9886 . Jafar is n years old. Moin is 5 years younger than Jafar and 3 years older than Arif. What is the sum of the ages of all the three?/জাফরের বয়স n বছর। মঈন জাফরের চেয়ে ৫ বছরের ছোট কিন্তু আরিফের চেয়ে ৩ বছরের বড়। তাদের তিনজনের বয়সের সমষ্টি কত?

A. 3n-3
B. 3n-8
C. 3n+8
D. 3n+2
E. None of these

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Answer: Option E

Explanation:

Jafor = n years old

So, Moin = ( n - 5) years old

So, Arif = ( n - 5 - 3) or ( n – 8) years old

Sum of these ages = ( n + n - 5 + n - 8) = 3n - 13

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9887 . $I n_{5} 125 + I n_{2} 8 = ক ত ?$

A. 8
B. 125
C. 5
D. 6

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Answer: Option D

Explanation:

I n_{5} 125 + I n_{2} 8 = I n_{5} 5^{3} + I n_{2} 2^{3} = 3 \times 1 + 3 \times 1 = 6

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বিভিন্ন মন্ত্রণালয়ের সহকারী প্রোগ্রামার - 17.04.2017

A. 96
B. 56
C. 54
D. 36

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Answer: Option C

Explanation:

Stamps must be in an integer.

Let's say, he has x stamps of other countries

So, he has 3x Stamps of Bangladesh

So it has to be, x+3x=54 [In total]

But if we solve the equation, we can see that x=27/2, which is a fraction [not an integer]

So 54 cannot be the number of stamps. (ans)

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9889 . In a production process, the number of unit produced during 1st week was 450. If the efficiency gradually increases so that 10 additional units can be produced each week. How many will be produced in the 10th week?/একটি উৎপাদন প্রক্রিয়ায় প্রথম সপ্তাহে উৎপাদন ৪৫০ একক। যদি উৎপাদনক্ষমতা পর্যায়ক্রমে প্রতি সপ্তাহে ১০ একক করে বৃদ্ধি পায়, দশম সপ্তাহে উৎপাদনক্ষমতা কত হবে?

A. 490
B. 700
C. 540
D. 640
E. 702

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Answer: Option C

Explanation:

ব্যাখ্যাঃ প্রদত্ত সমস্যাটি একটি সমন্তর ধারা । যার প্রথম পদ a = 450 , সাধারন অন্তর d = 10

সুতরাং দশম পদ = a + (10 - 1)d

= 450 + 9*10

= 540

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Bangladesh Bank - Assistant Director - 2006

9890 . $i f x = a + \frac{1}{a}$ and $y = a - \frac{1}{a}$ then $x^{4} + y^{4} - 2 x^{2} y^{2} = ?$

A. 4
B. 8
C. 16
D. None of these

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Answer: Option C

Explanation:

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সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024) || 2024

9891 . $I f p = 5 + \sqrt{2}$ , $t h e n P^{2} =$ ?

A. $25 + 10 \sqrt{2}$
B. $20 + 5 \sqrt{2}$
C. $27 + 10 \sqrt{2}$
D. $27$

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Answer: Option C

Explanation:

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ক্রীড়া পরিদপ্তর অফিস সহকারী কাম কম্পিউটার অপারেটর ০৭.০৭.২০১৯

9892 . $i f f (x) = \frac{x}{x - 2}$ then value of $f^{- 1} (2) ?$

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

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Answer: Option C

Explanation:

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সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021 || 2021

9893 . $i f f (x) = 10^{x}, t h e n f^{- 1} (x) = ?$

A. $e^{x}$
B. Inx
C. $\log x$
D. $10 e^{x}$

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Answer: Option C

Explanation:

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বাংলাদেশ রপ্তানি প্রক্রিয়াকরণ কর্তৃপক্ষ (সহকারী ম্যানেজার) 02-04-2021 || 2021

9894 . $I f a^{4} + 51 a^{2} + 1 = 0$ then the value of $a - \frac{1}{a}$ is -

A. ± 7
B. ± 4
C. ± 9
D. ± 5

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Answer: Option A

Explanation:

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বাখরাবাদ গ্যাস ডিস্ট্রিবিউশন কোম্পানী লিমিটেড (BGDCL) || সহকারী প্রকৌশলী (মেকানিক্যাল- সিভিল -কম্পিউটার ও ইলেকট্রিক্যাল) (15-03-2024) || 2024

9895 . $i f 5^{x + 1} - 2 \times 5^{x} - 3 = 0$ What is the value of x ?

A. $\log_{5} 3$
B. $\log_{3} 5$
C. 5
D. 3

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Answer: Option A

Explanation:

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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

9896 . $i f 3^{3 y} = 729, t h e n 3^{y} e q u a l s$

A. 3
B. 8
C. 9
D. 10

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Answer: Option C

Explanation:

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বাংলাদেশ বেতার সহ-সম্পাদক ২০.০৪.২০১৯

9897 . $i f \frac{x - 1}{3} = x$ and x =3 , what is the value of x?

A. 2
B. 4
C. 9
D. 10

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Answer: Option D

Explanation:

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পল্লী কর্ম সহায়ক ফাউন্ডেশন সহকারী ব্যবস্থাপক ০২. ০৮.২০১৯

9898 . $I f (2 x^{2} + 3 x - 5) (x + 2) = a x^{3} + b x^{2} + c x + d, t h e n a c - b d = ?$

A. 70
B. 71
C. 72
D. 73

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Answer: Option C

Explanation:

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জীবণ বীমা কর্পোরেশন (সহকারী ম্যানেজার) 16-10-2020

A. Sunday
B. Tuesday
C. Wednesday
D. Monday
E. Thursday

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Answer: Option C

Explanation:

In the month 2nd day is Monday, then the 18 th day will be Wednesday. You can count down it in such way : 2nd day - Monday , 3rd - Tuesday, 4th - Wednesday, 5th - Thusday , 6th - Friday ,7th - Sat, 8th - Sun , 9th - Mon , 10th - Tues , 11th - Wed, 12 th - Thurs, 13th - Fri, 14 th - sat 15th - Sun, 16th - Mon , 17th - Tues , 18th - Wednesday.

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

9900 . 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)

9899 . If the second day of the month is a Monday , the eighteenth day of the month is a ...............

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