Prabashi Kalyan Bank (Executive Officer)

ত্রিহায়ণ, শব্দটির বানান মূর্ধন্য ণ দিয়ে; ঠিক যেভাবে অগ্রহায়ণ।
[র-ফলার কারণে।] "শব্দের মধ্যে আগে ঋ, র বা ষ, একটু পরে ন, আর দুয়ের মাঝখানে যদি [কেবলা স্বরবর্ণ, ক-বর্গের বা প-বর্গের বর্ণ, য়, ব, হ বা অনুস্বার থাকে, তাহলেও ওই ন মূর্ধন্য ণ হয়ে যাবে।"
উদ্ধৃতিসূত্র: বাংলা একাডেমি প্রমিত বাংলা ব্যবহারিক ব্যাকরণ |
[প্রথম প্রকাশ: মাঘ ১৪২০/জানুয়ারি ২০১৪] | পৃ-৩২৮||

রাজা রামমোহন রায় ১৮৩৩ সালে গৌড়ীয় ব্যাকরণ রচনা করেন।

[উৎসঃ বাংলা ভাষা ও সাহিত্য জিজ্ঞাসা- ড. সৌমিত্র শেখর]

সমাহার (সমষ্টি) বা মিলন অর্থে সংখ্যাবাচক শব্দের সঙ্গে বিশেষ্য পদের যে সমাস হয়, তাকে দ্বিগু সমাস বলে।
দ্বিগু সমাসে সমাসনিম্পন্ন পদটি বিশেষ্য পদ হয়।
যেমন :
তিন কালের সমাহার = ত্রিকাল,
চৌরাস্তার সমাহার = চৌরাস্তা,
তিন মাথার সমাহার = তেমাথা,
শত অব্দের সমাহার-শতাব্দী,

[উৎস:বাংলা ভাষার ব্যাকরণ, নবম-দশম শ্রেণি, সংস্করণ-২০১৯]

সঠিক উত্তর নেই। 
অনা- প্রত্যয়:
√দুল্ + অনা = দুলনা > দোলনা
√খেল্ + অনা = খেলনা

[উৎস:বাংলা ভাষার ব্যাকরণ, নবম-দশম শ্রেণি, সংস্করণ-২০১৯

Here 'knot' will be appropriate instead of the word 'open'.
knot (Noun)
English Meaning: A fastening made by looping a piece of string, rope, or something similar on itself and tightening it.
Bengali meaning: দড়ি, সুতা বা ফিতার গিঁট বা গ্রন্থি: tie a knot
প্রদত্ত বাক্যটি হলো: Will you kindly open the knot?
অর্থ: আপনি কি দয়া করে গিঁটটি খুলবেন?

[Source: Oxford Dictionary]

'use' does not convey any meaning. It should be replaced by 'command'.
Command of something (Phrase)
Meaning: knowledge of a particular subject, especially the ability to speak a foreign language.
Example Sentence: She has an excellent command of Russian.

Source: Macmillan Dictionary

'To bear with ' should be used in place of 'to bear'
Bear with (Phrasal Verb)
Meaning: be patient or tolerant with someone.
Example Sentence: Bear with me a moment while I make a call.

Source: Oxford Dictionary

'Touch upon' or 'touch on' both make the correct sense in the given sentence.
touch on/upon (phrasal verb)
Meaning: to briefly talk or write about (something) : to mention (something) briefly
Example Sentence:
- The reports touched on many important points.
- She touches upon the issue in the article but never fully explains it.

Source: Merriam-Webster Dictionary

If someone is obsessed with a person or thing, they keep thinking about them and find it difficult to think about anything else.
- He was obsessed with American gangster movies. 
- Creative people are often obsessed with their own uniqueness.
অর্থ: সৃজনশীল মানুষ প্রায়ই তাদের নিজস্ব অনন্যতার সঙ্গে পুরো মনকে আচ্ছন্ন করে ফেলে।

The appropriate word in the given blank is erratic.
Rainfall in the desert is not only low but extremely erratic.
অর্থ: মরুভূমিতে বৃষ্টিপাত শুধু কম নয়, অত্যন্ত অনিয়মিত।

The most appropriate word to fill in the given blank is 'confiscated'.
Here, the word 'confiscated' means 'to take a possession away from someone when you have the right to do so, usually as a punishment and often for a limited period, after which it is returned to the owner'.
Example: His passport was confiscated by the police to prevent him from leaving the country.
Therefore, as per the points mentioned above, we find that the correct answer is Option 3.

The bengali meaning of question words:
Delay: বিলম্ব/দেরি করা; বিলম্ব/দেরি করানো; কালক্ষেপ করা
Expedite: (আনুষ্ঠানিক) অগ্রগতিতে সহায়তা করা; (কার্যাদি) ত্বরান্বিত করা।

The bengali meaning of option words:
Related: সম্পর্কিত; সম্পর্কযুক্ত
Halt: সাময়িক নিবৃত্তি; বিরতি ।

Block: বাধা বা প্রতিবন্ধক ।
Obstuct: বাধা দেওয়া; পথরোধ করা ।

Detain: আটকে/ঠেকিয়ে রাখা; বিলম্ব করানো; নিবারিত/নিরুদ্ধ করা ।
Dispatch: দ্রুত প্রেরণ ।

Drag: যা টেনে বা হিঁচড়ে নেওয়া হয়।
Procrastine: কালক্ষেপণ/দীর্ঘসূত্রতা/গড়িমসি করা।

কোন কিছু Delay করলেই তা Expedite করা যায় না,
তেমনি কোন কিছু Detain করলে তা Dispatch করা যায় না।
(কাজের ফলস্বরূপ)

Source: Bangla Academy Dictionary.

Let the distance he walked up the hill be x km.
So, the distance he walked down the hill is x km.
Now,
According to the question
x/2.5 + x/3.25 = 4 + 36/60
⇒ 10x/25 + 100x/325 = 23/5
⇒ (130x + 100x)/325 = 23/5
⇒ 230x = (23 × 325)/5
⇒ 230x = 23 × 65
x = 6.5
∴ the distance he walked up the hill is 6.5 km.

According to the problem,
Total profit is = 1000 TK,
A’s profit = 500 TK
B’s profit = 300 TK
∴ C’s profit is = (Total profit – (A + B)’ profit) = (1000 − 800) = 200

∴ Profit Ratio between A, B and C is
⇒ 500 : 300 : 200
⇒ 5 : 3 : 2
Let their capitals be 5x, 3x, and 2x respectively.

According to the problem,
A’s contribution is TK. 10000.
∴ 5x = 10000
⇒ x = 2000

∴ C’s share = 2x
                 = 2 × 2000 
                 = 4000Tk

Given that, 
The marked price of an article is Tk. 500.
Two successive discounts of 20% and 10%
discounts of 20% The selling price of that article is = 500×80/100
                                                                                   = 400
again,
10% discounts of 400 and the selling price of that article is=400×90/100
                                                                                             = 360 Tk.

Given that, 
(p/q)^n-1 = (q/p)^n-3
⇒ (p/q)^n-1 = (p/q)^-(n-3)
⇒ n-1 = -(n-3)
⇒ n-1 =-n +3 
⇒ n + n = 3 + 1
⇒ 2n = 4 
⇒ n = 4/2 
∴ n = 2

Let initially vessel have 8 litres of liquid and x litres of this liquid be replaced with water,
Then quantity of water in new mixture = 3 - 3x/8 + x
Quantity of syrup in new mixture = 5 - 5x/8
According to the question,
After replacement, the quantity water and syrup same,
(3 - 3x/8 + x) = (5 - 5x/8)
⇒ -3x/8 + x + 5x/8 = 5 - 3
⇒ (-3x + 8x + 5x)/8 = 2
⇒ 10x/8 = 2
⇒ x = 8/5
So, part of the mixture replaced, 8/5 × 1/8 ⇒ 1/5

∴ 1/5 of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup.

মনেকরি
ছাত্রসংখ্যা 4জন এবং  প্রতিযোগিতায় অংশ গ্রহণ করেছে 1 জন 
ছাত্রী সংখ্যা 8 জন এবং প্রতিযোগিতায় অংশ গ্রহণ করেছে 3 জন 
মোট ছাত্রছাত্রী = 4 + 8  
                        =12 জন 
মোট প্রতিযোগিতায় অংশ গ্রহণ করেছে= 1 + 3    
                                                            = 4

প্রতিযোগিতায় ছাত্রছাত্রীদের 4/12 অংশ গ্রহণ করেছে। 

Given that,
Red = 2
Yellow = 4
Pink = 6 

 1 - ( 2/12 ×1/11 + 4/12 ×3/11 + 6/12 × 5/11)
⇒ 1- (1/66 + 1/11 + 5/22 ) 
⇒ 1 - { (1 + 6 + 15)/66 }
⇒ 1 - 22/66
⇒ 1 -1/3 
⇒ (3-1) / 3
 ∴ 2/3

ধরি 
হল ঘরের উচ্চতা = h
দেওয়া আছে, 
         ঘরের দৈর্ঘ্য ১৫ মি.
          ঘরের প্রস্থ ১২ মি. 

প্রশ্নমতে, 
 ২ ( ১৫ × ১২ ) = ২ × ( ১৫ + ১২ ) × h 
বা, ২ × ২৭ × h = ২ ( ১৫ × ১২ )
বা, h  × ২৭ = ১৫ × ১২
বা, h = (১৫ × ১২)/২৭
      h = ২০/৩
আমরা জানি,
আয়তন= (১৫ × ১২×২০)/৩ 
             = ১২০০ ঘন মিটার

Volume of rod = πr²h = πr² × r = πr³
Radius of one spherical ball = r/2
Volume of one spherical ball = 4/3 × π (r/2)³ = πr³/6

Number of balls
= Volume of rod/Volume of one spherical ball
= πr³/(πr³/6)
= 6

Let mother's present age be x years
Therefore, person's present age = 2x/5 years
2x/5 + 8 = (x + 8)/2
or, x = 40 years

Let the original dimensions be x by y.
A₁ =xy
According to the question, new dimensions are x/2 and 3y
New area, A₂=3xy/2
A₁ - A₂ = xy/2
(A₁ - A₂) / A₁ = ( xy/2)/xy × 100% = 50% increase

100kg of fresh fruit is 68kg of water and 32kg of non water.
If you dry it you still have 32kg of non water but now it's 80% non water and 20% water.

80% of dry food = 32
100% of dry food = 32 × 100/80 = 40 kg

Time taken by one tap to fill half the tank = 3 hrs.
Part filled by one tap in 1 hour = 1/6
Part filled by four taps in 1 hour = (4×1/6) = 2/3
Remaining part = (1−1/2) = 1/2
2/3 of the tank is filled by four taps in 1 hour.
So, 1/2 of the tank is filled in = 3/2×1/2=3/4 hours
3/4 hours = 3/4 × 60 = 45 min
So, the total time taken = 3 hrs + 45 min = 3 hrs 45 min or 225 min
-------------------------------------------------
Alternative way:
A tap can fill a tank in 6 hours.
A tap can fill half of a tank in 6/2 or 3 hours.
4 tap can fill half of a tank in 3/4 hours = 45 min
Total time taken = 3 hours 45 min

Let,
Salary of A = 1x
Salary of B = 2x
Salary of C = 3x

Salary of B + C = 5x = 6000 so x = 6000/5 = 1200
Salary of A = 1200, salary of C = 3600
Salary of C more than A = 3600 – 1200 = 2400
% salary of C more than A = 2400/1200 × 100 = 200%

Let the two numbers be 3x and 7x
⇒ (3x + 6)/(7x + 6) = 5/9
⇒ 27x + 54 = 35x + 30
⇒ 8x = 24
⇒ x = 3
Two numbers are 9 and 21

28√? + 1,426 = 3/4 of 2872
⇒ 28√?  = 3/4 × 2872 - 1,426 = 728
⇒ √?  = 728/28 = 26
⇒ ? = 26² = 676

A paints in 20 days;
B paints in 30 days;
Let C paint in c days.

1/20 + 1/16 + 1/c = 1/8
 1/c = 1/8 – 1/20 – 1/16
1/c = (10 – 4 – 5)/80 = 1/80
Hence, C alone should paint the house in 80 days.

Let the distance be ‘x’ km
x/40 – x/50 = 15/60
⇒ (5x – 4x)/200 = 1/4
⇒ x = 200/4
⇒ x = 50 km
∴ Distance of the journey = 50 km

Gain in 2 years = (5000 × 25/4 × 2/100) - (5000 × 4 × 2/100) = Tk. 225
Gain in 1 year = Tk. 225/2 = Tk. 112.5

Formula:
If a leakage empties a tank in 'a' hours and an another empties the same tank in 'b' hours and if water leaks at a constant rate,
the net part filled in 1 hour = 1/a + 1/b
∴ Time taken to empty the tank = ab/(a + b) hours
-----------------------------------------------------------------------------
Solution:
For 1st leakage,
in 9 minutes, 1st leakage can empty a full tank
in 1 minute, 1st leakage can empty 1/9 part of a tank

For 2nd leakage,
in 6 minutes, 2nd leakage can empty a full tank
in 1 minute, 2nd leakage can empty 1/6 part of a tank

In 1 minute, both leakage can empty (1/9 + 1/6) or 5/18 part of a tank

5/18 part of a tank can be empty in 1 minute
Full tank can be empty in 18/5 minutes or 3.6 minutes
---------------------------------------------------------------
Alternative way:
Let the total work done to empty the tank be LCM of 9 and 6 i.e. 18 unit
Tank emptied by 1st leakage in 1 minute = 18/9 = 2 unit
Tank emptied by 2nd leakage in 1 minute = 18/6 = 3 unit
∴ To completely empty the tank, Time taken together = 18/(2 + 3) = 18/5 = 3.6 min
-------------------------------------------------
Alternative way:
1st leakage empties the tank = 9 minutes
2nd leakage empties the tank = 6 minutes
Time taken to empty the tank = (9 × 6)/(9 + 6) = 54/15 = 18/5 = 3.6 min

ধরি,
স্রোতের বেগ x mph 

স্রোতের অনুকূলে লোকটির বেগ =(10 + x) mph 
স্রোতের প্রতিকূলে লোকটির বেগ = (10 - x) mph

প্রশ্নমতে, 
           36/(10 - x) - 36 /(10 + x) = 90/60
          ⇒ (360 + 36x - 360 + 36x)/ (10 - x) (10 + x) = 90/60 
          ⇒ 72x/ (100 -x²) = 3/2 
          ⇒ 24x/(100 - x² )= 1/2
          ⇒ 48x = 100 - x²
          ⇒ x² + 48x -100 = 0 
          ⇒ x² +50x - 2x - 100=0
          ⇒ x(x +50) - 2(x +50)=0  
             ∴  (x +50) (x - 2) = 0
 এখানে,                            
          x - 2 = 0                     x +50 = 0 
           x =2                           x ≠ - 50 


স্রোতের বেগ 2 mph

ধরি 
নৌকার বেগ = x  কি.মি./ঘণ্টা 
স্রোতের বেগ = y  কি.মি./ঘণ্টা 

x + y  = ২২........... (১)
x - y  =১০ ..............(২)
(১)নং ও (২) নং যোগ করে পাই 
     ২x = ৩২
 বা, x = ৩২/২
    ∴  x = ১৬ 
(১)নং হতে (২) নং বিয়োগ করে পাই 
    ২y = ১২
বা, y = ১২/২
  ∴ y =৬ 

নির্ণেয় অনুপাত = ১৬ : ৬ 
                         = ৮ : ৩

(52.02² - 34.01²)÷17.99 ×√x =1720
(2706.0804 - 1156.6801) ÷ 17.99 ×√x = 1720
1549.4 ÷ 17.99 ×√x = 1720
86.1256253 ×√x = 1720
√x =1720÷86.1256253
√x =19.9708
(√x)² = (19.9708)²
x= 398.83465
  ≈400

The market condition when goods and services are not freely available and thus the prices are relatively high is called seller's market. A seller's market is a market condition characterized by a shortage of goods available for sale, resulting in pricing power for the seller. A seller's market is a term commonly applied to the property market when low supply meets high demand.

The lower limit of perpetual snow in mountains such as the Himalayas is termed as the snow line. The snow line is an irregular line located along the ground surface where the accumulation of snowfall equals ablation (melting and evaporation).

The significance of peace is denoted by Olive branch. The olive branch is a symbol of peace or victory allegedly deriving from the customs of ancient Greece, particularly regarding supplication to both the gods and persons in power, and is found in most cultures of the Mediterranean basin.

- GIF, or Graphic Interchange Format, is a file extension for an often animated raster graphics file and is the second most common image format used on the World Wide Web after JPEG.

CTRL + F12 helps to open dialogue box. 

F1 function key is used for opening help.
A function key is a key on a computer keyboard to perform certain actions.
The function keys are arranged on the top of the computer keyboard numbered across from F1 to F12.
The keys are frequently used in combination with other keys such as the CTRL key, the ALT key, and the SHIFT key.
The function keys provide some interesting shortcuts for common computer functions that can be useful tools in everyday computing.

F2 - To rename a selected file or folder.
F3 - To search for a file or folder.
F4 - To close the active window with the Alt key
F5 - To refresh or reload the current page.
F6 - To move the cursor to the address bar in most web browsers.
F7 - To spell-check and grammar check
F8 - To access the boot menu in Windows
F9 - Refresh a document in MS word F10 Activate the menu bar of the application
F11 - Enter and exit full screen in web browsers
F12 - Open the Save as dialog box in MS word

মাদারবোর্ডের সাথে সরাসরি সংযুক্ত যে মেমোরিতে পঠন এবং লিখন দুটি কাজই সম্পন্ন করা যায় সে মেমোরিকে RAM বলা হয়।
এটি একটি অস্থায়ী (volatile) মেমোরি।
কম্পিউটারের যতক্ষণ বিদ্যুৎপ্রবাহ চালিত থাকে ততক্ষণ RAM এ তথ্য
সমূহ সংরক্ষিত থাকে।
বিদ্যুৎ প্রবাহ বন্ধ হওয়ার সাথে সাথে RAM তার সমস্ত তথ্য মুছে ফেলে। এজন্য RAM কে কম্পিউটারের অস্থায়ী (volatile) মেমোরিও বলা হয়।

Home Page:
- The home page is the main page of a website.
- The home page is known as the initial page.
- It is also known as the start page.
- The term home page can also refer to one or more pages always shown in a web browser when the application starts up.

The Standard toolbar is located just below the menu bar.
It contains buttons representing commands such as New, Open, Save, and Print.
Standard toolbar is used to open an existing workbook.

Imaging, Graphics and Voice require large computers memory.

A hydrometer or aerometer is an instrument that measures the specific gravity (relative density) of liquids - the ratio of the density of the liquid to the  density of water.
A hygrometer instrument is used in meteorological science to measure the humidity or amount of water vapor in the air.
A tachometer is an instrument measuring the rotation speed of a shaft or disk, as in a motor or other machine.
A barometer is a scientific instrument used in meteorology to measure atmospheric pressure.

Qantas, in full Qantas Airways Limited, Australian airline, the oldest in the English-speaking world, founded in 1920 as Queensland and Northern Territory Aerial Services Ltd. (from which the name Qantas was derived).
Its first operations were taxi services and pleasure flights.
By the early 21st century, however, its scheduled air routes extended throughout Asia, Australia, the Americas, Europe, and New Zealand.
The airline’s headquarters are in Sydney.

[Source: Britannica]

The correct answer is option 1 i.e Cytology
Branch of science that studies cells is called Cytology.
All living organisms are made up of cells.
The cell was discovered in 1665.
The first cells from an organism were observed by Robert Hooke.
Different Branches of Study
Branch                      Study of
Entomology             Insects
Myology                  Muscles
Hormonology         Hormones
Mycology                Fungi
Nephrology             Kidney
Paleontology           Fossils
Pedology                 Soils
Cardiology               Heart
Dermatology           Skin
Hematology            Blood

The chemical name of Vitamin B is thiamine.
Thiamine, also known as thiamin or vitamin B1, is a vitamin found in food, and manufactured as a dietary supplement and medication.
Food sources of thiamine include whole grains, legumes, and some meats and fish.