Previous Year Quant Questions for IB (ACIO) - 2017

Dear students, you know QUANT is a scoring portion and every chapter is important. So, we are providing 15 questions of Quant. Solve all these quizzes every day so that you can improve your accuracy and speed.

Q1. The medians CD and BE of the triangle ABC intersect in point O, then the ratio of the area (∆ODE): area (∆ABC) will be equal to?
(a) 3 : 4
(b) 1 : 12
(c) 12 : 1
(d) 4 : 3

Q2. If the sum of the interior angles of a regular polygon is 14 right angle, then the no. of sides of the polygon is?
(a) 6
(b) 9
(c) 8
(d) 7

Q4. If ABCD be a cyclic quadrilateral in which ∠A = 50°, ∠B = 80°, then the values of angle ∠C and ∠D are?
(a) 100°, 130°
(b) 130°, 100°
(c) 115°, 115°
(d) 110°, 120°

Q5. If cos 20° = m and cos 70° = n, find the value of m² + n²?
(a) 1/2
(b) 1/√2
(c) 1
(d) 3/2

Q6. Find each angle of regular polygon consisting of 8 sides?
(a) 45°
(b) 100°
(c) 135°
(d) 120°

Q7. The capacity of a cuboidal tank is 50000 litres. Find the breadth of the tank if its length and depth are 2.5m & 10 m respectively?
(a) 0.18 m
(b) 2 m
(c) 0.20 m
(d) 0.15 m

Q8. If linear equation 2x + 3y = K has its solution as (2, 0) find the value of K ?
(a) 6
(b) 4
(c) 5
(d) 2

Q9. The value of cos1° cos 2° cos 3°…cos180° is ?
(a) 1
(b) √3/2
(c) 1/2
(d) 0

Q10. If sin (90° – θ) + cosθ = √2 cos (90° - θ), find the value of cosecθ ?
(a) √(3/2)
(b) 2/3
(c) 1/√2
(d) 1/√3

Q11. A hollow metallic sphere is made by melting two solid spheres with radii 1 cm and 6 cm long. What will be the external radius of the hollow sphere, if the internal radius is 1 cm less than the external radius?
(a) 8 cm
(b) 9 cm
(c) 7 cm
(d) 6 cm

Q12. The graph of the equation y = x passes though the point ?
(a) (-1/2 , 1/2)
(b) (3/2 , -3/2)
(c) (0 , 3/2)
(d) (1 , 1)