If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is________?
A. 100π
B. 7π
C. 60π
D. 50π
4/3 π * 10 * 10 * 10 = 8 * 4/3 πr3
r = 5
4π * 5 * 5 = 100π
A. 100π
B. 7π
C. 60π
D. 50π
4/3 π * 10 * 10 * 10 = 8 * 4/3 πr3
r = 5
4π * 5 * 5 = 100π
A. Rs. 420000
B. Rs. 180000
C. Rs. 201600
D. Rs. 504000
E. None of these
Explanation:
B’s monthly income = 15000 * 112/100 = Rs. 16800
B’s monthly income = 2 parts —-> Rs. 16800
A’s monthly income = 5 parts = 5/2 * 16800 = Rs. 42000
A’s annual income = Rs. 42000 * 12 = Rs. 504000
A. ²²C₁₀
B. ²²C₁₀ + 1
C. ²²C₉ + ¹⁰C₁
D. ²²C₁₀ – 1
Explanation:
The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ – 1
A. 27 2/23 %
B. 33 1/3 %
C. 30%
D. 19%
A. 4 years
B. 6 years
C. 2 years
D. 3 years
Explanation:
9261 = 8000(21/20)N
(21/20)3 = (21/20)N => N = 3
A. Rs.32
B. Rs.28
C. Rs.36
D. Rs.25
E. None of these
Explanation:
Let the cost of each pen and pencil be ‘p’ and ‘q’ respectively.
16p + 8q = 352 — (1)
4p + 4q = 96
8p + 8q = 192 — (2)
(1) – (2) => 8p = 160
=> p = 20
A. 1 min
B. 2 min
C. 3 min
D. None
Explanation:
Time for one revolution = 60/15 = 4
60/ 20 = 3
60/48 = 5/4
LCM of 4, 3, 5/4
LCM of Numerators/HCF of Denominators =
60/1 = 60