General Aptitude
Q. Two pipes can fill a tank in 10 hours and 15 hours respectively. If the first pipe is opened for 5 hours and then the second pipe is opened, how long will it take to fill the tank?
A.
3 hours
B.
4 hours
C.
5 hours
D.
6 hours
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Solution
The first pipe fills 1/2 of the tank in 5 hours. The remaining half can be filled by both pipes in 2 hours.
Correct Answer: B — 4 hours
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Q. Two pipes can fill a tank in 8 hours and 12 hours respectively. If both pipes are opened together, how long will it take to fill the tank?
A.
4.8 hours
B.
5 hours
C.
6 hours
D.
7 hours
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Solution
The combined rate is 1/8 + 1/12 = 5/24. Therefore, time taken = 24/5 = 4.8 hours.
Correct Answer: A — 4.8 hours
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Q. Two pipes can fill a tank in 9 hours and 12 hours respectively. If both pipes are opened together, how long will it take to fill the tank?
A.
4.5 hours
B.
5 hours
C.
6 hours
D.
7 hours
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Solution
The combined rate is 1/9 + 1/12 = 7/36. Therefore, it will take 36/7 = 5.14 hours to fill the tank.
Correct Answer: C — 6 hours
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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
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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
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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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Solution
15% of 200 is calculated as (15/100) * 200 = 30.
Correct Answer: B — 30
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Solution
25% of 200 is calculated as (25/100) * 200 = 50.
Correct Answer: B — 50
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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? (Use π = 3.14)
A.
12.56 m²
B.
6.28 m²
C.
3.14 m²
D.
9.42 m²
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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 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
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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 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
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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
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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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Q. What is the area of a square with a side length of 4 m?
A.
8 m²
B.
12 m²
C.
16 m²
D.
20 m²
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Solution
Area = side × side = 4 m × 4 m = 16 m².
Correct Answer: C — 16 m²
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Q. What is the area of a trapezoid with bases of 10 m and 6 m, and a height of 4 m?
A.
40 m²
B.
32 m²
C.
24 m²
D.
36 m²
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Solution
Area = 1/2 × (base1 + base2) × height = 1/2 × (10 m + 6 m) × 4 m = 32 m².
Correct Answer: B — 32 m²
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Q. What is the average of the first five prime numbers?
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Solution
The first five prime numbers are 2, 3, 5, 7, 11. Average = (2 + 3 + 5 + 7 + 11) / 5 = 28 / 5 = 5.6.
Correct Answer: C — 7
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Q. What is the average of the numbers 10, 20, and 30?
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Solution
The average is (10 + 20 + 30) / 3 = 60 / 3 = 20.
Correct Answer: B — 20
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Q. What is the Banker's Discount on a bill of $2500 due in 9 months at a rate of 8%?
A.
$150
B.
$120
C.
$100
D.
$180
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Solution
Banker's Discount = (2500 x 8 x 9/12) / 100 = $150
Correct Answer: A — $150
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Q. What is the Banker's Discount on a bill of $500 due in 3 months at a rate of 6% per annum?
A.
$7.50
B.
$8.00
C.
$9.00
D.
$10.00
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Solution
Banker's Discount = (Principal x Rate x Time) / 100 = (500 x 6 x 3/12) / 100 = $7.50
Correct Answer: A — $7.50
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