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SSC CHSL 2021 PYQ — Question 55

SSC CHSL - 12 April 2021 - Shift 3 • Quantitative Aptitude • Q55

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Comprehension:
In the following passage, some words have been deleted. Select the most appropriate option
to fill in each blank.
In the 19th century, there was an industrial revolution in Europe. As a result, millions of people
left the (1) ______ and went to work in big factories in cities. Today, it is the reverse. In several
major cities, people have started moving out. Why? They want a cleaner, (2) ______
environment. There are fewer jobs in ‘heavy’ industries like steel and power generation. (3)
______, there are more jobs in service industries like banking, tourism and food delivery.
Besides, modern transport and communications have made it easier for people to (4) ______
to work or even work from home. The result of this revolution in the 21st century will be
‘spread cities’ – cities are growing fast, but (5) ______, away from city centres and people are
choosing to live 40, 50 or 60 kilometres away.

If a and b are the lengths of two sides of a triangle such that the product ab=24, where a and b are integers, then how many such triangles are possible?

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Correct answer: A

Explanation

The correct answer in option 1 i.e. 16.

Product of two sides a and b = 24 

Since it is given that ab = 24, we can have different possible values of a and b such as:

⇒ 1 × 24 : (24 - 1) < c < ( 24 + 1), c = 24

⇒ 2 × 12 : (12 - 2) < c < ( 12 + 2), c = 11, 12, 13

⇒ 3 × 8 : (8 - 3) < c < ( 8 + 3), c = 6, 7, 8, 9, 10

⇒ 4 × 6 : (6 - 4) < c < ( 6 + 4), c = 3, 4, 5, 6, 7, 8, 9

By observing the given conditions, the third side, C can take 16 different values.