SSC CGL 11 June 2019 Shift-2

Instructions

For the following questions answer them individually

Question 61

Ina class of 40 students, 45% are girls and the remaining are boys.If the average of the girls’ marks is 54 and that of the boys is 46, what is the average of the whole class?

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Question 62

The difference between the compound interest and simple interest on ₹x at 7.5% per annum for 2 years is ₹45. What is the value of x?

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Question 63

Two articles are sold for ₹5,104 each. On one, the seller gains 16% and onthe other, he loses 12%. Whatis his overall gain percent, nearest to two decimal places?

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Question 64

Two chords AB and CD of a circle when produced, meet at a point P outside the circle. If AB = 6 cm, PB = 5 cm, PD = 4 cm, then CD is equalto:

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Question 65

The radii of the two circular faces of the frustum of a cone are 5 cm and 4 cm.If the height of the frustum is 21 cm, what is it volume in cm$$^3$$?

($$\pi = \frac{22}{7}$$)

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Question 66

If (a+b) = 6 and ab = $$\frac{16}{3}$$, then $$(a^3 + b^3)$$ is equal to:

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Question 67

A is 40% more efficient than B and C is 20% less efficient than B. Working together, they can complete a task in 20 hours. In how many hours will A alone complete 35% of that task?

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Question 68

The table below indicates the percentage of students and the ratio of boys and girls in the various streams of a college. (Total students = 2600)

If the data about the number of girls enrolled in the various streams is represented by a pie-chart, what is the central angle of the sector representing the number of girls in the ME stream, to the nearest whole degree?

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Question 69

If a + b + c = 6 and ab + bc + ca = 4, then $$a^3 + b^3 + c^3 - 3 abc$$ is equal to:

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Question 70

The price of sugar is increased by 17%. A person wants to increase his expenditure by 8% only. By what percent should he decrease his consumption, nearest to one decimal place?

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