Mathematical Operations Question and Answers

Question 1

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

Accepted Answer

4 - 8 + 12 = 0

Answer

The question requires applying two sets of interchanges to the given options: swapping '+' and '-' signs, and swapping '4' and '8' digits. For the correct option, `4 - 8 + 12 = 0`, applying these interchanges transforms it into `8 + 4 - 12 = 0`. Calculating this new equation, `8 + 4` equals `12`, and `12 - 12` equals `0`. This makes the statement `0 = 0` true, confirming the validity of option C after the specified swaps.

Question 2

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

Accepted Answer

"-" and /

Answer

To make the equation `5 + 3 x 8 - 12 / 4 = 3` accurate, we need to swap the '-' and '/' signs. This transforms the equation into `5 + 3 x 8 / 12 - 4 = 3`. Following the order of operations, `3 x 8` is `24`, and `24 / 12` is `2`. The equation then simplifies to `5 + 2 - 4 = 3`, which correctly evaluates to `7 - 4 = 3`, making the statement `3 = 3` true.

Question 3

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

Accepted Answer

A + C = B + D

Answer

To find the correct relationship, add the two given equations: (A + B) + (C + D) = 2C + 2A. This simplifies to A + B + C + D = 2A + 2C. Subtracting A and C from both sides yields B + D = A + C. This matches option D, demonstrating the equivalence of the two expressions.

Question 4

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

Accepted Answer

-, +, x

Answer

To solve the equation 5 _ 0 _ 3 _ 5 = 20, we need to test the given symbol combinations while following the order of operations (multiplication before addition/subtraction). For option A, substituting the symbols gives 5 - 0 + 3 x 5. First, calculate 3 x 5 = 15. Then, perform the subtraction and addition from left to right: 5 - 0 = 5, and 5 + 15 = 20. This correctly matches the target value.

Question 5

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

Accepted Answer

24

Answer

First, substitute the new operations into the expression: 20 + 8 - 8 ÷ 4 × 2. Next, follow the order of operations (PEMDAS/BODMAS). Perform division first: 8 ÷ 4 = 2. Then, perform multiplication: 2 × 2 = 4. Finally, perform addition and subtraction from left to right: 20 + 8 = 28, and 28 - 4 = 24. Thus, the result is 24.

Wechsler Test Practice Test

Wechsler Test Practice Test

Mathematical Operations Question and Answers