A sphere is inscribed in a cone whose radius and height are 12 and 16 units, respectively. Then, the volume of the sphere is
Lavakush starts from P on a stream and goes upstream on a boat.After travelling for an hour he comes across a log floating with the stream.He continues travelling upstream for another 20 mintues and then reverses his direction.If he catches up with the log again at P,what is the ratio of the speeds of the boat in the still water and the stream ?
- 3:1
- 4:3
- 5:3
- can't be determined
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f(p) = 2^p + p^2, where p is a prime number. What is the number of prime numbers for which f(p) is prime.
(1) 1 (2) 2 (3) 3 (4) Infinitely many
If an integer of two digits is p times the sum of the digits,the number formed by interchanging the digits is the sum of the digits multiplied by ?
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- 9-p
- 3)11-p
- 5)p+1
- 4)p-1
- 2)10-p
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A plane is flying at a height of 3000m. It is vertically above another plane which is flying at a certain height. Find the height at which this plane is flying if the angle of elevations of the two planes are 60 and 45 degrees?
77777777777777777777.......................(101) times remainder with 440 ?
- 377
- 227
- 277
- 337
- none
0 voters
Approach plz
Anitha divided some chocolates among her three sons such that for every 4 chocolates that the eldest son got , her second son got 3 chocolates. for every 2 chocolates that her second son got , her third son got 3 chocolates. if her second son got 12 chocolates. find the total number of chocolates received by the other two sons?????? please answer(COMPLETE SOLUTION)
Hi puys. I have a doubt regarding this question..Plz tell whats wrong in the 2nd method.Q. a+b+c= 9 . a >= 0 and a a'+b'+c' = 9=>Ans = 11C2..This i think isn't right..So plz let me know what's wrong in this method
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You have defined a as 6 - a', since a >= 0, we can say that a' So, you are counting those cases also when a' is 7 or more (and same cases with b' and c')
If A is a fifty-element subset of the set {1, 2, 3, . . . , 100) such that no two numbers from A add up to 100, then which of the following is necessarily correct:
- A contains a perfect square
- None of the above
- Both of the above
- A contains a prime number
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Find the number of real solution the following equation will have:
(x² + x - 2)³ + (2x² - x + 1)³ = 27(x² - 1)³
from 4 gentlemen and 4 ladies a comitee of 5 is to be formed. find the number of ways of selecting a commitee with at least 3 women such that atleast one woman holds the post of either a president and a vice president
fIND THE LAST DIGIT OF THE LCM OF 7^3001-1 and 7^3001+1 ?
- 4
- 8
- 6
- 9
- 0
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63! remainder with 71 ?
- 63
- 70
- none
- 1
0 voters
Plz solve using mass point geometry
Remainder of 2^42/80 and 2^42/125??
63! remainder with 71 ?
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Approach plz
- 1
- none
- 63
- 70
0 voters
A man earns x% on the first rs.5000 of his investment and y% on the rest of his investment. If he earns rs.1250 from rs.7000 and rs.1750 from rs.9000 invested, find the value of x.
a)20%
b)15%
c)25%
d)NOT
ABCD is a cyclic quadrilateral and the points A, B and C form an equilateral triangle. What is the sum of line segments DA and DC
DB
DB/2
Root of 2*DB
DB/root 2