376 . |x-4| = 2 এর সমাধান হবে

A. x = 3, 6
B. 6, -2
C. 2, 6
D. -2, -6

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Answer: Option C

Explanation:

|x - 4| = 2

x - 4 = + - 2 [ মডুলাস উঠায় নিলে + - হয় ]

x - 4 = + 2

বা, x = + 2 + 4

x = 6

আবার, x - 4 = - 2

বা, x = - 2 + 4

x = 2

অতএব, x = 2, 6

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

377 . $x + y = 5, x + 4 y = 4,$ what is the value of $4 x^{2} + 16 y^{2} ?$

A. 60
B. 40
C. 20
D. 80

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Answer: Option D

Explanation:

দেওয়া আছে, x + y = 5 x + 4 y = 4 . : 4 x^{2} + 20 xy + 16 y^{2} = 4 x^{2} + 4 xy + 16 xy + 16 y^{2} = 4 x (x + y) + 16 y (x + y) = (x + y) (4 x + 16 y) = 4 (x + y) (x + 4 y) = 4.5.4 = 80

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378 . (x-2)(x-3)<0 এর সমাধান সেট কত?

A. x>2
B. x<3
C. 2
D. কোনোটিই নয়

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Answer: Option C

Explanation:

(x - 2)(x - 3)<0

হয়,x - 2 = 0 অথবা, x - 3 = 0

বা,x = 2 বা,x = 3

এখন, ছোট মান

সুতরাং, 2

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

A. (1, 1)
B. (3, 4)
C. (-1, 1)
D. (2, -1)

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Answer: Option C

Explanation:

2x + 3y = 1.............. (i)

5x–2y + 7 = 0

Or, 5x - 2y = - 7......... (ii)

(i)×5 - (ii)×2

15у + 4y = 5 + 14

Or, 19y = 19

y = 1

5x - 2×1 = - 7

Or, 5x = - 7 + 2

Or, 5x = - 5

x = - 1

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

380 . $\frac{x}{2} + 3 = \frac{x}{3} + 4$ সমীকরণে x-এর মান কত?

A. 6
B. 7
C. -6
D. -7

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Answer: Option A

Explanation:

=> (x/2-x/3)=4-3

=>x/6=1

X= 6.

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381 . 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

Explanation:

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382 . 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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383 . |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)

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

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

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Answer: Option A

Explanation:

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385 . $x = 2$ 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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386 . 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

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

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

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Answer: Option A

Explanation:

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388 . 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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389 . 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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390 . $\frac{2 x + 2 y + x^{2} - y^{2}}{x + y} = ?$

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

Explanation:

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376 . |x-4| = 2 এর সমাধান হবে

378 . (x-2)(x-3)<0 এর সমাধান সেট কত?

379 . 2x + 3y = 1 এবং 5x - 2y + 7 = 0 সমীকরণদ্বয়ের সমাধান কত?

383 . |2x-3| <7 এর সমাধান কত?

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