Home
Class 14
MATHS
In the following equation, if the mathem...

In the following equation, if the mathematical operators '-' and '`xx`' are interchanged then the value of `4-6 +1 xx 15 div 3` will be
A. 24
B. 20
C. -5
D. -4

A

D

B

B

C

C

D

A

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to follow the instructions given in the question regarding the interchange of mathematical operators. The original expression is: **Original Expression:** \[ 4 - 6 + 1 \times 15 \div 3 \] ### Step 1: Interchange Operators We need to interchange the '-' (minus) and '×' (multiply) operators. Thus, the expression becomes: **New Expression:** \[ 4 \times 6 + 1 - 15 \div 3 \] ### Step 2: Apply BODMAS/BIDMAS Rules According to the BODMAS/BIDMAS rules, we perform operations in the following order: Brackets, Orders (i.e., powers and roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). 1. **Division:** First, we perform the division \( 15 \div 3 \): \[ 15 \div 3 = 5 \] Now, the expression is: \[ 4 \times 6 + 1 - 5 \] 2. **Multiplication:** Next, we perform the multiplication \( 4 \times 6 \): \[ 4 \times 6 = 24 \] Now, the expression is: \[ 24 + 1 - 5 \] 3. **Addition:** Now, we perform the addition \( 24 + 1 \): \[ 24 + 1 = 25 \] Now, the expression is: \[ 25 - 5 \] 4. **Subtraction:** Finally, we perform the subtraction \( 25 - 5 \): \[ 25 - 5 = 20 \] ### Final Answer The value of the expression after interchanging the operators is: \[ \text{Answer} = 20 \] ### Conclusion The correct option is **B. 20**.
Promotional Banner

Similar Questions

Explore conceptually related problems

If mathematical operators − and ÷ are interchanged, then the value of 15xx4+15-11xx33-:98 is A. 6 B. 7 C. 8 D. 9

If signs - and xx , and numbers 5 and 14 are interchanged, then the value of 5 + 4 div 2 - 8 xx 14 is A. 15 B. 20 C. 25 D. 30

If the mathematical operator + means 'xx','+' means '-','xx' means + and - means div , then 25 + 18-3xx7 div 3 = ? A.25 B.21 C. 19 D. 40.

If the mathematical operator, '+' means 'xx', 'div' means '- ','- ' means '+', and 'xx' means 'div' , then the value of 11 + 14 xx 7-5 div 29 is A. -5 B. -12 C. -7 D. -2

The following equation is incorrect. Which two signs should be interchanged to correct the equation ? 10 xx 4 + 5 -30 div 6 = 31