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

A number arrangement machine arranges two-digit numbers in 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 Find the average number of Step III.**

(A) 8

(B) 5

(C) 5.5

(D) 7.5

(E) None of these

**Q.2 What will be the resultant number if the double of the largest number of Step II is divided by 5?**

(A) 8.4

(B) 1.5

(C) 4.8

(D) 3.5

(E) None of these

**Q.3 Which of the following will be the half of the last step?**

(A) 18.5

(B) 19

(C) 20.5

(D) 17

(E) None of these

**Q.4 What will be the cube of the smallest number of Step III?**

(A) 8

(B) 27

(C) 125

(D) 1

(E) None of these

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

(A) 32

(B) 25

(C) 58

(D) 47

(E) None of these

**Answer 1. (C) 5.5**

**Explanation:**

Step III = 9, 2

Average = (9 + 2)/ 2 = 5.5

**Answer 2****. (A) 8.4**

**Explanation:**

Largest number of Step II = 21

According to the question = (2 × 21) ÷ 5

= 42 ÷ 5 = 8.4

**Answer 3. (D) 9**

**Explanation:**

Last Step = 18

Half of the last step = 9

**Answer 4. (A) 8**

**Explanation:**

Smallest number = 2

Cube = 2^{3} = 8

**Answer 5. (E) None of these**

**Explanation:**

Largest number of Step I = 94

Smallest number of Sep I = 49

Difference = 94 – 49 = 45

**Detailed Explanation:**

**Step I:** Multiply the first digit of the first number and the first digit of the second number then divide by 2. Multiply the second digit of the first number and the second digit of the second number then divide by 2.

(8 × 1)/2 = 4, (9 × 2)/ 2 = 9

**Step II:** Add the first digit all the numbers.

4 + 6 + 9 = 19

Add the second digit of all the numbers.

9 + 8 + 4 = 21

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

1 × 9 = 9

Multiply both the digit of the second number.

2 × 1 = 2

**Step IV:** Multiply both the numbers.

9 × 2 = 18