Instructions

For the following questions answer them individually

Question 61

Study the given graph and answer the question that follows.

In which year was the percentage increase in the revenue as compared to that in its preceding year below 6%?

Question 62

If $$8 \sin^2 \theta + 2\cos \theta = 5, 0^\circ < \theta < 90^\circ$$, then the value of $$\tan^2 \theta + \sec^2 \theta - \sin^2 \theta$$ will be:

Question 63

Chord AB and diameter CD ofa circle meet at the point P , outside the circle when produced. If PB = 8 cm, AB = 12cm and the distance of P from the centre ofthe circle is 18 cm,the radius (in cm ofthe circle is closest to:

Question 64

If $$x^4 + y^4 + x^2y^2 = 117$$ and $$x^2 + y^2 - xy = 3(4 + \sqrt{3})$$, then the value of $$(x^2 + y^2)$$ will be:

Question 65

Study the given graph and answer the question that follows.

The expenditure on Interest on Loans is by what percentage more than the expenditure on Taxes?

Question 66

The altitude AD of a triangle ABC is 9 cm. If AB = 6$$\sqrt{3}$$ cm and CD = 3 $$\sqrt{3}$$ cm, then what will be the measure of $$\angle A$$?

Question 67

Sulekha bought 36 kg of sugar for â‚¹1,040. She sold it at a profit equalto the selling price of 10 kg of it. What is the selling price (in â‚¹) for 5 kg of sugar?

Question 68

Geeta scored 30% and failed by 50 marks, while Sandeep who scored 45% marks, got 25 marks more than the minimum marks required to pass the examination. How many marks did Vimal get if he scored 64% marks?

Question 69

A and B can complete a certain task in 24 days and 40 days, respectively. They worked together for 8 days. C completed the remaining task in 14 days. Working together. A and C will complete 75% of the same work in:

Question 70

In a circle with centre O, a 6 cm long chord is at a distance 4 cm from the centre. Find the length of the diameter.

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