(y-1), Which of the following must be true?

A. x>1
B. x>y
C. x< y
D. None of these

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Answer: Option C

Explanation:

Hints:

x/y> (x - 1)/( y - 1)

xy - x> xy - y

xy - x - xy > - y

- x > - y

x < y

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2327 . If $x^{2} + 2 x y + y^{2} = 25$ and xy = 6 then x+y is:

A. $\pm 5$
B. $\pm 10$
C. $\pm 13$
D. $\pm 4$

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Answer: Option A

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সমন্বিত ৫ ব্যাংক ও ১ আর্থিক প্রতিষ্ঠান — অফিসার (ক্যাশ) (11-07-2025) | 2025

2328 . If $x^{2} + \frac{9}{x^{2}} = 31,$ what is the value of $\frac{x - 3}{x} ?$

A. $36$
B. $25$
C. $9$
D. $5$

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Answer: Option D

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প্রবাসী কল্যাণ ব্যাংক-সিনিয়র অফিসার-09-10-2021

A. -2
B. -2 (repented root)
C. 2
D. None of these

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Answer: Option B

Explanation:

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সমন্বিত ৮ ব্যাংক ও ১ আর্থিক প্রতিষ্ঠান — অফিসার (জেনারেল) (04-07-2025) | 2025

A. 1,000√√
B. 100√10
C. 100
D. 10√10

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Answer: Option D

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2331 . If x4 = 81 and y2 = 49, then the maximum possible value of y - x?

A. 21
B. 10
C. 4
D. -4

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Answer: Option B

Explanation:

x4 = 34

x = 3

এবং, , y2 = 72

y = 7

অতএব, x + y = 7 + 3 = 10

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2332 . If $(x^{5} - 32) = 0$ and $x^{7} = 128$ , then

A. $x < 0$
B. $x = 2$
C. $x > 3$
D. $x = 5$

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Answer: Option B

Explanation:

ধরি,
একটি সংখ্যা ক
এবং অপর সংখ্যা ২ক/৩
প্রশ্নমতে,
২ক঳২/৩ = ৬০০
বা, ক঳২ = ৯০০
বা, ক = ৩০
সুতরাং ছোট সংখ্যাটি = ২০

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Bangladesh Bank - Assistant Director - 2004

A. 29:22
B. 22 : 29
C. 26 : 61
D. 61 : 26

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Answer: Option A

Explanation:

x/y = 5/2
Means x = 5, y = 2
Putting value of x and y in expression
8 × 5 + 9 × 2 = 58
8 × 5 + 2 × 2 = 44
58 : 44 = 29 : 22

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সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

A. 5 : 11
B. 6 : 5
C. 5 : 6
D. 3 : 8

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Answer: Option A

Explanation:

Hints: x/y = 5/3

8x/5y = 8 × 5/5 × 3

8x - 5y /8x + 5y = 40 - 15 / 40 + 15 = 25/58 = 5/11 = 5 : 11.

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. 3:12
B. 8:12
C. 5:11
D. 5:15

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Answer: Option C

Explanation:

Hints: x/y = 5/3

8x/5y = 8 × 5/5 × 3

8x - 5y /8x + 5y = 40 - 15 / 40 + 15 = 25/58 = 5/11 = 5 : 11.

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সমন্বিত ৪ ব্যাংক - সহকারী প্রোগ্রামার - 25.09.2020

A. 5:11
B. 6:5
C. 5:6
D. 3:4

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Answer: Option A

Explanation:

x:y=5:3

So, 8x-5y:8x+5y=(8×5)-(5×3):(8×5)+(5×3)=5:11

(ans)

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Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

A. x-y<0
B. x=-y
C. xy>0
D. None of these

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Answer: Option C

Explanation:

Hints:

x<0 এবং y<0

xy > 0 [ ( - ) ( - ) = ( + ) ]

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2338 . If x= $1 + \sqrt{2}$ and y= $1 + \sqrt{2}$ find the value of $(x^{2} + y^{2})$

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

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Answer: Option D

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Bangladesh Bank - Assistant Director - 2014

2339 . If $x = - 3,$ then the value of $- 3^{2}$ is:

A. -27
B. -18
C. 27
D. 81

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Answer: Option A

Explanation:

নটিক্যাল মাইল. দৈর্ঘ্যের একটি একক যা সামুদ্রিক দিকনির্ণয়ে ব্যবহৃত হয় যা একটি গোলকের উপরে বৃহত্তম বৃত্তের এক মিনিট বৃত্তচাপের সমান। এক আন্তর্জাতিক নটিক্যাল মাইল 1,852 মিটারের অথবা 1.151 বিধিবদ্ধ মাইলের সমান। অনুগ্রহ করে মনে রাখবেন যে এটি ইউকে নটিক্যাল মাইল থেকে পৃথক।

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Bangladesh Bank - Assistant Director - 2004

2340 . If x=1,then $\frac{x^{4} - x^{3} + x^{2}}{x - 1} = ?$

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

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Answer: Option A

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Bangladesh Bank - Assistant Director - 2011

2326 . If x/y>(x-1)/(y-1), Which of the following must be true?

2329 . If x2 + 4x + 4 = 0, then the value of x is:

2330 . If x4 = 10, then x6 =?

2331 . If x4 = 81 and y2 = 49, then the maximum possible value of y - x?

2333 . If x: y =5:2 , then (8x+9y) : ( 8x +2y) is

2334 . If x:y =5:3 , then (8x-5y) : (8x +5y) =?

2335 . If x:y= 5:3, then (8x-5y) : (8x+5y)= ?

2336 . if x:y=5;3, then(8x-5y):(8x=5y)=?

2337 . If x<0 and y<0, then which of the following must be true?

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