Mercantile Bank Ltd - Officer - 2006 এর প্রশ্ন পড়ুন।

প্রশ্নঃ Aslam drove west 10 miles, south 5 miles, west 30 miles and north 35 miles to avoid paying a toll on a direct road. What is the length of the toll road in miles?

বর্ণনাঃ

Aslam drove west 10 miles, south 5 miles, west 30 miles, and north 35 miles=west 40 miles, north 30

so we get, (30)2+(40)2=n2

or,900+1600=n2

or,2500=n2

.'.n=50 or -50

Throwing out the negative answer, we get the distance to be 50 miles

ans: 50 miles

প্রশ্নঃ Muzahid wants to borrow Tk. 2,00,000 from a bank. The amount with interest rate of 15% is to be repaid 18 months from now. How much will be the repayment amount?

বর্ণনাঃ

here,

r=15/100

t=18/12 yr

so,Interest, I=(200000×15×18)/(12×100)

      =45000 tk

so, total repayment amount =200000+45000

   =245000tk

ans: 245000tk

প্রশ্নঃ Jahirul and Jalil agree to from a partnership. The partnership agreement requires that Jahirul invests Tk. 7000.00 less than one half of what Jalil invests. If the total investment is Tk. 1,25,000.00, how much does Jalil invest?

বর্ণনাঃ

Let, Jalil invest X

:. Jahirul invests (X/2) - 7000

According to the question,

X+(X/2) - 7000 = 125000

=> (2X+X)/2 = 125000+7000

=> 3X/2 = 132000

:. X = (132000 x 2)/3

=> X = 88000

Answer: Jalil invests Tk. 88000

প্রশ্নঃ A man has 72 green marbles and 108 red marbles. He decides to pack them into packets of the same size, each containing either all red of all green marbles. What is the maximum number of marbles he can put in each packet?

বর্ণনাঃ

The maximum number of marbles in a single package is the HCF (Highest Common Factor) of 72 and 108.

72= 2 x 2 x 2 x 3 x 3

108= 2 x 2 x 3 x 3 x 3

.'.HCF of 72 and 108  is = 2 x 2 x 3 x 3=36.

So the max number of marbles that can go into a package is 36.

ans: 36

প্রশ্নঃ A post office imposes a service charge of Tk. 75 per money order of the amount of Tk. 2,500 or less, and Tk. 100 per money order of the amount from Tk. 2,501 through Tk. 70,000. If Mariam makes 3 money orders of Tk. 1,825, Tk. 2,500 and Tk. 12,750, what is the total service charge she needs to pay?

বর্ণনাঃ

Service charge for the 1st order = 75 tk (As the amount is less than Tk.2500)

Service charge for the 2nd order = 75 tk (As the amount is equal to TK.2500)

Service charge for the 3rd order = 100 tk (As the amount is more than Tk.2500)

Therefore, the total service charge = 75 + 75 + 100 = 250 tk

ans: 250 tk

প্রশ্নঃ A time study specialist has set the production rate for each worker on a job at 22 units every three hours. At this rate, what is the minimum number of workers that should be put on the job, if at least 90 units are to be produced per hour?

বর্ণনাঃ

The rate for each worker can be expressed as 22/7 units per hour. 

let, n = the number of workers needed to produce 90 units per hour, and we have:

so, n(22/3) = 90

or, 22n = 270

.'.n = 270/22 = 12.2, so there must be at least 13 workers.

ans: 13 workers

প্রশ্নঃ In a room, all except 18 of the people are over 50 years of age. 15 of the people in the room are under 50 years of age. If 10% of the people are at the age of 50 years, how many people are in the room>

বর্ণনাঃ

let,

Total number of people=x

50 years of age=x-18

Under 15 years of age=15

0.10x=x-x+18-15

.'.x=30

ans: 30

প্রশ্নঃ For every Christian person in a representative committee there are two Hindus and for each Hindu person there are seven Muslims. This policy represents the ratio of different religions in a population. Express the ratio of Muslims to Hindus to Christians in that population.

বর্ণনাঃ

Christian : Hindu = 1 : 2 

Hindu : Muslim = 1 : 7 = (1 x 2) : (7 x 2) = 2 : 14

So,  Muslim : Hindu : Christian = 14 : 2 : 1

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 How many tiles each of 1 square foot are necessary to form a 1 foot border around the inside of a 24 feet by 14 feet room?

বর্ণনাঃ

Area of the total room = 24 x 14 = 336 sq ft

Measurements of the room without the border will be (24 - 1x2)=22 ft by (14 - 1x2)=12 ft.

Therefore, Area of the room without the border = 22 x 12 = 264 sq ft

So, the area of the border = 336 - 264 = 72 sq ft.

Then, the number of tiles required = 72/1 = 72.

প্রশ্নঃ In a factory there are 3 machines to perform a job. The newest machine can do the job in 3 days, another machine can do it in 4 days, and the third machine can do it in 6 days. How many days will the factory take to do the job using all three machines together?

বর্ণনাঃ

All three of the machines together can complete (1/3 + 1/4 + 1/6) = 3/4 part of the job in a day.

Those machines can complete 3/4 part of the job in 1 day.

So, the machines can complete the whole job in 1/(3/4) = 4/3 = 1.333 day. 

প্রশ্নঃ A collection of books went on sale and 2/3 of these were sold for Tk. 2.30 each. If none of 36 remaining books were sold, what was the total amount received from the number of books sold?

বর্ণনাঃ

Remaining books = 1 - 2/3 = 1/3

1/3 of the books = 36

So, 2/3 of the books = 36 x (2/3) / (1/3) = 72

Then, total amount received from the sold books = 72 x 2.3 = 165.6 TK.

প্রশ্নঃ In a group of 15 high school students, 7 study Latin, 8 study French and 3 study neither Latin nor French. How many students study both Latin and French?

বর্ণনাঃ

The number of students studying Latin or French n(LUF) = 15 - 3 = 12

Now,  n(LUF) = n(L) + n(F) - n(LꓵF)

or,   n(LꓵF) = n(L) + n(F) - n(LUF) = 7 + 8 - 12 = 3

প্রশ্নঃ If 4x-7 <2x+13, then which of the following must be true?

বর্ণনাঃ

Here, 4x-7 < 2x+13

or,  4x-2x < 13+7

or,  2x < 20

or,  x < 10

So, the statement x < 13 must be true.

প্রশ্নঃ Increasing the original price of an item by 15 percent and then increasing the new price by another 15 percent is equivalent to increasing the original price by

বর্ণনাঃ

Let the original price be P.

Now, the new price after increasing the original price by 15% = 1.15P

The final price after increasing the new price by another 15% = 1.15x1.15P = 1.3225P.

So, actual increament in the original price = {1.322P - P) / P} x 100 = 32.25%

[Shortcut: +15 +15 + (15x15)/100  = 32.25%]

প্রশ্নঃ A hawker takes 1.25 hours to deliver newspapers on his route. Another hawker takes 15 minutes longer to deliver these papers on the same route. How long would it take to deliver the papers if both of them worked together?

বর্ণনাঃ

First hawker takes 1.25 hours or 75 minutes and second hawker takes 75+15=90 minutes.

Together they can finish (1/75 +1/90)= 11/450 part of the delivery in 1 minute.

So, together they will finish the whole delivery in 1/(11/450) = 450/11 = 40.91 minutes.

প্রশ্নঃ Lines joining points (-4, 0), (0, 5) and (4, 0) will form

বর্ণনাঃ

Let the points be A(-4, 0), B(0, 5) and C(4, 0).

Now, AB = √{(-4-0)² + (0-5)²} = √41

BC = √{(0-4)² + (5-0)²} = √41

CA = √{(4+4)² + (0-0)²} = 8

Here, AB = BC. So, the triangle will be an isosceles triangle.