1 .Two ci rc les of radi i 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touches them at the points P and Q respectively. Then the area of a square with one side PQ, is –

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2 .In ∠ ABC, AD is the median and AB = $1\over2$ BC. If ∠ BAD = 30°, then measure of ∠ ACB is –

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3 .

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4 .

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5 .If x+$1\over x$= 3 then value of $x^5$ + $1\over x^2$ is

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6 .The population of a town is 15000. If the number of males increases by 8% and that of females by 10%, then the population would increase to 16300. Find the number of females in the town.

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7 . If ` 5,000 become ` 5,700 in a year's time, what will ` 7,000 become at the end of 5 years at the same rate of simple interest ?

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8 .A thief is noticed by a policeman from a distance of 200 m. Then thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. The distance (in metres) between them after 6 minutes is –

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9 .The average age of four boys, five years ago was 9 years. On including a new boy, the present average age of all the five is 15 years. The present age of the new boy is –

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10 .The cost of a piece of diamond varies with the square of its weight. A diamond of ` 5,184 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.

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