2086 . If X is the difference if the squaresof two consecutive even numbers, which of the following numbers is a divisor of X?

A. 4
B. 7
C. 8
D. 9

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Answer: Option A

Explanation:

Let's consider two consecutive even numbers as 2n and 2n+2, where n is any integer.
The square of 2n is (2n)^2 = 4n^2. The square of 2n+2 is (2n+2)^2 = 4(n+1)^2.
Now, let's find the difference between these squares:
X = (2n+2)^2 - (2n)^2 X = 4(n+1)^2 - 4n^2
Now, factor out 4:
X = 4[(n+1)^2 - n^2]
Now, simplify the expression inside the square brackets:
X = 4[(n^2 + 2n + 1) - n^2]
X = 4(2n + 1)
X = 8n + 4
Now, we can see that X is divisible by 4 because it has a factor of 4. So, the correct answer is 4.

2087 . If X is the same color as Z, then it must be true that-

A. R is the same color as Y
B. W is a different color from any other country
C. X is the same color as Y
D. S is the same color as X

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Answer: Option B

Explanation:

R,S, X and Y each are adjacent to W, so W can not be the same color as X, as x is the same color as Z, So W can not be the same color as Z too. So W is different from any other country.

Bangladesh Bank - Officer - 2015

A. y-4
B. (x+40)/xy
C. xy/(x+4)
D. (xy+4y)/x

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Answer: Option C

Explanation:

Hints:

x men কাজটি করে y দিনে

1 man কাজটি করে xy দিনে

x + 4 men কাজটি করে xy/ (x + 4) দিনে

2089 . If x ≥ 10 and y ≤ 7, which of the following must be true?

A. x + y ≥ 3
B. x + y ≤ 7
C. x - y ≤ 3
D. x - y ≤ 10

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Answer: Option C

Explanation:

2090 . If x/bc = y/ca = z/ab, then x + y + z =?

A. (a + b + c)/abc
B. 1
D. a + b + c

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Answer: Option C

Explanation:

2091 . If x/y = -1 and xy = -1, then x - y =?

A. -1
B. -2
C. 2
D. 1

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Answer: Option C

Explanation:

2092 . If x/y>(x-1)/(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

2093 . If x4 = 10, then x6 =?

A. 1,000√√
B. 100√10
C. 100
D. 10√10

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Answer: Option D

Explanation:

2094 . 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

2095 . 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

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

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.

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.

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)

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 [ ( - ) ( - ) = ( + ) ]

2086 . If X is the difference if the squaresof two consecutive even numbers, which of the following numbers is a divisor of X?

2087 . If X is the same color as Z, then it must be true that-

2088 . If x men can do a work in y days, how many days will it take (x+4) men to do the same work?

2089 . If x ≥ 10 and y ≤ 7, which of the following must be true?

2090 . If x/bc = y/ca = z/ab, then x + y + z =?

2091 . If x/y = -1 and xy = -1, then x - y =?

2092 . If x/y>(x-1)/(y-1), Which of the following must be true?

2093 . If x4 = 10, then x6 =?

2094 . If x4 = 81 and y2 = 49, then the maximum possible value of y - x?

2096 . If x: y =5:2 , then (8x+9y) : ( 8x +2y) is

2097 . If x:y =5:3 , then (8x-5y) : (8x +5y) =?

2098 . If x:y= 5:3, then (8x-5y) : (8x+5y)= ?

2099 . if x:y=5;3, then(8x-5y):(8x=5y)=?

2100 . If x<0 and y<0, then which of the following must be true?

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