A brand new Beats Headphone was on sale at 20% as a promotional offer. By what percent must the headphone price be increased to sell it at the original price again ?
25%.
Suppose a $10 item is reduced by 20%, the price will drop to $8. Now to make it the original price we must add $2 more which is 25% of $8.
John was gifted a new Hayabusa. He drove x miles at 55mph. Then he drove x+20 miles at 40mps. He drove his bike for 100 minutes. How much distance did he travel?
t1 + t2 = 100 minutes = 100/60 hours
t1 = x/55
t2 = (x+20)/40
x/55 + (x+20)/40 = 100/60
x = 1540/57
Thus, Total distance = x + (x+20) = 4220/57 miles = 74 2/57 miles
If we have four positive numbers a, b, c and d, there are six ways to multiply the pairs i.e. a*b, a*c, a*d, b*d and c*d. If we tell you the result of five of them without telling you which one is the product of which pair as 2, 3, 4, 5 and 6.
What is the remaining product?
2.4
On multiplying all the 6 pairs we get (a*b*c*d)^3.
Assuming the missing product is a*b, then amid the 5 given products we see (a*c)*(b*d)=(a*d)*(b*c)
If we look at the numbers clearly 5 is out of the equation because there is nothing to balance it so the only remaining match is 2*6=3*4, so a*b*c*d=2*6=12.
So the product of all 6 pairs should be 12^3, the product of the given 5 is 720, so the missing one is 12/5=2.4
How can you write nineteen in a manner that if we take out one, it becomes twenty?
XIX. On taking one i.e. I, we get XX i.e. 20
If we add four times the age of Dakota four years from now to five times her age five years from now we get ten times her current age.
How old will Dakota be three years from now?
If the current age of Dakota is x
4(x+4) + 4(x+5) = 10x
Thus x=41 years
After three years, Dakota will be 41+3 = 44 years
A chess tournament is taking place on knock-out terms (the one who loses the match is out of the game).
(a) If 15 matches are played in total, how many players participated?
(b) If 50 players took part in the tournament, how many matches were played?
(a) If you look at the question closely, it is a knockout tournament and the winner will be just one. Thus no. of players is equal to 15+1=16.
(b) The number of matches will always be one less than the number of players (in knockout tournaments). Thus the answer is 49.
If
6 / 7 = 2
3 / 9 = 7
8 / 2 = 6
Then
4 / 5 = ?
0
6 / 7 = 42 =>2
3 / 9 = 27 => 7
8 / 2 = 16 => 6
Then
4 / 5 = 20 =>0
Which is the smallest number that you can write using all the vowels exactly once.?
sIx thOUsAnd twEnty (6020)
Ramanujan discovered 1729 as a magic number.
Why 1729 is a magic number ?
They can be expressed as the sum of the cubes of two different sets of numbers.
10^3 + 9^3 = 1729
and
12^3 + 1^3 = 1729
