2191.
Two circles touch each other at a point O. AB is a simple common tangent to both the circles touching at point A and point
B. If radii of the circles are 9 cm and 4 cm, then find AB.
(A)
72 cm
(B)
144 cm
(C)
12 cm
(D)
24 cm
2192.
Three persons ran for office and got, 1136, 7636 and 11628 votes, respectively. What was the winning candidate's
percentage of the total votes?
(A)
52%
(B)
61%
(C)
59%
(D)
57%
2193.
PQ is a diameter of a circle with centre O. The tangents at R meets PQ produced at A. If ∠RPQ = 27°, then measure of ∠RQP
is:
(A)
63°
(B)
54°
(C)
153°
(D)
27°
2194.
The surface areas of two spheres are in the ratio 25 : 36. What is the ratio of their volumes?
(A)
(B)
(C)
(D)
2195.
What is the value of the following expression?
(A)
(B)
(C)
(D)
2196.
In a ∆ABC, two medians AD and BE intersect at G at right angles. If AD = 18 cm and BE = 12 cm, then the length of BD is
equal to:
(A)
10 cm
(B)
15 cm
(C)
8 cm
(D)
20 cm
2197.
A person drives 110 miles at 55 miles per hour, he drives the next 120 miles at 60 miles per hour, and then he drives the next
60 miles in an hour. What is his average speed for the entire journey in miles per hour ?
(A)
58
(B)
55
(C)
63
(D)
60
2198.
If 18 toys out of 75 toys are for boys and the rest are for girls, what is the percentage of girls toys?
(A)
18%
(B)
57%
(C)
67%
(D)
76%
2199.
In a circle, ABCD is a cyclic quadrilateral in which AE is drawn parallel to CD, and BA is produced to F. If ∠ABC = 85° and
∠FAE = 24°, find the value of ∠BCD.
(A)
125°
(B)
115°
(C)
124°
(D)
119°
2200.
Find the number when successively divided by 3,5and 7 leaves remainder 2,1and 3, respectively, and the last quotient is 3.
