2311 . If X is an odd integer and Y is an even integer, which of the following statements is(are) always true? I. X + Y is odd II. XY is odd III. X + 2Y is even

A. I only
B. II and III only
C. I and III only
D. III only

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Answer: Option A

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2312 . If x is an odd integer and y is an even integer which of the statements is(are) always true? I. x + y is odd II. xy is odd III. 2x + y is even.

A. I only
B. II and III only
C. I and III only
D. III only

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Answer: Option C

Explanation:

1. Addition of odd and even integers yields odd intgers. Example: 4 + 3 = 7. So, statement 1 is true.

2. Multiplication of odd and even integers yields even integers. Example: 4x3 = 12. So, statement 2 is false.

3. 2x is even and y is also even. So, 2x + y is even. Therefore, statement 3 is true.

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2313 . If X is brother of son of Y's son, then how is X related to Y ?

A. Cousin
B. Grandson
C. Son
D. Brother

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Answer: Option B

Explanation:

son of Y's son is Y's Grandson

brother of grandson is also a grandson.

so, X is Y's grandson.

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Bangladesh Bank - Officer(Cash) - 2016

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.

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গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021 || 2021

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.

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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

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2317 . If $(x - y) = 10,$ and $x y = 75$ what is the value of x?

A. $15$
B. $5$
C. $10$
D. $20$
E. $25$

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Answer: Option A

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Bangladesh Bank - Officer(Cash) - 2011

2318 . If x-y=3 then what is the value of $x^{3} - y^{3} - 9 x y ?$

A. $12$
B. $18$
C. $20$
D. $27$

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Answer: Option D

Explanation:

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Probashi Kallyan Bank-Officer (Cash)-25-09-2021

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

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Answer: Option C

Explanation:

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2320 . 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

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2321 . 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

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2322 . If x/y = 3/7, then which of the following cannot be a possible value of (y-x)?

A. 21
B. 84
C. 24
D. None of these

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Answer: Option D

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SBAC Bank PLC || Trainee Junior Officer (28-09-2024) || 2024

2323 . If x/y =1/3, then value of $(x^{2} + y^{2}) / (x^{2} - y^{2})$ is-

A. -10/9
B. 5/4
C. -5/4
D. -5/3

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Answer: Option C

Explanation:

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বাংলাদেশ ব্যাংক || সহকারী পরিচালক 28-10-2022 || 2022

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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2325 . 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

2311 . If X is an odd integer and Y is an even integer, which of the following statements is(are) always true? I. X + Y is odd II. XY is odd III. X + 2Y is even

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2312 . If x is an odd integer and y is an even integer which of the statements is(are) always true? I. x + y is odd II. xy is odd III. 2x + y is even.

2313 . If X is brother of son of Y's son, then how is X related to Y ?

2314 . If X is the difference if the squaresof two consecutive even numbers, which of the following numbers is a divisor of X?

2315 . If X is the same color as Z, then it must be true that-

2316 . If x men can do a work in y days, how many days will it take (x+4) men to do the same work?

2319 . If x ≥ 10 and y ≤ 7, which of the following must be true?

2320 . If x/bc = y/ca = z/ab, then x + y + z =?

2321 . If x/y = -1 and xy = -1, then x - y =?

2322 . If x/y = 3/7, then which of the following cannot be a possible value of (y-x)?

2324 . If x/y>(x-1)/(y-1), Which of the following must be true?

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