General Aptitude
Q. If 0.4 is expressed as a fraction, what is it?
A.
2/5
B.
1/4
C.
3/5
D.
1/2
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Solution
0.4 = 4/10 = 2/5 after simplification.
Correct Answer: A — 2/5
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Q. If 15% of a number is 45, what is the number?
A.
250
B.
300
C.
350
D.
400
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Solution
Let the number be x. Then, 0.15x = 45. Therefore, x = 45/0.15 = 300.
Correct Answer: B — 300
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Q. If 20 liters of a mixture contains 60% alcohol, how much alcohol is in the mixture?
A.
8 liters
B.
10 liters
C.
12 liters
D.
15 liters
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Solution
Alcohol = 60% of 20 liters = 0.6 * 20 = 12 liters.
Correct Answer: B — 10 liters
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Q. If 20% of a number is 50, what is the number?
A.
200
B.
250
C.
300
D.
400
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Solution
Let the number be x. Then, 0.2x = 50. Therefore, x = 50 / 0.2 = 250.
Correct Answer: A — 200
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Q. If 30% of a number is 150, what is the number?
A.
400
B.
450
C.
500
D.
600
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Solution
Let the number be x. Then, 0.3x = 150. Therefore, x = 150 / 0.3 = 500.
Correct Answer: B — 450
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Q. If 3x + 5 = 20, what is the value of x?
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Solution
To solve for x, subtract 5 from both sides: 3x = 15. Then divide by 3: x = 5.
Correct Answer: A — 3
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Q. If 40% of a number is 80, what is the number?
A.
150
B.
200
C.
250
D.
300
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Solution
Let the number be x. Then, 0.4x = 80. So, x = 80 / 0.4 = 200.
Correct Answer: B — 200
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Q. If 45% of a number is 90, what is the number?
A.
150
B.
200
C.
250
D.
300
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Solution
Let the number be x. 0.45x = 90, x = 90/0.45 = 200
Correct Answer: B — 200
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Q. If 5x + 3 = 23, what is the value of x?
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Solution
To solve for x, subtract 3 from both sides: 5x = 20. Then divide by 5: x = 4.
Correct Answer: B — 3
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Q. If 60% of a number is 120, what is the number?
A.
150
B.
180
C.
200
D.
250
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Solution
Let the number be x. 0.6x = 120, x = 120/0.6 = 200
Correct Answer: C — 200
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Q. If 60% of a number is 240, what is the number?
A.
360
B.
400
C.
420
D.
480
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Solution
Let the number be x. Then, 0.6x = 240. Therefore, x = 240/0.6 = 400.
Correct Answer: B — 400
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Q. If a 12-meter tall pole casts a shadow of 8 meters, what is the angle of elevation of the sun?
A.
36.87 degrees
B.
45 degrees
C.
53.13 degrees
D.
60 degrees
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Solution
tan(θ) = height / shadow = 12 / 8 = 1.5; θ = tan^(-1)(1.5) ≈ 56.31 degrees
Correct Answer: C — 53.13 degrees
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Q. If a bag contains 2 white, 3 black, and 5 blue balls, what is the probability of drawing a blue ball?
A.
1/5
B.
1/3
C.
1/2
D.
1/4
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Solution
The total number of balls is 2 + 3 + 5 = 10. The probability of drawing a blue ball is 5/10 = 1/2.
Correct Answer: C — 1/2
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Q. If a bag contains 2 white, 3 black, and 5 red balls, what is the probability of drawing a white ball?
A.
1/5
B.
1/4
C.
1/2
D.
1/10
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Solution
The total number of balls is 2 + 3 + 5 = 10. The probability of drawing a white ball is 2/10 = 1/5.
Correct Answer: B — 1/4
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Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an apple?
A.
2/5
B.
4/10
C.
1/3
D.
1/2
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Solution
The total number of fruits is 4 + 6 = 10. The probability of selecting an apple is 4/10 = 2/5.
Correct Answer: A — 2/5
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Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an orange?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
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Solution
The total number of fruits is 4 + 6 = 10. The probability of selecting an orange is 6/10 = 3/5.
Correct Answer: B — 3/5
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Q. If a bag contains 4 red, 3 blue, and 5 green balls, what is the probability of drawing a green ball?
A.
1/3
B.
1/4
C.
5/12
D.
5/10
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Solution
Total balls = 4 + 3 + 5 = 12. Probability of green ball = 5/12.
Correct Answer: C — 5/12
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Q. If a bag contains 4 red, 3 green, and 5 blue marbles, what is the probability of drawing a blue marble?
A.
1/3
B.
1/4
C.
5/12
D.
5/10
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Solution
Total marbles = 4 + 3 + 5 = 12. Probability of blue marble = 5/12.
Correct Answer: C — 5/12
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Q. If a bill of Rs. 15000 is discounted at 8% per annum for 6 months, what is the bankers' discount?
A.
Rs. 600
B.
Rs. 800
C.
Rs. 1000
D.
Rs. 1200
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Solution
Bankers' Discount = (15000 × 8 × 0.5) / 100 = Rs. 600.
Correct Answer: B — Rs. 800
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Q. If a bill of Rs. 20000 is discounted at 15% per annum for 4 months, what is the bankers' discount?
A.
Rs. 1000
B.
Rs. 1200
C.
Rs. 1500
D.
Rs. 2000
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Solution
Bankers' Discount = (20000 × 15 × 1/3) / 100 = Rs. 1000.
Correct Answer: C — Rs. 1500
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Q. If a boat can go 25 km/h in still water and the current is 5 km/h, how long will it take to travel 60 km downstream?
A.
1.5 hours
B.
2 hours
C.
2.5 hours
D.
3 hours
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Solution
Speed downstream = 25 + 5 = 30 km/h. Time = Distance/Speed = 60/30 = 2 hours.
Correct Answer: B — 2 hours
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Q. If a boat can travel 30 km upstream in 5 hours, what is the speed of the current if the speed of the boat in still water is 8 km/h?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
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Solution
Speed upstream = Distance/Time = 30 km / 5 h = 6 km/h. Speed of current = Speed of boat in still water - Speed upstream = 8 km/h - 6 km/h = 2 km/h.
Correct Answer: A — 2 km/h
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Q. If a boat can travel 60 km downstream in 3 hours, and the speed of the stream is 6 km/h, what is the speed of the boat in still water?
A.
18 km/h
B.
20 km/h
C.
22 km/h
D.
24 km/h
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Solution
Let the speed of the boat in still water be y km/h. Downstream speed = y + 6 km/h. Therefore, (y + 6) * 3 = 60. Solving gives y = 18 km/h.
Correct Answer: B — 20 km/h
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Q. If a boat can travel 60 km downstream in 4 hours, what is the speed of the current if the speed of the boat in still water is 15 km/h?
A.
3 km/h
B.
4 km/h
C.
5 km/h
D.
6 km/h
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Solution
Speed downstream = Distance/Time = 60 km / 4 h = 15 km/h. Speed of current = Speed downstream - Speed of boat in still water = 15 km/h - 15 km/h = 0 km/h.
Correct Answer: C — 5 km/h
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Q. If a boat goes 20 km upstream in 4 hours, what is the speed of the current if the speed of the boat in still water is 10 km/h?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
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Solution
Speed upstream = Speed of boat - Speed of current. Distance = 20 km, Time = 4 hours. Speed upstream = 20/4 = 5 km/h. Thus, 10 - x = 5, so x = 5 km/h.
Correct Answer: A — 2 km/h
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Q. If a box contains 10 balls, 4 of which are blue, what is the probability of selecting a blue ball?
A.
2/5
B.
1/2
C.
4/10
D.
3/10
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Solution
The probability of selecting a blue ball is 4/10 = 2/5.
Correct Answer: A — 2/5
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Q. If a car's value depreciates by 15% each year and its current value is $20,000, what will be its value after one year?
A.
$15,000
B.
$16,500
C.
$17,000
D.
$18,000
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Solution
Value after one year = 20,000 - (15/100)*20,000 = 20,000 - 3,000 = $17,000.
Correct Answer: B — $16,500
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Q. If a certain date is 45 days after February 15, how many days will it be in April?
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Solution
February has 28 days in a non-leap year. From February 15 to February 28 is 13 days. 45 - 13 = 32 days left. March has 31 days, so 32 - 31 = 1 day into April. Thus, it will be April 1.
Correct Answer: B — 16
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Q. If a certain month has 30 days, how many Sundays are there in that month?
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Solution
A month with 30 days can have either 4 or 5 Sundays, depending on which day of the week it starts. If it starts on a Sunday, there will be 5 Sundays.
Correct Answer: B — 5
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Q. If a certain month has 30 days, what is the probability that a randomly chosen day from that month is a weekend?
A.
1/3
B.
1/4
C.
2/7
D.
3/10
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Solution
In a 30-day month, there are typically 8 weekend days (4 Saturdays and 4 Sundays). Probability = 8/30 = 4/15, which simplifies to approximately 1/3.
Correct Answer: A — 1/3
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