Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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Q. A boat can travel at 12 km/h in still water. If it takes 3 hours to go upstream and 2 hours to return downstream, what is the speed of the current?

A. 1 km/h
B. 2 km/h
C. 3 km/h
D. 4 km/h

Solution

Let the speed of the current be x. Upstream speed = 12 - x, Downstream speed = 12 + x. Distance = 3(12 - x) = 2(12 + x). Solving gives x = 2 km/h.

Correct Answer: B — 2 km/h

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Q. A boat can travel at 18 km/h in still water. If it takes 4 hours to go upstream and 3 hours to return downstream, what is the speed of the current?

A. 2 km/h
B. 3 km/h
C. 4 km/h
D. 5 km/h

Solution

Let the speed of the current be x. Upstream speed = 18 - x, Downstream speed = 18 + x. Distance = 4(18 - x) = 3(18 + x). Solving gives x = 3 km/h.

Correct Answer: C — 4 km/h

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Q. A boat takes 3 hours to go 36 km upstream and 2 hours to return downstream. What is the speed of the stream?

A. 2 km/h
B. 3 km/h
C. 4 km/h
D. 5 km/h

Solution

Let the speed of the stream be x km/h. Upstream speed = (y - x) and downstream speed = (y + x). From the equations, we can derive that x = 2 km/h.

Correct Answer: A — 2 km/h

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Q. A boat takes 4 hours to go 40 km upstream. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

A. 8 km/h
B. 10 km/h
C. 12 km/h
D. 14 km/h

Solution

Speed upstream = Distance/Time = 40 km / 4 h = 10 km/h. Speed of boat in still water = Speed upstream + Speed of current = 10 km/h + 2 km/h = 12 km/h.

Correct Answer: B — 10 km/h

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Q. A boat takes 5 hours to travel 60 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 16 km/h

Solution

Speed upstream = 60/5 = 12 km/h. Speed of the boat in still water = speed upstream + speed of stream = 12 + 2 = 14 km/h.

Correct Answer: B — 12 km/h

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Q. A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

A. 8 km/h
B. 10 km/h
C. 12 km/h
D. 14 km/h

Solution

Speed downstream = Distance/Time = 20 km / 2 h = 10 km/h. Speed of boat in still water = Speed downstream - Speed of current = 10 km/h - 2 km/h = 8 km/h.

Correct Answer: B — 10 km/h

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Q. A boat travels 30 km downstream in 2 hours. If the speed of the boat in still water is 12 km/h, what is the speed of the stream?

A. 2 km/h
B. 3 km/h
C. 4 km/h
D. 5 km/h

Solution

Let the speed of the stream be x km/h. Downstream speed = 12 + x. Therefore, 30/(12 + x) = 2. Solving gives x = 3 km/h.

Correct Answer: C — 4 km/h

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Q. A boat travels 30 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

A. 10 km/h
B. 15 km/h
C. 20 km/h
D. 25 km/h

Solution

Speed downstream = Distance/Time = 30/2 = 15 km/h. Speed of boat = Speed downstream - Speed of current = 15 - 5 = 10 km/h.

Correct Answer: C — 20 km/h

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Q. A boat travels 30 km downstream in 2 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?

A. 10 km/h
B. 15 km/h
C. 20 km/h
D. 25 km/h

Solution

Let the speed of the boat in still water be y km/h. Downstream speed = y + 5 km/h. Therefore, (y + 5) * 2 = 30. Solving gives y = 10 km/h.

Correct Answer: B — 15 km/h

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Q. A boat travels 40 km upstream in 5 hours. If the speed of the boat in still water is 8 km/h, what is the speed of the current?

A. 1 km/h
B. 2 km/h
C. 3 km/h
D. 4 km/h

Solution

Speed upstream = Distance/Time = 40/5 = 8 km/h. Thus, 8 - x = 8, so x = 0. The current speed is 0 km/h.

Correct Answer: D — 4 km/h

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Q. A boat travels 50 km downstream in 2.5 hours. If the speed of the boat in still water is 20 km/h, what is the speed of the stream?

A. 2 km/h
B. 4 km/h
C. 6 km/h
D. 8 km/h

Solution

Speed downstream = 50/2.5 = 20 km/h. Speed of the stream = speed downstream - speed of boat = 20 - 20 = 0 km/h.

Correct Answer: B — 4 km/h

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Q. A boat travels 50 km downstream in 5 hours and returns upstream in 10 hours. What is the speed of the stream?

A. 2 km/h
B. 3 km/h
C. 4 km/h
D. 5 km/h

Solution

Let the speed of the stream be x km/h. Downstream speed = (y + x) and upstream speed = (y - x). From the equations, we can derive that x = 4 km/h.

Correct Answer: C — 4 km/h

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Q. A boat travels 50 km downstream in 5 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

A. 8 km/h
B. 10 km/h
C. 12 km/h
D. 14 km/h

Solution

Speed downstream = Distance/Time = 50 km / 5 h = 10 km/h. Speed of boat in still water = Speed downstream - Speed of current = 10 km/h - 5 km/h = 5 km/h.

Correct Answer: B — 10 km/h

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Q. A boat travels 60 km downstream in 3 hours. If the speed of the current 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

Speed downstream = Distance/Time = 60 km / 3 h = 20 km/h. Speed of boat in still water = Speed downstream - Speed of current = 20 km/h - 6 km/h = 14 km/h.

Correct Answer: B — 20 km/h

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Q. A book is sold for $150 after a discount of 10%. What was the marked price?

A. $165
B. $160
C. $170
D. $155

Solution

Let Marked Price = x. Selling Price = x - 10% of x = 0.9x. 0.9x = 150. x = 150/0.9 = 165.

Correct Answer: A — $165

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Q. A box contains 10 balls, 7 of which are white. If one ball is drawn at random, what is the probability that it is not white?

A. 1/10
B. 3/10
C. 7/10
D. 1/3

Solution

There are 3 non-white balls. Probability = 3/10.

Correct Answer: B — 3/10

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Q. A box contains 10 balls: 3 are blue, 4 are red, and 3 are green. What is the probability of drawing a blue ball?

A. 1/3
B. 3/10
C. 1/4
D. 2/5

Solution

The total number of balls is 10. The probability of drawing a blue ball is 3/10.

Correct Answer: B — 3/10

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Q. A box contains 10 balls: 3 are red, 4 are blue, and 3 are green. What is the probability of drawing a blue ball?

A. 1/3
B. 2/5
C. 4/10
D. 3/10

Solution

The total number of balls is 10. The probability of drawing a blue ball is 4/10 = 2/5.

Correct Answer: B — 2/5

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Q. A box contains 10 balls: 4 are blue, 3 are green, and 3 are red. What is the probability of drawing a red ball?

A. 1/3
B. 3/10
C. 1/4
D. 2/5

Solution

The total number of balls is 10. The probability of drawing a red ball is 3/10.

Correct Answer: B — 3/10

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Q. A box contains 10 balls: 4 blue, 3 green, and 3 red. What is the probability of drawing a red ball?

A. 1/3
B. 1/4
C. 3/10
D. 3/5

Solution

The total number of balls is 10. The probability of drawing a red ball is 3/10.

Correct Answer: C — 3/10

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Q. A box contains 10 balls: 4 red, 3 blue, and 3 green. What is the probability of drawing a blue ball?

A. 1/3
B. 3/10
C. 2/5
D. 1/5

Solution

The probability of drawing a blue ball is 3/10.

Correct Answer: B — 3/10

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Q. A box contains 10 balls: 6 white and 4 black. If one ball is drawn at random, what is the probability that it is not black?

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

Solution

The probability of not drawing a black ball = 6/10 = 3/5.

Correct Answer: D — 4/5

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Q. A box contains 10 chocolates, 4 of which are dark chocolate. What is the probability of selecting a dark chocolate?

A. 2/5
B. 1/3
C. 1/2
D. 4/10

Solution

Probability of selecting dark chocolate = 4/10 = 2/5.

Correct Answer: A — 2/5

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Q. A box contains 10 chocolates, 4 of which are dark chocolate. What is the probability of randomly selecting a dark chocolate?

A. 0.4
B. 0.5
C. 0.3
D. 0.2

Solution

The probability of selecting a dark chocolate is 4/10 = 0.4.

Correct Answer: A — 0.4

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Q. A box contains 12 chocolates, 4 of which are dark chocolate. What is the probability of selecting a dark chocolate?

A. 1/3
B. 1/4
C. 1/2
D. 1/6

Solution

Probability of dark chocolate = 4/12 = 1/3.

Correct Answer: A — 1/3

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Q. A box contains 4 green, 5 yellow, and 6 red marbles. What is the probability of picking a yellow marble?

A. 1/3
B. 5/15
C. 1/5
D. 1/4

Solution

Total marbles = 4 + 5 + 6 = 15. Probability of yellow = 5/15 = 1/3.

Correct Answer: A — 1/3

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Q. A box contains 4 green, 6 yellow, and 10 red marbles. What is the probability of picking a yellow marble?

A. 1/5
B. 3/10
C. 6/20
D. 1/2

Solution

Total marbles = 4 + 6 + 10 = 20. Probability of yellow marble = 6/20 = 3/10.

Correct Answer: C — 6/20

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Q. A box contains 4 green, 6 yellow, and 2 black balls. What is the probability of picking a yellow ball?

A. 1/6
B. 1/3
C. 3/5
D. 3/8

Solution

Total balls = 4 + 6 + 2 = 12. Probability of yellow ball = 6/12 = 1/2.

Correct Answer: C — 3/5

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Q. A box contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is black?

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

Solution

The total number of balls is 4 + 6 = 10. The probability of drawing a black ball is 6/10 = 3/5.

Correct Answer: B — 3/5

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Q. A box contains 4 white, 5 black, and 6 red balls. What is the probability of picking a black ball?

A. 1/3
B. 5/15
C. 1/4
D. 5/15

Solution

Total balls = 4 + 5 + 6 = 15. Probability of black ball = 5/15 = 1/3.

Correct Answer: B — 5/15

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Arithmetic Aptitude

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