Q1. In the given figure, PT is the tangent of a circle with centre o at point R. if diameter SQ is increased, it meets with PT at point P. if ∠SPR = x° and ∠QSR = y°, what is the value of x + 2y?
(a) 105
(b) 135
(c) 90
(d) 180
L1Difficulty 3
QTags Circle-Geometry
QCreator NEERAJ KUMAR
Q2. In the figure givne below, ABCD is parallelogram. P is a point in BC such that PB : PC = 1 : 2 DP produced meets AB produced at Q. if the area of ∆BPQ is 20 sq units, what is the area of ∆ DCP?
(a) 20 sq units
(b) 40 sq units
(c) 60 sq units
(d) None of these
Q3. The simple interest on a sum of money is 1/9 of the principal and the number of years is equal to the rate percent per annum. Find Rate percent per annum –
Q4. The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is –
(a) 10
(b) 23
(c) 46
(d) 17
Q5.
(a) 1
(b) 4
(c) 2
(d) 3
Q6.the minimum value of 2sin²θ +3cos²θ is –
(a) 1
(b) 3
(c) 2
(d) –1
Directions(7-10): study the following graph carefully to answer the question that follow
Q7. What is the respective ratio of girls to boys in college T?
(a) 2 : 3
(b) 4 : 7
(c) 2 : 5
(d) 3 : 8
Q8. The number of boys in college S is approximately what percent of the number of boys in college Q?
(a) 75
(b) 116
(c) 129
(d) 88
Q9. The number of girls of college R is what percent of the total number of students of all the colleges together?
(a) 5.00
(b) 5.18
(c) 8.26
(d) 7.32
Q10. What is the average number of boys from all the colleges together?
(a) 4000
(b) 2000
(c) 1800
(d) 1750
solutions:-
