উত্তর
ব্যাখ্যা
A : B : C
Capital → 45000:80000:120000
Time(year) → 2 3/2 1
Profit → 90 : 120 : 120
3 : 4 : 4
∴ Required ratio of profit = 3 : 4 : 4
ব্যাংক নিয়োগ প্রস্তুতি ⎯ লং কোর্স · তারিখ অনির্ধারিত · ৪২ প্রশ্ন
A : B : C
Capital → 45000:80000:120000
Time(year) → 2 3/2 1
Profit → 90 : 120 : 120
3 : 4 : 4
∴ Required ratio of profit = 3 : 4 : 4
Let C subscribes the business = Tk. x
A : B : C
Capital → (x + 12000) : (x + 5000) : x
Note: Profit would be divide in the ratio of their capitals
According to the question,
⇒(x+12000)+(x+5000)+x = 47000
⇒ 3x+17000= 47000
⇒ 3x = 30000
⇒ x = 10000
A : B :C
Capital→22000:15000:10000
Profit→ 22 : 15 : 10
(22+15+10) units = 4700
1 unit=4700/47=100
Share of C = 10 units = 10×100 = Tk.1000
Let the number of boys and girls be 4x and 5x respectively.
Then,
4x/(5x−100)= 6/7
⇒28x = 30x−600
⇒2x=600
⇒x=300
∴Number of boys=4×300=1200
A : B
Income 9 : 7
Expense 4 : 3
Income - Savings + Expenditure
∴(9x−200)/(7x−200) = 4/3
⇒27x−600 = 28x−800
⇒x=200
Sum of weekly income
= 9x+7x = 16x
= 16×200 = Tk.3200
Quantity of milk and water in the 36 liter mixture
27 liter milk and 9 liter water
Now, 15 liters milk is added then milk becomes 42 liters
Now, ratio = 42 : 9 = 14 : 3
Lethargic : affected by lethargy; sluggish and apathetic.
Merry : cheerful and lively.
Soothing : having a gently calming effect.
Impressive : evoking admiration through size, quality, or skill; grand, imposing, or awesome.
Soporific : tending to induce drowsiness or sleep.
Synonym of Soporific is Soothing
Submit : accept or yield to a superior force or to the authority or will of another person.
Oppress : keep (someone) in subjection and hardship, especially by the unjust exercise of authority.
Subdue : overcome, quieten, or bring under control (a feeling or person).
Surrender : stop resisting to an enemy or opponent and submit to their authority.
Subside : become less intense, violent, or severe.
Synonym of Subside is Subdue
Tiresome : causing one to feel bored or annoyed.
Painful : (of a part of the body) affected with pain.
Troublesome : causing difficulty or annoyance.
Lengthy : (especially in reference to time) of considerable or unusual length, especially so as to be tedious.
Tedious : too long, slow, or dull; tiresome or monotonous.
Synonym of Tedious is Tiresome
picture : a painting or drawing.
drawing : a picture or diagram made with a pencil, pen, or crayon rather than paint.
vivid : producing powerful feelings or strong, clear images in the mind.
broad : having a distance larger than usual from side to side; wide.
graphic : giving clear and vividly explicit details.
Synonym of graphic is vivid
Tricky : (of a task, problem, etc.) requiring care and skill because difficult or awkward.
Harmful : causing or likely to cause harm.
Difficult : needing much effort or skill to accomplish, deal with, or understand.
Dangerous : able or likely to cause harm or injury.
Hazardous : risky; dangerous.
Synonym of hazardous is dangerous
Garrulous is one who is excessively talkative, especially on trivial matters.
Hence talks a lot is the correct answer.
Influence : the capacity to have an effect on the character, development, or behaviour of someone or something, or the effect itself.
Quality : the standard of something as measured against other things of a similar kind; the degree of excellence of something.
Name : a reputation, especially a good one.
Wealth : an abundance of valuable possessions or money.
Prestige : widespread respect and admiration felt for someone or something on the basis of a perception of their achievements or quality.
Synonym of Prestige is Name
Collapse : fail suddenly and completely.
Decline : (typically of something regarded as good) become smaller, fewer, or less.
Defeat : win a victory over (someone) in a battle or other contest
Disgrace : loss of reputation or respect as the result of a dishonourable action.
Debacle : a sudden and ignominious failure.
Synonym of Debacle is Collapse
Transparent : (of a material or article) allowing light to pass through so that objects behind can be distinctly seen.
Fleeting : lasting for a very short time.
Feeble : lacking physical strength, especially as a result of age or illness.
Fanciful : over-imaginative and unrealistic.
Transient : lasting for a very short time.
Synonym of Transient is Fleeting
Failure : lack of success.
Helplessness : inability to defend oneself or to act effectively.
Misfortune : bad luck.
Crisis : a time of intense difficulty or danger.
Adversity : ill luck; bad luck.
Synonym of Adversity is Misfortune
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Required percentage = (14/70)x 100% = 20%
Let the number be x
Then, 64% of x = 2592
⇒ 64 x 100 = 2592
⇒ x = (2592×10064)
⇒ x = 4050
∴ 88% of 4050 = (88/100 × 4050) = 3564
Let the original price be Tk. 100
New final price :
= 120% of (75% of Tk. 100)
= Tk. (120/100 × 75/100 ×100)
= Tk. 90
∴ Decrease = 10%
Let the total capital = 1200
According to the question,
one-fourth of 1200 = 300, two third of 1200 = 800, remain 100
Interest on 300 = 3% of 300 = 9
Interest on 800 = 5% of 800 = 40
Interest on 100 = 11% of 100 = 11
Total interest = (9 + 40 + 11) = 60
Required percentage :
= 60/1200 × 100
= 5%
Currently the mixture is in ratio of A/B: 7:5
=> This means fraction of A in the solution: 7/12
=> Fraction of B in the solvent: 5/12
=>New concentration of A= 7-(7/12)9
=>New concentration of B= 5-(5/12)9+x
=> (7-(7/12)9)/(5-(5/12)9+x) = 7/9
=>x=21
Let the weight of full bottle be 6kg.
Therefore, weight of empty bottle is 1kg and that of water is 5kg.
If x% of water is removed, the weight of the bottle becomes 2kg.
Therefore, the amount of water removed is 4kg.
% of water removed = 4/5 × 100 = 80%
So amount of acid = 2/ 2+1 × 90 = 60L
Amount of water = 90 - 60 = 30L
To make acid to water ratio = 1:2, we simply need
To make water double of acid.
By direct observation, we can say that we should have 60L × 2 = 120L make the required ratio
We have 30L, we need (120-30) = 90L more water
Let 3rd type sugar rate be Tk. S
Quantity ratio = 2:1:3
This means if we take 2kg of Type 1 and 1 kg of Type 2, then we must take 3kg of Type 3.
Also, the mix will have 2kg+1kg+3kg 6 kg quantity.
(145 × 2) + (165 × 1) + (3 × S)= 6 × 180
S = Tk. 208.33 per kg = 3rd type price per kg
Since both cans are similar, let their capacity be 100 liters.
Can 1 has 100 liters water
And Can 2 has 50 liters wine and 50 liters of water
When mixed in steel vessel we get, 100+50 ISO liters water and SO liters wine
So water : wine = 3:1
Comply : act in accordance with a wish or command.
Refuse : indicate or show that one is not willing to do something.
Agree : have the same opinion about something; concur.
Disagree : have or express a different opinion.
Deny : state that one refuses to admit the truth or existence of.
Antonym of Comply is Refuse
Deviate : depart from an established course.
Follow : go or come after (a person or thing proceeding ahead); move or travel behind.
Locate : discover the exact place or position of.
Break : separate into pieces as a result of a blow, shock, or strain.
Concentrate : focus all one's attention on a particular object or activity.
Antonym of Deviate is Follow
Liability : the state of being legally responsible for something.
Assumption : a thing that is accepted as true or as certain to happen, without proof.
Exemption : the action of freeing or state of being free from an obligation or liability imposed on others.
Consumption : the action of using up a resource.
Presumption : an idea that is taken to be true on the basis of probability.
Antonym of Liability is Exemption
Serene : calm, peaceful, and untroubled; tranquil.
Nervous : easily agitated or alarmed.
Jocular : fond of or characterized by joking; humorous or playful.
Earnest : resulting from or showing sincere and intense conviction.
Agitated : feeling or appearing troubled or nervous.
Antonym of Serene is Agitated
Ambiguity : the quality of being open to more than one interpretation; inexactness.
Rigidity : inability to be to bent or be forced out of shape.
Clarity : the quality of being coherent and intelligible.
Certainty : firm conviction that something is the case.
Rationality : the quality of being based on or in accordance with reason or logic.
Antonym of Ambiguity is Clarity
Justify : show or prove to be right or reasonable.
Accuse : charge (someone) with an offence or crime.
Infuriate : make (someone) extremely angry and impatient.
Absolve : declare (someone) free from guilt, obligation, or punishment.
Vindicate : clear (someone) of blame or suspicion.
Antonym of Justify is Accuse
Culprit : a person who is responsible for a crime or other misdeed.
Jury : a body of people (typically twelve in number) sworn to give a verdict in a legal case on the basis of evidence submitted to them in court.
Witness : a person who sees an event, typically a crime or accident, take place.
Accused : a person or group of people who are charged with or on trial for a crime.
Victim : a person harmed, injured, or killed as a result of a crime, accident, or other event or action.
Antonym of Culprit is Victim
Industrious : diligent and hard-working.
Hard-working : (of a person) tending to work with energy and commitment; diligent.
Indifferent : having no particular interest or sympathy; unconcerned.
Lazy : unwilling to work or use energy.
Indisposed : slightly unwell.
Antonym of Industrious is Lazy
Obligatory : required by a legal, moral, or other rule; compulsory.
Optional : available to be chosen but not obligatory.
Superfluous : unnecessary, especially through being more than enough.
Necessary : needed to be done, achieved, or present; essential.
Advisable : (of a course of action) to be recommended; sensible.
Antonym of Obligatory is Optional
Urbane : (of a person, especially a man) courteous and refined in manner.
Rude : offensively impolite or bad-mannered.
Rustic : lacking the sophistication of the city; backward and provincial.
Violent : using or involving physical force intended to hurt, damage, or kill someone or something.
Indifferent : having no particular interest or sympathy; unconcerned.
Antonym of Urbane is Rustic
UNO: United Nations Organization
ILO: International Labor Organization
WHO: World Health Organization
ASEAN: Association of Southeast Asian Nations
The 21st G7 summit was held from June 15 to June 17, 1995 in Halifax, Nova Scotia. The venue for this summit meeting was Summit Place in Halifax. It was labelled by Prime Minister Jean Chretien as a "Chevrolet Summit", using a utilitarian automobile as a metaphor for the summit being less expensive than previous summits in Versailles and Venice.
Operation Searchlight The ruthless and brutal armed operation undertaken by the Pakistan army on 25 March 1971 in order to curb the movement of the freedom loving Bangalis against the autocratic rule of the Pakistani rulers. It was termed as 'Operation Searchlight' by the military authority.