Which combination of mathematical signs given in the options will sequentially replace the * signs in the following equation to balance it? 200 * 2 * 10 * 8 * 40 * 20
÷,=,×,+,-
Balancing the Equation
The question asks to find the correct sequence of mathematical signs to replace the asterisks (*) in the equation: $200 * 2 * 10 * 8 * 40 * 20$ to make it balanced.
Testing the Operator Sequence
We test the sequence provided in Option B: $÷, =, ×, +, -$.
- Substitute the operators into the equation: $200 \div 2 = 10 \times 8 + 40 - 20$
- Evaluate the Left Hand Side (LHS): $LHS = 200 \div 2 = 100$
- Evaluate the Right Hand Side (RHS) following the order of operations (multiplication first, then addition/subtraction from left to right):
- Multiplication: $10 \times 8 = 80$
- The equation becomes: $80 + 40 - 20$
- Addition: $80 + 40 = 120$
- Subtraction: $120 - 20 = 100$
- So, $RHS = 100$
- Compare LHS and RHS: $100 = 100$
Since the LHS equals the RHS, this sequence of operators correctly balances the equation.
Important Questions from Mathematical Operations
What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
18 ÷ 9 + 24 × 3 − 16 = ?If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
88 B 3 D 12 A 4 C 6 = ?Select the set in which the numbers are related in the same way as are the numbers of the given sets.
(NOTE: Operations should be performed on whole numbers without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Given sets:
(9, 21, 193)
(12, 15, 184)What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
44 ÷ 78 + 6 − 3 × 19 = ?Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
