Pubali Bank Ltd - Junior Officer - 2005 এর প্রশ্ন পড়ুন।

প্রশ্নঃ A man can cross 10 miles distance of a river in favor of the stream in 2 hours . He can come back against the stream along the same way in 5 hours . What is the average speed, in miles per hour, for the entire trip ?

বর্ণনাঃ

Total distance = 10 + 10 = 20 miles

Total time required = 5 + 2 = 7 hours

Average speed = 20/7 miles per hour

প্রশ্নঃ On a trip of 200 miles, a man travels at the rate of 40 miles per hour for the first 100 miles. For the rest of the trip, he travels at the rate of 55 miles per hour . What is his average speed, in miles per hour, for the total trip ?

বর্ণনাঃ

Total time spent = 100/40 + 100/55 = 5/2 + 20/11 = 95/22 hours

Average speed = 200 / (95/22) = 200 x 22 / 95 =  880/19 miles per hour

প্রশ্নঃ Three boys have marbles in the ratio of 19:5:3 . If the boy with the least number of marbles has 9 marbles, how many marbles does the boy with the greatest number have ?

বর্ণনাঃ

Smaller ratio 3 = 9

So, Smaller ratio 1 = 9/3 = 3

Now,

Highest ratio 19 = 19×3 = 57 

প্রশ্নঃ Last year I bought 1000 shares of Sunshine Enterprises at TaKa 17.25 per share. Today the stock is quoted at TaKa 17,375. How much profit shall I make by selling all the shares today ?

বর্ণনাঃ

Cost of share = 17.25 x 1000 = 17250 TK.

Profit = 17375 - 17250 = 125 TK.

প্রশ্নঃ An item is sold for $65.00, giving the retailer a profit of 30% of the cost . What will be the new retail price if the retailer cuts his profit to 10% of costs ?

বর্ণনাঃ

when sp 130 then cp 100

when sp 1 then cp. 100/130

When Sp 65 then cp 100×65/130

So Cp =50

Therefore the new retail price = 50+50×10%= $55

ans:$55 

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

বর্ণনাঃ

In every 100 units of production 0.4 unit gets rejected

So, in every 1000 units of production 0.4 x 1000 / 100 = 4 units get rejected

প্রশ্নঃ Six consecutive whole numbers are given ; the sum of the first three numbers is 27. What is the sum of the last three numbers ?

বর্ণনাঃ

Let the numbers be (x-3), (x-2), (x-1), x, (x+1), (x+2) respectively.

Now, (x-3) + (x-2) + (x-1) = 27

or, 3x - 6 = 27

or, 3x = 33

or,  x = 11.

So,  x + (x+1) + (x+2) = 11 + 12 + 13 = 36.

প্রশ্নঃ The length of rectangle is increased by 20% and the width is decreased by 20% . What is the percentage increase or decrease of the area of the rectangle .

বর্ণনাঃ

We can let L= the original length

and W= the original width 

Thus, the original area of the rectangular is LW and the new area is 1.2L× 0.8W= 0.96LW

So, the area is decreased by 4% 

প্রশ্নঃ All 120 students in a class play cricket or football or both, 75 play cricket and 60 play football.

বর্ণনাঃ

শুধু ক্রিকেট খেলে = 75 জন 

এবং ফুটবল খেলে = 60 জন 

ক্রিকেট ও ফুটবল খেলে = 75 + 60 = 135 জন 

মোট ছাত্র 120 জন হলে তাদের মধ্যে উভয়টি খেলে = 135 - 120 = 15 জন । 

প্রশ্নঃ In how many ways can a subcommittee of four persons be formed from amongst four women and six men so that one particular man is always included ?

বর্ণনাঃ

Total persons = 4 + 6 = 10

Possible ways = ^10-1C_4-1 = ⁹C₃ = 84.

প্রশ্নঃ A number is selected at random from 40 to 59 inclusive . What is the probability that the number is prime number ?

বর্ণনাঃ

Total number of numbers = 59 - 40 + 1 = 20

Prime numbers : 41, 43, 47, 53, 59 = 5 in total

So, the probability = 5/20 = 1/4

প্রশ্নঃ A arden is 60m long and 20m wide. Inside the garden there is a 5m wide path around it . The area of the path is in square meter .

বর্ণনাঃ

Area including path = 60 x 20 = 1200 sq. m.

Length without path = 60 - (5x2) = 50 m

Width without path = 20 - (5x2) = 10 m

Area without path = 50 x 10 = 500 sq. m.

Area of the path = 1200 - 500 = 700 sq. m.

প্রশ্নঃ A circular flower bed has diameter 4m. The flower bed is increased so that the diameter is now 12m. How many times larger is the new flower bed?

বর্ণনাঃ

In case of a circle, Area ∝ (diameter)²

So,   A₂/A₁ = d₂²/d₁²

or,  A₂ = d₂²/d₁² x A₁

               =12²/4² x A₁

               = 9 A₁

প্রশ্নঃ A man binds 112 books in a day , and his assistant work 1/4 as fast . How many days will it take them to bind 560 books, if each alone works on alternate days ?

বর্ণনাঃ

His assistant binds 1/4 x 112 = 28 books a day.

So, they bind 112 + 28 = 140 books in every 2 days working in alternate days

They will need 560/140 x 2 days = 8 days.

প্রশ্নঃ A train passes city X at 9.55 am and Y city at 10.15 am . The distance between cities X and Y is 45 miles . What is the average speed, in miles per hour of the train ?

বর্ণনাঃ

9:55 am to 10:15 am = 20 minutes = 1/3 hour

Average speed = 45 / (1/3) = 135 miles per hour

প্রশ্নঃ First Atom Bomb was dropped in

বর্ণনাঃ

The United States detonated two nuclear weapons over the Japanese cities of Hiroshima and Nagasaki on August 6 and 9, 1945, respectively. The two bombings killed between 129,000 and 226,000 people, most of whom were civilians, and remain the only use of nuclear weapons in armed conflict

প্রশ্নঃ Sania Mirza is a

বর্ণনাঃ

Sania  born 15 November 1986) is an Indian professional tennis player. A former doubles world No. 1, she has won six Grand Slam titles in her career. From 2003 until her retirement from singles in 2013, she was ranked by the Women's Tennis Association as India's No. 1 player. Throughout her career, Mirza has established herself as by far the most successful Indian female tennis player ever and one of the highest-paid and most high-profile athletes in the country.

প্রশ্নঃ Hepatitis- C increases the risk of

বর্ণনাঃ

Chronic hepatitis C can be a lifelong infection if left untreated. Chronic hepatitis C can cause serious health problems, including liver damage, cirrhosis (scarring of the liver), liver cancer, and even death.

প্রশ্নঃ The World Bank is a

বর্ণনাঃ

The World Bank is an international financial institution that provides loans and grants to the governments of low- and middle-income countries for the purpose of pursuing capital projects. It comprises two institutions: the International Bank for Reconstruction and Development (IBRD), and the International Development Association (IDA). The World Bank is a component of the World Bank Group.

প্রশ্নঃ ICC office has been shifted from lords, England to

বর্ণনাঃ

The ICC headquarters was shifted to Dubai from Lords, London, in 2005 after the UK government refused to grant the tax concessions that the cricket body had asked for.

প্রশ্নঃ HIV AIDS can be spread through

বর্ণনাঃ

A person with HIV can pass the virus on to others even if they don't have any symptoms. People with HIV can pass the virus on more easily in the weeks following infection.

HIV treatment significantly reduces the risk of someone with HIV passing it on.

প্রশ্নঃ Which of the following is not a part of milk ?

বর্ণনাঃ

Milk is a nutrient-rich liquid food produced by the mammary glands of mammals. It is the primary source of nutrition for young mammals, including breastfed human infants before they are able to digest solid food.

Early-lactation milk is called colostrum, which contains antibodies that strengthen the immune system and thus reduces the risk of many diseases.

It holds many other nutrients, including protein and lactose. Interspecies consumption of milk is not uncommon, particularly among humans, many of whom consume the milk of other mammals.

প্রশ্নঃ What causes an eclipses of the sun ?

বর্ণনাঃ

Sometimes when the moon orbits Earth, it moves between the sun and Earth. When this happens, the moon blocks the light of the sun from reaching Earth. This causes an eclipse of the sun, or solar eclipse.

প্রশ্নঃ Phulbari Coal Mine is in

বর্ণনাঃ

The Phulbari coal project is a proposed open pit coal mine in northwest Bangladesh and includes the construction of at least one 500-MW power plant. At full production about eight million tons of coal will be transported by rail and barges to an offshore reloading facility located in Akram Point.

প্রশ্নঃ Paharpur Monastery is in

বর্ণনাঃ

Geographically located to the north-west of Bangladesh in the district of Naogaon, the heart-land of ancient “Varendra”, close to the village of Paharpur the extensive ruins of the Buddhist monastic complex are the most spectacular and important pre-Islamic monument in Bangladesh.