1006 . If f is a function defined from R is given by f (x) = 3x -5, then $f^{- 1} (x)$ is given by :

A. 1/(3x-5)
B. (x +5)/3
C. does not exist since it is not a bisection
D. (3x + 5)/3

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Answer: Option B

Explanation:

Assit. Programmer | Sonali Bank- Rubali Bank- BD Krishi Bank - 16.11.2018

1007 . An n x a array v is defined as follows : v [i,j] = i.j for all i. j 1 < = i < = n ,i < j =n.

A. $0$
B. $n - 1$
C. $n^{2} - 3 n + 2$
D. $n^{2} (n + 1) / 2$

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Answer: Option A

Explanation:

Sonali &amp-Janata Bank | Officer (IT)| 04.01.2019

1008 . $x^{2} - 3 x - 2$ কে x +1 দ্বারা ভাগ করলে ভাগশেষ কি হবে?

B. 2
C. 6
D. 4

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Answer: Option B

Explanation:

দেওয়া আছে, x^{2} - 3 x - 2 ধরি, x + 1 = 0, x = - 1 অতয়াব, x^{2} - 3 x - 2 = {(- 1)}^{2} - 3 (- 1) - 2 = 1 + 3 - 2 = 4 - 2 = 2

1009 . ${\log_{10}}^{x} = 2$ হলে x এর মান কত হবে?

A. 0.01
B. 0.001
C. 0.02
D. 0.002

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Answer: Option A

Explanation:

\log_{10} x = - 2 = > x = 10^{- 2} = > x = 1 / 100 ∴ x = 0.01

1010 . চতুর্ভুজের চার কোণের অনুপাত ১: ২: ২:৩ হলে কোণের পরিমাণ হবে

A. ৯০°
B. ৪৫°
C. ৫৬°
D. ৩৪°

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Answer: Option B

Explanation:

১১ তম বিজেএস (সহকারী জজ) প্রাথমিক পরীক্ষা (28-04-2017)

1011 . $x + y = 8, x y = = 15$ হলে ${(x - y)}^{4} = ?$

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

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Answer: Option D

Explanation:

আমরা জানি,
(x – y)² = (x + y)² - 4xy
= (8)² - 4×15
= 64 - 60 = 4
∴ x - y = 2
∴(x + y) + (x - y) = 8 + 2
= > 2x = 10
∴ x = 5
∴y = 8 - 5 = 3
সুতরাং, (x - y)⁴ = (5 - 3)⁴ = 24 = 16.

1012 . If a+b =8 and ab =12 then find the value of $a^{2} - b^{2}$

A. 16
B. 32
C. 36
D. 49

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Answer: Option B

Explanation:

1013 . Find the value of x if $\log_{x} 324 = 4$

A. $2 \sqrt{3}$
B. $3 \sqrt{2}$
C. $\sqrt{6}$
D. $6$

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Answer: Option B

Explanation:

\log_{x} 324 = 4 \to x^{4} = 324 \to x^{4} = 81 \times 4 \to x^{4} = 3^{4} \times {(\sqrt{2})}^{4} \to x^{4} = {(3 \sqrt{2})}^{4} = x = 3 \sqrt{2}

1014 . $4 x^{2} - 23 x + 33$ কে উৎপাদকে বিশ্লেষণ করুন?

A. (x-3)(4x-11)
B. (4x-3)(x-11)
C. (2x-3)(2x-11)
D. (4x-3)(x-11)

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Answer: Option A

Explanation:

1015 . $x - y = 10$ এবং $x^{3} - y^{3} = 1900$ হলে xy= কত?

A. 20
B. 30
C. 40
D. 50

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Answer: Option B

Explanation:

x - y = 10 x^{3} - y^{3} = 1900 x y = ? x^{3} - y^{3} = {(x - y)}^{3} + 3 x y (x - y) 1900 = {(10)}^{3} + 3 x y . 10 1000 + 30 x y = 1900 30 x y = 1900 - 1000 30 x y = 900 x y = \frac{900}{30} x y = 30

1016 . a=1. b=2, c=3 হলে $a^{2} + 2 a b - c$

A. 1
B. 2
C. 4
D. 6

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Answer: Option B

Explanation:

1017 . $\tan θ = \sqrt{8}$ হলে $\sec θ =$ কত?

A. $\sqrt{8}$
B. $3$
C. $\sqrt{3}$
D. $8$

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Answer: Option B

Explanation:

s e c^{2} θ = 1 + \tan^{2} θ = 1 + {(\sqrt{8})}^{2} = 1 + 8 s e c^{2} θ = 9 s o, s e c θ = 3

1018 . $\sqrt{3 x - 6} + 5 = 2$ সমীকরণের সমাধান কোনটি?

A. (5, -5)
B. [5]
C. [ ]
D. {-5}

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Answer: Option B

Explanation:

√(3x-6)+5=2

=>√(3x-6)=2-5

=>√(3x-6)=-3

=>{√(3x-6)}² =(-3)²

=>3x-6=9

=>3x=9+6

=>3x=15

=>x=15÷3

. • . X= 5.

1019 . $\log_{24} \sqrt{3} =$ কত?

A. 1/2
B. 1/3
C. 1/6
D. 1/9

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Answer: Option C

Explanation:

\log_{24} \sqrt{3} = 1 / 6

1020 . $a^{2} - a - 56$ হলে a এর মান কত?

A. 7, -8
B. 8, -7
C. 5, -6
D. 14, -4

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Answer: Option B

Explanation:

a^{2} - a - 56 = 0 \Rightarrow a^{2} - 8 a + 7 a - 56 = 0 \Rightarrow a (a - 8) + 7 (a - 8) = 0 \Rightarrow (a - 8) + (a + 7) = 0 a = 8, - 7

1010 . চতুর্ভুজের চার কোণের অনুপাত ১: ২: ২:৩ হলে কোণের পরিমাণ হবে

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