Mathematical Operations - 2 - Free MCQ Practice Test with solutions, CUET

• First, perform the division: 5068 / 28.
• Estimate by dividing: 5000/30=166.67(approximation for quicker calculation)
• Exact division: 5068 / 28 = 181.
• Next, multiply the result by 4: 181 x 4 = 724.
• Therefore, the correct answer is A: 724.

Let the number of buffaloes be x and number of ducks be y.
Now, number of heads = x + y
Number of legs = 4x + 2y  .......(1) 
But given that legs = 2(x + y) + 24 ......(2)
solving (1) & (2),we get
4x + 2y = 2x + 2y + 24 
--> x = 12.
Therefore number of buffaloes =12

Correct answer: A.

Interchanging '+' and 'x' makes the middle operations evaluate as 12 × 40 ÷ 40 = 12.

Then the remaining arithmetic gives 15 + 12 - 6 = 21, which matches the right-hand side.

Therefore, swapping '+' and 'x' makes the equation correct, so option A is the right choice.

Given Symbol Replacements:

• + means subtraction

• ÷ means addition

• < means multiplication

• > means division

Original Expression:

9 ÷ 7 < 8 > (4 > 2) + 5

Step 1: Replace Symbols with Actual Operations

Using the given meanings:

• 9 ÷ 7 becomes 9 + 7

• 7 < 8 becomes 7 × 8

• 8 > (4 > 2) becomes 8 ÷ (4 ÷ 2)

• (4 > 2) becomes 4 ÷ 2 → 2

• + 5 becomes - 5

So the expression becomes:
9 + 7 × 8 ÷ 2 - 5

Step 2: Apply BODMAS Rule (Order of Operations)

1. Multiply and divide from left to right:

   • 7 × 8 = 56

   • 56 ÷ 2 = 28

2. Now the expression is:

   • 9 + 28 - 5

3. Perform addition and subtraction:

   • 9 + 28 = 37

   • 37 - 5 = 32

Final Answer:

32

In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms. 

Now x² + x² = 2x²

Hence, x-squared plus x-squared is equal to 2 times x squared.

On interchanging - and /, we get the equation as

5 + 3 x 8 / 12 - 4 = 3

or 5 + 3 x (2/3) - 4 = 3

or 3 = 3, which is true.