6886 . L o g 3 1/ 27 = log 3 3 − 3 = কত?

A. 3
B. -3
C. 9
D. -9

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Answer: Option B

Explanation:

\log_{3} \frac{1}{27} = {\log_{3}}^{3^{3}} = - 3 \times 1 = - 3

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সহকারী উপজেলা/থানা শিক্ষা অফিসার (মুক্তিযোদ্ধা ও ক্ষুদ্র নৃ-গোষ্ঠী কোটা) (21-08-2015)

A. 8 miles per hour
B. 10 miles per hour
C. 12 miles per hour
D. 15 miles per hour

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Answer: Option B

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

A. 8
B. 10
C. 12
D. 14

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Answer: Option C

Explanation:

Let's use algebra to solve this problem. Let "x" be the number of pens Karim originally bought, and "p" be the cost of each pen in taka. We are given two pieces of information: He bought some pens for 120 taka, which means: x * p = 120 If each pen cost him 2 taka less, he could buy 2 more pens, which means: (x + 2) * (p - 2) = 120 Now, we have a system of two equations: x * p = 120 (x + 2) * (p - 2) = 120 We can solve this system of equations simultaneously. Let's start with equation (1): x * p = 120 Now, let's express "p" in terms of "x" from equation (1): p = 120 / x Now, substitute this expression for "p" into equation (2): (x + 2) * ((120 / x) - 2) = 120 Let's simplify this equation: (x + 2) * ((120 - 2x) / x) = 120 Now, let's eliminate the fractions by multiplying both sides by "x": (x + 2) * (120 - 2x) = 120x Expand and simplify: 120x - 2x^2 + 240 - 2x = 120x Now, bring all the terms to one side: -2x^2 + 240 - 2x = 0 Divide the entire equation by -2 to simplify: x^2 - 120 + x = 0 Now, let's solve this quadratic equation for "x." We can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a) In this case, a = 1, b = -120, and c = 1. Plug these values into the formula: x = (-(-120) ± √((-120)² - 4(1)(1))) / (2(1)) Simplify: x = (120 ± √(14400 - 4)) / 2 x = (120 ± √14396) / 2 Now, calculate the square root: x = (120 ± 119.997) / 2 Now, consider both the positive and negative roots: x = (120 + 119.997) / 2 ≈ 119.998 / 2 ≈ 59.999 (approximately 60) x = (120 - 119.997) / 2 ≈ 0.003 / 2 ≈ 0.0015 (approximately 0) Since Karim cannot buy 0 pens, the only reasonable solution is that he originally bought approximately 60 pens. However, the problem states that if he could buy pens for 2 taka less, he could buy 2 more pens. This suggests that he bought 12 pens initially (60 / 5 = 12), and each pen cost 10 taka (120 / 12 = 10). So, Karim initially bought 12 pens.

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

A. 72000
B. 73500
C. 74500
D. 76200
E. None

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Answer: Option C

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

A. 138
B. 139
C. 154
D. 180

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Answer: Option A

Explanation:

Let, Kalam = k; Shaila = S, Meena = M; Tina = TCoditionally, k - 3 = 2(T - 3) - - - - - - - - (i)
k = M + 30 - - - - - - - - - (ii)
k = S + 47 - - - - - - - - - - - - (iii)
2(S + 4) = T + 4or, 2S + 4 = TFrom (i)
We get k - 3 = 2(2S + 4 - 3)or, k = 4S + 5From (iii)
We get 4S + 5 = S + 47 = > 3S = 42S = 14k = 14 + 47 = 61

M = 61 - 30 = 31
T = 2x14 + 4 = 32

Total = 14 + 31 + 32 + 61 = 138 (Ans.)

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

A. 40 Taka
B. 60 Taka
C. 100 Taka
D. 120 Taka
E. None

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Answer: Option B

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পায়রা বন্দর কর্তৃপক্ষ (বিভিন্ন পদ) 06-11-2020

6892 . k এর মান কত হলে $k x^{2} + 3 x + 4$ রাশিটি পূর্ণবর্গ হবে?

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

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Answer: Option C

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৪৮ তম (বিশেষ) বিসিএস প্রিলিমিনারি টেস্ট (Dental Science) (18-07-2025) | 2025

A. 6
B. 8
C. 10
D. 12

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Answer: Option A

Explanation:

দুটি সরলরেখা পরস্পর লম্ব হলে, তাদের স্লোপস গুণফল হবে -1। অতএব, k এর মান 6 হলে দুটি সরলরেখা পরস্পর লম্ব হবে।

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A ইউনিট বিজ্ঞান (২০২৩-২০২৪) || (02-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয় || 2024

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

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Answer: Option D

Explanation:

দুটি সরলরেখা পরস্পর লম্ব হলে, তাদের স্লোপস গুণফল হবে -1।

প্রথম সরলরেখার ঢাল:

m1 = -(2/-1) = 2

দ্বিতীয় সরলরেখার ঢাল:

m2 = -(3/k)

সুতরাং,

2 * -(3/k) = -1

-6/k = -1

k = 6

অতএব, k এর মান 6 হলে দুটি সরলরেখা পরস্পর লম্ব হবে।

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A ইউনিট বিজ্ঞান (২০২৩-২০২৪) || (02-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয়

6895 . k এর কোন মানের জন্য $x^{2} + k x + 1 = 0$ সমীকরণটির মূল দুটি জটিল হবে?

A. -2< k ≤ 2
B. -2 ≤ k ≤2
C. -2
D. -2 ≤ k <2

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Answer: Option B

Explanation:

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A ইউনিট বিজ্ঞান (২০২৩-২০২৪) || (02-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয় || 2024

A. -5
B. 5
D. 1/5

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Answer: Option A

Explanation:

দেয়া আছে,

2x - ky = 3

বা, 2x - ( - 5)y = 3

বা, 2x + 5y = 3

so, x = (3 - 5y)/2

x এর মান প্রদত্ত সমীকরণে বসিয়ে পাই,

2. (3 - 5y/2) + 5y - 8 = 0

বা, 3 - 5y + 5y - 8 = 0

যা সম্ভব নয়।

so, k এর মান ( - 5) হলে সমীকরণটি সঠিক না।

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৭ম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (02-12-2011) || 2011

A. 1/5
C. 5
D. -5

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Answer: Option D

Explanation:

দেয়া আছে,

2x - ky = 3

বা, 2x - ( - 5)y = 3

বা, 2x + 5y = 3

so, x = (3 - 5y)/2

x এর মান প্রদত্ত সমীকরণে বসিয়ে পাই,

2. (3 - 5y/2) + 5y - 8 = 0

বা, 3 - 5y + 5y - 8 = 0

যা সম্ভব নয়।

so, k এর মান ( - 5) হলে সমীকরণটি সঠিক না।

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6898 . k এর কোন মানের জনা $x^{2} + k x + 1 = 0$ সমীকরণটির মূল দুটি জটিল হবে?

A. $- 2 < k ⩽ 2$
B. $- 2 ⩽ k ⩽ 2$
C. -2
D. $- 2 ⩽ k < 2$

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Answer: Option C

Explanation:

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A ইউনিট বিজ্ঞান (২০২৩-২০২৪) || (02-03-2024) || চট্টগ্রাম বিশ্ববিদ্যালয়

A. 140
B. 175
C. 245
D. 385

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Answer: Option C

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A. 1/2
B. 1
C. 1/16
D. 14

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Answer: Option A

Explanation:

The probability of getting heads on a fair coin flip is 1/2. Each coin flip is independent of the previous ones, so the fact that Jennifer got heads three times in a row does not affect the probability of getting heads on the next flip. Therefore, the probability of getting heads on the next flip is still 1/2.

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সহকারী পরিচালক(AD) -12.11.2021

6886 . L o g 3 1/ 27 = log 3 3 − 3 = কত?

6887 . Karim traveled 60 miles from Dhaka to Gazipur at a certain speed. If his speed per hour were 2 miles faster, he would need 1 hour less 2 to rach Gazipur. What was his install speed?

6888 . karim has brought some pens for 120 taka.if each pencoast him 2 taka less then he could buy 2 more pens.how many pens did he buy?

6889 . Kanban Inc.. earned BDT 47000 in December, thereby reducing 12-month average earning (from January to December) by BDT 2500. Find the new average earning

6893 . k-এর মান কত হলে 2x-y+7= 0 এবং 3x + ky - 5 = 0 রেখা দুটি পরস্পর লম্ব হবে?

6894 . k এর মান কত হলে 2x - y + 7 = 0 এবং 3x + ky - 5 = 0 রেখা দুইটি পরস্পর লম্ব হবে?

6896 . k-এর কোন মানের জন্য 2x + 5y + 8 = 0 এবং 2x - ky = 3 সমীকরণ দুটির কোনো সমাধান থাকবে না ?

6897 . k-এর কোন মানের জন্য 2x + 5y + 8 = 0 এবং 2x - ky = 3 সমীকরণ দুটির কোন সমাধান থাকবে না?

6899 . Jerin has 40% more books than Rashed However, if she gives 45 of her books to Rashed, then Rashed will have 10% more books than Jerin . How many books did Jerin begin with ?

6900 . Jennifer flipped a coin three times and got heads each time. What is the probability that she gets heads on the next flip?

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