What will come in the place of the question mark ‘(?)’ in the following equation, if ‘÷’ and ‘×' are interchanged and ‘and '+' and '-' are interchanged? 50-9 ÷1 + 63 ×7 =?

Challenger App

Mental Ability/

No.1 PSC Learning App

★

★

★

★

★

1M+ Downloads

What will come in the place of the question mark ‘(?)’ in the following equation, if ‘÷’ and ‘×' are interchanged and ‘and '+' and '-' are interchanged?

50-9 ÷1 + 63 ×7 =?

A53

B52

C51

D50

Answer:

D. 50

Read Explanation:

Understanding the Equation Transformation

The problem involves a substitution cipher for mathematical operators. We are given an equation and a set of rules for interchanging operators.

Interchange Rules:

The division symbol '÷' is interchanged with the multiplication symbol '×'.
The addition symbol '+' is interchanged with the subtraction symbol '-'.

Original Equation:

50 - 9 ÷ 1 + 63 × 7 = ?

Applying the Interchange Rules:

Replace '-' with '+': The first operator '-' becomes '+'.
Replace '÷' with '×': The second operator '÷' becomes '×'.
Replace '+' with '-': The third operator '+' becomes '-'.
Replace '×' with '÷': The fourth operator '×' becomes '÷'.

Transformed Equation:

Following the replacements, the equation becomes:

50 + 9 × 1 - 63 ÷ 7 = ?

Solving the Transformed Equation using BODMAS/PEMDAS Rule:

The order of operations (BODMAS/PEMDAS) dictates the sequence in which calculations should be performed:

Brackets / Parentheses
Orders / Exponents
Division and Multiplication (from left to right)
Addition and Subtraction (from left to right)

Division: 63 ÷ 7 = 8
Multiplication: 9 × 1 = 9

The equation now is: 50 + 9 - 8 = ?

Addition: 50 + 9 = 59
Subtraction: 59 - 8 = 51

Result:

The value that comes in place of the question mark is 51.

Read more in App

Related Questions:

Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
1. Some caps are shirts.
2. Some shirts are coats.
Conclusions:
I. No coat is cap.
II. No coat is shirt.
III. Some coats are caps.

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statement:

All Trains are Bus

No Bus are Trunk

Some Trunk are Cars

Conclusion:

I. Some Cars are not Bus

II. No Trains is Car

Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

No plant is a tree.

All ornaments are plants.

Conclusions:

I. no ornament is a tree.

II. Some plants are ornaments.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some flowers are snakes. All buttons are cats. All snakes are cats. Conclusions: (I) Some buttons are snakes. (II) Some flowers are buttons.

Directions: In the question below, there are three statements followed by two conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follow(s) from the given statements.

Statements:

I. All reds are whites.

II. All whites are oranges.

III. All blues are reds.

Conclusion:

I. All whites are reds.

II. All reds are oranges.