subject bank job math 5BD Merit - Freelancing, BCS, Bank, Primary, Admission, NTRCA

616 . $p^{2} + 7 p + c$ 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)

617 . 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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618 . ${(8 x)}^{0} + 8 x^{0}$ 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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619 . 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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620 . $x + y = 8, x y = = 15$ হলে

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

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Answer: Option D

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621 . 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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622 . $a^{3} - b^{3}, a^{3} + b^{3}$ 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

623 . 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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624 . $x = a^{2} - 7 a + 6, y = a^{2} - 2 a + 1, z = a^{2} - 5 a + 4$ 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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625 . 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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626 . $x^{2} - y^{2}, x^{3} - y^{3}, x^{4} + x^{2} y^{2} + y^{4}$ 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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627 . $x^{2} - 3 x, x^{2} - 9$ এবং $x^{2} - 4 x + 3$ বীজগাণিতীক রাশির গ. সা.গু কত হবে?

A. x-4
B. x + 3
C. x -3
D. x -1

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Answer: Option C

Explanation:

a² - 3a = a ( a - 3) a² - 9 = a² - 3² = (a+3) (a-3) a² - 4a + 3 = a² - 3a - a + 3 = a (a-3) - 1 (a-3) = (a-3) (a-1) নির্ণেয় গ.সা.গু = (a-3)

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১৬ তম বেসরকারি প্রভাষক নিবন্ধন পরীক্ষা (30-08-2019)

628 . If a+b =8 and ab =15, what is the value of $a^{2} + b^{2} ?$

A. 94
B. 79
C. 34
D. 30

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Answer: Option C

Explanation:

আমরা জানি, {(a + b)}^{2} = a^{2} + 2 a b + b^{2} \Rightarrow {(8)}^{2} = a^{2} + b^{2} + 2 a b \Rightarrow 64 = a^{2} + b^{2} + (2 \times 15) \Rightarrow a^{2} + b^{2} + (2 \times 15) = 64 \Rightarrow a^{2} + b^{2} = 64 - 30 = 34

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629 . If x +y = 1/a and x-y =a then the value of $x^{2} - y^{2}$ is:

A. 4
C. 1
D. $a^{2}$

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Answer: Option C

Explanation:

দেওয়া আছে, x + y = \frac{1}{a} এবং x-y=a {এখন, x}^{2} {-y}^{2} = (x + y) (x - y) = \frac{1}{a} ×a=1

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630 . If $x + y = 7$ and $x^{2} + y^{2} = 25,$ then which one of the following equals the value of $x^{3} + y^{3} ?$

A. 7
B. 25
C. 65
D. 91

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Answer: Option D

Explanation:

দেওয়া আছে, x + y = 7 x^{2} + y^{2} = 25 \Rightarrow {(x + y)}^{2} - 2 x y = 25 \Rightarrow 7^{2} - 25 = 2 x y \Rightarrow 2 x y = 49 - 25 \Rightarrow x y = \frac{24}{2} = 12 x^{3} + y^{3} = {(x + y)}^{3} - 3 x y (x + y) = 7^{3} - 3 \times 12 \times 7 = 343 - 252 = 91

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