**Directions (1-5): A number arrangement machine when given an input line of numbers rearranges them following a particular rule in each step. The given is an illustration of input and rearrangement.**

**Input: 684 957 735 407 482 548 747 277**

Step I: 36 63 45 33 28 51 36 32

Step II: 648 894 690 374 454 497 711 245

Step III: 244 373 453 496 647 689 710 893

Step IV: 10 13 12 19 17 23 8 20

Step V: 20 12 10 8 23 19 17 13

As per the rules followed in the steps given above, find out in each of the given questions the appropriate step for the input given.

**Input: 456 728 731 842 994 986 642 814**

**Q1. Which of the following number is 4th from the left side in step IV?**

(a) 19

(b) 16

(c) 22

(d) 12

(e) None of these

**Q2. Which of the following number is 6th from the right side in step II?**

(a) 698

(b) 814

(c) 950

(d) 917

(e) None of these

**Q3. What is the sum of the numbers which is 3rd from the right end in step III and 4th number from the left end in step IV?**

(a) 864

(b) 893

(c) 835

(d) 992

(e) None of these

**Q4. What is the product of number which is 2nd from the left end in step IV and the number which is 3rd from the right end of step V?**

(a) 168

(b) 144

(c) 132

(d) 165

(e) None of these

**Q5. Which of following step is the final step?**

(a) 22 22 18 16 14 12 19 5

(b) 22 18 22 16 12 14 19 5

(c) 22 22 18 14 16 19 12 5

(d) 22 22 16 14 18 12 19 5

(e) None of these

**Directions (6-7): Answer the questions based on the information given below.**

If X % Y means X is mother of Y,

X$Y means X is father of Y,

X# Y means X is sister of Y,

X*Y means X is brother of Y,

X+Y means X is wife of Y,

X@Y means X is husband of Y

**Q6. If ‘P%S$V#T@U%M’ is true then how is V related to M?**

(a) Father

(b) Brother

(c) Aunt

(d) Grandfather

(e) Grandmother

**Q7. If ‘Z$L*X+S$Q#B’ is true then how is B related to S?**

(a) Father

(b) Sister

(c) Daughter

(d) Son

(e) Cannot be determined

**Directions (8-9): Answer the questions based on the information given below.**

If, P@Q means P is the mother of Q,

P% Q means P is the sister of Q,

P$Q means P is the father of Q,

P #Q means P is the brother of Q,

P&Q means P is the daughter of Q.

**Q8. In expression ‘P%Q$R#S@T&U #V’ how is R related to T?**

(a) Uncle

(b) Aunt

(c) Mother

(d) Father

(e) None of the above

**Q9. In expression ‘A&B$C&D%E%F&G’ how is G related to A?**

(a) Paternal Grandfather

(b) Maternal Grandfather

(c) Maternal Grandmother

(d) Either (b) or (c)

(e) None of the above

**Directions (10-10): Answer the questions based on the information given below.**

S × T means S is the wife of T,

S – T means S is the brother of T,

S + T means S is the sister of T,

S ÷ T means S is the father of T.

**Q10. How is W related to H in the expression ‘T÷H×K–L÷W’? **

(a) Son

(b) Nephew

(c) Niece

(d) Son- in -law

(e) None of the above

**Solutions**

**Solution (1-5): **

**Sol.** Different logic is applied in each step.

Step I: Number in step I are arranged based on certain conditions.

1. If the sum of the digits of a number is an even number, then multiply the sum by 2.

2. If the sum of the digits of a number is an odd number, then multiply the sum by 3.

Step II: Now, subtract each number of step I from the number given in input such as the first number of step I from the left side is subtracted from number of the input from the left side and so on…

Step Ill: Arrange the number given in step II, in ascending order from left to right after subtracting 1 from each of the numbers.

Step IV: The sum of digits of the number in step III is written from left to right.

Step V: First arrange all the even numbers in descending order then arrange all the odd numbers in descending order.

**Given input: 456 728 731 842 994 986 642 814 **

Step I: 45 51 33 28 44 69 24 39

Step II: 411 677 698 814 950 917 618 775

Step III: 410 617 676 697 774 813 916 949

Step IV: 5 14 19 22 18 12 16 22

Step V: 22 22 18 16 14 12 19 5

**S1. Ans. (c)**

**S2. Ans. (a)**

**S3. Ans. (c)**

**S4. Ans. (a)
**

**S5. Ans. (a)**