Question 1

The value of -4-(-10) is how much greater then the value of -10-(-4) ?

Accepted Answer

-4-(-10) = -4+10 = 6 -10-(-4) = -10+4= -6 Therefore, 6-(-6) = 6+6 = 12

Question 2

Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3 ? A) 3x2+5x+2=0 B) 5x2+3x+2=0 C) 3x2-5x-2=0 D) None

Accepted Answer

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

Question 3

The last two digits of 2151415 ?

Accepted Answer

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.

Question 4

Find the Value of ? 5.112.2+5.553.3+6.31.4+7.22.001 = ? x 3.34

Accepted Answer

This can be done in a method called Approximation. Now, 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

Question 5

Can you Solve 7 + 7 ÷ 7 + 7 x 7 + 7 - 7 ÷ 7 + 7 x 7 =

Accepted Answer

7 + 7 ÷ 7 + 7 x 7 + 7 - 7 ÷ 7 + 7 x 7 = 7 + 1 + 49 + 7 - 1 + 49 = 8 + 56 + 48 = 56 + 56 = 112

Question 6

3 x 3 + 3 - 3 + 3 = ?

Accepted Answer

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.

Question 7

5068 / 37 x 4 = ?

Accepted Answer

? = 5068 x 4/37 ? = 548

Question 8

What is 7 + 7 ÷ 7 + 7 × 7 - 7 =

Accepted Answer

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.

Question 9

What is the value of P in the following Equation ? 192.5 × 19p = 197

Accepted Answer

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

Question 10

X2+X2 =

Accepted Answer

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 .

Question 11

5x - 6 = 3x - 8 Solve the above equation.

Accepted Answer

Given 5x - 6 = 3x - 8 5x - 3x = -8 + 6 2x = -2 => x = -1.

Question 12

1/2 - 1/8 =

Accepted Answer

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.

Question 13

If 324⊕289 = 35, 441⊕484 = 43, then 625⊕400 = ?

Accepted Answer

143

Question 14

If '+' means subtraction, '÷' means addition, '<' means multiplication and '>' means division, then find the value of the given statement, The value of 9 ÷ 7 < 8 > (4>2) + 5 will be

Accepted Answer

32

Question 15

What is x squared plus x squared?

Accepted Answer

In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms. Now x^2 + x^2 = 2x^2 Hence, x-squared plus x-squared is equal to 2 times x squared.

Question 16

If "÷" denotes "multiplied by", "+" denotes "subtracted from", "x" denotes "added to" and "–" denotes "divided by",then 12 – 6 + 28 x 3 ÷ 9 = ?

Accepted Answer

1

Question 17

In a certain code language, '-' represents 'x', '÷' represents '+', '+' represents '÷' and 'x' represents '-'. Find out the answer to the following question.19 ÷ 2 - 35 + 10 x 6 = ?

Accepted Answer

20

Question 18

If 17 + 17 = 2895 18 + 18 = 3245 19 + 19 = 3615 then 23 + 23 = ?

Accepted Answer

5295

Question 19

In a certain code language, '÷' represents '+', '-' represents 'x', '+' represents '÷' and 'x' represents '-'. Find out the answer to the followingquestion. 8 ÷ 14 - 20 + 5 x 2 = ?

Accepted Answer

62

Question 20

If 3 # 4 % 8 = 6 and 9 % 4 # 3 = 12, then 12 % 6 # 24 = ?

Accepted Answer

3

Mathematical Operations Questions