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SSC Selection Post 2020 PYQ — Question 69

SSC Selection Post - Matriculation Level 2020 - 9 Nov 2020 - Shift 1 • Quantitative Aptitude • Q69

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When ‘p’ is subtracted from each of 18, 15, 23 and 16, then the numbers so obtained in this order are in proportion. What is the value of (p – 141\over4)?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 14.

18−p15−p=23−p16−p\frac{18 - p}{15 - p} = \frac{23 - p}{16 - p}

288−34p+p2=345−38p+p2 288 - 34p + p^2 = 345 - 38p + p^2

288−34p=345−38p288 - 34p = 345 - 38p

p=574p = \frac{57}{4}

p−14=574−14=564=14p - \frac{1}{4} = \frac{57}{4} - \frac{1}{4} = \frac{56}{4} = 14