8 হয়, তবে y = a - 3b + 16c এর মান কত?

A. 16/7
B. 9/7
C. 7/16
D. 1

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Answer: Option B

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5147 . if A B C D and E are points in a plane such that the line CD bisects angle ACb and line CB bisects right angle ACE ,then DCE=?

A. 45 deg
B. 22.5 deg
C. 65.5 deg
D. 85 deg

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Answer: Option C

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BCSIC নিয়োগ পরীক্ষা - ২০১৮ পদ: এক্সটেনশন অফিসার তারিখ: ০৯-১১-২০১৮

A. 4.2 km/hr
B. 9km/hr
C. 13km/hr
D. 21km/hr

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Answer: Option C

Explanation:

Let, the speed of the boat in still water is x km/hr

the speed of stream in 3 km/hr

So, Upstrem speed of boat is ( x - 3) km/hr

According to question,

Upstrem speed of boat is = 7/42 km/mint

= (7×60)/42 km/hours = 10km/hours

So, x - 3 = 10

x = 10 + 3 = 13 km/hr

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পল্লী কর্ম সহায়ক ফাউন্ডেশনের অ্যাসিসট্যান্ট ম্যানেজার-০৭.০৩.২০১৪

A. If A is a multiple of 5, then a is a multiple of 10.
B. If A is not a multiple of 5, then a is not a multiple of 10.
C. A necessary condition for A to be a multiple of 10 is that A is a multiple of 5.
D. A is multiple of 10 implies that a is a multiple of 5.

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Answer: Option A

Explanation:

অপশন a) কে ব্যাখ্যা করলে পাইঃ A যদি 5 এর গুণিতক হয়, অর্থাৎ A = 5, 10, 15, 20 হয়, তবে A অবশ্যই 10 এর গুণিতক হবে। না, তা বলা যায় না, কারণ A = 5, 10, 15, 20 হলে এর মধ্যে 5 রয়েছে যা 10 এর গুণিতক নয়।

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

A. 0.8 mph
B. 1.6 mph
C. 2.4 mph
D. 3.2 mph

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Answer: Option B

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২৮ তম বিসিএস প্রিলিমিনারি টেস্ট (28-11-2008)

A. 50
B. 110
C. 45
D. 60

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Answer: Option A

Explanation:

Purchase cost of pen = (55*100)/110

= 50 tk (Ans)

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পল্লী বিদ্যুতায়ন বোর্ড। এসিস্ট্যান্ট এনফোর্সমেন্ট কোঅডিনেটর। 31-12-2021

A. 38
B. 122
C. 182
D. 22

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Answer: Option A

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ওয়েজ আর্নার্স কল্যাণ বোর্ড || উপ সহকারী পরিচালক (22-11-2024) || 2024

A. 2
B. 1
C. abc
D. 1/abc

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Answer: Option B

Explanation:

From ax = b, we get x =b/a -------------------------- (i)
From by = c, we get y =c/b ---------------------------(ii)
From cz = a, we get z = c/a ---------------------------(iii)

Multiplying the left hand sides and right hand sides of (i), (ii) and (iii) we get
xyz = (b/a) x (c/b) x (c/a)

When we simplify, we find that xyz=1.

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5154 . If Elias makes a box every 5 minutes and Nadim takes minutes to make a box, what will be the ratio of the number of boxes produced by Elias to the number of boxes produced by Nadim if they work for 5 hours and 50 minutes?

A. 5 to 6
B. 5 to 7
C. 6 to 5
D. 7 to 5

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Answer: Option D

Explanation:

5 hrs 50 mins = 5 x 60 + 50 = 350 minutes

Salam makes = 350/5 = 70 boxes

Kalam makes = 350/7 = 50 boxes

Ratio = 70 : 50 = 7 : 5

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Global Islami Bank || Probationary Officer (10-02-2024) || 2024

A. 0.5
B. 1
C. 4
D. 8
E. None

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Answer: Option C

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Probationary Officer | 31.03.2017 ||

A. 10%
B. 21%
C. 20%
D. None of these

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Answer: Option B

Explanation:

Say, salary in 1997 was Tk. 10
In each year, he received 10% more than the previous year
In 1997, salary = 10
In 1998, salary = 10 + 1 = Tk. 11
In 1999, salary = 11 + 11x (10/100) = 11 + 1.1 = 12.1
% Difference = (Changex100)/Origina = (12.1 - 10)x100/10 = 21%

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Bangladesh Bank - Assistant Director - 2001

A. 40
B. 50
C. 60
D. 70

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Answer: Option C

Explanation:

সকাল ৭ টা থেকে বিকেল ৩টা পর্যন্ত মধ্যবর্তী সময়ের পার্থক্য ৮ ঘণ্টা।
∴ ট্রেনের গড় গতিবেগ = মোট অতিক্রান্ত দূরত্ব/মোট ব্যয়িত সময় ৩০০/৮ কি.মি. = ৩৭.৫ কিমি

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Bangladesh Bank - Assistant Director - 2001

A. 4
B. 5
C. 9
D. 22

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Answer: Option D

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বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(ব্যক্তিগত কর্মকর্তা) 19-06-2021 || 2021

A. 2
B. 5
C. 10
D. 65

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Answer: Option D

Explanation:

To find the smallest possible value of k such that 1040k is the square of an integer, we need to factorize 1040 and then find the least value of k that makes the result a perfect square.

First, let's factorize 1040:

1040 = 2^4 * 5 * 13

Now, to make 1040k a perfect square, we need to make the exponents of all prime factors even. So, we need to find the least value of k that will make the exponents of 2, 5, and 13 even.

Exponent of 2: Since it's already raised to the power of 4, we don't need to change it.

Exponent of 5: We need to raise it to an even power. So, k should be multiplied by 5 to make it even.

Exponent of 13: We need to raise it to an even power. So, k should be multiplied by 13 to make it even.

Now, let's consider the exponents of 5 and 13:

Exponent of 5: It's currently 1, so we need to raise it to an even power, which means multiplying by 5 again. So, k should be at least 5.

Exponent of 13: It's currently 1, so we need to raise it to an even power, which means multiplying by 13 again. So, k should be at least 13.

To make sure both exponents are even, we need to take the least common multiple (LCM) of 5 and 13, which is 65.

So, the smallest possible value of k such that 1040k is the square of an integer is k = 65.

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

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

5146 . If a = 2/7, b = 1/3 and c = 1/8, then value of y = a - 3b + 16c is--/যদি a = 2/7, b = 1/3 এবং c = 1/8 হয়, তবে y = a - 3b + 16c এর মান কত?

5147 . if A B C D and E are points in a plane such that the line CD bisects angle ACb and line CB bisects right angle ACE ,then DCE=?

5148 . If a boat goes 7km upstream in 42 minutes and the speed of the stream is 3kmph,then the speed of the boat in still water is-

5149 . If A is an integer, which of the following CANNOT be inferred from the statement above?

5150 . If a man swims 4 miters upstream at 1 mph and back downstream to the same point at 4 mph, what is his average speed?

5151 . If a pen is sold at taka 55 it makes a profit of 10%. What is its purchase cost?

5152 . If a=4, b=5, c=3, what is the value of 4ab-6ac+2bc?

5153 . If ax=b, by=c and cz=a, then the value of xyz is

5154 . If Elias makes a box every 5 minutes and Nadim takes minutes to make a box, what will be the ratio of the number of boxes produced by Elias to the number of boxes produced by Nadim if they work for 5 hours and 50 minutes?

5155 . If f(x)=5-2x and f(3k)=f(k+1),then f(k)= ?

5158 . If k is an integer and k = 462/n, then which of the following could be the value of n?

5159 . If K is an integer, what is the smaller: possible value of k such that 1040 is the square of an integer?

5160 . If log 2= 0.3010 and log 3=0.4771. What is the value of log5 1024?

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