2071 . 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

2072 . 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

2073 . 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.

2074 . 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:

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

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%

2076 . 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

2077 . 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

2078 . If x is an integer and y = 7x + 5, which o fthe following CANNOT be a divisor of y?

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।

2079 . If x is an integer and y=-2x-8 , what is the least value of x for which y is less than 9?

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:

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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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

2082 . 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]

2083 . 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

Explanation:

2084 . 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.

2085 . 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.

Bangladesh Bank - Officer(Cash) - 2016

2071 . If x and y are integers and -9

2072 . If x and y are integers and k=32y+15, which of the following must be an odd integen

2073 . If x and y are prime numbers, which of the following cannot be the sum of x and y?

2074 . If x and y are two different real numbers and xz = yz then the value of z is?

2075 . If x is a positive number, 500% of x is what percent of 500x?

2076 . 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)?

2077 . If x is an integer, then which of the following is must be odd?

2078 . If x is an integer and y = 7x + 5, which o fthe following CANNOT be a divisor of y?

2079 . If x is an integer and y=-2x-8 , what is the least value of x for which y is less than 9?

2080 . if x is an integer and y=-2x-8 what is the least value of x for which y is less than 9

2081 . If x is an odd integer, which of the following must be an even integer?

2082 . 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

2083 . 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

2084 . 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.

2085 . If X is brother of son of Y's son, then how is X related to Y ?

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