Tag: multiplication methods

Questions Related to multiplication methods

Tony needs to solve the equation given below.
$\displaystyle  \frac {3}{4}t=\frac {6}{20}$
What operation should Tony perform to solve the equation for $t$ ?

  1. Multiply both sides by $\displaystyle \frac {1}{4}$

  2. Divide both sides by $\displaystyle \frac {3}{4}$

  3. Add $\displaystyle \frac {3}{4}$ to both sides

  4. Subtract $\displaystyle \frac {3}{4}$ from both sides


Correct Option: B
Explanation:

As t term is 3t/4,So to find t we need to divide is by 3/4.
Answer (B) 
Divide both sides by 3/4

A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was........

  1. 64

  2. 72

  3. 80

  4. 85


Correct Option: D
Explanation:

average = 12.4 runs per wicket, 
Let's assume total  
number of wickets taken by him till the last match=x
 total  number of runs taken by him till the last match=y
$y/x=12.4$
$y=12.4x
$(y+26)/(x+5)=12$
$12.4x+26=12x+60$
$0.4x=34$
$x=85$
The number of wickets taken by him till the last match =85
Answer (D) 85

If $4m = 5K$ and $6n = 7K$, the ratio of $m$ to $n$ is

  1. 5:7

  2. 10:21

  3. 14:15

  4. 2:3

  5. 15:14


Correct Option: E
Explanation:

Given that $4m=5K$ and $6n=7K$
Now divide those two equations, we get $\dfrac { 4m }{ 6n } =\dfrac { 5K }{ 7K } $
Which gives $ \dfrac { m }{ n } =\dfrac { 5 }{ 7 } \times \dfrac { 6 }{ 4 } =\dfrac { 15 }{ 14 } $

Multiply: $(3 i)(4 + 3i)(5 2i)$

  1. $63-2i$

  2. $23-7i$

  3. $45-6i$

  4. $85-5i$


Correct Option: D
Explanation:

$3i\left( 4+3i \right) \left( 52i \right) \ =\quad 156{ i }^{ 2 }\left( 4+3i \right) \ =\quad -156\left( 4+3i \right) \ =\quad -624-468i$


Find : $43245\times 0$

  1. $43245$

  2. $0$

  3. $432450$

  4. $4324$


Correct Option: B
Explanation:

We know that any number multiplied by $0$ will always result in $0$. For example: The equation $0\times 2 = 0$ can be read as 'Zero times Two equals Zero'. That means, you are taking $'2'$ zero times, effectively taking nothing. So, multiplying any number by zero will always be zero.


Hence, $43245\times 0=0$.

Which of the following statements do not accurately describe the multiplicative inverse ?

  1. If a given fraction with numerator $1$ , the multiplicative inverse will be its denominator.

  2. If a given whole number the multiplicative inverse will a fraction containing that number as numerator and $1$ as denominator.

  3. In a statement $\sqrt3\times x=1$ , $x$ is the multiplicative inverse.

  4. One pair of number when multiplied together gives the number $1$


Correct Option: B
Explanation:

Option $B$ is correct.
The multiplicative inverse will include $1$ as numerator.

Find : $5436\times 1$.

  1. $5436$

  2. $0$

  3. $1$

  4. $5437$


Correct Option: A
Explanation:

We know that any number multiplied by $1$ will always result in that number itself. For example: The equation $2\times 1 = 2$ can be read as 'two times one equals one'. That means, you are taking $'2'$ one times, effectively taking nothing but multiplying by its unity. So, multiplying any number by one will always be the number itself.


Hence, $5436\times 1=5436$.

Simplified value of $769\times 43$ is

  1. $33,058$

  2. $23,067$

  3. $33,067$

  4. $33,207$


Correct Option: C
Explanation:

By calculations,

$\ \ \ \ \ \ \ \ 769 \ \times\ \ \ \  43 \ ----$
$\ \ \ \ \ \ 2307 \ +30760  \ ----- \ \ \ \ \ 33067$

Divide : $87537\div 1$

  1. $0$

  2. $1$

  3. $87536$

  4. $87537$


Correct Option: D
Explanation:

We know that any number divided by $1$ will always result in that number itself. For example: $2\div 1 = 2$ and 


Hence, $87537\div 1=87537$.

Multiply : $44\times 567\times 1$

  1. $44$

  2. $567$

  3. $24948$

  4. $1$


Correct Option: C
Explanation:

We know that any number multiplied by $1$ will always result in that number itself. Therefore, we only multiply $44$ and $567$ as follows:


$44\times 567=24948$

Hence, $44\times 567\times 1=24948$