2101 . If $x = - 3,$ then the value of $- 3^{2}$ is:

A. -27
B. -18
C. 27
D. 81

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Answer: Option A

Explanation:

নটিক্যাল মাইল. দৈর্ঘ্যের একটি একক যা সামুদ্রিক দিকনির্ণয়ে ব্যবহৃত হয় যা একটি গোলকের উপরে বৃহত্তম বৃত্তের এক মিনিট বৃত্তচাপের সমান। এক আন্তর্জাতিক নটিক্যাল মাইল 1,852 মিটারের অথবা 1.151 বিধিবদ্ধ মাইলের সমান। অনুগ্রহ করে মনে রাখবেন যে এটি ইউকে নটিক্যাল মাইল থেকে পৃথক।

Bangladesh Bank - Assistant Director - 2004

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

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Answer: Option A

Explanation:

এখানে বলা হয়েছে x = 10 হলে অপশন গুলার মধ্যে কোনটায় সর্বনিম্ন মান হবে...

এখন, x এর মান আমরা সবগুলায় বসায়ে দেখি,

1. 2 - x = 2 - 10 = - 8

2. x/2 = 10/2 = 5

3.2/x = 2/10 = 0.2

4. (2 - x) (2 - x) = (2 - 10)(2 - 10) = ( - 8) ( - 8) = 64

এখানে সর্বনিম্ন মান হচ্ছে (2 - x) এটাই সঠিক উত্তর |

Bangladesh Bank - Officer - 2001

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

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Answer: Option D

Explanation:

2 - x = 2 - 12 = - 10 [ সবচেয়ে ছোট মান ]

2/x = 2/12 = 0.16667

x/2 = 12 /2 = 6

x - 2 = 12 - 2 = 10

2104 . If x=2y =3z and xyz =36 , what is the value of z?

A. 2
B. root 2
C. root 3
D. 3
E. none of these

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Answer: Option A

Explanation:

x = 2y = 3z

∴ x = 3z;

y = 3z/2

So, xyz = 36

⇒ 3z.3z/2.z = 36

⇒ 9z³ = 72

⇒ z³ = 8

⇒ z³ = 2³

∴z = 2

2105 . If x=3 and (x-y)2=4, then y could be ----

A. -5
B. 1
D. 5

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Answer: Option B

Explanation:

দেওয়া আছে, x = 3

প্রদত্ত রাশি, (x - y)2 = 4

(3 - y)2 = 4 [ x এর মান বসিয়ে]

6 - 2y = 4

–2y = 4 - 6

- 2y = –2

y = –2/ - 2

y = 1

2106 . If x=80%, by what percent is x larger than x^2 ?

A. 8%
B. 16%
C. 25%
D. 80%

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Answer: Option B

Explanation:

x = 80%

x = 80/100 = 4/5….(i)

x2 = 16/25….(ii)

Required ℅ ={(i-ii)/ii}×100=25%

2107 . If x=y=2z and xyz= 256, then x = ?

A. 2
B. 4
C. 8
D. None of these

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Answer: Option C

Explanation:

x y z = 256 x . y . 2 z = 256 \times 2 x^{3} = 512 x = 8

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || অফিসার জেনারেল (10-03-2023)

A. y>0
B. y<0
C. y>x
D. none of these

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Answer: Option A

Explanation:

এখানে X এর মান 0 থেকে বড়। সুতরাং X এর চিহ্ন সবসময় পজেটিভ(+) হবে।

অন্যদিকে, দুইটি সংখ্যার যোগফল পজেটিভ(+) তখনই হবে, যখন দুইটি সংখ্যা উভয়ই পজেটিভ(+) হবে

যেহেতু X এর চিহ্ন পজেটিভ(+), সুতরাং Y এর চিহ্ন অবশ্যই পজেটিভ(+) হবে এবং Y এর মান 0 থেকে বড় হবে।

সেজন্য, Y>0

2109 . If x>2 then which of the following is true?

A. (x+2/x)<2
B. (x+2/x)>2
C. x-2=0
D. none of these

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Answer: Option A

Explanation:

Q. If x>2 then which of the following is true?

Here,
x is greater than 2.
so it can be 3 or 4 or 5 … etc.

Let, x = 3
Now test those options.

Option A: (x+2/x)<2 or 5/3 < 2 which is True
Option B: (x+2/x)>2 or 5/3 > 2 which is False
Option C: x-2=0 or 3-2 = 0 which is also a False

∴ Option A is the Correct Ans.

2110 . If x>5 and y<-1, which of the following statements is true

A. (x+4y)>1
B. x>-4y
C. -4x<5y
D. None of these

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Answer: Option D

Explanation:

x > 5 and y < -1, we can make the following conclusions:

x + y > 4: Since x is greater than 5 and y is less than -1, their sum will be greater than 4. Therefore, the statement "x + y > 4" is true.

x * y < -5: Since x is greater than 5 and y is less than -1, their product will be less than -5 (because a positive number multiplied by a negative number gives a negative result). Therefore, the statement "x * y < -5" is true.

Therefore, the true statement is "x + y > 4", and the statement "x * y < -5" is also true.

So , the correct Ans is None of these.

2111 . If x>y and y is a positive integer, which of the following cannot be true?

A. xy>0
B. x/y >0
C. y/x >1
D. x-y >0

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Answer: Option C

Explanation:

Here, x/y>1 and y is a positive integer.

For example, if x=3 and y=2 then 3/2>1

so y/x or, ⅔ can never be greater than 1

2112 . If x>y>1 and xy=z, which of the following is true?

A. y
B. y=z
C. z=1
D. none of these

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Answer: Option A

Explanation:

xy+z=xy+xz
z=xz
xz-z=0
z(x-1)=0

Means;
either z=0
OR
x-1=0 i.e. x=1

2113 . If xaxb = 1 and x ≠ 1 then a + b =?

B. -1
C. x
D. 1

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Answer: Option A

Explanation:

2114 . If xy>0 and x<0, which of the following must be negative?

A. -x
B. y
C. -y
D. (x-y)

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Answer: Option B

Explanation:

Here, x<0 or, x is negative.

Now, if y is positive, the multiply of x & y will be negative.

Therefore, xy>0 is possible only if y is negative or y<0. Then, xy = ( - ve) x ( - ve) = + ve >0.

2115 . If xy>0 and yz<0, Which of the followings must be negative :

A. xy2z
B. xyz2
C. xyz
D. None

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Answer: Option A

Explanation:

xy> 0 অর্থাৎ xy এর গুনফল ধনাত্নক সংখ্যা
yz<0 অর্থাৎ yz এর গুনফল ঋনাত্নক সংখ্যা

এখন, ধনাত্মক সংখ্যা× ঋণাত্মক সঙখ্যা = ঋণাত্মক সংখ্যা
xy×yz

অর্থাৎ<0xy>0

2102 . If x=10, which of the following has the minimum value ?

2103 . If x=12, which one has the least value ---

2104 . If x=2y =3z and xyz =36 , what is the value of z?

2105 . If x=3 and (x-y)2=4, then y could be ----

2106 . If x=80%, by what percent is x larger than x^2 ?

2107 . If x=y=2z and xyz= 256, then x = ?

2108 . If x>0 and x+y>0, which of the following must be true?

2109 . If x>2 then which of the following is true?

2110 . If x>5 and y<-1, which of the following statements is true

2111 . If x>y and y is a positive integer, which of the following cannot be true?

2112 . If x>y>1 and xy=z, which of the following is true?

2113 . If xaxb = 1 and x ≠ 1 then a + b =?

2114 . If xy>0 and x<0, which of the following must be negative?

2115 . If xy>0 and yz<0, Which of the followings must be negative :

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