Karan bought a little box of midget matches, each one inch
in length. He found that he could arrange them all in the
form of a triangle whose area was just as many square inches
as there were matches.
He then used up six of the matches, and found that with the
remainder he could again construct another triangle whose
area was just as many square inches as there were matches.
And using another six matches he could again do precisely
the same.
How many matches were there in the box originally?
Note that the match-box can hold maximum of 50 matches.
- 1 Answers
- 4920 Views
- I also Faced
- E-Mail Answers
Answer / guest
Initially, there were 42 or 36 matches in the match-box.
There are 42 matches in the box with which he could form a
triangle 20, 15, 7, with an area of 42 square inches. After
6 matches had been used, the remaining 36 matches would form
a triangle 17, 10, 9, with an area of 36 square inches.
After using another 6 matches, the remaining 30 matches
would form a triangle 13, 12, 5, with an area of 30 square
inches. After using another 6, the 24 remaining would form a
triangle 10, 8, 6, with an area of 24 square inches.
Thus, there are two possible answers. There were either 42
or 36 matches in the match-box.
| Is This Answer Correct ? | 2 Yes | 0 No |
A clock with the hours round the face in Roman block numbers, as illustrated in the sketch fell down and the dial broke into four parts....
Its a 4letter word.Boys have,girls dont have.poor have,rich dont have.if u get u can fly,animals drinks,i cant… Find out the word
An ant had to travel from one corner of a room to diagonally opposite corner. It can walk on walls, floor and roof only. How will you find the shortest path for this ant ?
9 Answers Analog Devices, Cadence, TCS, ZS Associates,
Three friends went to hotel for breakfast . After having breakfast total bill was Rs 25 . Each one contributed Rs 10. So total was Rs 30 . 30 is paid. waiter gave Rs 5 back to them . Three friend gave Rs 2 tips to waiter . From remaining Rs 3 each one took one rupee. As each one contributed ten . And each friend recieved one rupee back. Means each one had breakfast in nine rupee. So three friend had breakfast in 9+9+9=27. And Rs 2 is given to tips to waiter. So total money for breakfast for three friend was 27+2=29. Where is remaining one rupee?
Mr. D'souza has bought four cars - Merc, Honda, Ford, Zen - as presents for his sons' birthdays, all of which are next week. Given the following information, what will each son get? Alan will not get the Honda unless Barry gets the Merc and Denzil gets the Ford. Barry will not get the Ford unless Carl gets the Zen and Alan gets the Merc. Denzil will not get the Zen unless Alan gets the Honda and Barry gets the Merc. Alan will not get the Merc unless Carl gets the Zen and Denzil gets the Ford. Barry will not get the Merc unless Alan gets the Zen and Denzil gets the Ford. Alan will not get the Zen unless Barry gets the Honda and Carl gets the Merc. Carl will not get the Zen unless Barry gets the Honda and Alan gets the Ford. Alan will not get the Ford unless Barry gets the Zen and Denzil gets the Honda. Carl will not get the Merc unless Denzil gets the Honda.
agar aapse wo insaan i love you kahe jis se aap pyar nahi karte to aap uska bina dil dukhaye kya jawab doge?
can you work well under deadlines or pressure?
1 Answers Academy Of Aerospace Aviation, Qatar Airlines,
The son of a rich bullion merchant left home on the death of his father. All he had with him was a gold chain that consisted of 138 links. He rented a place in the city center with a shop at the lower level and an apartment at the upper level. He was required to pay every week one link of the gold chain as rent for the place. The landlady told him that she wanted one link of the gold chain at the end of one week, two gold links at the end of two weeks, three gold links at the end of three weeks and so on. The son realized that he had to cut the links of the gold chain to pay the weekly rent. If the son wished to rent the place for 138 weeks, what would be the minimum number of links he would need to cut?
Consider a chessboard with a single Rook. A Rook can move any number of square sideways/forward, but not diagonally. What is the minimum number of moves the Rook needs to make, in order to pass over all the squares on the chessboard and return to the original position?
If you added together the number of 2's in each of the following sets of numbers, which set would contain the most 2's: 1-333, 334-666, or 667-999?
A number. if it is divided by 2 reminder 1, if it is divided by 3 reminder 1, if it is divided by 4 reminder 1, if it is divided by 5 reminder 1, if it is divided by 6 reminder 1, if it is divided by 7 reminder 1, if it is divided by 8 reminder 1, if it is divided by 9 reminder 1, if it is divided by 10 reminder 1, and if it is divided by 11 reminder 0. its greater then 100. which is that number. this puzzle has been appeared in one of written test(aptitude for 20 marks).
21 Answers Infosys, MNBC, NSN,
12 members were present at a board meeting. Each member shook hands with all of the other members before & after the meeting. How many hand shakes were there?
English 
