2296 . If x = 12, which of the following has the highest value?

A. (x-3)
B. (x-7) (x-9)
C. (x-7) (x-8)
D. (x - 5) (x-3)

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Answer: Option D

Explanation:

X-3= 12-3 = 9

(X-7)(X-9) = 5*3 =15

(X-7)(X-8) = 5*4 = 20

(X-5)(X-3) = 7*9 = 63

So here ,

63 > 20 > 15 > 9

Answer : 63

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Bangladesh Bank - Assistant Director - 2008

A. x - 2
B. x/2
C. 2/x
D. 2 - x

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Answer: Option C

Explanation:

x - 2 = 12 - 2 = 10

x/2 = 12/2 = 6

2/x = 2/12 = 1/6

Here, 10 < 6 < 1/6

So, 2/x has the least value.

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2298 . If x = 2y = 3z = 36 then the arithmetic mean of x, y and z is:

A. 33
B. 22
C. 18
D. 12

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Answer: Option B

Explanation:

Here, y = x/2 and z = x/3 and x = 36.

So, the arithmatic mean of x, y & z = (x + y + z)/3 = (x + x/2 + x/3)/3 = 11x/18 = 11 x 36/18 = 22.

[Alternative: x = 36, y = 36/2 = 18, z = 36/3 = 12

So, mean of x, y, z = (36 + 18 + 12) / 3 = 22]

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2299 . if x = 2 and y = - 1 which of the following expression is the greatest?

A. x + y
B. xy
C. - x + y
D. x - y - 1

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Answer: Option D

Explanation:

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Uttara Bank PLC || Probationary Officer (09-11-2024) || 2024

A. 16
B. 18
C. 20
D. 8

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Answer: Option B

Explanation:

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2301 . If x > 2 and x < 3 then which of the following is positive? (1) (x - 2)(x - 3) (II) (2 - x)(x - 3) (III) (2 - x)(3 - x)

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

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Answer: Option D

Explanation:

So x is between 2 and 3.

X is more than 2, so x – 2 will be positive. X is less than 3, so x – 3 will be negative. (x – 2)(x – 3), then, is a positive times a negative, and is thus negative.

X is more than 2, so 2 – x will be negative. We already know that x – 3 is negative, so (2 – x)(x – 3) is a negative times a negative, and is thus definitely positive.

X is less than 3, so 3 – x will be positive. 2 – x is negative, so (2 – x)(3 – x) is a negative times a positive, which is negative.

We can see then, that only (2 – x)(x – 3) is positive.

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সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || অফিসার (জেনারেল) (08-03-2024)

A. 23
B. 21
C. 19
D. None of these

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Answer: Option B

Explanation:

Hints: ( y - x) এর সর্বোচ্চ মান হবে y এর সর্বোচ্চ মান এবং x এর সর্বনিম্ন মানের বিয়োগফলের সমান।

সুতরাং, y - x = 13 - ( - 8) = 13 + 8 = 21

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2303 . If x and y are integers and k=32y+15, which of the following must be an odd integen

A. xy
B. x+y
C. x+2y
D. None of these

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Answer: Option C

Explanation:

Hints:

x = 32y + 15 এখানে y এর জোড় বা বিজোড় যাই হোক না কেন 32 y অবশ্যাই জোড়।

(32y + 15) অবশ্যাই বিজোড়

( x + 2y) অবশ্যাই একটি বিজোড় সংখ্যা

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2304 . If x and y are prime numbers, which of the following cannot be the sum of x and y?

A. 5
B. 9
C. 13
D. 23

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Answer: Option D

Explanation:

5=2+3, possible

9=7+2, possible

13=11+2, possible

So, only option left is 23 and it cannot be the sum of x and y.

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2305 . If x and y are two different real numbers and xz = yz then the value of z is?

A. x - y
B. y/x
C. x/y

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Answer: Option D

Explanation:

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বাংলাদেশ অর্থনৈতিক অঞ্চল কর্তৃপক্ষ (BEZA) | সহকারী ব্যবস্থাপক | ৩০.১১.২০১৮

A. -2
B. -3
C. 3
D. 2

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Answer: Option D

Explanation:

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

2307 . If x is a natural number and $S = \{x^{2} \geq 64 a n d x^{3} < 1000\}$ then s=?

A. $\{8, 9, 10\}$
B. $\{8, 9\}$
C. $\{9\}$
D. $\{4, 5, 6\}$

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Answer: Option B

Explanation:

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সমন্বিত ৮টি ব্যাংক ও ১টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার (16-05-2025)

A. 0.01%
B. 0.1%
C. 1%
D. 10%
E. None of these

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Answer: Option C

Explanation:

500% of x is 5x

5x/500x = 1/100

= 1%

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2309 . If x is an even number, what is the difference between the smallest even number greater than (5x + 6) and the largest even number less than (3x + 9)?

A. 2x
B. 2x-3
C. 7x+15
D. 2x+3

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Answer: Option A

Explanation:

এখানে (5x + 6) থেকে বড় সর্বনিম্ন জোড় সংখ্যা
= 5x + 6 + 2
= 5x + 8
এবং (3x + 9) থেকে ছোট সর্বোচ্চ জোড় সংখ্যা = 3x + 9 - 1
= 3x + 8 [যেহেতু (3x + 9) নিজেই বিজোড়]
এদের পার্থক্য = (5x + 8) - (3x + 8)
= 5 x + 8 - 3x - 8 = 2x

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2310 . If x is an integer, then which of the following is must be odd?

A. 2x + 2
B. 13x
C. x
D. 2x + 3

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Answer: Option D

Explanation:

Let, x=2

then, 2x+3=2×2+3=7 which is odd

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2296 . If x = 12, which of the following has the highest value?

2297 . If x = 12 which of the following has the least value?

2298 . If x = 2y = 3z = 36 then the arithmetic mean of x, y and z is:

2299 . if x = 2 and y = - 1 which of the following expression is the greatest?

2300 . If x = 4, then (x2 + x1/2) =?

2301 . If x > 2 and x < 3 then which of the following is positive? (1) (x - 2)(x - 3) (II) (2 - x)(x - 3) (III) (2 - x)(3 - x)

2302 . If x and y are integers and -9

2303 . If x and y are integers and k=32y+15, which of the following must be an odd integen

2304 . If x and y are prime numbers, which of the following cannot be the sum of x and y?

2305 . If x and y are two different real numbers and xz = yz then the value of z is?

2306 . If x and y arenegative integers and x-y=1, what is the least possible value for xy ?

2308 . If x is a positive number, 500% of x is what percent of 500x?

2309 . If x is an even number, what is the difference between the smallest even number greater than (5x + 6) and the largest even number less than (3x + 9)?

2310 . If x is an integer, then which of the following is must be odd?

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