511 . পিতা ও পুত্রের বয়সের সমষ্টি ৬০ বছর এবং তাদের বয়সের অনুপাত ৭ : ২ । ৯ বছর পূর্বে তাদের বয়সের অনুপাত কত ছিল?

A. ১২৩ : ২৬
B. ১৩ : ৩
C. ১৫ : ২৪
D. ১১৩ : ১৩

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Answer: Option D

Explanation:

জীবন বীমা কর্পোরেশন (অফিস সহকারী কাম কম্পিউটার মুদ্রাক্ষরিক) 03-09-2021

প্রিমিয়াম প্ল্যান: ১ মাস

99 ৳

৩০ দিনের জন্য সকল লাইভ এবং আর্কাইভ মডেল টেস্ট, প্রশ্ন ব্যাংক ও লেকচার শিট সহ অ্যাপ এর প্রিমিয়াম সব এক্সেস পাবেন।

সাবস্ক্রিপশন লিংক

512 . The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older than him. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

A. 23
B. 24
C. 25
D. None

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Answer: Option A

Explanation:

মনেকরি,
টিমের সদস্যদের বয়সের গড় x বছর
.: অধিনায়ক ও উইকেট রক্ষক বাদে অন্য 9
জনের গড় = (x - 1) বছর
দেওয়া আছে,
অধিনায়কের বয়স = 26 বছর
.:. উইকেট রক্ষকের বয়স = 26 + 3 = 29 বছর
প্রশ্নমতে,
9 (x - 1) + 26 + 29 = 11x ⇒ 9 x - 9 + 26 + 29 = 11x
⇒ x = 23

তিতাস গ্যাস ট্রান্সমিশন অ্যান্ড ডিস্ট্রিবিউসন কো. লি.-সহকারী ব্যবস্থাপক-08-10-2021

A. 120
B. 132
C. 145
D. 200

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Answer: Option A

Explanation:

A. 10
B. 12
C. 14
D. 16

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Answer: Option D

Explanation:

A. 1440
B. 1800
C. 3600
D. None

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Answer: Option B

Explanation:

A. 1950
B. 1560
C. 1840
D. 1680

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Answer: Option D

Explanation:

মনেকরি,
নির্ধারিত সর্বনিম্ন চার্জের পরিমাণ = x টাকা
এবং প্রতি ইউনিট বিদ্যুতের দাম = y টাকা
প্রশ্নমতে,
540y + x = 1800.......... (i)
620y + x = 2040.......... (ii)
(i) - (ii)⇒
- 80y = - 240
⇒ y = 3

.: (i) ⇒
540 x3 + x = 1800
⇒1620 + x = 1800
⇒ x = 1800 - 1620
⇒ x = 180
.: 500 ইউনিটের জন্য মোট খরচ
= 180 + (500 × 3)
= 180 + 1500 = 1680 টাকা

A. 30
B. 70
C. 100
D. 250

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Answer: Option B

Explanation:

\cos t = 100 p r o f i t = 320 % o f 100 = 320 s e l l i n g p r i c e = 100 + 320 = 420 N e w \cos t = 100 + (25 % o f 100) = 100 + 25 = 125 N e w p r o f i t = 420 - 125 = 295 N e w p r o f i t p e r c e n t e g = (\frac{295}{420} \times 100 %) = 70.23 % = 70 %

A. 35
B. 40
C. 50
D. None

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Answer: Option B

Explanation:

Let's denote the present ages of the husband, wife, and child as H, W, and C, respectively.

According to the given information:

Four years ago, the average age of the husband, wife, and child was 27 years. So, (H - 4 + W - 4 + C - 4) / 3 = 27.

Five years ago, the average age of the wife and child was 20 years. So, (W - 5 + C - 5) / 2 = 20.

We can simplify these equations:

1. (H + W + C - 12) / 3 = 27.

2. (W + C - 10) / 2 = 20.

Now, let's solve this system of equations:

From equation 2, we can express W + C as 2 * 20 + 10 = 50.

Substitute this value into equation 1:

(H + 50 - 12) / 3 = 27.

H + 38 = 81.

H = 81 - 38.

H = 43.

So, the present age of the husband is 43 years.

A. 2
B. 2.5
C. 3
D. None

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Answer: Option C

Explanation:

মনেকরি,
60 মাইল বেগে x ঘণ্টা যায়
.: 80 মাইল বেগে (5 - x) ঘণ্টা যায়
প্রশ্নমতে,
60x + 80(5 - x) = 340
⇒ 60x + 400 - 80x = 340
⇒ - 20x = - 60
⇒x = 3

A. 23
B. 24
C. 25
D. 26

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Answer: Option B

Explanation:

মনে করি বেশি পরিমাণের ফলে এর মূল্য x টাকা দেওয়া আছে, কম পরিমানঃ বেশি পরিমান=2:3 অনুপাতদ্বয়ের যোগফল=2+3=5 তাহলে, 5 কেজি এর ক্রয়মূল্য=14×2+x×3=28+3x এবং 5 কেজি এর বিক্রয়মুল্য=22×5=110 ∴ লাভ=110- (28+3 x) = 110 - 28 - 3 x = 82 - 3 x প্রশ্নমতে, \frac{82 - 3 x}{28 + 3 x} ×100%=10% [10 % লাভ] \Rightarrow \frac{82 - 3 x}{28 + 3 x} = \frac{10}{100} \Rightarrow \frac{82 - 3 x}{28 + 3 x} = \frac{1}{10} \Rightarrow 820 - 30 x = 28 + 3 x \Rightarrow - 33 x = - 792 x = 24

A. 10
B. 20
C. 40
D. 73

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Answer: Option C

Explanation:

নম্বর বেশি=83-63=20 প্রশ্নমতে, 0.5 অংশ বৃদ্ধি =20 1 অংশ বৃদ্ধি = \frac{20}{0.5} =40 ছাত্র= ছাত্রীর সংখ্যা=40

A. 10%
B. 33.3%
C. 40%
D. 42.5%

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Answer: Option B

Explanation:

Let x g be the weight of solution X in 100 g of the mixture.
Then, the weight of solution Y in 100 g of the mixture = (100 - x) g

Mass of salt in the mixture:
x (40%) + (100 - x) (25%) = 100 (30%)
40x + 2500 - 25x = 3000
15x = 500
x = 33 1/3

Hence, there are (33 1/3)% of solution X in the mixture.

A. 2% loss
B. 2 % gain
C. 4% loss
D. 4% gain

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Answer: Option A

Explanation:

দেওয়া আছে, ১ম টির ক্রয়মূল্য ঃ ২য় টির ক্রয়মূল্য=৭ঃ৩ মনে করি, ১ম টির ক্রয়মুল্য ৭০ টাকা এবং ২য় টির ক্রয়মূল্য ৩০ টাকা ∴ মোট ক্রয়মূল্য=৭০+৩০=১০০ টাকা এখন, ১ম টির বিক্রয়মুল্য= \frac{৮ ০}{১ ০ ০} ×৭০=৫৬ টাকা ২য় টির বিক্রয়মূলুল্য= \frac{১৪০}{১ ০ ০} ×৩০=৪২ টাকা ∴ মোট বিক্রয়মুল্য=৫৬+৪২=৯৮ টাকা ∴ ক্ষতি=১০০-৯৮=২ টাকা

A. 150
B. 160
C. 175
D. 0180

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Answer: Option D

Explanation:

মনে করি আসাদের ছিল=10x টাকা 10 টি কমলা কিনলে প্রতিটি কমলার দাম= \frac{10 x}{10} =x টাকা প্রশ্নমতে, \frac{10 x}{x - 3} =12 \Rightarrow 10 x = 12 x - 36 \Rightarrow - 2 x = - 36 x = 18 ∴ আসাদের ছিল=10×18=180 টাকা

A. 8:5
B. 9:7
C. 9:5
D. 8:7

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Answer: Option C

Explanation:

খরগোশের ৩ লাফ= কুকুরের ১ লাফ " ১ " = " ১ \times \frac{১}{৩} " " ৫ " = " \frac{৫}{৩} " তাহলে, খরগোশের গতিবেগঃকুকুরের গতিবেগ =৩ঃ \frac{৫}{৩} =৯ঃ৫

511 . পিতা ও পুত্রের বয়সের সমষ্টি ৬০ বছর এবং তাদের বয়সের অনুপাত ৭ : ২ । ৯ বছর পূর্বে তাদের বয়সের অনুপাত কত ছিল?

512 . The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older than him. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

513 . X.Y and Z share Tk 1800 in such a way that X has 2.5 times as much as Y, and Y has has 4 times as much as Z. How much money (in Taka) does Z receive?

514 . A man travelled a distance of 61 kn in 9 jours. He travelled party on food at 4 kn/hr and party on bicycle at 9 km/hr. What is the distance (in km) travelled on foot?

515 . In a market suvey 20% respondents opted for product A whereas 60% opted for product B. the remaining individuals were not certain. If the difference in number between those who opted for product B and those who were uncertain was 720 . How many individuals were covered in the survey?

517 . In a certain store, the profit is 320% of the cost, If the cost increases by 25% but the selling price remains constant approximately what percentage of the selling prices is the profit?

518 . The average age of husband wife and their child 4 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

519 . Jamal covered a distance of 340 miles between ciry A and B taking a total of 5 hours. If part of the distance was covered at 60 miles per hours speed and the balance at 80 miles per hour speed, how many hours didhe travel at 60 miles per hour?

520 . By mixing two qualities of pulses in the ration 2:3 and selling the mixture at the rate of Tk. 22 per kilogram, a shopkeepers makes a profit of 10%. If the cost of the smaller quantity be TK. 14 per kg the cost in Tk per kg of the larger quantity is:

521 . A student's marks were wrongly entered as 83 instead of 63. Due to the error the average marks for the class got increased by 0.5. Find the number of students in the class.

522 . Solution X contains 40% salt and 60% water by weights, Solution Y contains 25% salt and 75% water. If a mixture of X and Y contains 30% salt. What percent of the weight of this mixture is solution X?

523 . The ratio of the cost of two articles is 7:3 . The first one was sold at a loss of 20% and the second one was sold at a gain of 40% What is the overall percentage of gain/loss?

524 . Asad went to the market to buy 12 oranges. But he found that he had the money to buy only 10 oranges. He calculated that if he price per piece of orange was tk. 3 less. he could have bought 12 oranges. How mney did Asad have?

525 . A dog takes 3 leas for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is:

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