Q1. AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm, then the length of BC is
(a) 10 cm
(b) 14 cm
(c) 5 cm
(d) 7 cm
Q2. If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer, the resulting number is always divisible by
(a) 2
(b) 5
(c) 6
(d) 9
Q3. A canteen requires 56 kgs of rice for seven days. The quantity of rice required for the months of April and May together is
(a) 468 kg
(b) 488 kg
(c) 498 kg
(d) 508 kg
Q4. A car travels 80 km in 2 hours and a train travels 180 km in 3 hours . The ratio of speed of the car to the train is:
(a) 2 : 3
(b) 3 : 2
(c) 3 : 4
(d) 4 : 3
Q5. In a triangle XYZ, which of the following conditions is true
(a) XY – YZ > ZX
(b) XY + YZ < ZX
(c) XY – YZ < XZ
(d) XY + ZX < YZ
Q6. A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in
Q7. A retailer gets a discount of 40% on the printed price of an article. The retailer sells it at the printed price. His gain percent is
Q8. A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is
(a) 12 litres
(b) 10 litres
(c) 9 litres
(d) 8 litres
Q9. If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit percent is
(a) 20%
(b) 25%
(c) 15%
(d) 5%
Q10. The sum of money that will yield Rs.60 as simple interest at 6% per annum in 5 years is
(a) Rs.200
(b) Rs.225
(c) Rs.175
(d) Rs.300
Solutions:
