1006 . A man travels a certain distance at a rate of 20 miles an hour and returns at the rate of 30 miles an hour . What is his average speed ?

A. 24
B. 25.5
C. 25
D. None of these

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Answer: Option A

Explanation:

To calculate the average speed of a man who travels a certain distance at a rate of 20 miles an hour and returns at the rate of 30 miles an hour, we can use the following formula:

Average speed = 2 * (Distance traveled) / (Total time taken)

We know that the distance traveled in both directions is the same. Let the distance traveled be d miles.

The total time taken is equal to the time taken to travel d miles at a rate of 20 miles an hour plus the time taken to travel d miles at a rate of 30 miles an hour.

Total time taken = d / 20 + d / 30 = 5d / 60 hours

Substituting the given values in the formula for average speed, we get:

Average speed = 2 * d / (5d / 60) = 24 miles per hour

Therefore, the average speed of the man is 24 miles per hour.

So the answer is 24

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Bangladesh Bank - Officer - 2001

A. 90
B. 80
C. 120
D. 60

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Answer: Option D

Explanation:

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1008 . A man walked 2 km east, then 2 km south, then again 4 km east and finally 10 km north. How far in a straight line did he walk from the starting point ?

A. 10
B. 9
C. 8
D. 7

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Answer: Option A

Explanation:

Let's visualize this situation step by step:

The man walked 2 km east.
Then, he walked 2 km south.
Next, he walked 4 km east.
Finally, he walked 10 km north.
To find the straight-line distance from the starting point, we can treat this as a displacement problem. We can use the Pythagorean theorem because the man's path forms a right-angled triangle.

The 2 km east and 4 km east segments form the horizontal legs of the right triangle.
The 2 km south and 10 km north segments form the vertical legs of the right triangle.
Let's calculate the lengths of these legs separately:

Horizontal leg (East): 2 km + 4 km = 6 km

Vertical leg (North-South): 10 km (north) - 2 km (south) = 8 km (net northward)

Now, we can use the Pythagorean theorem to find the length of the hypotenuse (the straight-line distance):

c^2=a^2+b^2

Where:

c is the length of the hypotenuse (the straight-line distance).
a is the horizontal leg (6 km).
b is the vertical leg (8 km).
Substitute the values:

c^2=6^2+8^2

c^2=36+64

c^2=100

Now, find the square root of both sides to get c:

c=100=10 kilometers

So, the straight-line distance from the starting point is 10 kilometers. The correct answer is indeed 10, as provided in the answer choices.

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1009 . A man walked 2 miles east, then 2 miles south , then again 4 miles east and finally 10 miles north. How far did he walk from the starting point ?

A. 10
B. 9
C. 8
D. 7

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Answer: Option A

Explanation:

x² = 6²+ 8²

x² = 36 + 6⁴

x² = 100

x = 10

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1010 . A man walks 10m east but runs 5m west every day. How many days will it take him to cross a building 380m east?

A. 75 days
B. 76 days
C. 78 days
D. 80 days

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Answer: Option A

Explanation:

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Sonali &amp- Janata Bank Ltd. Senior Officer (IT/ICT) 08.06.2018

A. 300
B. 318
C. 322
D. 324

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Answer: Option D

Explanation:

ব্যাখাঃ ১০ মাইল হাটে ১ ঘন্টায়

৫০ মাইল হাটে ৫০/১০ ঘন্টায় = ৫ ঘন্টায়

= ( ৫×৬০) সেকেন্ড = ৩০০ সেকেন্ড

লোকটি ৫০ মাইল হাটতে প্রতি ১০ মাইল অন্তর ৪ বার বিশ্রাম নিতে হয়।

সুতরাং, লোকটির মোট সময় লাগে = ৩০০ + ৬×৪ = ৩২৪ সেকেন্ড

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1012 . A man walks down the road for half an hour at an average speed of 3 miles per hour. He waits 10 minutes for a bus, which him back to his starting point at 3 : 15. If the man began his walk at 2 : 25 the same afternoon, what was the average speed of the bus?

A. 3 mph
B. 4.5 mph
C. 6 mph
D. 9 mph

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Answer: Option D

Explanation:

The man walks down the road for half an hour at an average speed of 3 miles per hour. This means he covers a distance of (3 miles per hour) * (0.5 hours) = 1.5 miles during his walk.

He waits 10 minutes for a bus, which takes him back to his starting point at 3:15. This means the bus ride took 3:15 - 2:25 = 50 minutes.

We know that during this 50-minute bus ride, the man traveled 1.5 miles.

Now, let's calculate the average speed of the bus. We'll convert the time to hours:

50 minutes = 50/60 hours = 5/6 hours

Average speed of the bus = Distance / Time = 1.5 miles / (5/6 hours)

To divide by a fraction, we can multiply by its reciprocal:

Average speed of the bus = 1.5 miles * (6/5) hours = 9 miles per hour

So, the average speed of the bus is 9 miles per hour.

The correct answer is 9 mph.

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1013 . A man works twice as fast as any of his helpers. if he does a jobs in 90 hours how many hours are required for 6 helpers to do this jobs.

A. 15
B. 30
C. 45
D. 10

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Answer: Option B

Explanation:

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1014 . A man works twice as much as his assistant. The man can finish the job in 12 days. Find the number of days in which the man and his assistant can finish the job if they work together?

A. 12
B. 8
C. 6
D. 10

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Answer: Option B

Explanation:

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1015 . A manufacturer finds that 0.4% of his production is defected and unsuitable for marketing. How many to 1000 units produced will be rejected?

A. 4
B. 40
C. 400
D. 140

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Answer: Option A

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1016 . A manufacturer of jam wants to make a profit of Tk.0.65 each to make first 100 jars and Tk.0.55 to make each jar after the first 100. What price would be charge for 300 jars of jam?

A. Tk.75
B. Tk.175
C. Tk.225
D. Tk.240

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Answer: Option B

Explanation:

(0.65*100+ 0.55*200) = 175

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1017 . A manufacturer of TV wants to make a profit of Tk. 300,000 on sale of 200 TV sets. It costs Tk. 10,000 each to make the first 100 TV sets and Tk. 7,500 each to make TV sets after the first 100 sets. What should be the selling price of each TV sets in Taka?

A. 10,250
B. 10,350
C. 10,500
D. 10,600
E. None of these

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Answer: Option A

Explanation:

200 TV set Total cost = (10,000 ×">×× 100) + (7,500 ×">×× 100) = TK. 17,50,000

Total selling price = Cost price + Profit

= 17,50,000 + 3,00,000

= Tk. 20,50,000

Selling price of each TV set = 2050000/200

= TK. 10,250 (ans)

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1018 . A manufacturer of TV wants to make a profit of Tk.300000 on sales of 200 TV sets. It costs Tk.10000 each to make the first 100 TV sets and Tk.7500 each to make TV sets after the first 100 sets. What should be the selling price of each TV sets in Taka?

A. 10250
B. 10350
C. 10500
D. 10750

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Answer: Option A

Explanation:

200 TV set এর Total cost = (10,000 × 100) + (7,500 × 100) = TK. 17,50,000

Total selling price = Cost price + Profit

= 17,50,000 + 3,00,000

= Tk. 20,50,000

Selling price of each TV set = 2050000/200

= TK. 10,250

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1019 . A manufacturer sells three products i.e A, B C. Product A costs 200 and sells for 250, product 150 and sells for 180, Product C cost 100 and sells for 110. On which product, he has maximum percentage of profit?

A. B only
B. A and B both
C. A only
D. C only

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Answer: Option C

Explanation:

A এর শতকরা মুনাফা = ২৫০ - ২০০/২০০ × ১০০ = ২৫%

B এর শতকরা মুনাফা = ১৮০ - ১৫০ /১৫০ × ১০০ = ২০%

C এর শতকরা মুনাফা = ১১০ - ১০০/১০০ × ১০০ = ১০%

উত্তরঃ A only.

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1020 . A map has a scale of 1cm to 3km, what length on actual ground does a 3cm length on the map represent ?

A. 9km
B. 1km
C. 6km
D. 6cm

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Answer: Option A

Explanation:

Here for each 1 cm of map distance shows 3 km in real distance

so for 3 cm in map distance, the actual distance will be 3*3 = 9 km.

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Bangladesh Bank - Assistant Director - 2010

1006 . A man travels a certain distance at a rate of 20 miles an hour and returns at the rate of 30 miles an hour . What is his average speed ?

1007 . A man travels a distance of 60 km at a speed of 90 km/hr and then returns at twice the speed. The total time he took in how many minutes?

1008 . A man walked 2 km east, then 2 km south, then again 4 km east and finally 10 km north. How far in a straight line did he walk from the starting point ?

1009 . A man walked 2 miles east, then 2 miles south , then again 4 miles east and finally 10 miles north. How far did he walk from the starting point ?

1010 . A man walks 10m east but runs 5m west every day. How many days will it take him to cross a building 380m east?

1011 . A man walks at a rate of 10mph.After every ten miles, he rest for 6minutes. How much time does he take to walk 50miles?

1012 . A man walks down the road for half an hour at an average speed of 3 miles per hour. He waits 10 minutes for a bus, which him back to his starting point at 3 : 15. If the man began his walk at 2 : 25 the same afternoon, what was the average speed of the bus?

1013 . A man works twice as fast as any of his helpers. if he does a jobs in 90 hours how many hours are required for 6 helpers to do this jobs.

1014 . A man works twice as much as his assistant. The man can finish the job in 12 days. Find the number of days in which the man and his assistant can finish the job if they work together?

1015 . A manufacturer finds that 0.4% of his production is defected and unsuitable for marketing. How many to 1000 units produced will be rejected?

1016 . A manufacturer of jam wants to make a profit of Tk.0.65 each to make first 100 jars and Tk.0.55 to make each jar after the first 100. What price would be charge for 300 jars of jam?

1017 . A manufacturer of TV wants to make a profit of Tk. 300,000 on sale of 200 TV sets. It costs Tk. 10,000 each to make the first 100 TV sets and Tk. 7,500 each to make TV sets after the first 100 sets. What should be the selling price of each TV sets in Taka?

1018 . A manufacturer of TV wants to make a profit of Tk.300000 on sales of 200 TV sets. It costs Tk.10000 each to make the first 100 TV sets and Tk.7500 each to make TV sets after the first 100 sets. What should be the selling price of each TV sets in Taka?

1019 . A manufacturer sells three products i.e A, B C. Product A costs 200 and sells for 250, product 150 and sells for 180, Product C cost 100 and sells for 110. On which product, he has maximum percentage of profit?

1020 . A map has a scale of 1cm to 3km, what length on actual ground does a 3cm length on the map represent ?

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