Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
78 * 39 * 46 * 5 * 10 * 2
$\div$, +, =, ×, –
Balancing the Equation with Mathematical Signs
The objective is to find the correct sequence of mathematical signs to replace the asterisks (*) in the equation $78 * 39 * 46 * 5 * 10 * 2$ to make it a balanced equation.
Evaluating the Correct Sign Combination
We test the combination provided in Option A, which includes the signs: $\div$, +, =, ×, –.
Substituting these signs sequentially into the given expression results in the equation:
$78 \div 39 + 46 = 5 \times 10 - 2$
Step-by-Step Verification
We verify this equation using the standard order of operations (PEMDAS/BODMAS):
Left Hand Side (LHS) Calculation
- First, perform the division: $78 \div 39 = 2$.
- Next, perform the addition: $2 + 46 = 48$.
- The result of the LHS is 48.
Right Hand Side (RHS) Calculation
- First, perform the multiplication: $5 \times 10 = 50$.
- Next, perform the subtraction: $50 - 2 = 48$.
- The result of the RHS is 48.
Conclusion
Comparing the LHS and RHS, we find that $48 = 48$. The equation is balanced.
Thus, the correct combination of mathematical signs is $\div$, +, =, ×, –.
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.)
