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UPTET Paper 1 2018 Solved Paper

Question : 115 of 150

Marks: +1, -0

(1\frac{1}{2}+11\frac{1}{2}+111+\frac{1}{2}+1111\frac{1}{2})

is equal to

Solution:

Concept:

Convert each mixed number into an integer part plus one half. Then sum all integer parts separately and all half parts separately.

Explanation:

Each term is of the form

n\frac{1}{2} = n + \frac{1}{2}

So the sum is:

(1+\frac{1}{2}) + (11+\frac{1}{2}) + (111+\frac{1}{2}) + (1111+\frac{1}{2})

First, add the four halves:

4 \times \frac{1}{2} = 2

Next, add the whole numbers:

1 + 11 + 111 + 1111 = 1234

Total sum =

1234 + 2 = 1236

Answer:

A. 1236

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