If \(+\) means \(\times\), \(\div\) means- , - means \(\div\) then, and \(\times\) means \(+\), then
what is \(150\times25-5\div10+2\)?
135
Solving Math Expressions with Operator Substitution
This question involves evaluating a mathematical expression where the standard arithmetic operators (+, -, ×, ÷) have been assigned new meanings. We need to apply these new rules and follow the order of operations (BODMAS/PEMDAS) to find the correct answer.
Understanding the Operator Substitution Rules
The problem provides the following substitutions:
- The symbol $+$ actually means multiplication ($×$).
- The symbol $÷$ actually means subtraction ($-$).
- The symbol $-$ actually means division ($÷$).
- The symbol $×$ actually means addition ($+$).
Applying the Substitutions to the Expression
The original expression is:
$150 \times 25 - 5 \div 10 + 2$
Now, let's substitute the operators according to the given rules:
- Replace $×$ with $+$
- Replace $-$ with $÷$
- Replace $÷$ with $-$
- Replace $+$ with $×$
Applying these changes, the expression becomes:
$150 + 25 \div 5 - 10 \times 2$
Evaluating the New Expression using BODMAS
We follow the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction) to evaluate the expression:
- Division: First, perform the division. $25 \div 5 = 5$ The expression now is: $150 + 5 - 10 \times 2$
- Multiplication: Next, perform the multiplication. $10 \times 2 = 20$ The expression now is: $150 + 5 - 20$
- Addition: Perform addition from left to right. $150 + 5 = 155$ The expression now is: $155 - 20$
- Subtraction: Finally, perform the subtraction. $155 - 20 = 135$
Final Result
After applying the operator substitutions and following the BODMAS order of operations, the value of the expression is 135.
Similar Questions
- A bag has 4 red and 6 blue balls. What is the probability of drawing a red ball?
- A bag has 4 fair coins (1 head 1 tail) and 4 double-headed coins. A coin is drawn and flipped 3 times all heads. Probability it's double-headed?
Criteria to be selected as Field Officer (as on 01-01-2024):
Graduate in Agriculture or Environmental Science with at least 65% marks.
Age between 23 and 35 years.
Must have a valid driving license.
Should have field experience of at least 2 years.
Special Clause:
If candidate has no driving license but more than 4 years of field experience, refer to Regional Head.
Case:
Shalini is 29 years old, has 68% in Environmental Science, 5 years of field work, but does not hold a driving license.
Question: What should be done in Shalini's case?Criteria to be selected as Lab Assistant (as on 01-03-2024):
Must have a Diploma in Lab Technology with at least 60% marks.
Age must be 21 to 28 years.
Should have minimum 1 year practical lab experience.
Must be willing to work in night shifts.
Special Clause:
If the candidate has 70% in Diploma but only 6 months of experience, refer to Chief Lab Supervisor.
Case:
Irfan is 22 years old, has 72% in Lab Diploma, 6 months of experience, and agrees to night shifts.
Question: What should be done in Irfan's case?Which figure comes next in the series?
- Which two signs and two numbers should be interchanged in the equation given below to make the following equation correct?
\(10+4-5\times2=19\)
Important Questions from Probability
Two dice are thrown simultaneously. What is the probability of getting the same number on both the dice?
The probability of being 53 Sundays in year 2020 is-
Three dice are thrown randomly. The probability of coming 3 in at least one die is
The probability of having 53 Tuesdays in an ordinary year is:
When two dice are tossed simultaneously, the probability that the sum of the numbers appearing on both the dice is 8 will be
