6286 . If one of the roots of the quadratic equation x^2+mx+24= 0 is x=1.5, then what is the value of m ?

A. -22.5
B. -17.5
C. -10.5
D. 16

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Answer: Option B

Explanation:

যেহতু 1.5 সমীকরণটির একটি মূল সেহেতু ( 1.5)^2 + 1.5m + 24 = 0 2.25 + 1.5m + 24 = 0 m = - 26.25/1.5 m = - 17.5

6287 . 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

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

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

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

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

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Answer: Option D

Explanation:

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.

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

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

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Answer: Option C

Explanation:

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

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

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

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

6294 . If ${(\frac{a}{b})}^{x - 1} = {(\frac{b}{a})}^{x - 3}$ then x is equal to-- ..

A. 1
B. 2
C. $\frac{1}{2}$
D. $\frac{1}{7}$

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Answer: Option B

Explanation:

6295 . If $a b c$ are positive real numbers, then $\sqrt{a^{- 1} b} \times \sqrt{b^{- 1} c \times} \sqrt{c^{- 1} a}$ is equal to: ..

A. 8
B. 1
D. 4

View Answer	Favorite Question

Answer: Option B

Explanation:

6296 . If a=4, b=5, c=3, what is the value of 4ab-6ac+2bc?

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

View Answer	Favorite Question

Answer: Option A

Explanation:

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

6297 . If $a = \frac{2}{7}, b = \frac{1}{3}, x = \frac{1}{8},$ the value of $y = a - 3 b + 16 x$ is ..

A. $\frac{16}{7}$
B. $\frac{9}{7}$
C. $\frac{7}{16}$
D. $1$

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Answer: Option B

Explanation:

6298 . If a sum of taka invested amounts to BDT 460 in 3 years and amounts to BDT 500 in 5 years then what is thr invested sum in BDT?

A. 300
B. 350
C. 400
D. 450

View Answer	Favorite Question

Answer: Option C

Explanation:

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

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

View Answer	Favorite Question

Answer: Option A

Explanation:

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

= 50 tk (Ans)

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

A. Tk. 10,000
B. Tk. 11,500
C. Tk. 10,500
D. Tk. 12,000

View Answer	Favorite Question

Answer: Option A

Explanation:

C ইউনিট ব্যবসা শিক্ষা (২০২৩-২০২৪) || (09-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয়

6286 . If one of the roots of the quadratic equation x^2+mx+24= 0 is x=1.5, then what is the value of m ?

6287 . If m and n are in the domain of a function g and g(m) > g (n), which of the following must be true?

6288 . If log 2= 0.3010 and log 3=0.4771. What is the value of log5 1024?

6289 . If k is an integer and k = 462/n, then which of the following could be the value of n?

6290 . If K is an integer, what is the smaller: possible value of k such that 1040 is the square of an integer?

6291 . If f(x)=5-2x and f(3k)=f(k+1),then f(k)= ?

6292 . 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?

6293 . If ax=b, by=c and cz=a, then the value of xyz is

6296 . If a=4, b=5, c=3, what is the value of 4ab-6ac+2bc?

6298 . If a sum of taka invested amounts to BDT 460 in 3 years and amounts to BDT 500 in 5 years then what is thr invested sum in BDT?

6299 . If a pen is sold at taka 55 it makes a profit of 10%. What is its purchase cost?

6300 . If a mobile is sold at Tk. 11,000; there is a profit of 10%. What is the cost price of the mobile?

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