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SSC CHSL 2021 PYQ — Question 68

SSC CHSL - 12 April 2021 - Shift 3 • Quantitative Aptitude • Q68

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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 nine-digit number 1263487xy is divisible by both 8 and 5 then, the greatest possible values of x and y, respectively, are:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 6 and 0.

To be divisible by 8, the number formed by the last three digits of the number should be divisible by 8

To be divisible by 5, the last digit of the number must end with 0 or 5

For y = 5, 0

If we put y = 5, the number becomes odd. An odd number is not divisible by 8

So, the value of y must be 0

For x = 1, 2, 3, 4, 5, 6, 7, 8, 9

By taking x = 1, 3, 4, 5, 7, 8, 9 and it leaves remainders when the last three digits are divided by 8

Hence, x cannot take these numbers

By putting x = 2 or 6 and dividing the last three digits by 8, the remainder becomes 0

But for the maximum value of x, we put x = 6

Hence, x = 6 and y = 0