Q2. The orthocentre of a triangle is the point where
(a) the medians meet
(b) the altitudes meet
(c) the right bisectors of the sides of
(d) the bisectors of the angles
Q3. ABCD is a cyclic trapezium in which AD ‖ BC. If ∠ABC = 70°, then ∠BCD is
(a) 110°
(b) 80°
(c) 70°
(d) 90°
Q4. The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?
(a) 60
(b) 70
(c) 80
(d) 90
Q5. If a + b = 10 and ab = 21, then the value of (a – b)2 is
(a) 15
(b) 16
(c) 17
(d) 18
Q6. In a circle, a chord, 
cm long, makes a right angle at the centre. Then the length of the radius of the circle will be
(a) 2.5 cm
(b) 5 cm
(c) 7.5 cm
(d) 10 cm
Q7. Thousand solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is
(a) 30
(b) 90
(c) 45
(d) 60
Q8. If the value of a company stock drops from Rs. 25 per share to Rs. 21 per share, the percentage decrease per share is
(a) 4%
(b) 8%
(c) 12%
(d) 16%
Q9. Three consecutive angles of a cycle quadrilateral are in the ratio of 1 : 4 : 5. The measure of fourth angle is
(a) 120°
(b) 60°
(c) 30°
(d) 80°
Q10. Nine students of a class contribute a certain sum of money. Seven of them gave Rs. 50 each and the other two gave Rs. 90 more than the others. The average contribution of the class of 9 students is
(a) Rs. 70
(b) Rs. 50
(c) Rs. 100
(d) Rs. 120
Solutions:
S2. Ans.(b)
Sol.
The point where all three altitudes of a triangle intersect is called orthocenter.
S3. Ans.(c)
Sol.
S4. Ans.(c)
Sol.
