Measures and Relations

Q.

Find: $\frac{1}{2}$ of $2\frac{3}{4}$

Q.

7. Sodium floats on water.

1. True
2. False

Q.

A cuboidal tank of length, breadth and height $10\mathrm{m},5\mathrm{m}$ and $5\mathrm{m}$ is filled with $900\mathrm{Kg}$oil. Find the volume of the cuboidal tank and the density of the liquid in Kg m^-3.

Q.

Though mercury is a liquid at room temperature, its density is ________ than that of iron

Q.

The density of a piece of iron will change by changing its shape or size.

1. True
2. False

Q. Let $\frac{C}{5}=\frac{F-32}{9},$ if C lies between 10 and 20, then
माना $\frac{C}{5}=\frac{F-32}{9},$ यदि 10 और 20 के मध्य C स्थित है, तब

1. 49 < F < 68
2. 50 < F < 78
3. 49 < F < 78
4. 50 < F < 68

Q. What is the density of the material of an utensil whose volume and mass are $10c{m}^3$ and $100g$ respectively?

1. $10g/c{m}^3$
2. $8g/c{m}^3$
3. $12g/c{m}^3$
4. $9g/c{m}^3$

Q.

Two numbers are taken and added. Now from the sum, if twice of the second number is subtracted, then which of the following represents the correct unchanging relation?

1. x-y

2. x+2y

3. x+y

4. x-2y

Q.

Which of the following relation is incorrect ?

1. x+x=2x

2. $y+y=y\times y$

3. 2x+2y=2(x+y)

4. 4x+2y=2(2x+y)

Q. What is the volume of an utensil whose density and mass are $50g/c{m}^3$ and $2000g$ respectively?

1. $50c{m}^3$
2. $80c{m}^3$
3. $20c{m}^3$
4. $40c{m}^3$

Q.

$2\frac{1}{3}+3\frac{1}{3}$ is same as

1. $2\frac{13}{3}+1$

2. $\frac{13}{3}$

3. $\frac{13}{3}+1$

4. $2\frac{13}{3}+2$

Q.

Determine whether each statements are sometimes, always or never true. Explain.

The expression $yz$ means the same as the expression $y\times z$.

1. True
2. False

Q. Find the side of the square garden, if its perimeter is 48 m.

1. 8 m
2. 18 m
3. 12 m
4. 6 m

Q. Which of the following relation is incorrect ?

1. $2x+2y=2(x+y)$
2. $4x+2y=2(2x+y)$
3. $x+x=2x$
4. $y+y=y\times y$

Q.

The area of a rectangle whose length is 'l' and breadth is 'b' is given by _______.

1. l - b

2. 2l + 2b

3. l + b

4. l × b

Q. Two numbers are added in which one is 2 more than the other.Then which of the following represents the sum ?

Q. $(x-y)+z=x-(y-z)$, for all numbers $x$, $y$, and $z$ with $y>z$.

1. True
2. False