Annie, Bunnie, Candy and Dina visited Edy on 14th February. The time of each visit was as follows: Annie at 8:00 Bunnie at 9:00 Candy at 10:00 Dina at 11:00 Each time mentioned above may be either AM or PM. Candy did not visit Edy between Bunnie and Dina. At least one female visited Edy between Annie and Bunnie. Annie did not visit Edy before both Candy and Dina. Can you tell at what time did they individually visit Edy?

Annie, Bunnie, Candy and Dina visited Edy on 14th February.

The time of each visit was as follows:
   Annie at 8:00
   Bunnie at 9:00
   Candy at 10:00
   Dina at 11:00
Each time mentioned above may be either AM or PM.
Candy did not visit Edy between Bunnie and Dina.
At least one female visited Edy between Annie and Bunnie.
Annie did not visit Edy before both Candy and Dina.

Can you tell at what time did they individually visit Edy?

Solution :

Bunnie (9:00AM) - Dina (11:00AM) - Annie (8:00PM) - Candy (10:00PM)

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The secret agent X emailed a code word to his head office. They are "AIM DUE OAT TIE MOD". But four of these five words are fake and only one contains the information. The agent X also mailed a sentence as a clue - if I tell you any one character of the code word, you would be able to tell the number of vowels in the code word. Can you tell which is the code word?

The secret agent X emailed a code word to his head office. They are "AIM DUE OAT TIE MOD". But four of these five words are fake and only one contains the information. The agent X also mailed a sentence as a clue - if I tell you any one character of the code word, you would be able to tell the number of vowels in the code word. Can you tell which is the code word?

Solution:

The code word is TIE.

If you were told any one character of MOD, then you would not be able to determine whether the number of vowels are one or two. e.g. if you were told M, there are two words with M - AIM with 2 vowels and MOD with 1 vowel. So you would not be able to say the number of vowels. Same arguments can be given for characters O and D. Hence, the word with any one of M, O or D is not a code word i.e. AIM, DUE, OAT and MOD are not the code word. Thus, TIE is the code word.
T : two words - TIE and OAT, both with 2 vowels
I : two words - TIE and AIM, both with 2 vowels
E : two words - TIE and DUE, both with 2 vowels.

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There is a shortage of tubelights, bulbs and fans in a village - Kharghar. It is found that * All houses do not have either tubelight or bulb or fan. * exactly 19% of houses do not have just one of these. * atleast 67% of houses do not have tubelights. * atleast 83% of houses do not have bulbs. * atleast 73% of houses do not have fans. What percentage of houses do not have tubelight, bulb and fan?

There is a shortage of tubelights, bulbs and fans in a village - Kharghar. It is found that * All houses do not have either tubelight or bulb or fan. * exactly 19% of houses do not have just one of these. * atleast 67% of houses do not have tubelights. * atleast 83% of houses do not have bulbs. * atleast 73% of houses do not have fans. What percentage of houses do not have tubelight, bulb and fan? 

Solution :
42% houses do not have tubelight, bulb and fan. Let's assume that there are 100 houses. Hence, there should be total 300 items i.e. 100 tubelights, 100 bulbs and 100 fans. From the given data, we know that there is shortage of atleast (67+83+73) 223 items in every 100 houses. Also, exactly 19 houses do not have just one item. It means that remaining 81 houses should account for the shortage of remaining (223-19) 204 items. If those remaining 81 houses do not have 2 items each, there would be a shortage of 162 items. But total of 204 items are short. Hence, atleast (204-162) 42 houses do not have all 3 items - tubelight, bulb and fan. Thus, 42% houses do not have tubelight, bulb and fan

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Choose 3 integers such that their sum and product have the same value and none of the 3 integers are equal?

Choose 3 integers such that their sum and product have the same value and none of the 3 integers are equal?

Solution :

* +a , 0 , -a

* 3,2,1

* -3 , -2 , -1

                         

                                                          

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