7426 . নিচের কোনটি সবচেয়ে বড় সংখ্যা ?

A. ০.২
B. √ ০ . ২
C. √ ০ . ৩
D. ০.৩

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Answer: Option C

Explanation:

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সহকারী উপজেলা/থানা শিক্ষা অফিসার (মুক্তিযোদ্ধা ও ক্ষুদ্র নৃ-গোষ্ঠী কোটা) (21-08-2015)

A. 1/ 5
B. 1 /7
C. 1 /6
D. 1/ 4

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Answer: Option C

Explanation:

x + \frac{1}{x} = 5 \Rightarrow x^{2} + 1 = 5 x .' . \frac{x}{x^{2} + x + 1} = \frac{x}{x^{2} + 1 + x} = \frac{x}{5 x + x} = \frac{x}{6 x} = \frac{1}{6}

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7428 . 8 3/4 ÷ 8 1/ 2 এর মান কত?

A. 3 √ 4
B. 4 √ 8
C. 4 √ 3
D. 3 √ 16

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Answer: Option C

Explanation:

8^{\frac{3}{4}} \div 8^{\frac{1}{2}} = 8^{\frac{3}{4} - \frac{1}{2}} = 8^{\frac{3 - 2}{4}} = 8^{\frac{1}{4}} = \sqrt[4]{8}

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7429 . $x^{2} + y^{2} = 25$ এবং xy = 12 হলে x + y = ?

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

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Answer: Option B

Explanation:

দেওয়া আছে - x^{2} + y^{2} = 25 এবং xy = 12 {(x + y)}^{2} = x^{2} + 2 xy + y^{2} = x^{2} + y^{2} + 2 xy = 25 + 2.12 = 25 + 24 {(x + y)}^{2} = 49 x + y = 7

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7430 . $\frac{3}{x} + \frac{4}{x + 1} = 2$ হলে x এর মান কত?

A. 2
B. 4
C. 1
D. 3

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Answer: Option D

Explanation:

3/x + 4/(x + 1) = 2

= > {3(x + 1) + 4x }/x(x + 1) = 2

= > {3x + 3 + 4x} = 2 (x2 + x)

= > 7x + 3 = 2x2 + 2x

= > 2x2 - 5x - 3 = 0

= > 2x2 - 6x + x - 3 = 0

= > 2x(x - 3) + 1(x - 3) = 0

= > (2x + 1) (x - 3) = 0

if,

x - 3 = 0

= > x = 3

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7431 . (a + b) = 4 হলে ${(a + b)}^{3}$ কত?

A. 16
B. 64
C. 12
D. 24

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Answer: Option B

Explanation:

Given data, a + b = 4 Then, {(a + b)}^{3} = 4^{3} = 4 \times 4 \times 4 = 64

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7432 . (x+3) (x-3) কে $x^{2} - 6$ দিয়ে ভাগ করলে ভাগশেষ কত?

A. -3
B. -6
C. 6
D. 3

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Answer: Option A

Explanation:

(x + 3) - (x - 3) = x^{2} - 3 x + 3 x - 9 = x^{2} - 9 = 6 - 9 = - 3

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7433 . $\frac{2 x + 2 y + x^{2} - y^{2}}{x + y} = ?$

A. $\frac{x - y}{x + y}$
B. $\frac{{(x - y)}^{2}}{x + y}$
C. x-y+2
D. 2(x-y)

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Answer: Option C

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7434 . F(x)= ${(x - 1)}^{2}$ হলে, F(5) = কত?

A. ৩৬
B. ১৬
C. ৩৫
D. ২৮

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Answer: Option B

Explanation:

F(x) = (x - 1)^2

F(5) = (5 - 1)^2

.... = 4^2

= 16

Answer :16.

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7435 . If x/y =1/3, then value of $(x^{2} + y^{2}) / (x^{2} - y^{2})$ is-

A. -10/9
B. 5/4
C. -5/4
D. -5/3

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Answer: Option C

Explanation:

\frac{x}{y} = \frac{1}{3} \frac{x^{2}}{y^{2}} = \frac{1}{9} \frac{x^{2} + y^{2}}{x^{2} - y^{2}} = \frac{1 + 9}{1 - 9} = \frac{10}{- 8} = - \frac{5}{4}

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7436 . $10^{2}$ is how many times of ${(0.01)}^{3} ?$

A. $10^{5}$
B. $10^{6}$
C. $10^{7}$
D. $10^{8}$

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Answer: Option D

Explanation:

Let, 10^2 is X times of (0.01)^3

So, 10^2 = X × (0.01)^3

Or, 10^2 = X × (10^-2)^3

Or, X = 10^2/10^-6

Or, X = 10^2-(-6)

Or, X = 10^8

And the answer is 10^8.

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7437 . a+b=3 এবং ab=2 হলে, $a^{3} + b^{3}$ এর মান নির্ণয় কর?

A. 9
B. 27
C. 18
D. 12

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Answer: Option A

Explanation:

a^{3} + b^{3} = {(a + b)}^{3} - 3 a b (a + b) = 3^{3} - 3.2 . (3) = 27 - 18 9

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গ্রামীণ ব্যাংক || শিক্ষানবিশ কেন্দ্র ব্যবস্থাপক (22-02-2025) || 2025

7438 . $(a - 5) (a + x) = a^{2} - 25$ হলে x এর মান কত?

A. 5
B. 6
C. 7
D. 8

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Answer: Option A

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7439 . 9 দিয়ে বিভাজ্য 3 অঙ্কবিশিষ্ট একটি সংখ্যার প্রথম অঙ্ক 3, তৃতীয় অঙ্ক 8 হলে মধ্যম অঙ্কটি কত?

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

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Answer: Option B

Explanation:

9 দিয়ে বিভাজ্য সংখ্যাটি
অবশ্যই 3 দ্বারা বিভাজ্য এখন,
3 + 6 + 8 = 17
যা 3 দ্বারা বিভাজ্য নয়
3 + 7 + 8 = 18
যা 3 দ্বারা বিভাজ্য
3 + 9 + 8 = 20
3 " " "
∴ মধ্যম অঙ্কটি 7

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প্রাথমিক ও গণশিক্ষা মন্ত্রণালয়ের সহকারী উপজেলা /থানা শিক্ষা অফিসার (29-04-2016)

7440 . $4^{x} = 8$ হলে x, এর মান কত?

A. 2/3
B. 3/2
C. 4/3
D. 3/4

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Answer: Option B

Explanation:

দেওয়া আছে, 4^{x} = 8 বা, {(2^{2})}^{x} = 2^{3} বা, 2^{x} = 2^{3} বা, 2 x = 3 বা, x = 3 / 2

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7426 . নিচের কোনটি সবচেয়ে বড় সংখ্যা ?

7427 . যদি x + 1/x = 5 হয়, তবে x/x2 + x + 1 এর মান কত?

7428 . 8 3/4 ÷ 8 1/ 2 এর মান কত?

7439 . 9 দিয়ে বিভাজ্য 3 অঙ্কবিশিষ্ট একটি সংখ্যার প্রথম অঙ্ক 3, তৃতীয় অঙ্ক 8 হলে মধ্যম অঙ্কটি কত?

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