What will come in the place of the question mark 39 39 in the following question 5 16 1 8 3 32 3 16 ...........

Quantitative Aptitude (SBI-CL) Simplification

What will come in the place of the question mark '?' in the following question?

5/16 - 1/8 - 3/32 = 3/16 - 1/4 + ?/32

This questions was previously asked in

SBI Clerk Pre 2022 (Shift 2)

Let's solve the equation step by step:

- Convert all fractions to have a common denominator of 32.

- \(5/16 = 10/32\)

- \(1/8 = 4/32\)

- \(3/16 = 6/32\)

- \(1/4 = 8/32\)

- Substitute the values:

- \(10/32 - 4/32 - 3/32 = 6/32 - 8/32 + ?/32\)

- Simplify both sides:

- Left side: \(10/32 - 4/32 - 3/32 = 3/32\)

- Right side: \(6/32 - 8/32 + ?/32 = -2/32 + ?/32\)

- Equate the two sides:

- \(3/32 = -2/32 + ?/32\)

- Solve for ?:

- \(3/32 + 2/32 = ?/32\)

- \(5/32 = ?/32\)

- Therefore, ? = 5

- Based on the options, the correct option is Option:4, 5

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