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The number of 6-digit even numbers that can be made from the number 214635 are:

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The number of 6-digit even numbers that can be made from the number 214635 are:  a) 18 b) 72  c) 120 d) 360 Answer:  D from the question we can see we have to form 6 digit number(no repetition) so, let us six blanks as show below : _ _ _ _ _ _  if the number has to be even it has to be end with even number. 214635   from the above digits even numbers are 2,4,6 so, the units digit is 2 or 4 or 6 so, the no.of.ways is 3 remaining 5 digits can be filled with 5! ways  so, the answer is 5!x3 ways                             = 360 ways  remaini

The number of 6-digit even numbers that can be made from the number 214635 are:

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The number of 6-digit even numbers that can be made from the number 214635 are:  a) 18 b) 72  c) 120 d) 360 Answer:  D from the question we can see we have to form 6 digit number(no repetition) so, let us six blanks as show below : _ _ _ _ _ _  if the number has to be even it has to be end with even number. 214635   from the above digits even numbers are 2,4,6 so, the units digit is 2 or 4 or 6 so, the no.of.ways is 3 remaining 5 digits can be filled with 5! ways  so, the answer is 5!x3 ways                             = 360 ways  remaini

The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated are? | cts previous year aptitude questions

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 The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated are? ( cts previous year aptitude questions ) a) 960 b)2880 c)288 d)576 Answer: D The concept used is Permutations  . The keyword to be  observed is "garland" i.e , the circular permutations  (n-1)! ways. 8 different flowers can be arranged in 7! ways { (n-1)! } The 4 flowers never can be separated . let us consider those 4 flowers as a one unit. now , the total number of ways are 4! The flowers that are put together can arrange themselves in 4! ways  So, The total ways are 4!x4!  24 x 24 576 ways  

If the sum of 4 times a number A and three times a number B is equal to the sum of number B and seven times the number A, then what is the value of A:B? | CTS previous Aptitude question

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 If the sum of 4 times a number A and three times a number B is equal to the sum of number B and seven times the number A, then what is the value of A:B? ( CTS Aptitude question) Options:  a) 2:3 b) 3:2 c) 4:3 d) 3:4 Answer : A The above question can be written in below form  4A + 3B = B + 7A 4A - 7B = B - 3B -3A  = -2B hence the answer is A:B = 2:3 

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If the sum of 4 times a number A and three times a number B is equal to the sum of number B and seven times the number A, then what is the value of A:B? | CTS previous Aptitude question