The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________?
A. 4/3 times its radius
B. 2/3 times its radius
C. Equal to it’s radius
D. Equal to it’s diameter
A. 4/3 times its radius
B. 2/3 times its radius
C. Equal to it’s radius
D. Equal to it’s diameter
A. 33 1/3%
B. 30%
C. 20%
D. 16 2/3%
E. None of these
Explanation:
Let Q get 1 unit.
25% of 1 unit = 1/4 = 0.25
P gets (1 + 0.25) i.e., 1.25 units.
Difference = (1.25 – 1) = 0.25
Required percentage = 0.25/1.25 * 100 = 1/5 * 100 = 20%
A. 1200 m²
B. 1500 m²
C. 12000 m²
D. 15000 m²
Actual length
= 30*500 cm Actual breadth
= 20*500 cm Actual area
= 30*20*500*500 = 15000 m²
A. 36
B. 66
C. 132
D. 264
Explanation:
12 * 396 = 36 * x
x = 132
A. neither increased nor decreased
B. increased by 1 %
C. decreased by 1 %
D. decreased by 10 %
Explanation:
Let original length = l units and original breadth = b units
Then original Area = lb sq. Units
New length = (110/100 l) units = (11 l)/10 units
New breadth = (90/100 b) units = (9 l)/10 units
New area = (11l/10 × 9b/10) sq. Units = 99lb/100 sq. units
Decrease in area = (lb- 99lb/100)sq units = lb/100 sq. units
Decrease in area = (lb/100 × 1/lb ×100) % = 1 %
Decrease by = 1 %
A. 1/455
B. 2/455
C. 1/91
D. 4/455
Explanation:
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue = ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13) = 1/455
A. 100
B. 60
C. 30
D. 20
Explanation:
The number of ways to select three men and two women such that one man and one woman are always selected = Number of ways selecting two men and one woman from men and five women
= ⁴C₂ * ⁵C₁ = (4 * 3)/(2 * 1) * 5
= 30 ways.