A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.
INPUT : 45 81 66 59 18 20 10 09 51 71
STEP 1 : 59 45 81 66 18 20 10 09 51 71
STEP 2 : 59 66 45 81 18 20 10 09 51 71
STEP 3 : 59 66 09 45 81 18 20 10 51 71
STEP 4 : 59 66 09 18 45 81 20 10 51 71
STEP 5 : 59 66 09 18 45 81 71 20 10 51
STEP 6 : 59 66 09 18 45 81 71 51 20 10
Question 1:
If number 55 and 78 were added to the sequences , what would be their positions in the final sequences?(a) 1st , 9th
d) 3rd , 8th
Question 2:
This sequence is put in the same machine48 , 74 , 86 , 98 , 09 , 29 . What would be the last number in the final sequence?
(a) 29
Question 3:
For the sequence in question (2 ) which number occupies position 4?(a) 74
Question 4:
How many steps are there in the output series in case of sequence in question (2)?(a) 4
Question 5:
This sequence is put in the same machine56 17 07 76 94 54 What would be the last number in the final sequence?
(a) 56
ANSWERS:
(1) Here the two digits of the numbers are added and the number with the highest sum is placed first. For eg. 5+9 = 14 , 6+6 = 12 , therefore , 59 gets placed before 66.In case of equal sums , the one with smaller tens digit is placed first .55 = 5+5 = 10 ; 7+8 = 15
Since 15 is higher than 14 i.e. (5+ 9) for 59 ; it would be placed first and 55 would be placed before 09 i.e. fourth position. Hence (b)
(2) INPUT : 48 74 86 98 09 29
STEP 2 : 98 86 48 74 09 29
STEP 3 : 98 86 48 29 74 09
Therefore number 09 is placed last. Correct answer is (b)
(3) 4th position is occupied by 29.Hence (c)
(4) INPUT : 48 74 86 98 09 29
STEP 1 : 98 48 74 86 09 29
STEP 2 : 98 86 48 74 09 29
STEP 3 : 98 86 48 29 74 09
There are 3 steps. Hence (b)
(5) (d) 07 is the right answer
INPUT : 56 17 07 76 94 54
STEP 1: 76 56 17 07 94 54
STEP 2: 76 94 56 17 07 54
STEP 3 : 76 94 56 54 17 07
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