). If \( \Large 7^{x}=\frac{1}{343} \), then the value of x is

A). 3

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6). \( \Large \frac{\frac{1}{3}.\frac{1}{3}.\frac{1}{3}+\frac{1}{4}.\frac{1}{4}.\frac{1}{4}-3\frac{1}{3}.\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{5}.\frac{1}{5}}{\frac{1}{3}.\frac{1}{3}+\frac{1}{4}.\frac{1}{4}+\frac{1}{5}.\frac{1}{5}-\left(\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{3}\right) } \) is

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B). \( \Large \frac{3}{4} \)

C). \( \Large \frac{47}{60} \)

D). \( \Large \frac{49}{60} \)

7). If \( \Large 0.13 \times p^{3}=13 \), then p is equal to

A). 10

B). 0.01

C). 0.1

D). 100

8). If \( \Large \frac{x}{y}=\frac{3}{4} \), the value of \( \Large \frac{6}{7}+\frac{y-x}{y+x} \) is:

A). 1

B). \( \Large \frac{2}{7} \)

C). \( \Large \frac{3}{7} \)

D). \( \Large 1\frac{3}{7} \)

9). If \( \Large x=7-4\sqrt{3} \), then \( \Large \sqrt{x}+\frac{1}{\sqrt{x}} \) is equal to:

A). 1

B). 2

C). 3

D). 4

10). If \( \Large a=\frac{\sqrt{5}+1}{\sqrt{5}-1}\ and\ b=\frac{\sqrt{5}-1}{\sqrt{5}+1} \), then the value of \( \Large \frac{a^{2}+ab+b^{2}}{a^{2}-ab+b^{2}} \)

A). \( \Large \frac{3}{4} \)

B). \( \Large \frac{4}{3} \)

C). \( \Large \frac{3}{5} \)

D). \( \Large \frac{5}{3} \)