Question 1The integral values of y which satisfy the inequality, -1 < 5 - 2y ≤ 7 are A.-1, 0, 1, 2B.0, 1, 2, 3C.-1, 0, 1, 2, 3D.-1, 0, 2, 3Objective Show full explanation
Question 2A regular polygon with (2m + 1) sides has each interior angle equal to 144°. The value of m isA.4½B.5C.8D.10Objective Show full explanation
Question 3An observer standing on the top of a building 40m high views a stone on the ground level at an angle of depression of 38°. The distance of the stone from the foot of the building, in metres, is equal toA.40 sin38°B.40 cos38°C.40 cot38°D.40 tan38°Objective Show full explanation
Question 4If the mass of a solid metal sphere of radius 3cm is 9kg, the mass of a spherical shell of the same metal whose internal and external radii are 2cm and 3cm respectively isA.4 1/2kgB.6kgC.6 1/3kgD.7 1/2kgObjective Show full explanation
Question 5X is a variable point which is equidistant from two parallel lines PQ and RS of equal lengths such that PQRS forms a rectangle. If X^PQ = 25°, then R^XS isA.130°B.65°C.50°D.25°Objective Show full explanation
Question 6The average age of the three children in a family is 9 years. If the average age of their parents is 39 years, the average age of the whole family isA.20 yearsB.21 yearsC.24 yearsD.27 yearsObjective Show full explanation
Question 7A photograph is to be taken of five people including a married couple. If the married couple insist on sitting next to each other, the number of different arrangements isA.20B.24C.48D.60Objective Show full explanation
Question 8The binary operations . and x are defined over the set of real numbers by a . b - ab - b - 1 and a x b - ab + b - 2. Find the value of 3 x (4 . 5)A.42B.54C.57D.60Objective Show full explanation
Question 9A pump P can fill a water tank in 5h. With a second pump Q also operating, the tank can be filled in 2h. Pump Q operating alone can fill the tank inA.3hB.3 1/3hC.3 1/2hD.4hObjective Show full explanation
Question 10If x - 1, x, x + 2 form a geometric sequence, then the value of x isA.1B.-1C.2D.-2Objective Show full explanation