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With the given interchanges, which of the following equations is correct? Interchange + and × and numbers 4 and 6.
Question

With the given interchanges, which of the following equations is correct?
Interchange + and × and numbers 4 and 6.

A.

4 + 6 ÷ 3 – 3 × 2 = 13

B.

4 + 6 ÷ 3 –3 × 2 = 12

C.

4 + 6 ÷ 3 – 3 × 2 = 11

D.

4 + 6 ÷ 3 – 3 × 2 = 7

Correct option is D

Given:
Interchange "+" with "×"
Interchange numbers 4 and 6.
Option (a): 4 + 6 ÷ 3 – 3 × 2 = 13
After interchanging:
6 × 4 ÷ 3 – 3 + 2 = 13
6 × 4/3– 3 + 2 = 13
8 – 3 + 2 = 13
10 – 3 = 13
7 ≠ 13
This does not equal 13, so (a) is incorrect.
Option (b): 4 + 6 ÷ 3 – 3 × 2 = 12
After interchanging:
6 × 4 ÷ 3 – 3 + 2 = 12
6 × 4/3– 3 + 2 = 12
8 – 3 + 2 = 12
10 – 3 = 122
7 = 12
7 ≠ 12
This does not equal 12, so (b) is incorrect.
Option (c): 4 + 6 ÷ 3 – 3 × 2 = 11
After interchanging:
6 × 4 ÷ 3 – 3 + 2 = 11
6 × 4/3 – 3 + 2 = 11
8 – 3 + 2= 11
10 – 3 = 11
7 ≠ 11
This does not equal 11, so (c) is incorrect.
Option (d): 4 + 6 ÷ 3 – 3 × 2 = 7
After interchanging:
6 × 4 ÷ 3 – 3 + 2 = 7
6 × 4/3– 3 + 2 = 7
8 – 3 + 2 = 7
10 – 3 = 7
7 = 7
This is correct, so (d) is the right answer.

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