Southeast Bank Ltd - Officer - 2005 এর প্রশ্ন পড়ুন।

প্রশ্নঃ An employer pays 3 workers X, Y, and Z a total of Tk. 36,600.00 a week. X's paid 125% of the amount Y is paid and 80% of the amount Z is paid. How much does X make a week?

বর্ণনাঃ

X = 125/100 of Y    or,  Y = 100X/125 = 4X/5

Again,  X = 80/100 of  Z    or,  Z = 100X/80 =5X/4

Now,  X + Y + Z = 36600

or,  X + 4X/5 + 5X/4 = 36600

or,  (20X + 16X + 25X) / 20 = 36600

or,  61X = 20 x 36600

So,  X = 12000 TK.

প্রশ্নঃ A Company makes a profit 6% on its first Tk. 10,000 of sales day and 5% an all sales in excess of Tk. 10,000 for that day. How much profit will the company make in a day when sales are Tk. 16,000?

বর্ণনাঃ

Profit on first 10,000Tk. = 6*10000/100 = 600 Tk.

Profit on the rest of 60,000 Tk. that is,

Profit on 50,000 Tk. = 5*50000/100 = 2500 Tk.

Total Profit = ( 2500 + 600 ) Tk. = 3100 Tk.

প্রশ্নঃ When a certain number is divided by 7, the remainder is 0. But the remainder is not 0 when the number is divided by 14, then the remainder must be ---

বর্ণনাঃ

The number should be multiple of 7

Let, the number be 21

Now, (21/7) = 3, reminder 0

And (21/14) = 1, reminder 7 

প্রশ্নঃ If 18 identical machines required 40 days to complete a job, how many fewer days would have been required to do the job if 6 additional machines of the same type had been used from the beginning?

বর্ণনাঃ

18 machines complete a job in 40 days

So, 18+6 = 24 machines complete the job in 40 x 18 / 24 = 30 days

Number of days saved = 40 - 30 = 10 days

প্রশ্নঃ There are 20 members in a football squad. In electing a captain and a vice-captain, how many different outcomes of the election are possible?

বর্ণনাঃ

Number of possible outcomes = ²⁰C₂ = 190

প্রশ্নঃ If 4 is subtracted from one-fourth of a number, the result in 20. Which of the following is the number ---

বর্ণনাঃ

Let the number be X.

ATQ,   X/4 - 4 = 20

or,    X/4 = 20 + 4

or,   X = 24 x 4 = 96

প্রশ্নঃ The area of a rectangle R with width 4 feet is equal to the area of a square S which has a perimeter of 24 feet. The perimeter of the rectangle R, in feet is :

বর্ণনাঃ

Side of the square = 24/4 = 6.

Area of the square = 6² = 36

ATQ, Area of rectangle, Length x width = 36

or,   Length x 4 = 36

or, Length = 9

So, the perimeter of the rectangle = 2(Length + width) = 2(9 + 4) = 26

প্রশ্নঃ Salma's average in four tests is 80%. What marks does she need in her fifth test to raise her average to 84%?

বর্ণনাঃ

Let the required score in the fifth test be X.

Then,  (4 x 80 + X)/5 = 84

or,  320 + X = 5 x 84

or,  X = 420 - 320

or,  X = 100%

প্রশ্নঃ How many of the positive integers less than 25 are 2 less than an integer multiple of 4?

বর্ণনাঃ

As the number is 2 less than an integer multiple of 4, we can write the generalised form of the number as 4k – 2, where k is a positive integer.

When k = 1, the number is 4 x 1 – 2 = 2

When k = 2, the number is 4 x 2 – 2 = 6

When k = 3, the number is 4 x 3 – 2 = 10

When k = 4, the number is 4 x 4 – 2 = 14

When k = 5, the number is 4 x 5 – 2 = 18

When k = 6, the number is 4 x 6 – 2 = 22

When k = 7, the number is 4 x 7 – 2 = 26, which is not possible as the number is less than 25

so six  integers

প্রশ্নঃ A machine fills a bag with 7 ounces of potato chips in 3.5 seconds. At this rate, how many seconds will take the machine to fill a bag with 15 ounces of potato chips?

বর্ণনাঃ

Filling rate = 7/3.5 = 2 ounces per second

Time required = 15/2 = 7.5 seconds

প্রশ্নঃ What is the largest number of apples not exceeding 440 that can be distributed among three persons in the proportions of 5 : 6 : 7?

বর্ণনাঃ

The least common multiple of 5, 6 and 7 is 210. Twice of 210 is 420. So, a minimum number of 210 apples can be distributed among them while the largest number possible not exceeding 440 is 420.

প্রশ্নঃ 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?

বর্ণনাঃ

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 

প্রশ্নঃ If Taka 4,500 was invested in bonds of a corporation when the price per bond was Tk. 9.00 and Taka 3,000 was invested in bonds of another corporation when the price was Tk. 10.00 per bond, what was the average price of bonds purchased?

বর্ণনাঃ

Total investment = 4500 + 3000 = 7500 TK.

Number of Bonds = 4500/9 + 3000/10 = 800

Average price per bond = 7500 / 800 = 9.375 TK.

প্রশ্নঃ If Salam makes a box every 5 minutes and Kalam takes 7 minutes to make a box, what will be the ratio of the number of boxes produced by Salam to the number of boxes produced by Kalam if they work for 5 hours and 50 minutes?

বর্ণনাঃ

5 hrs 50 mins = 5 x 60 + 50 = 350 minutes

Salam makes = 350/5 = 70 boxes

Kalam makes = 350/7 = 50 boxes

Ratio = 70 : 50 = 7 : 5

প্রশ্নঃ One dozen of eggs and ten pounds of apples have the same price. If the price of a dozen of eggs rises by 10% and the price of apples goes up by 2%, how much more will it cost to buy a dozen eggs and ten pounds of apples?

বর্ণনাঃ

As same price

Let one dozen eggs=100

ten pounds of apples=100

So total amount 200

Eggs price rises 10%=100+10=110

Apples price rises 2%=100+2=102

Rises total amount 212

Just rises amount 12

So cost price will 12*100/200=6%

প্রশ্নঃ If Tk. 45,000 was invested in share market when the price per share was Tk. 90 and Tk. 30,000 was invested when the price per share was Tk. 100, what was the average price per share purchased?

বর্ণনাঃ

If each share price is 90 tk 

than share number= 45000/90=500

 If each share price is 100 tk than share number= 30000/100=300

total share= 500+300=800

So, average cost = (45000+30000)/800 = 93.75 taka  

ans: 93.75 taka 

প্রশ্নঃ In a class of 120 students. 60 percent can speak French and the rest can speak English only. If 25 percent of those in the class who can speak French can also speak English, how many of the students in the class can speak English?

বর্ণনাঃ

We notice that 120 x 0.6 = 72 students speak French

and 120 - 72 = 48 students speak only English.

Among the 72 students who speak French, 72 x 0.25 = 18 students speak English as well.

Therefore, 48 + 18 = 66 students can speak English.

ans: 66

প্রশ্নঃ A man has to go 10 km to catch a bus. He walks part of the way at 7 km/hr and runs the rest of the way at 12 km/hr. If he takes 1 hour 15 minutes to complete his journey, find how far he walked.

বর্ণনাঃ

let he walks for t hrs and runs for s hous

ATQ,

t + s = 1.25 hrs

and 

7t + 12s = 10

= >  7(1.25 -s) + 12s = 10

=> 8.75 - 7s + 12s = 10

=> 5s = 1.25

= > s = 0.25 hr

so, t= 1hr 

given tjhat, he walks 7 km in a hour

hence, he walks 7 km

প্রশ্নঃ If mx+ny=12 my, then x/y +n/m =

বর্ণনাঃ

mx + ny = 12 my

or,  (mx + ny)/my = 12

or,  mx/my + ny/my = 12

or,  x/y + n/m = 12

প্রশ্নঃ Ali bought 500 shares of company X at Tk. 600 and 2 months later bought another 250 shares of the same company at Tk. 560. At which price should he purchase additional 250 shares in order to have an average price of Tk. 580 per share?

বর্ণনাঃ

Let the purchase price of the 250 shares be X. Then the total number of shares will be (500+250+250=1000).

Total price of 1000 shares will be = 580×1000 = 580000 TK.

So,  500×600 + 250×560 + 250×X = 580000

or,  250X = 580000 - 300000 - 140000

or,  250X = 140000

or,  X = 140000/250 = 560 TK

প্রশ্নঃ In the Excel Manufacturing Company, 46 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of them are men, what percent of the non-unionized workers are women?

বর্ণনাঃ

Lets say there are total 100 employees

Then men = 46 & women = 54

Unionized Emp = 60 & non unionized emp = 40

Men Unionized = .7 * 60 = 42

Women Unionized = 18

Women non-unionized = 54-18 = 36

Percentage of Women non unionized = 36/40 * 100 = 90%

ans: 90%

প্রশ্নঃ A man buys some shirts and some ties. Shirts cost Tk. 7 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties?

বর্ণনাঃ

We can create the equation:

7S + 3T = 81

or,7S = 81 - 3T

or,7S = 3(27 - T)

or,S = 3(27 - T)/7

The greatest value of S will be obtained when T is as small as possible. The smallest value of T which produces a number divisible by 7 after substitution is 6, so when T is 6 we have:

S = 3(21)/7 = 9

So, the ratio of S to T is 9 : 6 = 3 : 2.

প্রশ্নঃ A restaurant meal costs Tk. 35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of meal then the total amount paid have been between ---

বর্ণনাঃ

at 10% tip

Tip = 10% of 35.50 = 3.55

TOTAL AMOUNT ≈ 35.50 + 3.55 ≈  39.05

at 15% tip

Tip = 15% of35.50 = 3.55 + 1.77 =5.32

TOTAL AMOUNT ≈ 35.50 + 5.32 ≈  40.82

So, the TOTAL cost will be between $39 and $41

প্রশ্নঃ Hashem wants to put up fencing around three sides of his rectangular yard and leave a side of 20 feet unfenced. If the yard has an area of 680 square feet. How many feet of fencing does he need?

বর্ণনাঃ

Since the yard is a rectangle and one side is 20, which we can call the length, then the width (w) is:

680 = 20w

or, w =34

Thus, he needs 34 + 34 + 20 = 88 feet of fencing.

ans: 88 feet

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

বর্ণনাঃ

Initial Price = 100 tk

15% increase = 115 tk

Again 15% increase on new price =115+(115∗15/100)

= 115 + 117.25

= 132.25 tk

Percentage Increase = 132.25 - 100 = 32.25

ans:  32.25%