Question Details

Simplify the following expression.


(60+64÷4 of 4)×{1000÷((10 of (3+2))×2 of 5)}28+(100×3 of 3).

Options

A

1000

B

100

C

500

D

600

Show Answer

Correct Answer :

Option A

1000

1000

Solution :

To simplify the given expression, we follow the BODMAS rule, which determines the order of operations: Brackets, Of, Division, Multiplication, Addition, and Subtraction.

The given expression is:

(60+64÷4 of 4)×{1000÷((10 of (3+2))×2 of 5)}28+(100×3 of 3)

Let us simplify each part of the expression step-by-step:

Step 1: Simplify the first bracket (60+64÷4 of 4)
According to BODMAS, we evaluate "of" before division and addition:
4 of 4=4×4=16
Now, perform the division:
64÷16=4
Finally, add 60:
60+4=64

Step 2: Simplify the term inside curly brackets {1000÷((10 of (3+2))×2 of 5)}
First, evaluate the innermost bracket:
3+2=5
This gives us:
{1000÷((10 of 5)×2 of 5)}
Next, evaluate the "of" terms inside the parentheses:
10 of 5=10×5=50
2 of 5=2×5=10
Now multiply these results:
50×10=500
Now divide 1000 by 500:
1000÷500=2

Step 3: Simplify the third bracket (100×3 of 3)
Evaluate "of" first:
3 of 3=3×3=9
Now perform the multiplication:
100×9=900

Step 4: Combine the simplified parts back into the expression
Substituting the values obtained from Steps 1, 2, and 3 back into the main expression:
64×228+900
Perform the multiplication first:
12828+900
Next, perform subtraction and addition from left to right:
12828=100
100+900=1000

The correct answer is 1000.

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