1636 . Four litres of milk are to be poured into a 2-litre bottle and a 4-litre bottle. If each bottle is to be filled to the same fraction of its capacity, how many litres of milk should be poured into the 4-litre bottle?

A. 8/3
B. 7/3
C. 5/2
D. 2/3

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Answer: Option A

Explanation:

4/(2+4)=4/6=⅔ Litre

So, milk in 4 litre bottle=4×(⅔)=8/3

(ans).

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1637 . Four men and 6 women finish a job in 8 days. While 3 men and 7 women finish it in 10 days. In how many days will 10 wemen take to finish the work together?

A. 32
B. 36
C. 40
D. None

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Answer: Option C

Explanation:

ধরি,
১ জন পুরুষ ১ দিনে করে = x পরিমান কাজ
১ জন মহিলা ১ দিনে করে = y পরিমান কাজ
প্রথম শর্তে,
4x + 6y = 1/8........(I)
দ্বিতীয় শর্তে,
3x + 7y = 1/10.......(II)
(I) × 3 এবং (II) × 4 করে পাই,
12x + 18y = 3/8
12x + 28y = 4/10
[ - 10y = 3/8 - 4/10 = (15 - 16)/40 = - 1/40]
10y = 1/40
১০ জন মহিলা ১/৪০ অংশ করে ১ দিনে
১০ জন মহিলা ১ অংশ বা সম্পূর্ণ কাজ করে = ৪০ দিনে

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শিল্প মন্ত্রণালয়ের অধীন বিসিআইসি | সহকারী ব্যবস্থাপক (প্রশাসন) | ০৮.১২.২০১৮

A. 9,600
B. 9,300
C. 9,000
D. 8,600

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Answer: Option B

Explanation:

Let, The sum of money = 11x + 9x + 7x + 4x = 31x
Now, ATQ - 4x = 1200
Or, x = 300
So, the sum of money = 31x300 = 9,300 Taka .

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Bangladesh Bank - Assistant Director - 2001

A. 32 years
B. 36 years
C. 44 years
D. None of these

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Answer: Option D

Explanation:

Let the ages of father and son 4 years ago be 3x and x years respectively.

Then, [(3x+4) +4] + [(x +4)+4] = 64
⇔
4x=48
⇔
x=12.

So present age of father is 40 years

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1640 . Four years ago Sumon's age was half of what it will be in eight years. How old is Sumon?

A. 8
B. 12
C. 16
D. none of these

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Answer: Option C

Explanation:

Let Sumon's age be S.

Four years ago, his age was (S - 4).

After eight years, his age will be (S + 8).

Then, S - 4 = (S + 8)/2

or, 2(S - 4) = S + 8

or, 2S - 8 = S + 8

or, 2S - S = 8 + 8

or, S = 16 years.

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1641 . Francis had an average of 75 on her first four Geometry test. After taking the next test her average dropped to 72. How much did she get in fifth test?

A. 58
B. 60
C. 73.5
D. 54

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Answer: Option B

Explanation:

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1642 . Fresh grapes contain 80 percent water while dry grapes contain 10 percent water. If the weight of the dry grapes is 250 kg what is total weight when it was fresh?

A. 1000 kg
B. 1100 kg
C. 1125 kg
D. 1225 kg

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Answer: Option C

Explanation:

Quantity of pulp in fresh grapes = Quantity of pulp in dry grapes
= (100 - 10)% of 250 kg
= 90% of 250 kg
= 225 kg
Let the total weight of fresh grapes be $$x$$ kg
Then,
⇒ (100 - 80)% of $$x$$ = 225
⇒ 20% of $$x$$ = 225
⇒ $$\frac{x}{5}$$ = 225
⇒ $$x$$ = 225 × 5
⇒ $$x$$ = 1125.

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বাংলাদেশ ব্যাংক || সহকারী পরিচালক (AD) (20-10-2023)

A. 5/4
B. 4/5
C. 1
D. 3/5

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Answer: Option A

Explanation:

Hints: এখানে ১০৯ থেকে ১১৩ মোট ৫ পেজ পড়তে আরিফের সময় লাগে ১ঃ০৯ PM to 1:13 pm অর্থাৎ 4 minute.

4 মিনিটে পড়ে 5 পৃষ্ঠা

1 মিনিটে পড়ে 5/4 পৃষ্ঠা = 5/4

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1644 . From 2004 to 2005. the sales of a book decreased by 80%. If the sales in 2006 were the same as in 2004, by what percent did they increase from 2005 to 2006 ?

A. 80%
B. 100%
C. 120%
D. 400%

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Answer: Option D

Explanation:

let, 100 copies were sold in 2004

∴copies sold in 2005 = 100 - 80 = 20

copies sold in 2006 = 100

so, required increase = (100 - 20)/20 × 100 = 400% (ans)

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1645 . From 2004 to 2005 the sales of a book decreased by 80%. If the sales in 2006 were the same as in 2004, by what percent did they increase from 2005 to 2006?

A. 80%
B. 100%
C. 120%
D. 400%

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Answer: Option D

Explanation:

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1646 . From 6 boys and 4 girls, 5 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 2 girls?

A. 60
B. 30
C. 90
D. 120

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Answer: Option D

Explanation:

nCr = combination of n things taken r at a time = n!/((n - r)!*r!)

Number of ways to select 2 girls (exactly) from 4 - 4C2

6C3 - Number of ways to select remaining 3 boys from 6 to make total 3 + 2 = 5 for admission.

6C3 = 6!/(3!*3!) = 720/(6*6) = 20

4C2 = 4!/(2!*2!) = 24/4 = 6.

So, 6C3*4C2 = 20*6 = 120 ways.

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Sonali-Janata-Agrani &amp-Rupali Bank Ltd. &amp-RAKUB Officer Recruitment 28.03.2008

A. 350
B. 65
C. 1050
D. 120

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Answer: Option A

Explanation:

Ways of 3 girls to be selected from 5 girls = ⁵C3

Ways of (6 - 3 = 3) boys to be selected from 7 boys = ⁷C3

Total ways of selection = ⁵C3×⁷C3 = {(5×4×3)/(1×2×3})×{(7×6×5)/(1×2×3)} = 10×35 = 350

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1648 . From a container having pure milk 20% replaced by water and the pricess is repeated thrice. At the end of the third operation the milk is--

A. 51.2
B. 58.8
C. 40
D. 50

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Answer: Option A

Explanation:

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1649 . From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are in the committee. In how many ways can it be done?

A. 564
B. 645
C. 735
D. 756

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Answer: Option D

Explanation:

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আশুগঞ্জ পাওয়ার স্টেশন কোম্পানী লিঃ (APSCL) || সহকারী প্রকৌশলী (মেকানিক্যাল ও ইলেকট্রিক্যাল এন্ড ইলেকট্রনিক্স) (27-09-2024) || 2024

A. MC is an increasing function of production quantity .
B. MC is a decreasing function of production quantity
C. Initially MC is a decreasing function of production quantity, attains a minimum and then it is an increasing function of production quantity.
D. None of them

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Answer: Option A

Explanation:

It can be seen that the marginal cost is increasing as production quantify is increasing. So, option (a) is the correct ans.

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Bangladesh Bank - Officer - 2015

1636 . Four litres of milk are to be poured into a 2-litre bottle and a 4-litre bottle. If each bottle is to be filled to the same fraction of its capacity, how many litres of milk should be poured into the 4-litre bottle?

1637 . Four men and 6 women finish a job in 8 days. While 3 men and 7 women finish it in 10 days. In how many days will 10 wemen take to finish the work together?

1638 . Four students aged 11,9, 7 and 4 share a sum of money in the ratio of their ages . If the youngest student receives TK. 1,200 what is the sum of money ?

1639 . Four years ago, the father's age was three times the age of his son. The total of the ages of the father and the son after four years, will be 64 years. What is the father's age at present?

1640 . Four years ago Sumon's age was half of what it will be in eight years. How old is Sumon?

1641 . Francis had an average of 75 on her first four Geometry test. After taking the next test her average dropped to 72. How much did she get in fifth test?

1642 . Fresh grapes contain 80 percent water while dry grapes contain 10 percent water. If the weight of the dry grapes is 250 kg what is total weight when it was fresh?

1643 . From 1:09 pm to 1:13 pm Arif read pages 109 to 113 of a nobel. What is his rate of reading in pages per munite?

1644 . From 2004 to 2005. the sales of a book decreased by 80%. If the sales in 2006 were the same as in 2004, by what percent did they increase from 2005 to 2006 ?

1645 . From 2004 to 2005 the sales of a book decreased by 80%. If the sales in 2006 were the same as in 2004, by what percent did they increase from 2005 to 2006?

1646 . From 6 boys and 4 girls, 5 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 2 girls?

1647 . From 7 boys and 5 girls, 6 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 3 girls?

1648 . From a container having pure milk 20% replaced by water and the pricess is repeated thrice. At the end of the third operation the milk is--

1649 . From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are in the committee. In how many ways can it be done?

1650 . From the data provided it can be inferred that , for production levels in the range of 0 to 60 units:

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