SSC CHSL 12th October 2020 Shift-2

Instructions

For the following questions answer them individually

Question 51

Length and breadth of rectangular field are in the ratio 5 : 2. If the perimeter of the field is 238 m. Find the length of the field.

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Question 52

A man divided his journey into three parts of distances of 18 km, 20 km and 27 km. He travelled the distances at the speeds of 6 km/h, 5 km/h and 9 kn/h,respectively. What was his average speed during the entire journey?

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Question 53

The given graph represents the percentage distribution of the total expenditure of a company. Study the graph and answer the question that follows.

What is the ratio of the total expenditure on ‘Infrastructure’ and 'Transport' to the total expenditure on 'Taxes' and ‘Interest on Loans'?

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Question 54

In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 15 cm, PB = 9 cm, CP = 3 cm, then find the length of PD.

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Question 55

On selling a bike for $$₹2500$$ a seller incurs a loss of 20%. What price would have caused him to lose 30%?

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Question 56

If $$a - b = 4$$ and $$a^3 - b^3 = 88$$, then find the value of $$a^2 - b^2.$$

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Question 57

If x + y + z = 10, $$x^3 + y^3 + z^3 = 75$$ and xyz = 15, then find the value of. $$x^2 + y^2 + z^2 - xy - yz - zx$$

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Question 58

Mohan offers to sell his articles at a discount of 20%, but he marks his articles by increasing the price of each by 35%. What percentage would his gain be?

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Question 59

Find the value of $$\frac{\tan 60^\circ - \tan 15^\circ}{1 + \tan 60^\circ \tan 15^\circ}$$

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Question 60

If $$3 \sec^2 x - 4 = 0$$, then the value of $$x (0 < x < 90^\circ)$$

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