5068 / 37 x 4 = ?

Correct Answer: 12

Explanation:

Using BODMAS law,

3 x 3 + 3 - 3 + 3 =

3 x 3 = 12

= 12 + 3 - 3 + 3

=  9 + 3

= 12

 

Hence, 3 x 3 + 3 - 3 + 3 = 12.

Correct Answer: 112

Explanation:

$$\begin{gathered} 7 + 7 ÷ 7 + 7 x 7 + 7 - 7 ÷ 7 + 7 x 7 \\ = 7 + 1 + 49 + 7 - 1 + 49 \\ = 8 + 56 + 48 \\ = 56 + 56 \\ = 112 \end{gathered}$$

Correct Answer: 89

Explanation:

This can be done in a method called Approximation.

Now, 

$$\begin{gathered} 5 2 + 6 3 + 6 + 7 2 = ? x 3 . 34 \\ 25 + 216 + 6 + 49 = ? x 3 . 34 \\ 296 = ? x 3 . 34 \\ ? = 296 3 . 34 = 88 . 622 ? 89 \end{gathered}$$

Correct Answer: 51

Explanation:

Unit digit of this expression is always 1 as the base ends with 1. 

For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit.

i.e, tenth place digit in 2151 is 5 and

tenth place digit in power 415 is 1

And the units digit in the product of 5 x 1 = 5

 

Therefore, last two digits of  2151 415 is 51.

Correct Answer: A

Explanation:

The quadratic equation whose roots are reciprocal of 2 x 2 + 5 x + 3 = 0 can be obtained by replacing x by 1/x.

 

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

 

=>  3 x 2 + 5 x + 2 = 0

 

 

Correct Answer: 50

Explanation:

Given 7 + 7/7 + 7 x 7 - 7

By using BODMAS rule,

7 + 1 + 7 x 7 - 7

= 8 + 49 - 7

= 57 - 7

= 50.

 

Hence 7 + 7/7 + 7 x 7 - 7 = 50.

Correct Answer: 4.5

Explanation:

Given equation is  

   19 2 . 5 × 19 p = 19 7   

Here it is in the form of  a m × a n = a m + n  

 Here m = 2.5 , n = p, m+n = 7

 => 2.5 + p = 7 

 => p = 7 - 2.5

 => p = 4.5

Correct Answer: 2X^2

Explanation:

Here the given expression, 

X 2 + X 2 is an algebraic expression. Here in this expression the terms are like terms. Now to add them, add their coefficients.

Here in the given expression, the like terms are two  X 2

Hence, adding their coefficients i.e, 1 + 1 = 2

Therefore, 

 

X 2 + X 2 = 2 X 2.

Correct Answer: -1

Explanation:

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

Correct Answer: 3/8

Explanation:

Now to find the difference in the given fractions, 1/2 - 1/8

First take the LCM of 2 & 8

LCM of 2 & 8 is 8

Then,

1/2 - 1/8

= (4 - 1)/8

= 3/8

 

Hence, 1/2 - 1/8 = 3/8.