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UPTET Paper 1 Model Test 5

Section: Mathematics

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Question : 101 of 150

Marks: +1, -0

Simplify :

[5\frac{1}{4}\div {1\frac{1}{4}-\frac{1}{2}(2\frac{1}{2}-\bar{\frac{1}{4}-\frac{1}{6}})}]

66
69
96
126

Solution:

Concept:

Solve expressions with fractions and mixed numbers using BODMAS rule.

Explanation:

First, simplify the bar (vinculum):

\frac{1}{4}-\frac{1}{6}=\frac{3-2}{12}=\frac{1}{12}

.

Next, inside the parentheses:

2\frac{1}{2}-\frac{1}{12}=\frac{5}{2}-\frac{1}{12}=\frac{30-1}{12}=\frac{29}{12}

.

Multiply by

\frac{1}{2}

:

\frac{1}{2}\times\frac{29}{12}=\frac{29}{24}

.

Now subtract from

1\frac{1}{4}

:

\frac{5}{4}-\frac{29}{24}=\frac{30-29}{24}=\frac{1}{24}

.

Finally, divide:

5\frac{1}{4}\div\frac{1}{24}=\frac{21}{4}\times24=21\times6=126

.

Answer:

126 (Option D)

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