Arithmetic Reasoning (SSC REASONING)

Total Questions: 50

31. If 4 workers can complete a job in 12 days, how many days will 6 workers take to complete the same job? [SSC Stenographer 07/08/2025 (Shift 1) ]

Correct Answer: (a) 8 days
Solution:

We know that
M₁D₁ = M₂D₂
4 x 12 = 6 x D₂
D₂ = 8 days

32. If 4 workers can complete a task in 8 days. How many days will 8 workers take to complete the same task? [SSC Stenographer 07/08/2025 (Shift 1) ]

Correct Answer: (b) 4 days
Solution:

M₁D₁ = M₂D₂
4x8 = 8× D₂
D₂ = 4 days

33. A train travels 180 km at a uniform speed. If the speed had been 15 km/h more, it would have taken 1 hour less to cover the same distance. What is the original speed of the train? [SSC Stenographer 07/08/2025 (Shift 1) ]

Correct Answer: (b) 45 km/h
Solution:

34. A product priced at INR 500 gets a 20% discount then a 5% tax on the discounted price. What is the final price? [SSC Stenographer 07/08/2025 (Shift 2) ]

Correct Answer: (b) INR 435
Solution:Marked Price (M.P.) = ₹500
Discount = 20% of 500 = ₹100
Discounted Price = 500 100 = ₹400
Tax = 5% of 400 = ₹20
Final Price = 400 + 20 = ₹420

35. If 6 people are seated at a round table, how many distinct seating arrangements are possible? [SSC Stenographer 07/08/2025 (Shift 2) ]

Correct Answer: (c) 120
Solution:For circular arrangement = (n -1)!
Here, n =6
(6-1)! = 5! = 5 × 4 ×3x 2 x 1 =120

36. A can do a job in 12 days B in 18 days. A works for 3 days then B joins. Total days to finish the work? [SSC Stenographer 07/08/2025 (Shift 2) ]

Correct Answer: (a) 8.4 days
Solution:

37. A can do a job in 10 days and B can do it in 15 days. If they work together, how long will it take them to complete the job? [SSC Stenographer 07/08/2025 (Shift 2) ]

Correct Answer: (b) 6 days
Solution:

38. The sum of two consecutive odd numbers is 24. What is the larger number? [SSC Stenographer 07/08/2025 (Shift 2) ]

Correct Answer: (d) 13
Solution:Let the two consecutive odd
numbers be x and x + 2.
According to questions
x+x+2 = 24
x = 11
So, the numbers are 11 and 13.
The larger number = 13

39. If 4x + 5y = 33 and 3x - 2y = 14 what is x-у? [SSC Stenographer 07/08/2025 (Shift 3) ]

Correct Answer: (a) 4
Solution:

40. A squash championship has 111 participants. In a knockout format, what is the total number of matches played? [SSC Stenographer 07/08/2025 (Shift 3) ]

Correct Answer: (a) 110
Solution:In a knockout tournament, every match
eliminates exactly one player.
Number of participants = 111.
At the end, only 1 winner
remains. Therefore, the number of players
who must be eliminated = 111-1 = 110.
Since each match eliminates 1 player, the
total number of matches played = 110.