SSC MTS 8th October 2021 Shift-1

Instructions

For the following questions answer them individually

Question 61

Which is the largest number that divides 827, 1149 and 1310 to leave the same remainder in each case?

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Question 62

What is the simplified value of $$(8.5-2\frac{1}{2}) \ of \ 16.5-[27.4- \left\{10\frac{1}{4} \ of \ 2.5-(1\frac{1}{2}-1\frac{1}{5}) \right\}]$$ ?

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Question 63

A man is driving to his workplace at five-eighths of his usual speed, He reaches his workplace 36 minutes late, What is his usual time (in hours) of travel?

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Question 64

A metal cube of edge 18 cm is melted to form three smaller cubes, which are unequal in dimensions. If the edges of two smaller cubes are 9 cm and 15 cm, what is the surface area in (in $$cm^{2}$$) of the third smaller cube?

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Question 65

A company produced a new energy drink of three different flavours - P, Q and R - for athletes. The production of the three flavours over a period of six years from 2001 to 2006 has been expressed in the bar graph shown below. Study the graph and answer the question that follows.


What is the percentage (correct to one decimal place) of the total production of flavour Pin 2003 and 2004 with respect to the total production of flavour R in 2001 and 2002?

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Question 66

The average weight of 25 boxes in a boat is increased by 2 kg when one of the boxes weighing 68 kg is replaced by a new box. The weight (in kg) of the new box is:

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Question 67

Four years ago, the average age of a group of five members was 38 years. One more man joins the group and the present average age of the group members becomes 44 years. What is the present age (in years) of the new member'?

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Question 68

A boat sails downstream from a point P to point Q, which is 24 km away from P, and then returns to P. If the actual speed of the boat (in still water) is 6 km/h, the entire trip from P to Q takes 3 hours less than that from Q to P. What should be the actual speed (in km/h) of the boat to sail from P to Q in 2 hours?

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Question 69

A number was divided by 8, instead of being multiplied by 8. As a result of this, there was an error in the answer. What is the percentage difference ( correct to two places of decimal) in the answer due to this miscalculation?

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Question 70

Aman sells 30 apples for the cost price of 40 apples. His profit percentage (correct to two places of decimal) is:

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