MCQ

MCQ 11 Mark

Mark $(\checkmark)$ against the correct answer in the following: If $\frac{1}{3}\text{x}+5=8,$ then $\text{x}={}?$

A
$3$
B
$6$
✓
$9$
D
$12$

Answer

Correct option: C.

$9$

$\Rightarrow\frac{1}{3}\text{x}+5=8$
$\Rightarrow\frac{1}{3}\text{x}+5-5=8-5 [$Substracting $5$ from both sides$]$
$\Rightarrow\frac{1}{3}\text{x}\times3=3\times3 [$Multiplying both sides by $3]$
$\text{x}=9$

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MCQ 21 Mark

Mark $(\checkmark)$ against the correct answer in the following: if $\frac{\text{x}}{5}=1,$ then,

A
$\text{x}=\frac{1}{5}$
✓
$x = 5$
C
$x = (5 + 1)$
D
None of these

Answer

Correct option: B.

$x = 5$

$\frac{\text{x}}{5}=1$
$\Rightarrow\frac{\text{x}}{5}\times5=1\times5 [$Multiplying both the side by $5]$
$x = 5$

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MCQ 31 Mark

Mark $(\checkmark)$ against the correct answer in the following: The coefficient of $x$ in $-5xyz$ is:

A
$-5$
B
$5yz$
✓
$-5yz$
D
$yz$

Answer

Correct option: C.

$-5yz$

All the terms in the expression $-5xyz$ barring $x$ will be the coefficient of $x,$ i.e. $-5yz.$

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MCQ 41 Mark

Mark $(\checkmark)$ against the correct answer in the following: $\frac{1}{3}(\text{x}+7+\text{z})$ is $a:$

A
Monomial
B
Binomial
✓
Trinomial
D
Quadrinomial

Answer

Correct option: C.

Trinomial

Since it contains three variables, i.e. $x, y$ and $z,$ it is a trinomial.

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MCQ 51 Mark

Mark $(\checkmark)$ against the correct answer in the following:
If $x = 1, y = 2$ and $z = 3$ then $(x^2 + y^2 + z^2) = ?$

A
$6$
B
$12$
✓
$14$
D
$15$

Answer

Correct option: C.

$14$

Substituting $x = 1, y = 2$ and $z = 3$ in $(x^2 + y^2 + z^2):$
$\Rightarrow (1)^2 + (2)^2 + (3)^2$
$\Rightarrow 1 + 4 + 9 = 14$

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MCQ 61 Mark

Mark $(\checkmark)$ against the correct answer in the following: By how much does $I$ exceed $2x - 3y - 4?$

A
$2x - 3y - 5$
B
$2x - 3y - 3$
✓
$5 - 2x + 3y$
D
None of these

Answer

Correct option: C.

$5 - 2x + 3y$

$1$ exceeds $2x - 3y - 4.$
$\therefore 1 - (2x - 3y - 4) $
$= 1 - 2x + 3y + 4$
$= 5 - 2x + 3y$
$\therefore 1$ exceeds $2x - 3y - 4$ by $5 - 2x + 3y$

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MCQ 71 Mark

Mark $(\checkmark)$ against the correct answer in the following:
What must be added to $5x^3 - 2x^2 + 6x + 7$ to make the sum $x^3 + 3x^2 - x + 1$?

A
$4x^3 - 5x^2 + 7x + 6$
✓
$-4x^3 + 5x^2 - 7x - 6$
C
$4x^3 + 5x^2 - 7x + 6$
D
None of these

Answer

Correct option: B.

$-4x^3 + 5x^2 - 7x - 6$

In order to find what must be added, we subtract $(5x^3 - 2x^2 + 6x + 7)$ from $(x^3 + 3x^2 - x + 1)$
$\Rightarrow (x^3 + 3x^2 - x + 1) - ( 5x^3 - 2x^2 + 6x + 7)$
$\Rightarrow x^3 + 3x^2 - x + 1 - 5x^3 + 2x^2 - 6x - 7$
$\Rightarrow x^3 - 5x^3+ 3x^2+ 2x^2- x - 6x+ 1 - 7$
$\Rightarrow -4x^3+ 5x^2 - 7x - 6$

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MCQ 81 Mark

Mark $(\checkmark)$ against the correct answer in the following: $2x - [3y - {2x - (y - x)}] = ?$

✓
$5x - 4y$
B
$4y - 5x$
C
$5y - 4x$
D
$4x - 5y$

Answer

Correct option: A.

$5x - 4y$

$2x - [3y - {2x - (y - x)}]$
$= 2x - [3y - {2x - y + x}]$
$= 2x - [3y - {3x - y}]$
$= 2x - [3y - 3x + y]$
$= 2x - [4y - 3x]$
$= 2x - 4y + 3x$
$= 5x - 4y$

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