6901 . In the expression of ${(x - y)}^{3},$ the coefficient of $y^{2}$ is:

A. 1
B. 3
C. 3a
D. $- 3 a^{2}$

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Answer: Option B

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6902 . In the coordinate plane, line m passes through the origin and has a slope of 3. If points (6,y) and (x,12) are on line m, then y - x = ?

A. 14
B. 18
C. 22
D. 26

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Answer: Option A

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

6903 . In square ABCD below, what is the value of $\{(A C) (A D)\} / \{(A B) (D C)\} = ?$

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

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Answer: Option C

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6904 . In set S there are four numbers. Three of the numbers are 13.29, and 41, and the fourth number is X. If the mean of the set is less than 25, what could be the value of X?

A. 13
B. 17
C. 19
D. 21

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Answer: Option A

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

A. 32
B. 70
C. 126
D. 110

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Answer: Option B

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Bangladesh Oil- Gas and Mineral Corporation (Petrobangla) || Assistant Manager (Electrical / Electronics/Chemical/Petroleum/Petroleum & Mining/IPE/ MME/Naval Architechture/ Telecom/ Geology/Geophysics/Chemistry/Environment/Marketing) (31-05-2024) || 2024

A. 56
B. 70
C. 120
D. 144

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Answer: Option D

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

A. 8
B. 64
C. 40, 320
D. 80, 640

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Answer: Option C

Explanation:

একটি সরল রেখায় ৪টি ভিন্ন রংয়ের ফুলকে ৪! ভাবে সাজানো যায়।
এখানে ৪! = 8 × 7 × 6x5x4x3x2 × 1
= 40320

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

A. 7,143
B. 5,286
C. 4,475
D. 3,475

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Answer: Option B

Explanation:

প্রশ্নে বলা হচ্ছে, A নামের একটি দেশে 1,000 ডলারের উপর কোনো ট্যাক্স দিতে হয় না। 1,000/ ডলারের পর 65% হারে ট্যাক্স দিতে হয়। ঐ হারে ট্যাক্স দেয়ার পর 2,500 ডলার রাখতে চাইলে সম্পদের পরিমাণ কত হতে হবে?
2,500 ডলার হাতে রাখতে হলে 1,000 ডলার প্রথমেই আলাদা করি, কারণ 1000 ডলার হলো করমুক্ত আয়।
.:. কর দিতে হয় = 2,500 - 1,000 1,500 ডলারের উপর
পরবর্তী আয়ের উপর যেহেতু 65% কর দিতে হয়। সুতরাং কর দেয়ার পর হাতে বাকি থাকে = 100 – 65 = 35%
অর্থাৎ 35% = 1,500
.:.100% =1500 * 100/*35 = 4,286 ডলার (দশমিকের পরের সংখ্যা বাদ দিয়ে)
.:. হাতে রাখতে হবে = 4,286 + 1.000 = 5,286 ডলার।

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

6909 . In an acute angled traingle ABC ,if sin 2 (A + B - C) =1 and tan ( B + C-A)= $\sqrt{3},$ then the value of angle B is

A. 52%
B. 60=0%
C. 30%
D. 67%

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Answer: Option A

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Sonali &amp-Janata Bank | Officer (IT)| 04.01.2019

A. 103
B. 105
C. 107
D. 109
E. None

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Answer: Option C

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

A. -2
C. 2
D. 5

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Answer: Option B

Explanation:

All the numbers are -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8. Sum of them= 0. Average is also 0.

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

A. 10
B. 12
C. 14
D. 16

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Answer: Option D

Explanation:

In a sequence of consecutive integers, the sum of the first four integers and the sum of the last four integers will have the same difference because they have an equal number of terms, and each term in the sum of the last four integers is greater by a fixed value compared to the corresponding term in the sum of the first four integers.

For example, consider the sequence of consecutive integers: 1, 2, 3, 4, 5, 6, 7, 8. The sum of the first four integers (1 + 2 + 3 + 4) is 10, and the sum of the last four integers (5 + 6 + 7 + 8) is 26. The difference between these two sums is 26 - 10 = 16.

So, the sum of the last four integers is 16 greater than the sum of the first four integers. Therefore, the answer is indeed 16.

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

A. 49
B. 58
C. 68
D. 77
E. None

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Answer: Option D

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সাধারণ বীমা কর্পোরেশন || সহকারী ব্যবস্থাপক (08-11-2024) || 2024

A. 5%
B. 10%
C. 30%
D. 50%
E. None

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Answer: Option E

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

A. 48
B. 20
C. 12
D. 28

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Answer: Option C

Explanation:

আমরা জানি,
Total = n(A) + n(B) - both + none
⇒ 36 = 20 + 28 - both + 0
⇒ 36 = 48 - both
⇒ both = 48 - 36
⇒ both = 12

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

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6902 . In the coordinate plane, line m passes through the origin and has a slope of 3. If points (6,y) and (x,12) are on line m, then y - x = ?

6904 . In set S there are four numbers. Three of the numbers are 13.29, and 41, and the fourth number is X. If the mean of the set is less than 25, what could be the value of X?

6905 . In how many ways can a committee of 4 people be chosen out of 8 people?

6906 . In how many ways can 5 people from a group of 6 people be seated around a circle table?

6907 . In how many different orders can 8 different colors of flowers be arranged in a staight line?

6908 . In country A, the first 1,000 dollar of any inheritance are untaxed. After the first 1,000 dollar, inheritances are taxed at rate of 65%. How large must an inheritance be, to the nearest dollar, in order to amount to 2,500 dollar after the inheritance tax?

6910 . In a set of 10 consecutive positive integers, the sum of first 5 numbers is 510. What is the average of last 5 numbers in the series?

6911 . In a set, there are 17 consecutive integers with a maximum value of 8, what is the average of this set?

6912 . In a sequence of consecutive integers, how much greater is the sum of the last four integers than sum of first four integers?

6913 . In a school, students may bring breakfast, buy it, or may not eat breakfast. If 1/4 of the students bring breakfast, 1/7 don't eat breakfast, and 187 buy it, how many students bring breakfast?

6914 . In a school, 40% of the students are male and all the students like either math or English. If 60% of the students like math and 30% of the students are male who like English, what percentage students of the class are female students who like English?

6915 . In a room of 36 people, 20 players play chess while 28 players play poker. How many players play both?

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