6196 . Gulzar is four times as old as Hashem. 10 years ago, Gulzar was 9 times as old as Hashem. What will be the sum of their ages after 6 years?

A. 92
B. 88
C. 84
D. 82
E. None

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Answer: Option A

Explanation:

সাধারণ বীমা কর্পোরেশন || সহকারী ব্যবস্থাপক (08-11-2024) || 2024

A. 14
B. 3
C. 6
D. 25

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Answer: Option B

Explanation:

G+H=10

G-H=4

(-) করে

বা, 2H=6

বা, H=3

বেসামরিক বিমান চলাচল কর্তৃপক্ষ || নিরাপত্তা অপারেটর (23-03-2024)

A. 20
B. 9
C. 12
D. 16

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Answer: Option C

Explanation:

4x^2 - px + 9

= (2x)^2 + (3)2 - 2.2x.3 - px + 2.2x.3

= ( 2x - 3)^2 + 12x - px

রাশিটিপূর্ন বর্গ হবে যদি , 12x - px = 0

p = 12

গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক - 26.11.2021

A. ১
B. ৩
C. ৬
D. ৯

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Answer: Option C

Explanation:

বাংলাদেশ সরকারি কর্ম কমিশন || স্টাফ অফিসার (26-10-2023)

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

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Answer: Option A

Explanation:

Let A, B, C, D, and E represent the five people who want to rent the two movies.
List the different pairs of people to find there are 10 pairs
{AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}.

6201 . Five men were sitting in a row. D is to the left of C, B is to the right of E, A is to the right of C and B is to the left of D. If E is the last man, then who is the middle?

A. A
B. B
C. C
D. D

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Answer: Option D

Explanation:

6202 . Find two numbers such that their mean proportional is 6 and third proprtaional

A. 4 and 9
B. 3 and 5
C. 5 and 7
D. 2 and 5

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Answer: Option A

Explanation:

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

A. 910
B. 980
C. 1012
D. 1045

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Answer: Option D

Explanation:

B Unit (Set Code: I) 2020-21 || জাহাঙ্গীরনগর বিশ্ববিদ্যালয় || 2021

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

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Answer: Option D

Explanation:

Bangladesh Oil- Gas and Mineral Corporation (Petrobangla) || Assistant Manager (Electrical / Electronics/Chemical/Petroleum/Petroleum & Mining/IPE/ MME/Naval Architechture/ Telecom/ Geology/Geophysics/Chemistry/Environment/Marketing) (31-05-2024) || 2024

A. Tk. 331
B. Tk. 1331
C. Tk. 320
D. Tk. 325

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Answer: Option A

Explanation:

6206 . Find th area of the triangle formed by the points located at ( 5, 2) , (-9, -3) and (-3, -5).

A. 27 square unit
B. 29 square unit
C. 31 square unit
D. 20 square unit

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Answer: Option B

Explanation:

The shoelace formula for finding the area of a triangle given its vertices (x1, y1), (x2, y2), and (x3, y3) is:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

In this case, the three points are: A(5, 2) B(-9, -3) C(-3, -5)

Plug these coordinates into the formula:

Area = 1/2 * |5(-3 - (-5)) + (-9)(-5 - 2) + (-3)(2 - (-3))|

Simplify the expression inside the absolute value:

Area = 1/2 * |5(2) + (-9)(-7) + (-3)(5)|

Area = 1/2 * |10 + 63 - 15|

Area = 1/2 * |58|

Area = 29 square units

So, the area of the triangle formed by the points (5, 2), (-9, -3), and (-3, -5) is 29 square units.

সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

6207 . 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}

6208 . Find the simplified value of : ( 6 + 2x ) (4-2x).

A. 24 + 12x -4x
B. 24 + 20x -4x
C. $24 - 4 x - 4 x^{2}$
D. $24 + 4 x - 4 x$

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Answer: Option C

Explanation:

(6 + 2 x) (4 - 2 x) = 24 - 12 x + 8 x - 4 x^{2} = = 24 - 4 x - 4 x^{2}

Senior Officer (IT) - Sonali-Janata-BD Krishi-BD Development Bank Ltd - 30.11.2018

A. − 2 ≤ x ≤ 0
B. 0 ≤ x ≤ 2
C. − 2 ≤ x ≤ 2
D. − 4 ≤ x ≤ 4

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Answer: Option C

Explanation:

6210 . f ( x ) = log √ x 2 − 36 ফাংশনের এর ডোমন কত?

A. x=6
B. x<6
C. x ≥ 6
D. x>6

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Answer: Option C

Explanation:

6196 . Gulzar is four times as old as Hashem. 10 years ago, Gulzar was 9 times as old as Hashem. What will be the sum of their ages after 6 years?

6197 . G + H = 10 এবং G - H = 4 হলে H এর মান কত?

6198 . For which value of P will the square root of 4 x 2 − p x + 9 b e a n i n t e g e r

6199 . FLY শব্দটির বর্ণগুলো একত্রে নিচে কত প্রকারে সাজানো যায় ?

6200 . Five people want to rent the last two copies of a movie. How many ways can these five people rent the two movies?

6201 . Five men were sitting in a row. D is to the left of C, B is to the right of E, A is to the right of C and B is to the left of D. If E is the last man, then who is the middle?

6202 . Find two numbers such that their mean proportional is 6 and third proprtaional

6203 . Find the value of X in the given equation: 35% of 1500 + X =45% of 4200 - 320

6204 . Find the value of k if the distance between (k, 3) and (2, 3) is 5.

6205 . Find the compound interest on Tk. 1,000 at the rate of 20% per annum for 18 months when interest is compounded half yearly?

6206 . Find th area of the triangle formed by the points located at ( 5, 2) , (-9, -3) and (-3, -5).

6209 . f ( x ) = √ 4 − x 2 হলে f এর রেঞ্জ কত?

6210 . f ( x ) = log √ x 2 − 36 ফাংশনের এর ডোমন কত?

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