subject-bank-job-math-5?page=36-BD-Merit-Freelancing,-BCS,-Bank,-Primary,-Admission,-NTRCA

526 . $16 x^{2} - 8 x + 9 = 0$ সমীকরণটির মূলদ্বয়ের যোগফল কত?

A. $\frac{3}{4}$
B. $\frac{1}{2}$
C. 144
D. $\frac{9}{16}$

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Answer: Option B

Explanation:

a x^{2} + b x + c = 0 সমীকরণের মূলের যোগফল= \frac{- b}{a} {16x}^{2} -8x+9=0 সমীকরণের মূলের যোগফল= \frac{- 8}{16} = \frac{1}{2}

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গণপূর্ত অধিদপ্তর | উপ-সহকারী প্রকৌশলী ও ড্রাফটম্যান/ সিভিল | ২৫.০১.২০১৮

527 . a এর মান কত হলে $9 - 12 x + a x^{2}$ রাশিটি একটি পূর্ণবর্গ হবে?

A. 8
B. 6
C. 1
D. 4

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Answer: Option D

Explanation:

9 - 12 x + a x^{2} = 32 - 2.3.2 x + a x^{2} রাশিমালা হতে স্পষ্ট a x^{2} = {(2 x)}^{2} হলে রাশিটি পূর্ণ বর্গ হবে। \Rightarrow a x^{2} = 4 x^{2} ∴ a = 4

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528 . a=5 হলে $a^{3} - 3 a^{2} - 1$ এর মান কত?

A. 124
B. 126
C. 64
D. 216

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Answer: Option C

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প্রতিরক্ষা মন্ত্রণালয়ের মিলিটারি ইঞ্জিনিয়ার সার্ভিসেস | স্টোরম্যান | ১৮.০৫.২০১৮

529 . $x y + 2 a y + 3 a x + 6 a^{2} = ?$

A. x(x+a)(y+3a)
B. (x+7a)(y+3a)
C. (x+5a)(y+3a)
D. (x+2a)(y+3a)

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Answer: Option D

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মৎস্য অধিদপ্তর নিয়োগ পরীক্ষা-২০১৮ | হিসাবরক্ষক

530 . $x^{2} + y^{2} + z^{2} = 2, x + y + z = 2$ হলে $(x y + x y + z x)$ এর মান কত?

B. 1
C. 2
D. 3

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Answer: Option C

Explanation:

{(x + y + z)}^{2} = (x^{2} + y^{2} + z^{2}) + 2 (x y + y z + z x) = 2 (x y + y z + z x) = {(x + y + z)}^{2} - (x^{2} + y^{2} + z^{2}) = 2^{2} - 2 = 2

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বিভিন্ন মন্ত্রণালয় | বিভাগ | অধিদপ্তর | প্রশাসনিক কর্মকর্তা | ০৫.০৩.২০১৮

531 . $a - \frac{1}{a} = 3$ হলে $a^{3} - \frac{1}{a^{3}}$ এর মান কত?

A. ৯
B. ১৮
C. ২৭
D. ৩৬

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Answer: Option D

Explanation:

a³ - (1/a)³ = {a - (1/a)}³ + 3.a.(1/a){a - (1/a)}

= 3³ + 3×3

= 27 + 9

= 36.

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প্রাথমিক বিদ্যালয় প্রধান শিক্ষক নিয়োগ পরীক্ষা-2009-(শিউলী-06) (09-09-2009)

532 . X+Y=6 এবং XY=6 হলে, ${(X - Y)}^{2}$ এর মান কত ?

A. -12
B. 12
C. 8
D. 10

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Answer: Option B

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533 . x2-4x-1=0 হলে , $x - \frac{1}{x}$ এর মান কত?

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

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Answer: Option A

Explanation:

x^{2} - 4 x - 1 = 0 \Rightarrow x^{2} - 1 = 4 x \Rightarrow x - \frac{1}{x} = 4

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534 . $x^{2} + y^{2} = x y$ হলে, ${(x + y)}^{4}$ এর মান কত?

A. $x^{2} y^{2}$
B. xy
C. ${(x^{2} + y^{2})}^{2}$
D. $9 x^{2} y^{2}$

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Answer: Option D

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পররাষ্ট্র মন্ত্রণালয় ব্যক্তিগত কর্মকর্তা ২৭.০৯.২০১৯

535 . $2 x + \frac{2}{y} = 4$ হলে x এর মান কত?

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

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Answer: Option B

Explanation:

There is wrong on this question.write question will be 2X + (2/X) = 4.As here only given one equation thats why unknown parameter must be 1.Then what will be the value of X = ? if we put X = 1,then LHS = 4 & RHS = 4 Ans:1

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বাংলাদেশ পাবলিক সার্ভিস কমিশন -২০১৯ পদের নাম : বিভিন্ন মিন্ত্রণালয়ের প্রশাসনিক কর্মকর্তা ( ১৬-০৯-২০১৯)

536 . $a^{2} - 6 a + 1 = 0$ হলে $a + \frac{1}{a} = ?$

A. $\sqrt{3}$
B. $3 \sqrt{3}$
C. 6
D. 9

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Answer: Option C

Explanation:

দেওয়া আছে, a^{2} -6a+1=0 \Rightarrow a^{2} + 1 = 6 a \Rightarrow \frac{a^{2} + 1}{a} = \frac{6 a}{a} \Rightarrow \frac{a^{2}}{a} + \frac{1}{a} = 6 \Rightarrow a + \frac{1}{a} = 6

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537 . $x^{y} = y^{x}, x = 2 y (x \neq 0, y \neq 0)$ হলে,(x,y) = কত?

A. (8,4)
B. ( 6,3)
C. (2,1)
D. (4,2)

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Answer: Option D

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538 . ${(x^{2})}^{3}$ কে $x^{3}$ দ্বারা গুণ করলে কত হবে?

A. $x^{9}$
B. $x^{18}$
C. $x^{27}$
D. $x^{24}$

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Answer: Option A

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539 . $a^{5} . a . a^{- 6}$ = কত?

A. a
B. $a^{2}$
D. 1

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Answer: Option D

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540 . $\frac{x}{a} + a = \frac{x}{b} + b$ হলে ,x এর মান কত ?

A. ab
B. a
C. b
D. a/b

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Answer: Option A

Explanation:

\frac{x}{a} + a = \frac{x}{b} + b \Rightarrow \frac{x}{a} - \frac{x}{b} = b - a \Rightarrow \frac{b x - a x}{a b} = b - a \Rightarrow \frac{x (b - a)}{a b} = b - a \Rightarrow x = \frac{a b (b - a)}{(b - a)} ∴ x = a b

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