451.
The average of the areas of 2 similar triangles is 706.5 m2 whose perimeters are in the ratio of 6 : 11. What is 20% of the
difference (in m2) in areas of both triangles?
(A)
157
(B)
149
(C)
153
(D)
164
452.
A policeman is chasing a thief at a speed of 12 km/h, and the thief is running at a speed of 8 km/h. If the policeman started
30 minutes late, find the time taken by the policeman to catch the thief.
(A)
120 minutes
(B)
60 minutes
(C)
90 minutes
(D)
100 minutes
453.
The price of a car is decreased by 15% and 20% in two successive years respectively. What percentage of the price of the
car is decreased after two years?
(A)
32%
(B)
25%
(C)
46%
(D)
15%
454.
If the radius of a sphere is increased by 5%, then by what percentage will the surface area of the sphere increase?
(A)
13.25%
(B)
11.25%
(C)
10.25%
(D)
15.25%
455.
In a triangle ABC, D and E are two points on sides AB and AC, respectively, such that DE is parallel to BC and AD : DB = 3 :
5. If AC = 5.6 cm, then find the value (in cm) of AE.
(A)
2.3
(B)
2.1
(C)
1.9
(D)
2.5
456.
A father is presently 3 times his daughter’s age. After 10 years he will be twice as old as her. Find the daughter’s present
age.
(A)
5 years
(B)
10 years
(C)
20 years
(D)
15 years
457.
A shopkeeper charges his customer 14% more than the cost price. If a customer paid ₹18,240 for a mobile phone, then the
cost price of the mobile phone was:
(A)
₹20,793.60
(B)
₹15,686.40
(C)
₹16,600
(D)
₹16,000
458.
How many numbers between 10 and 65 are divisible by 2, 3 and 4?
(A)
3
(B)
7
(C)
9
(D)
5
459.
An interval of 2 hours 25 minutes is wrongly estimated by 2 hours 30.5 minutes. The error percentage is:
(A)
(B)
(C)
(D)
460.
Two circles of radii 16 cm and 4 cm, respectively, touch each other externally at Point A. PQ is the direct common tangent of
these circles with centres C1 and C2, respectively. What is the length of PQ?
