1. A cylindrical drum of radius 14 cm contains water. A solid cuboid having length 14 cm, breadth 11 cm and height 12 cm is dropped in the water. Find the increase in the water level of the drum.
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2. The ratio of the supplementary angle and complementary angle of an angle is 13 : 4. Find the measure of that angle.
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3. If the measure of a central angle is 135°, find the measure of the corresponding major arc.
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4. A car takes 6 hours to travel from one place to other. The car travels at an average speed of 50 km/hr. If the same car has to cover the same distance in four hours, then what should be the speed of the car ?
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5. A shopkeeper purchased 50 dozen notebooks at the rate of Rs. 200 per dozen. All the notebooks were sold at the rate of Rs. 225 per dozen. Find the percentage of profit in this transaction.
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6. The radius of a circle with centre O’is 13 cm. The distance of a chord from the centre is 5 cm. Find the length of the chord.
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7. The difference between the sum of prime numbers from 21 to 30 and
the sum of composite numbers from 21 to 30 is divisible by which of
the following numbers ?
(A) 3 (B) 7 (C) 151 (D) 17
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8. The measures of exterior angles of a triangle are 140° and 130° respectively. Which type of triangle is it?
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9. 45 girls of Std. VI, 30 girls of Std. VII and 60 girls of Std. VIII have to stand on the ground in different rows for the drill. The girls have to stand in such a way that the number of girls in each row should be same. Find the maximum number of girls that can stand in each row.
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10. How many solid coins of 6 cm diameter and 0.2 cm thickness can be made by melting a solid metal cuboid of length 33 cm, breadth 18 cm and height 8 cm ?
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