7036 . If a+b =8 and ab =15, what is the value of $a^{2} + b^{2} ?$

A. 94
B. 79
C. 34
D. 30

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Answer: Option C

Explanation:

আমরা জানি, {(a + b)}^{2} = a^{2} + 2 a b + b^{2} \Rightarrow {(8)}^{2} = a^{2} + b^{2} + 2 a b \Rightarrow 64 = a^{2} + b^{2} + (2 \times 15) \Rightarrow a^{2} + b^{2} + (2 \times 15) = 64 \Rightarrow a^{2} + b^{2} = 64 - 30 = 34

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7037 . If a+b =8 and ab =12 then find the value of $a^{2} - b^{2}$

A. 16
B. 32
C. 36
D. 49

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Answer: Option B

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7038 . If $9^{2 x + 1}$ =81, then x=?

A. 1/2
B. 3/2
C. 7/2
D. 5/2

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Answer: Option A

Explanation:

9^{2 x + 1} = 81 \Rightarrow 9^{2 x + 1} = 9^{2} \Rightarrow 2 x + 1 = 2 \Rightarrow 2 x = 1 \Rightarrow x = \frac{1}{2} (A n s)

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

7039 . If $8^{2 x + 3} = 2^{2 x + 6},$ then x=?

A. -3
B. -1
C. 8
D. None of these

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Answer: Option D

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7040 . If 738A6A is divisible by 11, then the value of A is

A. 9

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Answer: Option A

Explanation:

কোনো সংখ্যা11 দ্বারা নিঃশেষে বিভাজ্য হবে যদি সংখ্যাটির জোড় স্থানীয় অঙ্ক এবং বিজোড় স্থানীয় সংখ্যাগুলির সমষ্টির পার্থক্য () বা 11 এর গুণিতক হয়। এখানে, 3, A, A হলো সংখ্যাটির জোড় স্থানীয় অঙ্ক এবং 7, 8, 6 হলো বিজোড় স্থানীয় অঙ্ক। ∴ (A + A + 3) - (6 + 8 + 7) = 0 \Rightarrow 2 A + 3 - 21 = 0 \Rightarrow 2 A - 18 = 0 \Rightarrow 2 A = 18 \Rightarrow A = 9

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

A. 3 hours
B. 3 hours 30 minutes
C. 5 hours
D. 4 hours 40 minutes

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Answer: Option D

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

7042 . If $6 \geq x \geq - 1$ ,which of the following cannot be a value of x-y?

B. 1
C. 6
D. Try your self

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Answer: Option D

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শিল্প মন্ত্রণালয়ের অধীন বিসিআইসি | সহকারী ব্যবস্থাপক (প্রশাসন) | ০৮.১২.২০১৮

A. x ≤ 2
B. x ≥ 2
C. x ≤ -2
D. x ≥ -2

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Answer: Option D

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7044 . If 4x - 3y = 13 and 5x + 2y = -1, then x = ?

A. -3
B. -1
C. 1
D. 3

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Answer: Option C

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

A. 3
B. 6
C. 9
D. 12

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Answer: Option C

Explanation:

4x+12=36

4X=24

X=6

X+3

=6+3

=9 Ans

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বাংলাদেশ বেসামরিক বিমান চলাচল কর্তৃপক্ষ || এটিএম/এরোড্রাম কর্মকর্তা (এটিএমঃএটিসিও)/সিএনএস প্রকৌশলী (07-08-2023)

A. 24

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Answer: Option A

Explanation:

ধরি, 25 দিনে 60 টি বক্স তৈরি করতে x জন লোক লাগবে। ∴ (40 + x) জন লোক 25 দিনে 60 টি বক্স তৈরি করতে পারে 40 জন লোক 20 দিনে তৈরি করে 30 টি বক্স ∴ (40 + x) জন লোক 25 দিনে তৈরি করে= \frac{30 (40 + x) \times 25}{40 \times 20} প্রশ্নমতে, \frac{30 (40 + x) \times 25}{40 \times 20} = 60 \Rightarrow 40 + x = \frac{60 \times 60 \times 20}{40 \times 20} \Rightarrow 40 + x = 64 \Rightarrow x = 64 - 40 ∴ x = 24

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

7047 . If 3x-5y=5 and $\frac{x}{x + y} = \frac{5}{7}$ then what is the value of x-y is-

A. -3
B. 3
C. 6
D. 9

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Answer: Option B

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

7048 . If $3^{(n + 4)} - 3^{(n + 2)} = 8$ What is the value of n?

A. $- 2$

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Answer: Option A

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

7049 . If $2^{x} = 2^{y} = 4^{- z} t h e n \frac{1}{x} + \frac{1}{y} + \frac{1}{z} i s e q u a l t o :$

A. $0$
B. $1$
C. $\frac{3}{2}$
D. $- \frac{1}{2}$

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Answer: Option A

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7050 . If $2^{x - 6}$ = $\frac{1}{64}$ value of x?

A. 1
B. 2
C. 3

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Answer: Option D

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স্থানীয় সরকার প্রকৌশল অধিদপ্তর- LGED (হিসাব সহকারী) 26-02-2021 || 2021

7040 . If 738A6A is divisible by 11, then the value of A is

7041 . If 7 workers can assemble a car in 8 hours, how long would it take 12 workers to assemble the same car?

7043 . If 6 - 4x ≤ 14, then

7044 . If 4x - 3y = 13 and 5x + 2y = -1, then x = ?

7045 . If 4x + 12 = 36, what is the value of x + 3 ?

7046 . If 40 men can make 30 boxes in 20 days. How many more men are needed to make 60 boxes in 25 days?

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