Arithmetic Reasoning – Railway Reasoning

Total Questions: 52

11. If 2 is subtracted from each odd digit and 1 is added to each even digit in the number 83252769, how many digits will occur more than once in the new number thus formed? [Group - D 17/08/2022 (Evening)]

Correct Answer: (c) Two
Solution:

The new number thus formed = 91333577
In this number 3 and 7 occur more than once.

12. This question is based on the five, three-digit numbers given below. [Group - D 18/08/2022 (Morning)]

(Left) 158 438 182 325 230 (Right)
If 5 is added to the first digit of every number, in how many numbers will the first digit be exactly divisible by the second digit?

Correct Answer: (a) 2
Solution:Given series:
(Left) 158 438 182 325 230 (Right)
On adding 5 to first digit of each of the above mentioned numbers
658 938 682 825 730
Two numbers whose 1st digit is completely divisible by 2nd digit = 93 8, 82 5

13. This question is based on the five, four-digit numbers given below: [Group - D 18/08/2022 (Afternoon)]

(Left) 4178 6235 3716 2253 5675 (Right)
(Example: 6972 - First digit = 6, second digit = 9, third digit = 7 and fourth digit = 2)
(NOTE - All operations to be done from left to right.)
If 3 is added to the first digit and 2 is subtracted from the last digit of every number, what will be the product of the third digit of the largest number and the second digit of the smallest number?

Correct Answer: (c) 6
Solution:

(Left) 4178 6235 3716 2253 5675 (Right)
After adding 3 to First digit and subtracting 2 to last digit of every number,
(Left) 7176 9233 6714 5251 8673 (Right) A/q, Third digit of largest Number i.e. 9233 = 3
Second digit of the smallest number i.e. 5251 = 2
Their product = 3 x 2 = 6.

14. If each of the digits in the number given below is arranged in the descending order from left to right, what will be the product of the digits that are third from the left and fourth from the right in the new number thus formed? [Group - D 22/08/2022 (Afternoon)]

(Left) 521987624 (Right)

Correct Answer: (b) 28
Solution:

Given letter series:
(Left) 521987624 (Right)
After arranging it in descending order
(Left) 987654221 (Right)
According to question
Third digit from the left = 7
Fourth digit from the right = 4
Their product = 7 x 4 = 28

15. If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 53478231, what will be the sum of the digits that are second from the left and second from the right? [Group - D 22/08/2022 (Afternoon)]

Correct Answer: (b) 8
Solution:

Given number: 53478231 After adding 1 in each odd digit and substracting 2 in each even digit then the number becomes 64286042
Hence sum of second left and second right digits = 4 + 4 = 8

16. The following question is based on the given six, 4-digit numbers. [Group - D 22/08/2022 (Afternoon)]

(Left) 8347, 5486, 9627, 4913, 8721, 6418 (Right)
(For example, 2456: 6 = digit in unit's place, 5 = digit in ten's place, 4 = digit in hundred's place, 2 = digit in thousand's place)
NOTE - All operations to be done from left to right.
What will be the resultant if the digit in hundred's place of the largest number is added to the digit in thousand's place of the smallest number?

Correct Answer: (d) 10
Solution:

Hundredth place of the largest number (9627) = 6
Thousand’s place of the smallest number (4913) = 4 T
heir sum= 6 + 4 = 10.

17. If each of the digits in the number given below is arranged in the descending order from left to right, what will be the sum of the digits that are second from the left and third from the right in the new number thus formed? [Group - D 24/08/2022 (Evening)]

(Left) 259812357 (Right)

Correct Answer: (c) 10
Solution:

(Left) 259812357 (Right)
On arranging it in descending order the number becomes 987553221
Now, second digit from left in the new
number = 8
And, third digit from right in the new
number = 2
Hence required digit sum = 8 + 2 = 10

18. If 1 is added to each even digit and 1 is subtracted from each odd digit in the number 457943246, what will be the sum of the digits that are fourth from the left and fourth from the right? [Group - D 25/08/2022 (Morning)]

Correct Answer: (b) 10
Solution:

Given number is 457943246 If 1 is added to each even digit and 1 is subtracted from each odd digit, we get 546852357
4th digit from left = 8
4th digit from right = 2
Hence required sum = 8 + 2 = 10

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

(Left) 248 382 425 127 335 (Right)
(Example-697- First digit = 6, second digit = 9 and third digit = 7)
NOTE - All operations to be done from left to right.
If 3 is added to the first digit of every number, in how many numbers will the first digit be exactly divisible by the second digit?

Correct Answer: (a) 2
Solution:

248(2 + 3 = 5 not divided by 4),
382( 3 + 3 = 6 not divided by 8),
425(4 + 3 = 7 not divided by 2)
125(1 + 3 = 4 divided by 2) 335(3 + 3 = 6 divided by 3)
We can see that only 2 numbers follow the given condition

20. If 2 is added to each odd digit and 3 is subtracted from each even digit in the number 835647, 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 29/08/2022 (Afternoon)]

Correct Answer: (c) 6
Solution:

Given number ⇒ “835647”
After adding 2 and subtracting 3 in each odd and even number respectively.
We get new number ⇒ 557319
Required digit sum = 5 + 1 = 6