Q1. A (-2, -1), B (1, 0), C(4, 3) and D(1, 2) are the four points of a quadrilateral. The quadrilateral is a:
(a) Square
(b) Rhombus
(c) Parallelogram
(d) None of these
Q2. The co-ordinates of point situated on x-axis at a distance of 5 units from y-axis is:
(a) (0, 5)
(b) (5, 0)
(c) (5, 5)
(d) (-5, 5)
Q4. 5 Pens and 7 Pencil together cost Rs. 50. Whereas 7 pens and 5 pencils together cost Rs. 46. Find the cost of one pencil is.
(a) Rs. 3
(b) Rs. 5
(c) Rs. 8
(d) Rs. 10
Q5. The region specified by x ≥ 0, y ≥ 0, x + y ≥ O includes:
(a) 1st quadrant
(b) 2nd quadrant
(c) 3rd quadrant
(d) 4th quadrant
Q6. For what value of k will the equations x + 2y + 6 = 0 and 3x + ky + 18 = 0 represent coincident lines?
(a) k = 8
(b) k =4
(c) k = 5
(d) k = 6
Q7. The area of the triangle formed by the lines 5x + 7y = 35, 4x + 3y = 12 and x-axis is:
(a) 160/13 sq. unit
(b) 150/13 sq. unit
(c) 140/13 sq. unit
(d) 10 sq. unit
Q8. AB and CD are two chords of a circle intersect at a point P. If angle APC = 80° and angle ADP = 30°, then angle BCD = ?
(a) 30°
(b) 80°
(c) 100°
(d) 50°
Q9. AB is a diameter of a circle having centre at O. P is a point on the circumference of the circle. If angle POA = 120°, then measure of angle PBO is
(a) 75°
(b) 60°
(c) 68°
(d) 70°
Q10. Find the measures of an angle which is complement of itself.
(a) 40°
(b) 30°
(c) 45°
(d) 50°
Q11. If one angle of a linear pair is acute, then its other angle will be:
(a) acute
(b) obtuse
(c) right angle
(d) None of these
Q12. The ratio of the angle A and B of a non-square rhombus ABCD is 4 : 5, then the value of angle C is:
(a) 50°
(b) 45°
(c) 80°
(d) 95°
Q13. A pyramid with an equilateral triangle of each side 4 cm while its slant height is twice the height of pyramid. Find its volume
(a) 8√3
(b) 8/(3√3)
(c) 4√3
(d) 3√3
Q14. The external dimensions of a wooden box closed at both ends are 24 cm, 16 cm and 10 cm respectively and thickness of the wood is 5 mm. if the empty box weighs 7.35 kg, find the weight of 1 cubic cm of wood:
(a) 10 g
(b) 12.5 g
(c) 27 g
(d) 15 g
Q15. The difference between the outside and inside surface of a cylindrical metallic pipe, 14 cm long, is 44 cm^2. If the pipe is made of 99 cm^3 of metal. Find the outer radii of the pipe?
(a) 2 cm
(b) 2.5 cm
(c) 4 cm
(d) 5 cm
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