676 . x এর মান কত হলে $\frac{x - 3}{3}$ এর মান শূন্য হবে?

B. 3
C. -3
D. √3

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Answer: Option B

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677 . x+y=2 $x^{2} + y^{2} = 4 x^{3} + y^{3}$ এর মান নির্ণয় করুন।

A. 6
B. 7
C. 8
D. 10

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Answer: Option C

Explanation:

আপনি বর্গের একটি সূত্র জানেন,

(x + y) 2 = x 2 + 2xy + y 2

মান বসানঃ

22 = 4 + 2xy

xy = 0

এখন

x3 + y3 এর মান বের করতে হবে।

আমরা কিউবের সূত্র জানিঃ

(x + y)3 = x3 + y3 + 3xy(x + y)

মান বসানঃ

(2)3 = x3 + y3 + 3x0x2

8 = x3 + y3 ans.

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678 . |2x-3| <7 এর সমাধান কত?

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

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Answer: Option B

Explanation:

2x - 3। < 7

or, - 7 < 2x - 3 < 7

or, - 7 + 3 < 2x - 3 + 3 < 7 + 3

or, - 4 < 2x < 10

or, - 2 < x < 5

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সহকারী উপজেলা/থানা শিক্ষা অফিসার (24-12-2010)

679 . $x + y = 12$ এবং $x y = 60$ হলে ${(x - y)}^{2} =$ = কত?

A. 7
B. 8
C. 9
D. 10

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Answer: Option A

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680 . $x = 2$ হলে $3^{x} + {(x^{3})}^{2} = ?$

A. 72
B. 73
C. 74
D. 75

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Answer: Option B

Explanation:

এখানে দেওয়া আছে, 3 x + {(x^{3})}^{2} = 3^{2} + {(2^{3})}^{2} = 9 + 8^{2} = 9 + 64 = 73

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681 . a+b=3 এবং ab=2 হলে, $a^{2} + b^{2}$ এর মান কত?

A. 27
B. 18
C. 9
D. 5

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Answer: Option D

Explanation:

দেওয়া আছে, a + b = 3 এবং ab = 2 আমরা জানি, a^{2} + b^{2} = {(a + b)}^{2} - 2 ab = 3^{2} - 2 \times 2 = 9 - 4 = 5

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ঔষধ প্রশাসন অধিদপ্তর | অফিস সহায়ক | 13-05-2022

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

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

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Answer: Option A

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683 . 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

684 . 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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685 . $\frac{2 x + 2 y + x^{2} - y^{2}}{x + y} = ?$

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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686 . (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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687 . (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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688 . $x^{2} + y^{2} = 25$ 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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689 . If $8^{2 x + 3} = 2^{2 x + 6},$ then x=?

A. -3
B. -1
C. 8
D. None of these

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Answer: Option D

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690 . x + y =2 এবং y = 3x - 2 হলে, x ও y এর মান হবে যথাক্রমে-

A. 1, 1
B. 1, 2
C. 2, 2
D. 2, 1

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Answer: Option A

Explanation:

x + y = 2

বা, x + 3x - 2 = 2

বা, 4x = 2 + 2

বা, x = 4/4

x = 1

আবার,

y = 3x - 2

বা, y = 3 *1 - 2

বা, y = 3 - 2

সুতরাং y = 1

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প্রাথমিক বিদ্যালয় প্রধান শিক্ষক নিয়োগ পরীক্ষা-2008-(চট্রগ্রাম বিভাগ-02) (16-04-2008)

678 . |2x-3| <7 এর সমাধান কত?

690 . x + y =2 এবং y = 3x - 2 হলে, x ও y এর মান হবে যথাক্রমে-

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