Q. Two trains start from the same point and travel in opposite directions. Train A travels at 80 km/h and Train B at 100 km/h. How far apart will they be after 1 hour?
A.
180 km
B.
160 km
C.
200 km
D.
150 km
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Solution
Distance apart = (Speed of A + Speed of B) * Time = (80 + 100) * 1 = 180 km.
Correct Answer:
A
— 180 km
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Q. Two trains start from the same point and travel in opposite directions. Train A travels at 50 km/h and Train B at 70 km/h. How far apart will they be after 2 hours?
A.
240 km
B.
130 km
C.
140 km
D.
160 km
Show solution
Solution
Distance = (Speed of A + Speed of B) * Time = (50 + 70) * 2 = 240 km.
Correct Answer:
A
— 240 km
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Q. What day of the week was July 4, 1776?
A.
Monday
B.
Tuesday
C.
Wednesday
D.
Thursday
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Solution
Using Zeller's Congruence, July 4, 1776 falls on a Thursday.
Correct Answer:
C
— Wednesday
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Q. What day of the week will it be on December 31, 2023 if January 1, 2023 is a Sunday?
A.
Saturday
B.
Sunday
C.
Monday
D.
Tuesday
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Solution
2023 has 365 days, which is 52 weeks and 1 day. December 31, 2023 will be one day before January 1, 2024, which is a Sunday, making it Saturday.
Correct Answer:
A
— Saturday
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Q. What day of the week will it be on December 31, 2025 if January 1, 2025 is a Wednesday?
A.
Friday
B.
Saturday
C.
Sunday
D.
Monday
Show solution
Solution
2025 is not a leap year, so it has 365 days. From January 1 to December 31 is 364 days, which is 52 weeks + 0 days. Therefore, December 31, 2025 will also be a Wednesday.
Correct Answer:
B
— Saturday
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Q. What is 0.75 as a fraction?
A.
1/2
B.
3/4
C.
2/3
D.
1/4
Show solution
Solution
0.75 = 75/100 = 3/4 after simplification.
Correct Answer:
B
— 3/4
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Q. What is 0.9 as a fraction?
A.
9/10
B.
1/10
C.
1/5
D.
1/2
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A.
0.06
B.
0.04
C.
0.05
D.
0.07
Show solution
Solution
15% of 0.4 = 0.15 * 0.4 = 0.06
Correct Answer:
A
— 0.06
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A.
0.09
B.
0.1
C.
0.08
D.
0.07
Show solution
Solution
15% of 0.6 = 0.15 * 0.6 = 0.09
Correct Answer:
A
— 0.09
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Show solution
Solution
15% of 200 is calculated as (15/100) * 200 = 30.
Correct Answer:
B
— 30
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A.
0.1
B.
0.2
C.
0.25
D.
0.3
Show solution
Solution
25% of 0.8 = 0.25 * 0.8 = 0.2
Correct Answer:
B
— 0.2
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Show solution
Solution
25% of 200 is calculated as (25/100) * 200 = 50.
Correct Answer:
B
— 50
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Q. What is the angle between the hour and minute hands at 12:30?
A.
165 degrees
B.
180 degrees
C.
150 degrees
D.
120 degrees
Show solution
Solution
At 12:30, the hour hand is at 165 degrees (12*30 + 30*0.5) and the minute hand is at 180 degrees. The angle between them is |165 - 180| = 15 degrees.
Correct Answer:
A
— 165 degrees
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Q. What is the angle between the hour and minute hands at 12:45?
A.
135 degrees
B.
150 degrees
C.
165 degrees
D.
180 degrees
Show solution
Solution
At 12:45, the hour hand is at 337.5 degrees (12 hours * 30 degrees + 45 minutes * 0.5 degrees) and the minute hand is at 270 degrees (45 minutes * 6 degrees). The angle between them is |337.5 - 270| = 67.5 degrees.
Correct Answer:
B
— 150 degrees
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Q. What is the angle between the hour and minute hands at 5:25?
A.
120 degrees
B.
130 degrees
C.
140 degrees
D.
150 degrees
Show solution
Solution
At 5:25, the hour hand is at 162.5 degrees (5 hours * 30 degrees + 25 minutes * 0.5 degrees) and the minute hand is at 150 degrees (25 minutes * 6 degrees). The angle between them is |162.5 - 150| = 12.5 degrees.
Correct Answer:
B
— 130 degrees
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Q. What is the angle between the hour hand and the minute hand at 12:30?
A.
165 degrees
B.
180 degrees
C.
150 degrees
D.
120 degrees
Show solution
Solution
At 12:30, the hour hand is at 165 degrees (12*30 + 30*0.5) and the minute hand is at 180 degrees (30*6). The angle between them is |165 - 180| = 15 degrees.
Correct Answer:
A
— 165 degrees
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Q. What is the area of a circle with a diameter of 10 cm? (Use π = 3.14)
A.
78.5 cm²
B.
31.4 cm²
C.
50 cm²
D.
100 cm²
Show solution
Solution
Radius = diameter/2 = 10 cm/2 = 5 cm. Area = π × radius² = 3.14 × (5 cm)² = 78.5 cm².
Correct Answer:
A
— 78.5 cm²
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Q. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
A.
50 cm²
B.
40 cm²
C.
30 cm²
D.
60 cm²
Show solution
Solution
Area = length × width = 10 cm × 5 cm = 50 cm².
Correct Answer:
A
— 50 cm²
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Q. What is the area of a rectangle with a length of 8 cm and a width of 5 cm?
A.
30 cm²
B.
40 cm²
C.
50 cm²
D.
60 cm²
Show solution
Solution
Area = length × width = 8 cm × 5 cm = 40 cm².
Correct Answer:
B
— 40 cm²
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Q. What is the area of a rectangle with length 10 cm and width 5 cm?
A.
50 cm²
B.
15 cm²
C.
25 cm²
D.
30 cm²
Show solution
Solution
Area = length × width = 10 cm × 5 cm = 50 cm².
Correct Answer:
A
— 50 cm²
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Q. What is the area of a regular hexagon with a side length of 3 m?
A.
15.59 m²
B.
18.00 m²
C.
23.38 m²
D.
27.00 m²
Show solution
Solution
Area = (3√3/2) × side² = (3√3/2) × (3 m)² ≈ 15.59 m².
Correct Answer:
A
— 15.59 m²
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Q. What is the area of a rhombus with diagonals of 10 cm and 6 cm?
A.
30 cm²
B.
40 cm²
C.
20 cm²
D.
50 cm²
Show solution
Solution
Area = 1/2 × diagonal1 × diagonal2 = 1/2 × 10 cm × 6 cm = 30 cm².
Correct Answer:
A
— 30 cm²
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Q. What is the area of a rhombus with diagonals of 10 cm and 8 cm?
A.
40 cm²
B.
45 cm²
C.
50 cm²
D.
55 cm²
Show solution
Solution
Area = 1/2 × d1 × d2 = 1/2 × 10 cm × 8 cm = 40 cm².
Correct Answer:
A
— 40 cm²
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Q. What is the area of a rhombus with diagonals of lengths 10 cm and 24 cm?
A.
120 cm²
B.
60 cm²
C.
80 cm²
D.
100 cm²
Show solution
Solution
Area = (d1 × d2) / 2 = (10 cm × 24 cm) / 2 = 120 cm².
Correct Answer:
A
— 120 cm²
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Q. What is the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees (use π ≈ 3.14)?
A.
17.45 cm²
B.
20.93 cm²
C.
15.71 cm²
D.
25.13 cm²
Show solution
Solution
Area = (θ/360) × π × radius² = (60/360) × 3.14 × (10 cm)² = 17.45 cm².
Correct Answer:
A
— 17.45 cm²
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Q. What is the area of a sector of a circle with a radius of 10 cm and an angle of 60 degrees? (Use π = 3.14)
A.
17.5 cm²
B.
15.7 cm²
C.
20.9 cm²
D.
25.0 cm²
Show solution
Solution
Area = (θ/360) × π × r² = (60/360) × 3.14 × (10 cm)² = 17.5 cm².
Correct Answer:
A
— 17.5 cm²
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Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees?
A.
6.28 m²
B.
12.56 m²
C.
3.14 m²
D.
9.42 m²
Show solution
Solution
Area of sector = (θ/360) × πr² = (90/360) × π × (4 m)² = (1/4) × 3.14 × 16 m² = 12.56 m².
Correct Answer:
B
— 12.56 m²
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Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees? (Use π = 3.14)
A.
12.56 m²
B.
6.28 m²
C.
3.14 m²
D.
9.42 m²
Show solution
Solution
Area of sector = (θ/360) × πr² = (90/360) × 3.14 × (4 m)² = 12.56 m² / 4 = 3.14 m².
Correct Answer:
B
— 6.28 m²
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Q. What is the area of a sector of a circle with a radius of 5 cm and a central angle of 60 degrees? (Use π = 3.14)
A.
13.09 cm²
B.
15.71 cm²
C.
10.42 cm²
D.
12.27 cm²
Show solution
Solution
Area of sector = (θ/360) × πr² = (60/360) × 3.14 × (5 cm)² = 13.09 cm².
Correct Answer:
A
— 13.09 cm²
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Q. What is the area of a sector of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14)
A.
18.84 cm²
B.
12.56 cm²
C.
9.42 cm²
D.
6.28 cm²
Show solution
Solution
Area = (θ/360) × π × r² = (60/360) × 3.14 × (6 cm)² = 18.84 cm².
Correct Answer:
A
— 18.84 cm²
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