Arithmetic Reasoning (SSC REASONING)

Total Questions: 50

1. At a banquet, every 2 people shared a cake, every 6 people shared a bowl of soup, and every 8 people shared a platter of fruit. There were a total of 38 items. How many people were present at the banquet? [SSC Stenographer 07/08/2025 (Shift 3) ]

Correct Answer: (d) 48
Solution:

2. In how many ways can 6 people be seated around a round table? [SSC Stenographer 07/08/2025 (Shift 1) ]

Correct Answer: (a) 120
Solution:

The number of ways to arrange 'n' distinct objects in a circle = (n - 1)!
(6-1)! = 5×4×3x 2 x 1 = 120

3. In a badminton knockout tournament with 57 players, what is the minimum number of matches needed to determine the winner? [SSC Stenographer 06/08/2025 (Shift 3) ]

Correct Answer: (c) 56
Solution:

A single-elimination tournament with n players always needs n - 1 matches to determine the winner.
Here number of students = 57
Number of matches required to determine the winner = 57 - 1 = 56

4. A player holds 15 cards of four suits, of which eight are red and seven are black. The number of diamonds is twice the number of spades, and the number of hearts is equal to the number of diamonds. How many clubs does he hold? [SSC Stenographer 06/08/2025 (Shift 2) ]

Correct Answer: (a) 5
Solution:

Let spades = S. Then diamonds = 2S, hearts = 2S (given).
Red cards = hearts + diamonds = 2S + 2S = 4S = 8 ⇒ S = 2.
So diamonds = 4, hearts = 4.
Black cards total = 7
⇒ spades + clubs = 2 + clubs = 7
⇒ clubs = 5.

5. In a row of 8 seats, how many ways can 3 people sit next to each other? [SSC Stenographer 06/08/2025 (Shift 1) ]

Correct Answer: (b) 36
Solution:

Possible way to arrange 3
people inside the pair = 3! = 3×2x1 = 6
Total way of arranged 8 people
= [(1, 2, 3), 4, 5, 6, 7, 8] = 6
Required way = 6 x 6 = 36

6. Four friends X, Y, Z, and W each have some marbles. X gives Y as many marbles as he already has, gives Z twice the amount of marbles Z already has, and gives W thrice the amount of marbles W already has. Then, W gives 1/6 th of his marbles to Y. Afterward, X gives 10% of the marbles he now owns to Z and 20% to Y. Finally, all of them have 70 marbles each. What was the original number of marbles each friend had? [SSC Stenographer 06/08/2025 (Shift 1) ]

Correct Answer: (b) X-221, Y - 18, Z - 20, W- 21
Solution:

7. A side of a square-shaped park is 12 m. If a squared-shaped garden with a side of 24 m is developed around the park, what will be the total area of the park including the garden?

Correct Answer: (c)576 m²
Solution:

8. If 90% of a number is 621, what will be 50% of 20% of that number?

Correct Answer: (d) 69
Solution:

9. Renuka bought some chocolates for her daughters. She put them on the table and went out for her doctor's appointment. Then Ayushi came home. She took one-third of the chocolates and went to her friend's house. Then came Sadhana. She thought that she was the first one to come home. She took one-third of the remaining chocolates and went out. At last Tanya came home. Thinking that she was the first one to arrive, she took one-third of the remaining chocolates. When Renuka came back, she found 24 chocolates lying on the table. She distributed them among her daughters, ensuring everyone got an equal share. How many chocolates did Renuka give to Sadhana in the end?

Correct Answer: (a) 9
Solution:

10. Out of the total number of players, 100/3% are in hotel X and the remaining are in hotel Y. If 20 players from hotel Y are shifted to hotel X, then the number of players in hotel X becomes 50% of the total number of players. If 20 players from hotel X are shifted to hotel Y, then the number of players in hotel X becomes what percent of the total number of players?

Correct Answer: (d) 16.67%
Solution: