2
Q:

# 217 x 217 + 183 x 183 = ?

 A) 84521 B) 87487 C) 80578 D) 78458

Explanation:

${\left(217\right)}^{2}+{\left(183\right)}^{2}$

= ${\left(200+17\right)}^{2}+{\left(200-17\right)}^{2}$

It is in the form of ${\left(\mathbf{a}\mathbf{+}\mathbf{b}\right)}^{\mathbf{2}}\mathbf{+}{\left(\mathbf{a}\mathbf{-}\mathbf{b}\right)}^{\mathbf{2}}\mathbf{=}\mathbf{2}\left({\mathbf{a}}^{\mathbf{2}}\mathbf{+}{\mathbf{b}}^{\mathbf{2}}\right)$

= 2(40000 + 289) = 80578.

Q:

Simplify

39.96% of 649.85 $\mathbf{÷}$13.07 = 45.14 - ?

 A) 25 B) 26 C) 27 D) 28

Explanation:

This can be easily simplified by Approximation process

Given 39.96% of 649.85 $÷$13.07 = 45.14 - ? can be written as

40% of 650 $÷$13 = 45 - ?

0 242
Q:

Simplify the fraction?

5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)

 A) -4 (1/17) B) 5 (2/17) C) -2 (1/17) D) 3 (3/17)

Explanation:

Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)

It can be written as

(5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? +  3 (1/17)

-1 + 0 - 3 (1/17) = ?

=> ? = -4 (1/17)

2 283
Q:

5 + 2 x 10/2 = ?

 A) 15 B) 35 C) 10 D) 20

Explanation:

Using BODMAS Rule,

First solve division, mutiplication and Addition

So here 10/2 = 5

Then 2 x 5 =  10

Now, 5 + 10 = 15.

Hence, 5 + 2 x 10/2 = 15.

4 472
Q:

Simplify the following :

 A) 10 B) 24 C) 36 D) 40

Explanation:

Given equation can be written as

0 384
Q:

Simplify the following expression?

40% of () = 48

 A) 24 B) 22 C) 20 D) 18

Explanation:

We know that

1 375
Q:

Derivative of sinx by first principle?

 A) -sinx B) -cosx C) cosx D) sinx

Explanation:

Thus, the derivative of sinx by first principle is cosx.

2 406
Q:

Simplify the following and find the value of ?

 A) 1134 B) 1237 C) 1187 D) 1249

Explanation:

5 1000
Q:

Simplify

 A) 10 47/60 B) 11 45/73 C) 11 47/36 D) 10 35/48