2341 . If $x = 2,$ then the value of $x^{3} + 27 x^{2} + 243 x + 631$ is-

A. $1211$
B. $1231$
C. $1221$
D. $1233$

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Answer: Option D

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2342 . 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

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2343 . 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

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2344 . If $x = 5$ what is the value of $(x^{7} \div x^{5} \times x^{2}) ?$

A. $5$
B. $25$
C. $625$
D. $50$

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Answer: Option C

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Bangladesh Bank - Assistant Director - 2011

2345 . If $x = 7 - 4 \sqrt{3}$ the find value of $(x + \frac{1}{x}) ?$

A. $3 \sqrt{3}$
B. $8 \sqrt{3}$
C. $14$
D. $14 + 8 \sqrt{3}$

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Answer: Option C

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

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%

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2347 . 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

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NRBC Bank PLC || Trainee Assistant Officer (TAO) (26-10-2024) || 2024

2348 . If $x = y^{a},$ $y = z^{b}$ then abc is

A. $1$
B. $0$
C. $\frac{1}{2}$
D. Infinity

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Answer: Option A

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Assistant Director (General) 06.07.18

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

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2350 . If x>0 and $\sqrt{(y / x)} = x,$ then what is the value of y in terms of x?

A. $\frac{1}{x}$
B. $\sqrt{x}$
C. $x \sqrt{x}$
D. $x^{3}$

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Answer: Option D

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Bangladesh Bank - Assistant Director - 2010

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.

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2352 . 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.

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2353 . If $x > y$ and $w < x$ , which of the following is always true?

A. $z > w$
B. $y > w$
C. $y = w$
D. $z < x$
E. $x < 2$

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Answer: Option D

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Bangladesh Bank - Officer(Cash) - 2011

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

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2355 . 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

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2342 . If x=2y =3z and xyz =36 , what is the value of z?

2343 . If x=3 and (x-y)2=4, then y could be ----

2346 . If x=80%, by what percent is x larger than x^2 ?

2347 . If x=y=2z and xyz= 256, then x = ?

2349 . If x>0 and x+y>0, which of the following must be true?

2351 . If x>2 then which of the following is true?

2352 . If x>5 and y<-1, which of the following statements is true

2354 . If x>y and y is a positive integer, which of the following cannot be true?

2355 . If x>y>1 and xy=z, which of the following is true?

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