Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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Q. A bill of Rs. 18000 is due in 4 months. What is the Banker's Discount at the rate of 9% per annum?

A. Rs. 540
B. Rs. 360
C. Rs. 720
D. Rs. 450

Solution

Banker's Discount = (18000 × 9 × (4/12)) / 100 = Rs. 540.

Correct Answer: B — Rs. 360

Q. A bill of Rs. 20000 is due in 1 year. If the bankers' discount is Rs. 1600, what is the effective rate of interest?

A. 8%
B. 10%
C. 12%
D. 14%

Solution

Effective Rate = (BD × 100) / (Face Value × Time) = (1600 × 100) / (20000 × 1) = 8%.

Correct Answer: A — 8%

Q. A bill of Rs. 25000 is discounted at 5% per annum for 3 months. What is the bankers' discount?

A. Rs. 312.5
B. Rs. 625
C. Rs. 500
D. Rs. 750

Solution

Bankers' Discount = (25000 × 5 × 0.25) / 100 = Rs. 312.5.

Correct Answer: B — Rs. 625

Q. A bill of Rs. 25000 is due in 1 year. Calculate the Banker's Discount at the rate of 5% per annum.

A. Rs. 1250
B. Rs. 1000
C. Rs. 1500
D. Rs. 2000

Solution

Banker's Discount = (25000 × 5 × 1) / 100 = Rs. 1250.

Correct Answer: A — Rs. 1250

Q. A bill of Rs. 4000 is due in 2 months. What is the Banker's Discount at the rate of 5% per annum?

A. Rs. 33.33
B. Rs. 20
C. Rs. 50
D. Rs. 40

Solution

Banker's Discount = (4000 * 5 * 2/12) / 100 = Rs. 33.33.

Correct Answer: A — Rs. 33.33

Q. A bill of Rs. 5000 is due in 3 months. What is the Banker's Discount at the rate of 10% per annum?

A. Rs. 125
B. Rs. 100
C. Rs. 150
D. Rs. 200

Solution

Banker's Discount = (Face Value * Rate * Time) / 100 = (5000 * 10 * 3/12) / 100 = Rs. 125.

Correct Answer: A — Rs. 125

Q. A bill of Rs. 5000 is due in 6 months. What is the Banker's Discount at the rate of 10% per annum?

A. Rs. 250
B. Rs. 300
C. Rs. 500
D. Rs. 400

Solution

Banker's Discount = (Principal × Rate × Time) / 100 = (5000 × 10 × 0.5) / 100 = Rs. 250.

Correct Answer: A — Rs. 250

Q. A bill of Rs. 5000 is due in 6 months. What is the bankers' discount at the rate of 10% per annum?

A. Rs. 250
B. Rs. 300
C. Rs. 500
D. Rs. 600

Solution

Bankers' Discount = (Principal × Rate × Time) / 100 = (5000 × 10 × 0.5) / 100 = Rs. 250.

Correct Answer: A — Rs. 250

Q. A bill of Rs. 6000 is due in 9 months. If the Banker's Discount is Rs. 450, what is the rate of interest?

A. 8%
B. 9%
C. 10%
D. 11%

Solution

Banker's Discount = (Face Value * Rate * Time) / 100. 450 = (6000 * Rate * 9/12) / 100. Rate = 10%.

Correct Answer: C — 10%

Q. A bill of Rs. 7000 is due in 1 year. If the Banker's Discount is Rs. 700, what is the rate of interest?

A. 10%
B. 12%
C. 14%
D. 16%

Solution

Banker's Discount = (7000 * Rate * 1) / 100. 700 = (7000 * Rate) / 100. Rate = 10%.

Correct Answer: B — 12%

Q. A bill of Rs. 8000 is discounted at 15% per annum for 3 months. What is the bankers' discount?

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

Solution

Bankers' Discount = (8000 × 15 × 3/12) / 100 = Rs. 300.

Correct Answer: A — Rs. 300

Q. A bill of Rs. 8000 is due in 2 months. If the bankers' discount is Rs. 160, what is the rate of interest?

A. 9%
B. 10%
C. 12%
D. 15%

Solution

Rate = (BD × 100) / (Principal × Time) = (160 × 100) / (8000 × 1/6) = 12%.

Correct Answer: A — 9%

Q. A boat can cover a distance of 48 km downstream in 4 hours. If the speed of the stream is 4 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

Let the speed of the boat in still water be y km/h. Downstream speed = y + 4 km/h. Therefore, (y + 4) * 4 = 48. Solving gives y = 12 km/h.

Correct Answer: C — 12 km/h

Q. A boat can go 10 km/h in still water. If the speed of the current is 2 km/h, how long will it take to travel 50 km downstream?

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

Solution

Speed downstream = 10 + 2 = 12 km/h. Time = Distance/Speed = 50/12 = 4.17 hours.

Correct Answer: C — 4 hours

Q. A boat can go 15 km upstream and 21 km downstream in 3 hours. If the speed of the boat in still water is 10 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. The speed upstream = (10 - x) km/h and downstream = (10 + x) km/h. Time taken upstream = 15/(10 - x) and downstream = 21/(10 + x). Therefore, (15/(10 - x)) + (21/(10 + x)) = 3. Solving gives x = 3 km/h.

Correct Answer: B — 3 km/h

Q. A boat can go 15 km upstream in 3 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h?

A. 4 km/h
B. 5 km/h
C. 6 km/h
D. 7 km/h

Solution

Speed upstream = Distance/Time = 15 km / 3 h = 5 km/h. Speed of boat in still water = Speed upstream + Speed of current = 5 km/h + 3 km/h = 8 km/h.

Correct Answer: B — 5 km/h

Q. A boat can go 15 km/h in still water. If the speed of the current is 3 km/h, what is the speed of the boat downstream?

A. 12 km/h
B. 15 km/h
C. 18 km/h
D. 21 km/h

Solution

Speed downstream = Speed of boat + Speed of current = 15 + 3 = 18 km/h.

Correct Answer: C — 18 km/h

Q. A boat can go 20 km upstream in 5 hours. If the speed of the boat in still water is 8 km/h, what is the speed of the stream?

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

Solution

Let the speed of the stream be x km/h. Upstream speed = (8 - x) km/h. Therefore, 20/(8 - x) = 5. Solving gives x = 2 km/h.

Correct Answer: B — 2 km/h

Q. A boat can go 24 km downstream in 3 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the current?

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

Solution

Speed downstream = Distance/Time = 24 km / 3 h = 8 km/h. Speed of current = Speed downstream - Speed of boat in still water = 8 km/h - 10 km/h = -2 km/h (not possible).

Correct Answer: B — 4 km/h

Q. A boat can go 25 km upstream in 5 hours. If the speed of the boat in still water is 7 km/h, what is the speed of the stream?

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

Solution

Let the speed of the stream be x km/h. Upstream speed = (7 - x) km/h. Therefore, 25/(7 - x) = 5. Solving gives x = 2 km/h.

Correct Answer: B — 2 km/h

Q. A boat can go 36 km upstream in 6 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?

A. 6 km/h
B. 8 km/h
C. 10 km/h
D. 12 km/h

Solution

Speed upstream = Distance/Time = 36 km / 6 h = 6 km/h. Speed of boat in still water = Speed upstream + Speed of current = 6 km/h + 2 km/h = 8 km/h.

Correct Answer: B — 8 km/h

Q. A boat can travel 40 km upstream in 8 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

A. 6 km/h
B. 8 km/h
C. 10 km/h
D. 12 km/h

Solution

Speed upstream = Distance/Time = 40 km / 8 h = 5 km/h. Speed of boat in still water = Speed upstream + Speed of current = 5 km/h + 4 km/h = 9 km/h.

Correct Answer: C — 10 km/h

Q. A boat can travel 40 km upstream in 8 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

A. 4 km/h
B. 6 km/h
C. 8 km/h
D. 10 km/h

Solution

Let the speed of the boat in still water be y km/h. Upstream speed = (y - 2) km/h. Therefore, (y - 2) * 8 = 40. Solving gives y = 8 km/h.

Correct Answer: C — 8 km/h

Q. A boat can travel 80 km downstream in 8 hours. If the speed of the current is 4 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 = 80 km / 8 h = 10 km/h. Speed of boat in still water = Speed downstream - Speed of current = 10 km/h - 4 km/h = 6 km/h.

Correct Answer: C — 12 km/h

Q. A boat can travel at 10 km/h in still water. If it takes 2 hours to go upstream and 1 hour 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 = 10 - x, Downstream speed = 10 + x. Time upstream = 2 hours, Time downstream = 1 hour. Thus, 2(10 - x) = Distance and 1(10 + x) = Distance. Equating gives x = 3 km/h.

Correct Answer: B — 3 km/h

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

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

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

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

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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