**Direction (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:** 64 89 36 45 51 67 93 73

Step I: 464 689 136 245 351 467 793 573

Step II: 4464 6989 1636 2545 3151 4767 7393 5373

Step III: 6163 5254 1315 4446 7476 3537 9698 3739

Step IV: 126163 105254 21315 84446 147476 63537 189698 63739

Step V: 910 611 66 1610 1217 1410 1823 1612

And step V is the last step of the given input 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:** 87 54 29 47 68 76 97 33

**Q1. Which of the following number occurs in step 5?**

(a) 1516

(b) 1517

(c) 1518

(d) 1519

(e) 1520

**Q2. If ‘4573 5612 8723 9871 6129’ is the step III of a certain input following the same pattern as mentioned above, then what will be the step IV of that input?**

(a) 114573 115612 158723 169871 76129

(b) 94573 115612 158723 179871 76129

(c) 114573 65612 108723 169871 86129

(d) 114573 115612 108723 179871 86129

(e) None of the above

**Q3. Which of the following number is second number from right end in step IV?**

(a) 147678

(b) 168486

(c) 126567

(d) 147779

(e) None of the above

**Q4. Which of the following sequence of numbers occurred in step III?**

(a) 7678 4345 6567 8486

(b) 9092 3133 7274 4345

(c) 9092 7247 3133 4345

(d) 4345 6567 7678 8486

(e) None of these

**Q5. What is the sum of the 2nd number from the left end and 3rd number from the right end in the step V?**

(a) 1024

(b) 1027

(c) 1034

(d) 1028

(e) None of these

**Directions (6-10): A number arrangement machine is given an input line of numbers; it arranges them following a particular rule. The following is an illustration of an input and its rearrangement.**

**Input: 87 75 86 57 45 92 56 42 39**

Step I: 261 225 258 171 135 276 168 126 117

Step II: 18 14 50 14 18 56 54 14 8

Step III: 9 7 25 7 9 28 27 7 4

Step IV: 2 18 18 2 19 1 20 3

Step V: 1 2 2 3 18 18 19 20

Step V, is the last step of the above arrangement as the intended arrangement is obtained. As per the rules followed in the given steps find out the appropriate steps for the given input:

**Input: 39 63 88 74 56 92 53 86 94**

**Q6. What is the difference between the 3rd number from the right end and 4th number from the left end in step III?**

(a) 21

(b) 23

(c) 26

(d) 20

(e) None of these

**Q7. Which of the following number is third to the left of the number which is 2nd from right in step I of the given input?**

(a) 276

(b) 222

(c) 168

(d) 264

(e) None of these

**Q8. What is the sum of the 4th from the right end and 3rd from the left end in step II of the given input?**

(a) 94

(b) 97

(c) 102

(d) 92

(e) None of these

**Q9. What is the product of smallest number of step III and the second highest number of step V of the given input?**

(a) 92

(b) 110

(c) 121

(d) 126

(e) None of these

**Q10. Which of the following sequence of numbers occurred in step IV?**

(a) 22 14 1 3 23

(b) 22 14 23 1 3

(c) 14 22 23 1 3

(d) 14 1 23 3 0

(e) None of these

**Directions (11-13): Answer the questions based on the information given below.**

In a certain code,

A#B (8) means A is 11m west of B.

A@B (26) means A is 16m east of B.

A%8 (11) means A is 15m north of B.

A&B (17) means A is 10m south of B.

V%W (25), U@V (19), Q&P (13), P#R (11), R@S (15), S%T (16), T&U (36)

**Q11. What is the shortest distance between W and T?**

(a) 13m

(b) 10m

(c) 8m

(d) 9m

(e) None of the above

**Q12. What is the direction of V with respect to T?**

(a) South-west

(b) South-east

(c) North-east

(d) North-west

(e) None of these

**Q13. What is the direction of W with respect to R?**

(a) South-west

(b) South-east

(c) North-east

(d) North-west

(e) None of these

**Directions (14-15): Answer the questions based on the information given below.**

Point M is 4m north of point L and 5m west of point N. Point O is 16m east of point P and 8m south of point N. Point R is 9m east of point Q and 6m north of S. Point Q is 10m north of point P.

**Q14. What is the shortest distance between S and L?**

(a) 1m

(b) 2m

(c) 3m

(d) 4m

(e) None of the above

**Q15. What is the direction of R with respect to M?**

(a) South-west

(b) South-east

(c) North-east

(d) North-west

(e) None of these

**Solutions**

**Solutions(1-5):**

**Sol.**

In step I, a number obtained by subtracting 2 from 1st digit of each number is written ahead of each number of the given input.

In step II, last digit of each number of step I is written just after first digit of the number, i.e., if a number let’s say 189 given in step I, then in step II it will become 1989.

In step III, first arrange all the numbers in ascending order from left, then interchange 1st digit with 2nd digit and 3rd digit with 4th digit in each number.

In step IV: Sum of 1st and 3rd digit of each number is written ahead of each number given in step III.

In step V: Sum of 1st three digits written in front of the sum of the remaining digits of each number of step IV.

**Given input: 87 54 29 47 68 76 97 33**

Step 1: 687 354 029 247 468 576 797 133

Step II: 6787 3454 0929 2747 4868 5676 7797 1333

Step III: 9092 3133 7274 4345 8486 6567 7678 7779

Step IV: 189092 63133 147274 84345 168486 126567 147678 147779

Step V: 1811 106 1213 159 1518 918 1221 1223

**S1. Ans. (c)**

**S2. Ans. (c)**

**S3. Ans. (a)**

**S4. Ans. (b)**

**S5. Ans. (a)**

**Solutions(6-10):**

**Sol.**

Step I: All the numbers are multiplied by 3.

Step II: The first and the last digit of the number are added and then the sum is multiplied by the second digit.

Step III: All the numbers are divided by 2.

Step IV: The absolute difference of 1st and 2nd number is written. Similarly, absolute difference of 2nd and 3rd number is written. This process is done for the remaining pairs of numbers.

Step V: All numbers are arranged in ascending order from left to right.

**Input: 39 63 88 74 56 92 53 86 94**

Step I: 117 189 264 222 168 276 159 258 282

Step II: 8 80 36 8 54 56 50 50 32

Step III: 4 40 18 4 27 28 25 25 16

Step IV: 36 22 14 23 1 3 0 9

Step V: 0 1 3 9 14 22 23 36

**S6. Ans. (a)**

**S7. Ans. (c)**

**S8. Ans. (d)**

**S9. Ans. (a)**

**S10. Ans. (b)**