Union Bank Ltd

প্রশ্নঃ Six years ago, Rahim was P times as old as Kalam was. If Rahim is now 17 years old, how old is Kalam now in terms of P?

বর্ণনাঃ

Let, kalams present age be x

then,   17 - 6 = P(x - 6)

11 = P(x-6)

11/p = x -6

x = 11/p + 6

প্রশ্নঃ What percentage of numbers from 1 to 80 has 0 or 5 in the unit's digit?

বর্ণনাঃ

There are numbers from 1 to 80 those  have 0 or 5 in the units  digit out of 80 numbers.

So, the percentage = 16/80 ×100% = 20%

প্রশ্নঃ The length, width, and depth of a rectangular box are 6 feet, 5 feet, and 7 feet, respectively, A pipe supplies water at a rate of 6 cubic feet per minute. How much time, in minutes, would it take for the pipe to fill a conical box whose volume is three times the volume of the rectangular box?

বর্ণনাঃ

Volume of the box = 6×5×7

So, there time the volume = 3×6×5×7

6 cubic feet filled  in 1 minutes

So, 3×6×5×7 in 1 minutes = (6×5×7×3)/6 = 105 minutes

প্রশ্নঃ A rectangular field is 3.2 yards long. A fence marking the boundary is 11.2 yards in length. What is the area of the field in square yards?

বর্ণনাঃ

Let, length = a = 3.2 yards and width = b

Now, 2 (a+b) = 11.2

a + b = 5.6

b = 5.6 - a

b = 5.6 - 3.2

b = 2.4

ab = 3.2×2.4 = 7.68

প্রশ্নঃ If w is 10 percent less than x, and y is 30 percent less than z, then wy is what percent less than xz?

বর্ণনাঃ

w is 10% less than x i.e 90% of x =. 90x

similarly  y =. 70z

wy =. 90x ×. 70z =. 63xz

( 100 - 63)  = 37% less

প্রশ্নঃ Akash bought two varieties of rice, costing Tk. 50/kg each, and Tk. 60/kg each, and mixed them in some ratio. Then he sold the mixture at Tk. 70/kg. making a profit of 20%. What was the ratio of the mixture?

বর্ণনাঃ

Let, he bought  x kg at 50/kg rate

y kg at 60/kg rate

So, the cost price = 50x + 60y

and sell price  = 70 ( x+y)

Now, the profit  was 20%

if cost price  is 100 selling is 120 tk

if cost price  (50x + 60y) selling is 120( 50x + 60y)/100 

120(50x+60y)/100 = 70(x+y)

60x + 72y = 70x + 70y

2y = 10x

5x = y

x/y = 1/5

x : y = 1 : 5

প্রশ্নঃ A company generated revenue of Tk. 125,000 in 2012 which was 12.5% of its gross revenue. In 2013, the gross revenue increased by Tk. 250,000. What is the percentage increase in the revenue in 2013?

বর্ণনাঃ

12% of gross rev = 125000

.125 × gross rev. = 125000

gross rev = 125000/.125 = 1000000

In 2013, gross rev = 1000000 + 250000 = 1250000

12.5% of 1250000 = 156250

% increase in rev. = ( 156250 - 1250000)/125000 ×100% = 25% 

প্রশ্নঃ In a class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?

বর্ণনাঃ

Eng. male = 120×.25 = 30

Eng.female = 100×.20 = 20

Total eng. student  = 30 + 20 = 50

Eng.male passed = 30×.20 = 6

Eng female  passed = 20×.25 = 5

So, percentage passed = (6+5)/50×100% = 22%

প্রশ্নঃ P starts jogging from point X to point Y. 30 minutes later his friend R who jogs 1 km/hour slower than twice P's rate starts from the same point and follows the same path. If R overtakes P in 2 hours, how many kilometres will R have covered?

বর্ণনাঃ

Let, s Ps rate = v per hour

R, s  rate = ( 2v - 1)

P walks total = ( 2 + 1/2) hour

R walks total = 2 hour

P, s distance = R's distance

v ×( 2 + 1/2) = 2 ( 2v - 1) = 4v - 2

 v ×5/2  = 4v - 2

3v/2 = 2

v = 4/3 and R's distance = 4 ×4/3 - 3 = 3.33

প্রশ্নঃ A total of Tk. 1200 is deposited in two savings accounts for one year, one portion at 5% simple interest, and the rest at 7% simple interest. If Tk. 72 was earned in interest, how much was deposited at 5%?

বর্ণনাঃ

Let, Tk was deposited at 5% 

so, (1200 - x) was at 7%

Total interest = 72 =. 5 × x + ( 1200 - x)  ×. 07 

=. 05x + 84 -. 07x

x (. 05 -. 07)  = 72 - 84

x × ( -.02) = - 12

x = 12/.02 = 600

প্রশ্নঃ The combined salary of X , Y and Z is Tk. 90,000. X earns twice of what z earns, and Y earns 1.5 times of what is the lowest salary of the three?

বর্ণনাঃ

Lets amount = z tk

2z + 1.5z +z = 90000

4.5z = 90000

z = 20000

প্রশ্নঃ A worker was hired for 7 days. Each day, he was paid Tk. 10 more than what he was paid for the previous day of work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?

বর্ণনাঃ

Let, the first day pay be x

1st day = x

2nd day = x + 20

3rd day = x + 30

4th day = x + 30

Total = x + x+10+x+20+x+30 = 4x + 60

5th day = x+40

6th day = x + 50

7th day = x + 60

Total = x+40+x+50+x+60 = 3x + 150

4x + 60 = 3x + 150

x = 90

প্রশ্নঃ M is a girl and has the same number of brothers as sisters. N is a boy and has twice as many sisters as brothers. M and N are the children of Q. How many children does Q have?

বর্ণনাঃ

Q have three children,   M, N and another girl.

প্রশ্নঃ Forty tiles of dimensions 1 foot * 2 foot each are required to completely cover a floor. How many tiles of dimensions 2 foot * 4 foot each would be required to completely cover the same floor?

বর্ণনাঃ

Number  of tiles = ( 40×1×2)/(2×4) = 10

প্রশ্নঃ A survey of n people in the town A found that 50% of them prefer Brand X. Another survey of 100 people in the town B found that 60% prefer Brand X. In total, 55% of all the people surveyed together prefer Brand X. What is the total number of people surveyed?

বর্ণনাঃ

Total = n + 100

Now, total × 55% = n × 50% + 100× 60%

( n + 100) ×.55 =. 50n + 60

.55n + 55 =.50n + 60

.05n = 5

n = 5/.05 = 100

Total = n + 100 = 100 + 100 = 200

প্রশ্নঃ The remainder when the positive integer m is divided by 7 is x. The remainder is (x + 7) when m is divided by 14. Which one of the following could be the value of m?

বর্ণনাঃ

7 ÷ 45 = ভাগফল =6,   ভাগশেষ = 3 

14 ÷45 = ভাগফল =3,   ভাগশেষ = 3

7 ÷ 53 = ভাগফল = 7,   ভাগশেষ = 4

14÷53 = ভাগফল = 3, ভাগশেষ = 11

 Now,   7 + 4 = 11 

So, correct answer 53

প্রশ্নঃ Fill in the gap : The hypocrite ---feeling which s/he does not ---- but which s/he feels s/he should display.

বর্ণনাঃ

Hypocrite is a person who pretends (ভান করে) to have virtues, morals, beliefs, that he or she does not actually have.

প্রশ্নঃ Fill in the gap : Small investors who are ---of the sponsors and directors' intents, consequently---their hard-earned money in the stock market.

বর্ণনাঃ

Oblivious (পুরোপুরি অজ্ঞাত), investors lose (হারায়) their money.

প্রশ্নঃ Fill in the gap : Early sailing ships, --in uncharted seas, at times faced many ----in reaching their destination.

বর্ণনাঃ

Ships are navigated (চালিত), And they faced hazards (বিপত্তি, ঝুঁকি) right use of the verb here is ‘navigating’.

প্রশ্নঃ Fill in the gap : The merger will eliminate ---and provide more ----cross training to staff.

বর্ণনাঃ

Merger (সংযোগ সাধন) of the two divisions or companies is done to eliminate loss and provide more aggressive(আক্রমণাত্মক, এখানে আরও কার্যকরী বোঝায়) cross training.

প্রশ্নঃ Fill in the gap : Given the existence of so many -----in the field, it was unrealistic of Moin to expect any ---of opinion.

বর্ণনাঃ

If there are a lot of factions (group with purpose,  দলাদলি) in a field (ক্ষেত্র), then there would not be any uniformity(অভিন্ন, সামঞ্জস্য) of opinion (মতামত).

প্রশ্নঃ For each of these sentences, identify which quotation section is incorrect. He was 'much' more 'wiser' 'after' 'that' unfortunate incident.

বর্ণনাঃ

much more wise.

প্রশ্নঃ For each of these sentences, identify which quotation section is incorrect.'He is' 'quite' capable 'of doing' the work 'by himself'.

বর্ণনাঃ

No error. Some may think “doing the work himself” is correct but by himself is not “incorrect”.

প্রশ্নঃ For each of these sentences, identify which quotation section is incorrect. Cotton fiber, 'alike' 'other' vegetable fibers, 'is composed' 'mostly' of cellulose.

বর্ণনাঃ

‘unlike’ instead of ‘alike’.

প্রশ্নঃ For each of these sentences, identify which quotation section is incorrect. 'At the eyes' 'of the' law, 'robbery' is a greater offence 'than' theft.

বর্ণনাঃ

‘In the eyes’ instead of ‘At the eyes’.