5161 . If log 2= 0.3010 and log 3=0.4771. What is the value of log5 1024?

A. 4.31

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Answer: Option A

Explanation:

দেওয়া আছে, \log_{5} 1024 = \frac{\log 1024}{\log 5} = \frac{\log 2^{10}}{\log \frac{10}{2}} = \frac{10 \log 2}{\log 10 - \log 2} = \frac{10 \times 0.3010}{1 - 0.3010} = \frac{3.01}{0.699} = \frac{3010}{699} = 4.31

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Microcredit Regulatory Authority (সহকারী পরিচালক) 05-03-2021

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5162 . If m and n are in the domain of a function g and g(m) > g (n), which of the following must be true?

A. mn ≠ 0
B. m > n
C. m < n
D. m ≠ n

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Answer: Option D

Explanation:

প্রদত্ত Function টিতে m এবং n হলো ডোমেইন, তাই তারা পরস্পর কখনো একই হবে না বা সমান হবে না।
সঠিক উত্তর হলো m ≠ n

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বাংলাদেশ অর্থনৈতিক অঞ্চল কর্তৃপক্ষ (সহকারী ব্যবস্থাপক) 25-09-2020

A. 5
B. 9
C. 15
D. 18

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Answer: Option B

Explanation:

To find how long it would take for Michael and Emon to shovel the snow together, you can use the concept of their combined work rates.

Let M be Michael's work rate (driveways per minute) and E be Emon's work rate (driveways per minute).

Michael can shovel one driveway in 12 minutes, so his work rate is:

M = 1 driveway / 12 minutes = 1/12 driveways per minute

Emon can shovel one driveway in 36 minutes, so his work rate is:

E = 1 driveway / 36 minutes = 1/36 driveways per minute

When they work together, their combined work rate is the sum of their individual work rates:

Combined Work Rate = M + E = (1/12 + 1/36) driveways per minute

Now, find a common denominator to add the fractions:

Combined Work Rate = (3/36 + 1/36) driveways per minute = 4/36 driveways per minute

Simplify the fraction:

Combined Work Rate = 1/9 driveways per minute

Now that you know their combined work rate, you can calculate how long it would take for them to shovel one standard driveway together:

Time = 1 driveway / Combined Work Rate = 1 / (1/9) = 9 minutes

So, it would take Michael and Emon 9 minutes to shovel all the snow of a standard driveway together.

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বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

A. 40%
B. 50%
C. 55%
D. 60%

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Answer: Option A

Explanation:

নিট লাভ অনুপাত ( net profit ratio) = নিট মুনাফা / নিট বিক্রয়

= ৪৮, ০০০/১, ২০, ০০০ × ১০০%

= ৪০%

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তিতাস গ্যাস ট্রান্সমিশন এন্ড ডিষ্ট্রিবিউশন কোম্পানী লি. | সহকারী ব্যবস্থাপক (অ্যাকাউন্টস) | ২৭.০৪.২০১৮

A. 2
B. 3
C. 4
D. 5
E. 6

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Answer: Option E

Explanation:

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জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা (NSI) - সহকারী পরিচালক (23-05-2025)

A. 88
B. 123
C. 133
D. 143

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Answer: Option C

Explanation:

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বাংলাদেশ টেলিযোগাযোগ নিয়ন্ত্রণ কমিশন || সহকারী পরিচালক (19-02-2021)

A. Tk. 30
B. Tk. 90
C. Tk. 340
D. Tk. 400

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Answer: Option B

Explanation:

Given, Sales revenue is 400 Tk

Goods sold is tk 310 Tk

So, Gross profit is = ( 400 - 310) = 90 Tk

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5168 . If sin 45° = √2 A , then A = ?

A. 1
B. $\frac{1}{2}$
C. $\frac{1}{\sqrt{2}}$
D. $\frac{1}{\sqrt{3}}$

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Answer: Option B

Explanation:

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বিমান বাংলাদেশ এয়ারলাইন্স লি.।। এডমিন অ্যাসিস্ট্যান্ট (04-03-2023)

A. 10 meters
B. 12 meters
C. 15 meters
D. 16 meters
E. None

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Answer: Option B

Explanation:

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বাংলাদেশ সেতু কর্তৃপক্ষ (সহকারী সাব-ইঞ্জিনিয়ার) 18-12-2020

A. 4
B. 5
C. 8
D. 10

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Answer: Option A

Explanation:

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বাংলাদেশ পল্লী বিদ্যুতায়ন বোর্ড ।। সহকারী সচিব/সহকারী পরিচালক(প্রশাসন) (18-01-2019)

A. P + 7
B. P + 12
C. P + 14
D. P + 25
E. None

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Answer: Option C

Explanation:

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বাংলাদেশ সেতু কর্তৃপক্ষ (সহকারী সাব-ইঞ্জিনিয়ার) 18-12-2020

A. 23
B. 22
C. 11
D. 32

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Answer: Option A

Explanation:

(M + 2M + 3 + 3M - 5 + 5M + 1) / 4 = 63

or, (11M - 1) = 63 * 4

or, 11M = 252 + 1

or, 11M = 253

or, M = 253 / 11

or, M = 23

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কর্ণফুলী গ্যাস ডিস্ট্রিবিউশন কোম্পানী লিমিটেড || সহকারী ব্যবস্থাপক (সাধারণ) (04-12-2021) || 2021

A. 7 cm
B. 9 cm
C. 10 cm
D. 14 cm

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Answer: Option D

Explanation:

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First Security Islami Bank Ltd | Probationary Officer | 19-02-2021

A. 12
B. 16
C. 20
D. 25
E. 50

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Answer: Option B

Explanation:

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জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা (NSI) - সহকারী পরিচালক (23-05-2025)

A. 3%
B. 7%
C. 10%
D. 36%

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Answer: Option B

Explanation:

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বাংলাদেশ অর্থনৈতিক অঞ্চল কর্তৃপক্ষ (সহকারী ব্যবস্থাপক) 25-09-2020

5161 . If log 2= 0.3010 and log 3=0.4771. What is the value of log5 1024?

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5162 . If m and n are in the domain of a function g and g(m) > g (n), which of the following must be true?

5163 . If Michael can shovel all the snow of a standard driveway in 12 minutes, and Emon can shovel all the snow of a standard driveway in 36 minutes, then working together, how many minutes would it take for them both to shovel all the snow of a standard driveway?

5164 . If Net Sales is Tk. 1,20,000. Net Profit is Tk. 48,000 and Average Asset is Tk. 150,000 then which of the following is the Net Profit Margin

5165 . If p and q are positive integers and the difference between pq and ap is three times the sum of p and q then how many pairs of p and q are possible?

5166 . If readymade shirts need alterations 2 out of 3 in sleeves, 3 out of 4 in collar and 4 out of 5 in the body, how many alterations will be required for 60 shirts?

5167 . If Sales Revenue is TK. 400, Cost of goods sold is TK. 310 and operating expense is TK. 60 then the Gross Profit is?

5169 . If the area of a right triangle is 6 square meters and the hypotenuse is 5 meters, what is the perimeter of the triangle?

5170 . If the average of 5 consecutive integers is 19 then what is the difference between the least and the greatest of the 5 integers?

5171 . If the average of 7 consecutive positive odd integers is P. Then what is the average of next seven consecutive off integers in terms of P?

5172 . If the average of the four numbers M, 2M+3, 3M-5 and 5M+1 is 63, what is the value of M?

5173 . If the difference between the circumference and diameter of a circle is 60 cm, then the radious of the circle is .

5174 . If the distribution of movie durations is symmetric around the mean of 1.5 hours following a bell curve and if the standard deviation is 20 minutes, approximately what percentage of all movies are longer than 110 minutes?

5175 . If the height of a right square pyramid is increased by 12%, by what percent must the side of the base be increased, so that the volume of the pyramid is increased by 28%?

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