Arithmetic Reasoning – Railway Reasoning

Total Questions: 52

31. If 3 is added to each odd digit and 1 is subtracted from each even digit in the number 4815421, what will be the sum of the digits that are third from the left and third from the right in the new number thus formed? [Group - D 09/09/2022 (Evening)]

Correct Answer: (d) 7
Solution:

Given, 4815421
As per question By adding 3 in each odd digit and subtracting 1 from each even digit, we get,
37 4 8 3 14 ⇒ 4 + 3 = 7

32. If we add 9 to each of the following numbers and then write the digits of each number in reverse order and then arrange the numbers in descending order, the position of how many numbers will NOT change? [Group - D 12/09/2022 (Evening)]

221, 256, 465, 387, 356

Correct Answer: (d) Zero
Solution:

After adding 9 to each of the number the number becomes
230,265,474,396,365
In reverse order → 032,562,474,693,563
After arranging them in descending order, 693 , 563 , 562 , 474, 032
The position of all the numbers will change.

33. If the digits of the number 31275848 are arranged in decreasing order from left to right, what will be the sum of the first 3 digits from the left? [Group - D 13/09/2022 (Evening)]

Correct Answer: (a) 23
Solution:

Given number : 3 1 2 7 5 8 4 8
After arranged decreasing order = (left) 8 8 7 5 4 3 2 1 (right)
Sum of first three digit from the left = 8 + 8 + 7 = 23

34. This question is based on the five, three-digit numbers given below: [Group - D 15/09/2022 (Afternoon)]

(Left) 158 518 182 305 510 (Right)
What will be the resultant if the third digit of the second smallest number is added to the first digit of the largest number?

Correct Answer: (b) 7
Solution:

Left (158 , 518 , 182 , 305 , 510) (right)
Second smallest number = 182 , third digit = 2
Largest number = 518 , first digit = 5
Required sum = 5 + 2 = 7

35. This question is based on the five, three-digit numbers given below. [Group - D 15/09/2022 (Evening)]

(Left) 478 775 357 183 246 (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 the smallest number?

Correct Answer: (a) 13
Solution:

(Left) 478 775 357 183 246 (Right)
As per given instructions,
Third digit of the largest number i.e. (77 5 ) is 5
Second digit of the smallest number i.e. (1 8 3) is 8
Hence, Sum = 5 + 8 = 13

36. This question is based on the five, three - digit numbers given below. [Group - D 16/09/2022 (Morning)]

(Left) 653 831 933 476 715 (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 third digit of every number, in how many numbers will the third digit be exactly divided by the second digit of that number?

Correct Answer: (a) 3
Solution:

Given series ,
(Left) 653 831 933 476 715 (Right)
After adding 2 to the third digit of every number we get
(Left) 655 833 935 478 717 (Right)
In the numbers 655 , 833 and 717 , third digit of each number is divisible by second number.
So, there are 3 such numbers.

37. This question is based on the five, three-digit numbers given below. [Group - D 16/09/2022 (Afternoon)]

(Left) 648 545 317 653 476 (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 result if the second digit of the largest number is added to the first digit of smallest number?

Correct Answer: (d) 8
Solution:

(Left) 648 545 317 653 476 (Right)
Second digit of the largest number = 6 5 3 = 5
First digit of the smallest number = 3 17 = 3
Required sum = 5 + 3 = 8

38. Each of the digits in the number 56137428 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and second from the right in the new number thus formed? [Group - D 17/09/2022 (Evening )]

Correct Answer: (d) 9
Solution:

Number = 56137428
On arranging the number in ascending order = 12345678
Second from the left = 2
Second from the right = 7
Required sum = 2 + 7 = 9

39. This question is based on the five, four-digit numbers given below. [Group - D 19/09/2022 (Afternoon)]

(Left) 6338 5345 4127 7253 6176 (Right)
(Example: 697-first digit = 6, second digit = 9, third digit = 7)
(NOTE: All operations to be done from left to right)
If 3 is subtracted from the first digit of every number, in how many numbers will the first digit be exactly divisible by 3?

Correct Answer: (d)Two
Solution:

(Left) 6338 5345 4127 7253 6176 (Right)
As per the given instructions after subtracting 3 from the first digit of every number
(Left) 3338 2345 1127 4253 3176 (Right) There are only two numbers whose first digit is divisible by 3.

40. Refer to the following number series and answer the question. [Group - D 19/09/2022 (Afternoon)]

(Left) 7 5 3 3 9 1 4 6 2 7 8 3 7 5 6 8 9 1 3 9 5 3 (Right)
Find the sum of all the odd numbers in the above number series.

Correct Answer: (b) 80
Solution:

(Left) 7 5 3 3 9 1 4 6 2 7 8 3 7 5 6 8 9 1 3 9 5 3 (Right)
The sum of all odd numbers
= 7 + 5 + 3 + 3 + 9 + 1 + 7 + 3 + 7 + 5 + 9 + 1 + 3 + 9 + 5 + 3 = 80