Instructions

For the following questions answer them individually

Question 141

The average of 20 numbers is 65. The average of the first 9 numbers is 68 and the average of next 8 numbers is 62. If the $$18^{th}$$ number is 3 more than $$19^{th}$$ number and 9 less than $$20^{th}$$ number. then what is the average of $$19^{th}$$ and $$20^{th}$$ number?

Question 142

The length of shadow of a vertical pole on the ground is 24 m. If the angle of elevation of the sun at that time is $$\theta$$, such that $$\sin \theta = \frac{5}{13}$$ , then what is the height of the pole?

Question 143

A sum of â‚¹ 10,200 is invested partly at 8% per annum and remaining at 6% per annum for 3 years at simple interest. If the total interest is â‚¹ 2,124, how much money was invested at 6% per annum?

Question 144

The radius of a cylinder is increased by 60% and radius of base is decreased by 20%. What is percentage increase in itâ€™s volume?

Question 145

$$PA$$ and $$PB$$ are two tangents from a point $$P$$ outside the circle with centre $$O$$. If $$A$$ and $$B$$ are points on the circle such that $$\angle APB = 110^\circ$$, then $$\angle OAB$$ is equal to:

Question 149

In an examination, 47% passed in science and 51% failed in mathematics. If 42% failed in both subjects, what percentage passed in both subjects?

Question 150

$$ABCD$$ is a cyclic quadrilateral such that $$AB$$ is a diameter of the circle circumscribing it and $$\angle ADC = 160^\circ$$. What is the measure of the $$\angle BAC$$?

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