The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
A. 1:4
B. 1:16
C. 1:8
D. 1:64
4πr12 : 4πr22 = 1 : 4
r1 : r2 = 1 : 2
4/3 πr13 : 4/3 πr23
r13 : r23 = 1 : 8
A. 1:4
B. 1:16
C. 1:8
D. 1:64
4πr12 : 4πr22 = 1 : 4
r1 : r2 = 1 : 2
4/3 πr13 : 4/3 πr23
r13 : r23 = 1 : 8
A. 12
B. 8
C. 10
D. 9
Part of work completed by A in a day = 1/X Part of work completed by B in a day
= 1/(X+5) (1/X)+(1/(X+5)) = 1/6 (2X+5)/(X²+5X) = 1/6 X²+5X = 6(2X+5) X²-7X-30=0 Solving, X=10
A. 12/6 days
B. 15/2 days
C. 23 days
D. 34 days
Ratio of time, taken by A and B = 160 : 100 = 8 : 5
If A takes 8 days, B takes 5 days.
If A takes 12 days, B takes = [5/8×12]=15/2 days
A. 4000
B. 3050
C. 4400
D. 4500
E. None of these
Let the number be a
Given, 15/100 * 30/100 * 50/100 * a = 90
=> 3/20 * 3/10 * 1/2 * a = 90
=> a = 10 * 20 * 10 * 2 = 4000.
A. 1,20,000
B. 1,10,000
C. 1,00,000
D. 90,000
Explanation:
X * (105/100) * (105/100) * (105/100) = 138915
X = 138915/1.157625
X = 120000
A. Rs. 400
B. Rs. 450
C. Rs. 460
D. Rs. 480
Explanation:
Let the sum be Rs. P. Then,
[P(1 + 25/(2 * 100))2 – P] = 510
P[(9/8)2 – 1] = 510.
Sum = Rs. 1920
So, S.I. = (1920 * 25 * 2) / (2 * 100) = Rs. 480
A. 1 year
B. 1.5 years
C. 2 years
D. 2.5 years
6 * 22 = 132
7 * 19 = 133
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