Reasoning Quiz For Bank Mains Exam 2024-21st January

Directions (1-5): When a number arrangement machine is given an input line of numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement.

Input: 64533   75894   35467   85434   61346
Step I: 54633   85794   45367   45834   31646
Step II: 85794   45367   45834   54633   31646
Step III: 32579   28536   16583   15463   18164
Step IV: 1079   1536   1283   1063   1064
Step V: 1063   1064   1079   1283   1536
Step VI: 6310   6410   9710   8321   6531
And step VI is the last step of the rearrangement. As per the rules followed in the above step, find out the appropriate steps for the given input.
Input: 23954   77874   15976   89336   75567

 Q1. Which of the following is Step III of the given input after the rearrangement?

(a) 32777   35576   18983   54517   36325
(b) 35576   18983   54517   36325   32777
(c) 32777   18983   35576   54517   36325
(d) 32777   35576   54517   18983    36325
(e) None of these

Q2. What is the sum of the highest and the lowest number in step VI of the given input after the rearrangement?

(a) 14052
(b) 14042
(c) 13131
(d) 12942
(e) None of these

Q3. Which of the following combination of numbers, represents the 3^rd number from the left end in step V and 2^nd number from the right end in step II, respectively of the given input after the rearrangement?

(a) 1277, 87774
(b) 1076, 55767
(c) 1376, 95176
(d) 1225, 93254
(e) None of these

Q4. What is the difference between highest and lowest number in step V of the given input after the rearrangement?

(a) 652
(b) 658
(c) 731
(d) 655
(e) None of these

Q5.  Which number is third from the left end in step II?

(a) 39836
(b) 55767
(c) 95176
(d) 87774
(e) None of these

Solutions

Solutions (1-5):
Sol. In Step 1: The first three digits in all the numbers from the left end, are written in reverse order with in the number. No change is made to the remaining digits.
Ex-(64533) will be arranged as (54633).
In Step II: The numbers are arranged in descending order from extreme left end (according to the sum of the digits). (Number with the highest sum of digits will be arranged at extreme left end and the number with the 2nd highest sum of digits will be arranged after the 1st number and so on).
In Step III: The product of 1st and last digit from the left end of the number is written (from the left end) at the starting of each number, followed by the remaining digits in the same sequence to form a five-digit number. Ex- (85794) will be arranged as (32579).
(8 × 4) = 32, and (579) will be written in same sequence, so (32579).
In Step IV: The sum of first three digits from the left end is written at the left end of each number within the number, followed by remaining digits in the same sequence to form a four-digit number. Ex- (32579) will be arranged as (1079).
(3+2+5) = 10, and (79) will be written in same sequence, so (1079).
In Step V: All the numbers are arranged in ascending order from the extreme left end.
In Step VI: All the digits of each number are arranged in descending order within the number.
Input: 23954   77874   15976   89336   75567
Step I: 93254   87774   95176   39836   55767
Step II: 87774   55767   39836   95176   93254
Step III: 32777   35576   18983   54517   36325
Step IV: 1277   1376   1883   1417 1225
Step V:  1225   1277   1376   1417   1883
Step VI: 5221   7721   7631   7411   8831

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

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