Class 7 Maths: Algebraic Expressions - Chapter 12 Set 3

Question 1

If $A=x( R^2- r^2)$ then R is equal to

Accepted Answer

$\sqrt{\frac{A\ +\pi r^2}{\pi }}$

Answer

$\sqrt{\frac{A\ - \pi r^2}{\pi }}$

Answer

$\sqrt{\frac{r^2\pi -A}{\pi }}$

Answer

$\sqrt{\frac{r^2\pi + A}{\pi }}$

Question 2

Using the formula: $W=np+\frac{1}{2}Nx^2$, from a formula for x.

Accepted Answer

$\sqrt{\frac{2\left(W-np\right)}{N}}$

Answer

$\sqrt{\frac{Wn-p}{2N}}$

Answer

$\sqrt{\frac{\left(np-W\right)}{2N}}$

Answer

$\sqrt{\frac{\left(W\ +\ np\right)}{2N}}$

Question 3

The remainder when $x^3-2x^2+4x$ is divided by $x^2$ is

Accepted Answer

0

Answer

1

Answer

$x-2\ +\frac{y}{x}$

Answer

$4x-2 x^2$

Question 4

What would be added to $\frac{1}{2}$ , to make it equal to $x$?

Accepted Answer

$\frac{x^2-1}{x}$

Answer

$\frac{x^2-x}{x^2}$

Answer

$\frac{x}{x^2-1}$

Answer

$\frac{x^2+1}{x}$

Question 5

$\frac{3}{4}(a+y)-\left[y+a-\frac{1}{3}\left\{y+a-\frac{1}{4}\left(a+y\right)\right\}\right]$ is equal to

Accepted Answer

0

Answer

$a+y$

Answer

$3a$

Answer

$ -4y$

Question 6

The formula for the area, A sq of the white cross is

Accepted Answer

$A=2ax+2ay+a^2$

Answer

$A=4ax+4ay+a^2$

Answer

$A=2ax+4ay+a^2$

Answer

None of these

Question 7

If $P=\frac{W}{29}(v^2-u^2)$, then the value of P when $W=40, g=32, u=4, v=12$ is

Accepted Answer

80

Answer

82

Answer

90

Answer

78

Question 8

If $\frac{1}{f}=\frac{1}{p}+\frac{1}{q}$ and $P=2, q=3f$ then $f$ is

Accepted Answer

$1\frac{1}{5}$

Answer

$2\frac{1}{5}$

Answer

$3\frac{1}{2}$

Answer

$3\frac{2}{5}$

Question 9

The remainder when $3x^2+5x-7$ is dividing by $x+3$ is

Accepted Answer

5

Answer

-5

Answer

4

Answer

2

Question 10

The value of product $(4a^2+3b) (9b^2+4a)$ at $a=1, b=2$is

Accepted Answer

-80

Answer

60

Answer

70

Answer

-50

CHAPTER-12 ALGEBRAIC EXPRESSIONS (SET-3)

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