Arithmetic Reasoning – Railway Reasoning

Total Questions: 52

21. If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 58132745, what will be the sum of the digits which are second from the left and third from the right? [Group - D 30/08/2022 ( Morning)]

Correct Answer: (a) 15
Solution:

Given number : 58132745 after 1 is added to each odd digit and 1 is subtracted to each even digit then the number becomes 67241836
Sum of the digits which are second from the left and third from the right = 7 + 8 = 15

22. If 1 is subtracted from each odd digit and 2 is added to each even digit in the number 2965413, what will be the average of the largest and smallest digits thus formed? [Group - D 05/09/2022 (Afternoon)]

Correct Answer: (d) 4
Solution:

Given number = 2965413
Odd digits = 9, 5, 1, 3 & Even digits = 2, 6, 4
So, Odd digits - 1 = 8, 4, 0, 2
Again, Even digits + 2 = 4, 8, 6
According to question :-
Avg, of largest digit & smallest digit

23. If 1 is subtracted from each odd digit and 2 is added to each even digit in the number 6472311, what will be the sum of the digits that are second from the left and second from the right in the new number thus formed? [Group - D 05/09/2022 (Afternoon)]

Correct Answer: (b) 6
Solution:

Given number = 6472311
Odd digits = 7, 3, 1, 1 & Even digits = 6, 4, 2
So, Odd digits - 1 = 6, 2, 0, 0
Again, Even digits + 2 = 8, 6, 4
According to question :- 8664200
sum of the digits that are second from the left and second from the right in the
new number
= 6 + 0 = 6

24. This question is based on the five, three-digit numbers given below. [Group - D 05/09/2022 (Evening)]

(left) 221 293 320 423 426 (right)
(Example: 246-first digit = 2, second digit = 4, third digit = 6)
NOTE -All operations to be done from left to right.
What will be the resultant if the second digit of the largest number is added to the first digit of the smallest number?

Correct Answer: (d) 4
Solution:

Given
(left) 221 293 320 423 426 (right)
Now, largest number = 426
second digit of the largest number = 2
Smallest number = 221
First digit of the smallest number = 2
Therefore, resultant = 2 + 2 = 4

25. This question is based on five, three digit numbers given below. [Group - D 06/09/2022 (Evening)]

(Left) 724 893 720 525 492 (Right)
(for example: in the number 246 first digit 2, second digit 4, third digit = 6)
Note All operations will be performed from left to right.
If the third digit of the highest number is added to the first digit of the lowest number, then what will be the result?

Correct Answer: (c) 7
Solution:

Given: 724 893 720 525 492
Third digit of highest number(893) = 3,
and first digit of lowest number(492) = 4
By applying condition as per question we get,
Resultant number = 3 + 4 = 7

26. If 2 is subtracted from each odd digit of the number 83752964, and 1 is added to each even digit, then what will be the sum of the digits which are third from the left and second from the right in the new number so formed? [Group - D 06/09/2022 (Evening)]

Correct Answer: (a) 12
Solution:

Given number: 83752964 By applying the condition as per question we get,
(Left) 91 5 337 7 5 (RIght)
Required sum of digits = 5 + 7 = 12

27. This question is based on the five, three-digit numbers given below. [Group - D 08/09/2022 (Morning)]

(Left) 577 534 249 842 718 (Right)
(Example: 697 - first digit - 6, second digit = 9, third digit = 7)
NOTE: All operations to be done from left to right.
If 2 is added to the second digit of every number, in how many numbers will the second digit be exactly divided by the first digit of that number?

Correct Answer: (a) 2
Solution:

(Left) 577 534 249 842 718 (Right)
As per given instruction, after adding 2 to second digit of every number we get,
(Left) 5 9 7 5 5 4 2 6 9 8 6 2 7 3 8 (Right)
Hence, Numbers in which Second digit is exactly divisible by first digit of that
number = 2
i.e. (5 5 4) and (2 6 9)

28. This question is based on the five, three-digit numbers given below: [Group - D 08/09/2022 (Afternoon)]

(Left) 478 635 316 253 675 (Right) (Example: 697- First digit = 6, second digit = 9 and third digit = 7)
(NOTE - All operations to be done from left to right.)
What will be the resultant if the second digit of the largest number is added to the first digit of the smallest number?

Correct Answer: (a) 9
Solution:

(Left) 478 635 316 253 675 (Right)
As per given instructions,
Second digit of the Largest number i.e. (675) is 7
First digit of the smallest number i.e. (253) is 2
Resultant = 7 + 2 = 9

29. This question is based on the five, three-digit numbers given below. [Group - D 08/09/2022 (Evening)]

(Left) 634 145 317 534 621 (Right) (Example: 697- first digit = 6, second digit = 9, third digit = 7)
NOTE: All operations to be done from left to right.
What will be the resultant if the third digit of the largest number is added to the second digit of smallest number?

Correct Answer: (a) 8
Solution:

Given,
(Left) 634 145 317 534 621 (Right)
According to condition if we add largest number’s (634) third digit to smallest number’s (145) second digit we get, 4 + 4 = 8

30. This question is based on the five, three-digit numbers given below. [Group - D 09/09/2022 (Afternoon)]

(left) 434 353 423 224 322 (right) (Example: 246-first digit - 2, second digit- 4, third digit - 6)
NOTE - All operations to be done from left to right.
If 4 is added to the second digit of every number, in how many numbers thus formed will the second digit be exactly divisible by the third digit?

Correct Answer: (b) Three
Solution:

(left) 434 353 423 224 322 (right)
As per given instructions after adding 4 to the second digit of every number we get,
After adding 4 (left) 474 393 463 264 → 362 (right) ATQ,
Numbers whose second digit exactly divisible by third digit are 3 i.e. (3 9 3), (4 6 3), (3 6 2)