Select the number that will come in the place of the question mark(?), if '+' and ' - ' are interchanged and 'x' and '÷' are interchanged? 42 x 7 ÷ 13 - 67 + 13 = ?
132
To solve this question, we need to follow the given instructions: interchange '+' and '−', and interchange '×' and '÷'. The given equation is:
42 × 7 ÷ 13 − 67 + 13 = ?
After interchanging the signs, the equation becomes:
42 ÷ 7 × 13 + 67 − 13 = ?
Now, we follow the order of operations (BODMAS/PEMDAS): Division first, then multiplication, then addition, and finally subtraction.
- Division: 42 ÷ 7 = 6
- Multiplication: 6 × 13 = 78
- Addition: 78 + 67 = 145
- Subtraction: 145 − 13 = 132
Therefore, the answer is 132.
The step-by-step solution demonstrates the correct application of the BODMAS rule after the interchanging of the arithmetic operators. The order of operations dictates that division and multiplication should be done before addition and subtraction. The intermediate steps showcase how each operation is performed sequentially, leading to the final correct answer. Careful attention to the order of operations is crucial for solving arithmetic expressions correctly, especially when dealing with multiple operations of different priorities. Understanding the concept of BODMAS/PEMDAS is fundamental for solving many mathematical problems.
Similar Questions
If + means x, x means -, ÷ means +, and - means ÷, what will be the value of the given expression?
15 - 3 ÷ 25 × 7 + 3
In this question, two statements are followed by four conclusions given as options. Decide which conclusion is definitely true, based on the given statements.
Statements:
P ≤ Q <R <S
T > S > V ≥ W
If 'A' stands for '+', 'B' stands for '-', 'C' stands for 'x' and 'D' stands for '÷' what will come in place of the question mark in the following equation?
60 D 10 A 4 C 6 B 25 = ?
What will come in place of the '?' in the following equation, if '+' and '-' are interchanged and 'x' and '÷' are interchanged?
56 +12 - 54 x 18 ÷ 6 = ?
Important Questions from Maths Operations
Consider the following arrangement that has some missing letters: abab_b_bcb_dcdcded_d The missing letters which complete the arrangement are
Let A3BC and DE2F be four-digit numbers where each letter represents a different digit greater than 3. If the sum of the numbers is 15902, then what is the difference between the values of A and D?
How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?
Let x, y be the volumes; m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and mass of Q is two times that of P. Let u = m / x and V = n / y. which one or the following is correct?
The recurring decimal representation 1.272727... is equivalent to
