General Aptitude Study Materials for Competitive Exams

General Aptitude

Arithmetic Aptitude Data Interpretation

Q. If 20% of a number is 50, what is the number?

A. 200
B. 250
C. 300
D. 400

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

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?

A. 3
B. 5
C. 7
D. 10

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

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

Solution

Let the number be x. 0.45x = 90, x = 90/0.45 = 200

Correct Answer: B — 200

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Q. If 5 workers can complete a task in 20 days, how many days will it take for 10 workers to complete the same task?

A. 10 days
B. 15 days
C. 20 days
D. 25 days

Solution

Work done is inversely proportional to the number of workers. If 5 workers take 20 days, then 10 workers will take 20/2 = 10 days.

Correct Answer: A — 10 days

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Q. If 5x + 3 = 23, what is the value of x?

A. 2
B. 3
C. 4
D. 5

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

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

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

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 and B invest in a business in the ratio 4:5 and the total profit is $4500, how much does A receive?

A. $2000
B. $2500
C. $1800
D. $2200

Solution

Total parts = 4 + 5 = 9. A's share = (4/9) * 4500 = $2000.

Correct Answer: A — $2000

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Q. If A and B invest in a business in the ratio of 4:5 and the total profit is $4500, how much does A receive?

A. $2000
B. $2500
C. $1800
D. $2200

Solution

Total parts = 4 + 5 = 9. A's share = (4/9) * 4500 = $2000.

Correct Answer: A — $2000

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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

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

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 orange?

A. 2/5
B. 3/5
C. 4/5
D. 1/5

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 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

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 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

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

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 bag contains 5 red balls and 3 blue balls, what is the probability of drawing a red ball?

A. 1/2
B. 5/8
C. 3/8
D. 1/8

Solution

Total balls = 5 + 3 = 8. Probability of red ball = 5/8.

Correct Answer: B — 5/8

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Q. If a bank offers 5% interest per annum, how much interest will be earned on a principal of $2000 in 2 years?

A. 200
B. 100
C. 150
D. 250

Solution

Interest = Principal * Rate * Time = 2000 * (5/100) * 2 = $200.

Correct Answer: B — 100

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Q. If a bill of Rs. 12000 is discounted at 8% per annum for 5 months, what is the Banker's Discount?

A. Rs. 200
B. Rs. 400
C. Rs. 300
D. Rs. 500

Solution

Banker's Discount = (12000 * 8 * 5/12) / 100 = Rs. 400

Correct Answer: B — Rs. 400

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Q. If a bill of Rs. 15000 is discounted at 8% per annum for 2 months, what is the Banker's Discount?

A. Rs. 100
B. Rs. 200
C. Rs. 300
D. Rs. 400

Solution

Banker's Discount = (15000 * 8 * 2/12) / 100 = Rs. 200

Correct Answer: B — Rs. 200

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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

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

Solution

Bankers' Discount = (20000 × 15 × 1/3) / 100 = Rs. 1000.

Correct Answer: C — Rs. 1500

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Q. If a bill of Rs. 30000 is discounted at 5% for 6 months, what is the Banker's Discount?

A. Rs. 750
B. Rs. 500
C. Rs. 600
D. Rs. 700

Solution

Banker's Discount = (30000 * 5 * 6/12) / 100 = Rs. 750

Correct Answer: A — Rs. 750

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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

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

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

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

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

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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General Aptitude

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