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SSC CGL 2022 PYQ — Question 56

SSC CGL - 06 Dec 2022 - Shift 1 • Quantitative Aptitude • Q56

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The midpoints of AB and AC of a ∆ABC are X and Y, respectively. If BC + XY = 24 units, then the value of BC - XY is:

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 8 cm.

Mid points of AB and AC are X and Y respectively

BC + XY = 24...................1

If in a triangle ABC the mid-points of AB and AC are X and Y respectively and the line joining X and Y is parallel to BC, then the length of XY is half the length of BC.

XY =  12\frac 1 2 BC  

Put the value of XY in equation 1

BC + XY = 24

BC +  12\frac 1 2 BC = 24

BC = 16

So, XY = 12\frac 1 2 × 16 = 8 

BC - XY = 16 - 8 = 8 cm