SSC MTS 19th August 2019 Shift-3

Instructions

For the following questions answer them individually

Question 61

The average of 20 numbers is 80. The average of the first 10 numbers is 76.5 and that of the next 7 numbers is 82. The $$18^{th}$$ number is 3 more than the $$19^{th}$$ number but 3 less than the $$20^{th}$$ number. What is the average of $$18^{th}$$ and $$19^{th}$$ numbers?

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Question 62

A train X travelling at 72 km/h crosses another train Y travelling at 63 km/h (in opposite direction) in 18 seconds. If the length of train Y is two-third the length of X, then the length of train X is:

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Question 63

A sphere is inscribed in a cube. What is the ratio of the volume of the cube to the volume of the sphere?

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Question 64

The given Bar Graph presents the Export of Tea and Coffee (in million kg) for the years 2012 to 2016.

What is the ratio of total export of tea in 2012, 2014 and 2015 to the total export of coffee in 2013 and 2014?

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Question 65

A can do a piece of work in 15 days and B can do it in $$22\frac{1}{2}$$ days. They worked together for 6 days and the remaining work was completed by C alone in 6 days. A, B and C together will do the same work in:

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Question 66

The radius of a solid right circular cylinder is $$66\frac{2}{3}\%$$ of its height. If the height is 'h' centimeters then its total surface area(in $$cm^2$$)is:

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Question 67

Let x be the median of data: 33, 42, 28, 49, 32, 37, 52, 57, 35, 41.
If 32 is replaced by 36 and 41 by 63, then the median of the data, so obtained, is y. What is the value of (x + y)?

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Question 68

The value of $$\left(8 \div \frac{2}{3}  of  \frac{4}{5 }\right) \div \left(8 \times \frac{2}{3} \div \frac{4}{5}\right)  of  \left(8 \div \frac{2}{3} \times \frac{4}{5}\right)$$ is:

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Question 69

What is the area (in m$$^2$$) of a triangular field whose sides measure 25 m, 39 m and 56 m?

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Question 70

A shopkeeper allows 10% discount on the marked price of an article and still makes a profit of 8%. If the marked price is ₹480, then what is the cost price (in ₹)of the article?

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