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SSC MTS 2022 PYQ — Question 56

SSC MTS - 25 July 2022 - Shift 2 • Quantitative Aptitude • Q56

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The value of  23×65×104+18−38\dfrac{2}{3}\times \dfrac{6}{5} \times \dfrac{10}{4}+\dfrac{1}{8}-\dfrac{3}{8} is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 7/4

Let's start by simplifying the multiplication first:

2/3 × 6/5 × 10/4 = (2 × 6 ×10) / (3 × 5 × 4) = 120 / 60 = 2

Now we can substitute this value into the original expression:

2 + 1/8 - 3/8

To simplify addition/subtraction, we need to find a common denominator for the fractions. The common denominator of 8 is 8 itself, so we don't need to convert any fractions:

2 + (1 - 3)/8 = 2 - 2/8 = 2 - 1/4

Finally, we can convert the mixed number to an improper fraction:

2 - 1/4 = 8/4 - 1/4 = 7/4

Therefore, the simplified value of the expression is 7/4.