SSC
Q. A bag contains 3 red, 5 blue, and 2 green balls. What is the average number of balls per color?
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Solution
Total balls = 3 + 5 + 2 = 10. Average = Total balls / Number of colors = 10 / 3 = 3.33.
Correct Answer: D — 4
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Q. A ball is dropped from a height of 45 m. How long will it take to reach the ground? (g = 10 m/s²) (2023)
A.
3 s
B.
4 s
C.
5 s
D.
6 s
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Solution
Time = √(2h/g) = √(2 × 45 m/10 m/s²) = √(9) = 3 s
Correct Answer: B — 4 s
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Q. A bar chart shows the number of books read by four students: John, Mary, Alex, and Sarah. If John read 15 books, Mary read 20 books, Alex read 10 books, and Sarah read 25 books, who read the most books? (2023)
A.
John
B.
Mary
C.
Alex
D.
Sarah
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Solution
Sarah read the most books with a total of 25.
Correct Answer: D — Sarah
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Q. A bar chart shows the number of hours spent on different activities. If the hours for activity A is 8, B is 6, C is 4, and D is 10, which activity took the least time? (2023)
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Solution
Activity C took the least time with 4 hours.
Correct Answer: C — C
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Q. A boat can travel 30 km upstream in 2 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h? (2020)
A.
12 km/h
B.
15 km/h
C.
18 km/h
D.
21 km/h
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Solution
Speed upstream = Speed of boat - Speed of current. Speed of boat = 30 km / 2 h + 3 km/h = 15 km/h.
Correct Answer: B — 15 km/h
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Q. A car accelerates from rest to a speed of 100 km/h in 10 seconds. What is its acceleration? (2023)
A.
5 m/s²
B.
10 m/s²
C.
15 m/s²
D.
20 m/s²
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Solution
Acceleration = (Final Speed - Initial Speed)/Time = (100 km/h × (1000 m/3600 s))/10 s = 5 m/s²
Correct Answer: A — 5 m/s²
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Q. A car covers a distance of 240 km in 3 hours. What is its speed? (2022)
A.
70 km/h
B.
80 km/h
C.
90 km/h
D.
100 km/h
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Solution
Speed = Distance / Time = 240 km / 3 h = 80 km/h
Correct Answer: B — 80 km/h
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Q. A car travels 60 km in 1 hour. What is its speed in km/h? (2023)
A.
30 km/h
B.
60 km/h
C.
90 km/h
D.
120 km/h
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Solution
Speed = Distance/Time = 60 km/1 h = 60 km/h
Correct Answer: B — 60 km/h
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Q. A class has an average score of 65. If a new student with a score of 85 joins, how does the average change if the class size increases by one?
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Solution
Total score = 65 * n + 85. New average = (65n + 85) / (n + 1).
Correct Answer: B — 67
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Q. A clock shows 3:15. What is the angle between the hour and the minute hand? (2023)
A.
45 degrees
B.
90 degrees
C.
112.5 degrees
D.
135 degrees
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Solution
At 3:15, the hour hand is at 97.5 degrees and the minute hand is at 90 degrees. The angle is 97.5 - 90 = 7.5 degrees.
Correct Answer: C — 112.5 degrees
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Q. A cyclist covers 15 km in 30 minutes. What is the speed in km/h? (2023)
A.
20 km/h
B.
25 km/h
C.
30 km/h
D.
35 km/h
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Solution
Speed = Distance/Time = 15 km/(30/60) h = 30 km/h
Correct Answer: B — 25 km/h
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Q. A cyclist covers a distance of 90 km in 4.5 hours. What is the average speed of the cyclist? (2020)
A.
15 km/h
B.
20 km/h
C.
25 km/h
D.
30 km/h
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Solution
Average Speed = Total Distance / Total Time = 90 km / 4.5 h = 20 km/h
Correct Answer: C — 25 km/h
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Q. A factory produces 2000 items in 5 days. How many items does it produce in 12 days? (2022)
A.
4000 items
B.
4800 items
C.
5000 items
D.
6000 items
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Solution
Daily production = 2000 items / 5 days = 400 items/day. In 12 days, it produces 400 × 12 = 4800 items.
Correct Answer: B — 4800 items
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Q. A flock of birds were flying over the lake. (2023)
A.
Correct
B.
Incorrect
C.
Depends on context
D.
None of the above
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Solution
The correct form is 'A flock of birds was flying over the lake.' The subject 'flock' is singular, so the verb should be 'was'.
Correct Answer: B — Incorrect
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Q. A is older than B but younger than C. D is younger than A. Who is the oldest?
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Solution
C is the oldest as A is younger than C.
Correct Answer: C — C
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Q. A is the brother of B. C is the sister of A. D is the mother of B. How is C related to D?
A.
Daughter
B.
Son
C.
Niece
D.
Sister
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Solution
C is the daughter of D as C is the sister of A and A is the brother of B, making them all siblings.
Correct Answer: A — Daughter
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Q. A is the father of B. C is the mother of B. D is the brother of C. How is D related to A?
A.
Brother-in-law
B.
Father
C.
Uncle
D.
Cousin
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Solution
D is the brother-in-law of A as C (D's sister) is married to A.
Correct Answer: A — Brother-in-law
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Q. A is the grandfather of B. C is the father of B. How is A related to C?
A.
Son
B.
Father
C.
Grandfather
D.
Uncle
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Solution
A is the father of C as A is the grandfather of B.
Correct Answer: B — Father
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Q. A is twice as old as B. If B is 10 years old now, how old will A be in 5 years? (2023)
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Solution
If B is 10, A is 20. In 5 years, A will be 25.
Correct Answer: B — 25
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Q. A line graph shows the growth of a plant over 5 days. If the heights are 2 cm, 4 cm, 6 cm, 8 cm, and 10 cm, what is the growth rate per day? (2023)
A.
1 cm
B.
2 cm
C.
3 cm
D.
4 cm
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Solution
Growth rate = (10 - 2) / 4 = 2 cm per day.
Correct Answer: B — 2 cm
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Q. A line graph shows the sales of a company over five months. If the sales were 1000, 1500, 2000, 2500, and 3000 units, what was the total sales over the five months? (2023)
A.
10000
B.
12000
C.
15000
D.
20000
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Solution
Total sales = 1000 + 1500 + 2000 + 2500 + 3000 = 10000 units.
Correct Answer: B — 12000
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Q. A machine can produce 500 units in 8 hours. How many units can it produce in 12 hours? (2022)
A.
600 units
B.
750 units
C.
800 units
D.
900 units
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Solution
Units per hour = 500 units / 8 hours = 62.5 units/hour. In 12 hours, it produces 62.5 × 12 = 750 units.
Correct Answer: C — 800 units
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Q. A man is facing South. He turns 180 degrees and then turns 90 degrees to his left. Which direction is he facing now? (2023)
A.
North
B.
South
C.
East
D.
West
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Solution
Turning 180 degrees from South leads to North. A 90 degrees left turn from North leads to West.
Correct Answer: C — East
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Q. A man is facing South. He turns 45 degrees to his left and then 90 degrees to his right. Which direction is he facing now? (2023)
A.
East
B.
West
C.
North
D.
South
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Solution
Facing South, a 45 degrees left turn leads to East-South-East. A 90 degrees right turn from there leads to East.
Correct Answer: A — East
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Q. A man is facing South. He turns 90 degrees to the right and then turns 90 degrees to the left. Which direction is he facing now? (2023)
A.
North
B.
South
C.
East
D.
West
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Solution
Turning 90 degrees right from South leads to West. Turning 90 degrees left from West leads back to South.
Correct Answer: B — South
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Q. A man walks 10 meters towards the south, then turns left and walks 5 meters. In which direction is he now facing? (2020)
A.
North
B.
South
C.
East
D.
West
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Solution
After walking south and turning left, he is facing East.
Correct Answer: C — East
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Q. A man walks 20 meters north, then 20 meters west. In which direction is he from his starting point? (2019)
A.
North-East
B.
North-West
C.
South-East
D.
South-West
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Solution
He is in the North-West direction from his starting point.
Correct Answer: B — North-West
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Q. A man walks 20 meters towards the North, then turns 90 degrees to his left and walks 10 meters. In which direction is he now? (2023)
A.
North
B.
South
C.
East
D.
West
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Solution
The man walks North, then turns left (West) and walks 10 meters, so he is now facing West.
Correct Answer: C — East
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Q. A man walks 30 meters east, then 40 meters north. What is the angle he makes with the east direction? (2023)
A.
30 degrees
B.
40 degrees
C.
53.13 degrees
D.
60 degrees
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Solution
Using tan(θ) = opposite/adjacent = 40/30, θ = tan⁻¹(4/3) = 53.13 degrees.
Correct Answer: C — 53.13 degrees
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Q. A pair of shoes were left at the door. (2023)
A.
Correct
B.
Incorrect
C.
Depends on context
D.
None of the above
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Solution
The correct form is 'A pair of shoes was left at the door.' 'Pair' is singular, so the verb should be 'was'.
Correct Answer: B — Incorrect
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