Reasoning Quiz For Bank Mains Exam 2024-24th February

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

Input: 24 56 36 42 18 88 98 46 38 58
Step I: 12 28 18 21 9 44 49 23 19 29
Step II: 21 82 81 12 9 44 94 32 91 92
Step III: 24 85 84 15 12 47 97 35 94 95
Step IV: 48 170 168 30 24 94 194 70 188 190
Sep V: 58 179 176 37 30 99 198 73 190 191
Step VI: 13 17 14 10 3 18 18 10 10 11
Step VII: 9 21 12 0 9 24 24 0 0 3
Step VIII: 24 24 21 12 9 9 3 0 0 0

This is the last step of the rearrangement, as the desired arrangement is obtained. As per rules followed in above steps, find out in each of the questions the appropriate step for the given input.

Input: 84 36 18 34 64 28 74 16 56 78

Q1. How many steps are required to complete this arrangement?
(a) 6
(b) 8
(c) 5
(d) 7
(e) None of these

Q2. Which of the following element is 6th from the right end in step IV in the above arrangement?
(a) 148
(b) 22
(c) 152
(d) 52
(e) None of these

Q3. What is the product of 3rd and 6th elements from the left end in the third last step?
(a) 70
(b) 25
(c) 60
(d) 24
(e) None of these

Q4. Which of the following is the step IV of the above arrangement?
(a) 54 188 24 148 52 88 152 22 170 192
(b) 54 168 24 184 52 88 152 22 170 192
(c) 54 168 24 148 52 88 125 22 170 192
(d) 54 168 24 148 52 88 152 22 170 192
(e) None of these

Q5. Which element comes exactly between the element which is fifth from the left and fourth from the right in the penultimate step?
(a) 16
(b) 6
(c) 12
(d) 9
(e) None of these

Solutions

Solutions (1-5):
Sol.
In Step I: All the numbers are divided by 2. (84/2=42)
In Step II: The position of the digits is reverse within each number. (42 = 24)
In Step III: Addition of 3 in each number. (24+3=27)
In Step IV: All the numbers are multiplied by 2. (27×2=54)
In Step V: Addition of +10, +9, +8, +7, +6, +5, +4, +3, +2, +1 (54 + 10 = 64, 168 + 9 = 177)
In Step VI: Addition of the digits in each number. (64 = 6 + 4 = 10)
In Step VII: Multiplication of 3 within the digits. (1 x0x3 = 0)
In Step VIII: Arrange the number in the descending order.

Input: 84 36 18 34 64 28 74 16 56 78
Step I: 42 18 9 17 32 14 37 8 28 39
Step II: 24 81 9 71 23 41 73 8 82 93
Step III: 27 84 12 74 26 44 76 11 85 96
Step IV: 54 168 24 148 52 88 152 22 170 192
Step V: 64 177 32 155 58 93 156 25 172 193
Step VI: 10 15 5 11 13 12 12 7 10 13
Step VII: 0 15 15 3 9 6 6 21 0 9
Step VIII: 21 15 15 9 9 6 6 3 0 0

S1. Ans. (b)
S2. Ans. (d)
S3. Ans. (c)
S4. Ans. (d)
S5. Ans. (b)

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