FREE Mathematical Operations Question and Answers

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The answer to the equations 3(u + 3v) = 11 uv and 3(2u + v) = 7 uv is _____.

Correct! Wrong!

With the trial-and-error approach,
The solutions for u = 1 and v = 3/2 satisfy both equations.

In the following questions, what should be entered in lieu of the question mark (?)? 3 1/6 + 4 1/2 − 2 2/3 − 1 11/12 =?

Correct! Wrong!

?= (3 + 4 - 2 - 1) + (1/6 + 1/2 - 2/3 - 11/12)
= 4 * [(2+6-8-11)/12]
= 4 - 11/12 = 31/12.

Assuming intercharges: + and x signs, as well as 4 and 5.

Correct! Wrong!

After swapping +, x, and 4 and 5 in (c), we obtain the following equation: It is correct that 4 + 5 x 20 equals 104 or 104 = 104.

Given that A + B = 2C and C + D = 2A,

Correct! Wrong!

Since,
2C = A + B ----(i)
C plus D equals 2A--(ii)
A + B + C + D = 2C + 2A => B + D = A + C is what we obtain by adding (i) and (ii).

Given the definitions of Q, J, T, and K as "add to," "multiply by," "subtract from," and "divide by," what does 30 K 2 Q 3 J 6 T 5 =?

Correct! Wrong!

Employing Accurate Symbols, We've Got: Equation given is 30 / 2 + 3 x 6 - 5 = 15 + 18 - 5 = 28.

Determine which two signs need to be switched in order for the following equation to be accurate. 5 + 3 x 8 - 12 / 4 = 3

Correct! Wrong!

Upon swapping - and /, we obtain the following equation:
5 plus 3 x 8 / 12 - 4 = 3
or 5 + 3 x (2/3) - 4 = 3.
or 3 = 3, which is true.

Interchanges given: + and - signs, 4 and 8.

Correct! Wrong!

After swapping out 4 and 8 and + and - in (b), we obtain the following equation:
12 - 4 + 8 = 0
or 12-12.12 = 0
or 0 = 0, which is true.

12:30:: 14:?

Correct! Wrong!

In this case, 12 x 2.5 = 30
Likewise, 14 x 2.5 = 35

Which collection of symbols should be used to fill in the provided equation? 5 0 3 5 = 20

Correct! Wrong!

It is evident that 5 - 0 + 3 X 5 = 20

Five batsmen (P, Q, R, S, and T) averaged 36 runs in a cricket match. Q scored as many as S and T combined, Q and R scored 107 between them, and S scored five more than T. T, on the other hand, scored eight less than P. How many runs did T score?

Correct! Wrong!

Let a, b, c, d, and e represent the runs that P, Q, R, S, and T scored.
Using the provided data,
a + b + c + d + e = 36 x 5 = 180
b + c = 107
Let a = x
e = x-8
d = x-3
now 3x - 11 + 107 = 180
3x = 84
x = 28
e's score = 28-8 = 20

If × denotes addition, ÷ denotes subtraction, + denotes multiplication, and - denotes division, then 20 × 8 ÷ 8 - 4 + 2 =?

Correct! Wrong!

Given the given data, we can express:
20 - 8 ÷ 4 × 2 = 20 - 8 - 2 × 2 = 20 - 4 = 24.

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