**Direction (Q.1-5): Read the following information carefully and answer the questions:**

A number arrangement machine arranges two digit numbers into a typical manner. Each step takes gives output taking input from the previous step. The following is an illustration of input and rearrangement. Using the illustration answer the question given below:

**Q.1 What will be the cube of the final step?**

(A) 27

(B) 64

(C) 1

(D) 125

(E) None of these

**Q.2 What will be the resultant number if the sum of the digits of the smallest number is multiplied by the sum of the digits of the largest number in Step I?**

(A) 32

(B) 54

(C) 60

(D) 48

(E) 50

**Q.3 Find the average number of Step II?**

(A) 18.5

(B) 19

(C) 20.5

(D) 17

(E) None of these

**Q.4 Find the resultant number if the sum of the numbers of the Step III is divided by the final Step.**

(A) 4

(B) 2

(C) 5

(D) 6

(E) None of these

**Q.5 What is the difference between the largest number of Step II and the smallest number of Step I?**

(A) 12

(B) 25

(C) 8

(D) 17

(E) 20

**Answer 1. B.**

**Explanation:**

Final Step = 4

Cube = 4^{3} = 64

**Answer 2****. D.**

**Explanation:**

Smallest number of Step I = 04

Largest number of Step I = 34

According to the question = (3 + 4) × (0 + 4)

= 12 × 4 = 48

**Answer 3. A.**

**Explanation:**

(16 + 21)/2 = 37/2 = 18.5

**Answer 4. E.**

**Explanation:**

Step III = 2, 6

Step IV = 4

According to the question,

= (6 + 2)/ 4 = 8/4 = 2

**Answer 5. D.**

**Explanation:**

Lagest number of Step II = 21

Smallest number of Sep I = 04

Difference = 21 – 4 = 17

**Detailed Explanation:**

**Step I:** Difference between the first digit of the first number and the second digit of the fourth number. Difference between the second digit of the first number and the first digit of the fourth number.

(9 – 7) = 2, (8 – 3) = 5

**Step II:** Add both the digit of the first number and then multiply with the first digit of the second number.

(2 + 5) × 3 = 7 × 3 = 21

Add both the digit of the third number and then multiply with the second digit of the second number.

(0 + 4) × 4 = 4 × 4 = 16

**Step III:** Multiply both the digit of the first number.

2 × 1 = 2

Multiply both the digit of the second number.

1 × 6 = 6

**Step IV:** Add both the number and divide by 2.

(2 + 6)/ 2 = 8/2 = 4