2296 . If x and y are integers and -9

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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2297 . 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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2298 . 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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2299 . 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

2301 . 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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2303 . 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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2304 . 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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2305 . If x is an integer, then which of the following statements about $x^{2} - x - 1$ is true?

A. It is always odd.
B. It is always even.
C. It is always positive.
D. It is even when x is even and odd when x is odd.

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Answer: Option A

Explanation:

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Janata Bank PLC || Officer (Rural Credit) (27-10-2023) || 2023

A. 10
B. 11
C. 12
D. 14

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Answer: Option D

Explanation:

এখানে, y = 7x + 5 যেখানে x একটি পূর্ণসংখ্যা এখন,

x =1 হলে y =12 যা 12 দ্বারা বিভাজ্য

x= 2 হলে y =19

x=3 হলে y=26

x=4 হলে y=33 যা 11 দ্বারা বিভাজ্য

x=5 হলে y=40 যা 10 দ্বারা বিভাজ্য

যেহেতু ১৪ দ্বারা কোন সংখ্যাই বিভাজ্য নয়, সেহেতু 14 উত্তর হবে।

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First Security Islami Bank Ltd | Probationary Officer | 19-02-2021

A. -9
B. -8
C. -7
D. -6

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Answer: Option B

Explanation:

To find the least value of x for which y is less than 9, we can solve the inequality:

y < 9

Given that y = -2x - 8, we can substitute this expression into the inequality:

-2x - 8 < 9

Now, let's solve for x:

-2x - 8 < 9

First, add 8 to both sides of the inequality:

-2x - 8 + 8 < 9 + 8

-2x < 17

Next, divide both sides by -2. Remember that when dividing by a negative number, the inequality sign flips:

x > -17/2

Now, we want to find the least integer value of x that satisfies this inequality. Since x is an integer, we round up to the nearest integer:

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. -9
B. -8
C. -7
D. -6

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Answer: Option B

Explanation:

To find the least value of x for which y is less than 9, we can solve the inequality:

y < 9

Given that y = -2x - 8, we can substitute this expression into the inequality:

-2x - 8 < 9

Now, let's solve for x:

-2x - 8 < 9

First, add 8 to both sides of the inequality:

-2x - 8 + 8 < 9 + 8

-2x < 17

Next, divide both sides by -2. Remember that when dividing by a negative number, the inequality sign flips:

x > -17/2

Now, we want to find the least integer value of x that satisfies this inequality. Since x is an integer, we round up to the nearest integer:

x > -17/2 rounded up to the nearest integer is -8

So, the least integer value of x for which y is less than 9 is -8. Therefore, the answer is -8.

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Sonali Bank Ltd. Senior Officer Recruitment 01.06.2018

A. 2x-1
B. (x-1)/2
C. 5x+1
D. x-2

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Answer: Option C

Explanation:

let, x is an odd integer i.e. x=1,3,5,…

now if x=1, 5x+1=5*+1=6 is an even integer

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2310 . If x is an odd integer and y an even integer which of the following statements is (are) alwayes true? 1. x+y is odd 2. xy is odd 3. 2x+y is even

A. 1 only
B. 2 and 3 only
C. 3 only
D. 1 and 3 only

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Answer: Option D

Explanation:

We know,

odd+even=odd [i is correct]

odd×even=even [ii is incorrect]

2×(odd)+even=even [iii is correct]

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2296 . If x and y are integers and -9

2297 . If x and y are integers and k=32y+15, which of the following must be an odd integen

2298 . If x and y are prime numbers, which of the following cannot be the sum of x and y?

2299 . If x and y are two different real numbers and xz = yz then the value of z is?

2300 . If x and y arenegative integers and x-y=1, what is the least possible value for xy ?

2302 . If x is a positive number, 500% of x is what percent of 500x?

2303 . 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)?

2304 . If x is an integer, then which of the following is must be odd?

2306 . If x is an integer and y = 7x + 5, which o fthe following CANNOT be a divisor of y?

2307 . If x is an integer and y=-2x-8 , what is the least value of x for which y is less than 9?

2308 . if x is an integer and y=-2x-8 what is the least value of x for which y is less than 9

2309 . If x is an odd integer, which of the following must be an even integer?

2310 . If x is an odd integer and y an even integer which of the following statements is (are) alwayes true? 1. x+y is odd 2. xy is odd 3. 2x+y is even

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