SSC CHSL 13th October 2020 Shift-2

Instructions

For the following questions answer them individually

Question 61

The following graph gives the details of the male and female population (in thousands) across five places A, B, C, D and E.

Based on the information, the total number of females in all five places is approximately what percentage of the total number of males in all five places?

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Question 62

The distance between the places H and O is D units. The average speed that gets a person from H to O in a stipulated time is S units. He takes 20 minutes more time than usual if he travels at 60 km/h, and reaches 44 minutes early if he travels at 75 km/h. The sum of the numerical values of D and S is:

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Question 63

If A = $$\frac{(0.1)^3 + (0.2)^3 + (0.3)^3 + 3(0.005 + 0.016 + 0.027) + 0.036}{(0.1)^2 + (0.2)^2 + (0.3)^2 + 0.04 + 0.06 + 0.12}$$, then the value of 60A is:

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Question 64

If $$\cos A, \sin A,\cot A$$ are in geometric progression, then the value of $$\tan^6 A - \tan^2 A$$ is:

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Question 65

An oil merchant wants to make a minimum profit of ₹2,100 by selling 50 litres of oil he purchased at ₹236 per litre. For this, he adds a few litres of duplicate oil whose cost price is ₹180 per litre and sells at ₹250 per litre. How many litres of duplicate oil is needed for this purpose?

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Question 66

A triangle has sides 25, 39, 34 units. If the area of a square exceeds the area of this triangle by 21 units, then the side of the square is:

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Question 67

If $$\frac{(1 + \sin \theta - \cos \theta)}{(1 + \sin \theta + \cos \theta)} + \frac{(1 + \sin \theta + \cos \theta)}{(1 + \sin \theta - \cos \theta)} = 4$$, then which of the following values will be suitable for $$\theta$$

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Question 68

The numbers 24, 45, a, 35, 59, 83, 46, b, 29, 74 are serially numbered as they appear in the sequence. When each number is added to its serial number, then the average of the new numbers formed is 55. The average ofthe missing numbers(a and b) is:

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Question 69

The ratio of a man’s age to his father’s age is 4 : 5, and the ratio of his age to his son’s age is 6 : 1. Four years ago these ratios were 11 : 14 and 11 : 1, respectively. The ratio of the age of the grand father to that of the grandson 12 years from now will be:

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Question 70

A sphere is placed in a cube so that it touches all the faces of the cube. If 'a’ is the ratio of the volume of the cube to the volume of the sphere, and 'b' is the ratio of the surface area of the sphere to the surface area of the cube, then the value of ab is:

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