(1-5) Directions: Study the following information to answer the given question.

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

1.If number 55 and 78 were added to the sequences , what would be their positions in the final sequences?

(a) 1st , 9th

( b) 4th , 1st

(c) 3rd , 1st

d) 3rd , 8th

2.This sequence is put in the same machine

48 , 74 , 86 , 98 , 09 , 29 . What would be the last number in the final sequence?

(a) 29

(b) 09

(c) 98

(d) 74

3.For the sequence in question (2 ) which number occupies position 4?

(a) 74

(b) 48

(c) 29

(d) 86

4.How many steps are there in the output series in case of sequence in question (2)?

(a) 4

(b)3

(c) 5

(d) 6

5.This sequence is put in the same machine

56 17 07 76 94 54 What would be the last number in the final sequence?

(a) 56

(b) 94

(c) 54

(d) 07

(e)76

**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 1 : 98 48 74 86 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