(a) 8 metres
(b) 12 metres
(c) 4 metres
(d) 32 metres
Q2. The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm and the breadth is less by 3 cm. Find the perimeter of the rectangle.
(a) 17 cm
(b) 26 cm
(c) 30 cm
(d) 34 cm
Q3. A cistern 6 m long and 4 m wide contains water up to a depth of 1.25 m. the total area of the wet surface is
(a) 55 m^2
(b) 53.5 m^2
(c) 50 m^2
(d) 49 m^2
Q4. Water flows into a tank which is 200 m long and 150 m wide through a pipe of cross-section 0.3m × 0.2 m at 20 km/hour. Then the time (in hours) for the water level in the tank to reach 8 m is
(a) 50
(b) 120
(c) 150
(d) 200
Q6. A kite in the shape of a square with a diagonal 32 cm attached to an equilateral triangle of the base 8 cm. approximately how much paper has been used to make it? (Use √3=1.732)
(a) 539.712 cm^2
(b) 538.721 cm^2
(c) 540.712 cm^2
(d) 539.217 cm^2
Q7. A circle is inscribed in a square of side 35 cm. The area of the remaining portion of the square which is not enclosed by the circle is
(a) 962.5 cm^2
(b) 262.5 cm^2
(c) 762.5 cm^2
(d) 562.4 cm^2
Q8. A can do round a circular path 8 times in 40 minutes. If the diameter of the circle is increased to 10 times the original diameter, the time required by A to go round the new path once travelling at the same speed as before is:
(a) 25 min
(b) 20 min
(c) 50 min
(d) 100 min
Q9. The area of a circular garden is 2464 sq. m. how much distance will have to be covered if you like to cross the garden along its diameter? (Use π=22/7)
(a) 56 m
(b) 48 m
(c) 28 m
(d) 24 m
Q10. The perimeter of triangle is 30 cm and its area is 30 cm^2. If the largest side measures 13 cm. What is the length of the smallest side of the triangle?
(a) 3 cm
(b) 4 cm
(c) 5 cm
(d) 6 cm
Q12. In a triangular field having sides 30m, 72m and 78m, the length of the altitude to the side measuring 72m is:
(a) 25 m
(b) 28 m
(c) 30 m
(d) 35 m
Q13. The area of the triangle formed by the straight line 3x + 2y = 6 and the co-ordinate axes is
(a) 3 square units
(b) 6 square units
(c) 4 square units
(d) 8 square units
Q14. The parallel sides of a trapezium are in a ratio 2 : 3 and their shortest distance is 12 cm. If the area of the trapezium is 480 sq. cm. the longer of the parallel sides is of length:
(a) 56 cm
(b) 36 cm
(c) 42 cm
(d) 48 cm
Q15. The diameter of two circles are the side of a square and the diagonal of the square. The ratio of the area of the smaller circle and the larger circle is
(a) 1 : 2
(b) 1 : 4
(c) √2 ∶ √3
(d) 1∶ √2
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