In which years, the maximum number of students appeared in class $10^ {th}$ Examination

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2 .

$\Delta$ABC, the medians AD , BE and CF intersect eachother at the point G. If the area of $\Delta$ ABC is 36 sq.cm, then the area of the quadrilateral BDGF is equal to

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3 .

What is mean proporti onal between (15 + $\sqrt {200}$) and (27 - $\sqrt {648}$) ?

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4 .

A boat goes 40 km downstream in one hour and the same distance upstream in two hours. The speed of the boat in still water is

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5 .

The sum of a two digit number and the number obtained by reversing the order of its digit is 121 and both digits is differ by 3. Find the number

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6 .

A and B are friends and their ages differ by 2 years. A's father D is twice as old as A and B is twice as old as his sister C. The age of D and C differ by 40 years. Find the age of A (A > B)

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7 .

If $\theta$ is an acute angle such that cos $\theta$ = $3 \over 5$ , then $sin\theta tan \theta - 1 \over 2 tan^2 \theta$ is equal to

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8 .

Last year my age was a perfect square number. Next year it wi ll be a cubic number. What is my present age ?

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9 .

Jaydeep purchased 25 kg of rice at the rate of Rs. 16.58 per kg and 35 kg of rice at the rate of Rs. 24.50 per kg. He mixed the two and sold the mixture. At what price per kg did he sell the mixture to make 25%. Profit ?

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10 .

The volume of a metallic sphere is 38808 $cm^3$ . Find its total surface area

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