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Q:

Puzzle : Sequence of numbers 

Additional Details

Sequence of numbers are 1, 11, 21, 1211, 111221. What will be the next one in the above sequence?

 

Answer:
Q:

A number of cats got together and decided to kill between them 999919 rats. Every cat killed an equal number of rats. Each cat killed more rats than there were cats. How many rats do you think that each cat killed ?

A) 1009 B) 991
C) 2000 D) 1000
 
Answer & Explanation Answer: A) 1009

Explanation:

Given total number of rats = 999919

999919 = 1000000 - 81 = = (1000+9)(1000-9) = 1009 x 991.
Since there were more rats than there were cats, 991 cats killed 1009 rats each.

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4 44
Q:

A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
Two faces measuring 4 cm x 1 cm are coloured in black.
Two faces measuring 6 cm x 1 cm are coloured in red.
Two faces measuring 6 cm x 4 cm are coloured in green.
The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

How many cubes will have green colour on two sides and rest of the four sides having no colour ?

A) 8 B) 24
C) 16 D) 4
 
Answer & Explanation Answer: A) 8

Explanation:

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There are 16 small cubes attached to the outer walls of the cuboid.
Therefore remaining inner small cubes will be the cubes having two sides green coloured.
So the required number = 24 - 16 = 8

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2 77
Q:

Guess which number should be replaced by the "?" in the given series 0,10,1110,3110,132110,?

Answer

1113122110


In given series 2nd number gives number of  which digits present in the 1st number and so on continues for 3rd ,4th,...


Here 1st no. has only one zero, so  2nd no. is 10 and 2nd no. has one 1 and one 0,so 3rd no. is 1110, so like that 5th no. has one 1,one 3,one 2,two 1's and one 0.So the next no. is 1113122110. 


 

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7 171
Q:

In a certain city, 5% of all the persons in town have unlisted phone numbers. If you select 100 names at random from that city's phone directory, how many people selected will have unlisted phone numbers?

Answer

  Zero. You are selecting names from the list, so they are all listed.

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2 236
Q:

Which number multiplied by itself will give the output as 12345678987654321 ?

Answer

11 * 11 = 121


111 * 111 = 12321


what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321.


so to get 12345678987654321 we need to get square of 9 1's(111,111,111).

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