subject-bank-job-math-5?page=22-BD-Merit-Freelancing,-BCS,-Bank,-Primary,-Admission,-NTRCA

316 . $9 - 12 x + a x^{2}$ একটি পূর্ণসংখ্যা হলে, a এর মান-

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

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Answer: Option A

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317 . যদি a+b+c =5 $a^{2} + b^{2} + c^{2} = 9$ হয়, তবে ab+bc+ca = কত?

A. 16
B. 8
C. 34
D. 12

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Answer: Option B

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318 . $x^{4} - 3 x - 2$ কে $x + 1$ দ্বারা ভাগ করলে ভাগশেষ কি হবে?

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

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Answer: Option B

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জনপ্রশাসন মন্ত্রণালয় ।। প্রশাসনিক কর্মকর্তা (23-06-2016)

319 . $a + b = 7, a b = 10$ হলে ${(a - b)}^{2} = ?$

A. 9
B. 19
C. 29
D. 39

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Answer: Option A

Explanation:

(a - b)² = (a + b)² - 4ab

= 7² - 4×10

= 49 - 40

= 9 .

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ডাক বিভাগের পোস্টাল অপারেটর-০৩.০৬.২০১৬

320 . $p^{2} + 7 p + c$ রাশিটি p-5 দ্বারা বিভাজ্য হলে c- এর মান কত হবে?

A. -60
B. 60
C. 30
D. -30

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Answer: Option A

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উপজেলা/থানা শিক্ষা অফিসার (25-06-2010)

321 . x>0 এর $x^{2} = 4 x$ হলে x এর মান কোনটি?

A. 4
B. 3
C. 2

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Answer: Option A

Explanation:

x^2= 4x

বা, x=4x/x

বা, x=4.

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322 . ${(8 x)}^{0} + 8 x^{0}$ এর মান নিচের কোনটি?

A. 8
B. 2
C. 16
D. 9

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Answer: Option D

Explanation:

We know that. a^0 = 1

So,

(8x)^o = 1

8x^0 = 8×1 = 8

1 + 8 = 9

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323 . What is factor of $x^{3} - 3 x^{2} + 4 x - 4 ?$

A. $(x - 2) (x^{2} - x + 2)$
B. $(x - 2) (x^{2} + x - 2)$
C. $(x - 2) (2 x^{2} - x + 4)$
D. $(x^{2} - 2) (x + 2 x + 4)$

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Answer: Option A

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324 . $x + y = 8, x y = = 15$ হলে

A. 4
B. 8
C. 9
D. 16

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Answer: Option D

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325 . x4=81 এবং x ধনাত্নক হলে x এর মান কত?

A. $\frac{81}{4}$
B. $\frac{4}{81}$
C. 7
D. 3

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Answer: Option D

Explanation:

x^{4} = 3^{4} \Rightarrow x = 3 এবং, y^{2} {=7}^{2} ⇒y=7 ∴ x + y = 3 + 7 = 10

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326 . $a^{3} - b^{3}, a^{3} + b^{3}$ এর গ.সা.গু কত?

A. (a-b)
B. 1
C. a+b
D. $a^{2} + a b + b^{2}$

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Answer: Option B

Explanation:

a^3 - b^3 = (a - b)(a^2 + ab + b^2)
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
H.C.F = 1.

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সুপারিনটেনডেন্ট ১৯.০৮.২০১৯

327 . What will be the result if $\frac{4 x + 20}{4}$ is subtracted from $(x + 10) ?$

A. 5
B. $x$
C. $\frac{x}{2}$
D. $2 - x$

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Answer: Option A

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328 . $x = a^{2} - 7 a + 6, y = a^{2} - 2 a + 1, z = a^{2} - 5 a + 4$ হলে x, y, z এর গ.সা.গু. কত?

A. $(a - 4)$
B. $(a - 1)$
C. $(a - 6)$
D. ${(a - 1)}^{2}$

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Answer: Option B

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329 . What is the value of a If $3 x^{2} + a x + a + 3$ divisible $x + 2$

A. 12
B. 13
C. 14
D. 15

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Answer: Option D

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330 . $x^{2} - y^{2}, x^{3} - y^{3}, x^{4} + x^{2} y^{2} + y^{4}$ রাশিগুলোর গ. সা.গু কত?

A. x+y
B. x -y
D. 1

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Answer: Option D

Explanation:

{১ম রাশি= x}^{2} {-y}^{2} = (x + y) (x - y) {২য় রাশি= x}^{3} {-y}^{3} = (x - y) (x^{2} + x y + y^{2}) {৩য় রাশি= x}^{4} {+x}^{2} y^{2} {+y}^{4} = {(x^{2})}^{2} {+2x}^{2} y^{2} + {(y^{2})}^{2} {-x}^{2} y^{2} = {(x^{2} + y^{2})}^{2} - {(xy)}^{2} = (x^{2} + y^{2} + x y) (x^{2} + y^{2} - x y) 1 ব্যাতীত কোনো সধারন উৎপাদক নেই। অতএব গ.সা.গু=1

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