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946 . $x^{2} - 11 x + 30$ এবং $x^{3} - 4 x^{2} - 2 x - 15$ বীজগাণিতিক রাশি দুইটির গ.সা গু কত? ..

A. $30$
B. $x - 5$
C. $x - 3$
D. $50$

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Answer: Option B

Explanation:

শিক্ষা মন্ত্রণালয়; সড়ক পরিবহন ও সেতু ; গৃহায়ণ ও গণপূর্ত মন্ত্রণালয়।। উপ-সহকারী প্রকৌশলী (সিভিল) (2015) || 2015

947 . কোনো ত্রিভুজের দুইটি কোণ $২ ০ °$ ও $৭ ০ °$ হলে ত্রিভুজটি কোণ ধরনের ? ..

A. সমবাহু
B. সমদ্বিবাহু
C. সমকোণী
D. স্থুলকোণী

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Answer: Option C

Explanation:

948 . $a b =$ কত ? ..

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

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Answer: Option B

Explanation:

পরিবার পরিকল্পনা অধিদপ্তর ।। পরিবার কল্যাণ পরিদর্শিকা (18-02-2023)

949 . $১^{২} + ৩^{২} + ৫^{২} + ।। . . . . . . . . . . + ৩ ১^{২} =$ কত ? ..

A. ২১৩২
B. ৫৪৫৬
C. ২৩৫৭
D. ৫৪৭৬

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Answer: Option B

Explanation:

950 . $p + \frac{1}{p} = 4$ হলে $p^{4} \frac{1}{p^{4}} =$ কত? ..

A. $194$
B. $119$
C. $147$
D. $149$

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Answer: Option A

Explanation:

951 . $১ ৮ ২ °$ কোণ একটি - ..

A. সূক্ষ্মকোণ
B. স্থুলকোণ
C. সম্পূরক কোন
D. প্রবৃদ্ধ কোণ

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Answer: Option D

Explanation:

952 . একটি থলিতে 5টি নীল, 10টি সাদা, 20টি কালো বল আছে। দৈব চয়নের মাধ্যমে একটি বল তুললে সেটি সাদা না হওয়ার সম্ভাবনা কত? ..

A. $\frac{3}{10}$
B. $\frac{5}{7}$
C. $\frac{7}{5}$
D. $\frac{7}{10}$

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Answer: Option B

Explanation:

৪৬ তম বিসিএস প্রিলিমিনারি টেস্ট (26-04-2024)

953 . $a^{2} + b^{2}$ =25 হলে 5ab এর মান কত হবে? ..

A. 12
B. 60
C. 35
D. কোনটি না

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Answer: Option B

Explanation:

দ ে ও য় া আ ছ ে, a + b = 7, a^{2} + b^{2} = 25 আ ম র া জ া ন ি, a^{2} + b^{2} = {(a + b)}^{2} - 2 a b \Rightarrow 25 = {(7)}^{2} - 2 a b [ম ্ য া ন ব স ি য় ে] \Rightarrow 25 = 49 - 2 a b \Rightarrow 2 a b = 24 \Rightarrow a b = 12 ∴ 5 a b = 5 \times 12 = 60 . (A n s)

খাদ্য অধিদপ্তর নিয়োগ পরীক্ষা ২০২১ | সহকারী উপ-খাদ্য পরিদর্শক | 03-12-2021 || 2021

A. ২ কিঃ মিঃ
B. ১.২৫কিঃ মিঃ
C. ১.৫ কিঃ মিঃ
D. ১ কিঃ মিঃ

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Answer: Option D

Explanation:

স্থানীয় সরকার প্রকৌশল অধিদপ্তর (LGED)।। সার্ভেয়ার (05-05-2023)

A. A+4
B. (A+38)/12
C. 12A+4
D. A+1/3
E. None of these

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Answer: Option D

Explanation:

বাংলাদেশ গ্যাস ফিল্ড | সহকারী-ব্যবস্থাপক | 03-12-2021 || 2021

A. 9
B. 10
C. 11
D. 13
E. None of these

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Answer: Option D

Explanation:

বাংলাদেশ গ্যাস ফিল্ড | সহকারী-ব্যবস্থাপক | 03-12-2021 || 2021

A. 3
B. 1
C. 2
D. 4
E. None of these

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Answer: Option D

Explanation:

When a number is divided by 5 and we get a remainder of 3, it means the number can be expressed as:

Number = 5k + 3

where "k" is an integer.

Now, let's find the square of this number:

(Number)^2 = (5k + 3)^2

Expanding this expression:

(Number)^2 = 25k^2 + 30k + 9

Now, let's consider this expression modulo 5 to find the remainder when the square of the number is divided by 5.

25k^2 is divisible by 5, so it leaves no remainder.

30k is also divisible by 5, so it leaves no remainder.

Finally, 9 divided by 5 leaves a remainder of 4.

So, the remainder when the square of this number is divided by 5 is 4.

বাংলাদেশ গ্যাস ফিল্ড | সহকারী-ব্যবস্থাপক | 03-12-2021 || 2021

A. 480
B. 24
C. 48
D. 30
E. None of these

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Answer: Option B

Explanation:

To find the area of a triangle when you know the lengths of its sides (a, b, and c), you can use Heron's formula. Heron's formula states that the area (A) of a triangle with sides of length a, b, and c is given by:

A = √[s(s - a)(s - b)(s - c)]

where s is the semiperimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the lengths of the sides are a = 10 feet, b = 6 feet, and c = 8 feet.

First, calculate the semiperimeter (s):

s = (10 + 6 + 8) / 2 s = 12 feet

Now, use Heron's formula to find the area (A):

A = √[12(12 - 10)(12 - 6)(12 - 8)] A = √[12(2)(6)(4)] A = √[12 * 2 * 6 * 4] A = √[576] A = 24

So, the area of the triangle is 24 square feet.

বাংলাদেশ গ্যাস ফিল্ড | সহকারী-ব্যবস্থাপক | 03-12-2021 || 2021

959 . If x= ${(y + 3)}^{2}$ , then which of the following will be equal to ${(- 2 y - 6)}^{2}$ ? ..

A. -4x
B. -2x
C. 4x
D. 2x
E. None of these

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Answer: Option C

Explanation:

বাংলাদেশ গ্যাস ফিল্ড | সহকারী-ব্যবস্থাপক | 03-12-2021 || 2021

A. 10
B. 15
C. 20
D. 25
E. None of these

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Answer: Option D

Explanation:

Let's use the given information to calculate the percentage of drivers who exceed the speed limit:

First, let's assume there are 100 drivers on the highway for easy calculation.

According to the information, 5% of drivers are fined for exceeding the speed limit. So, 5% of 100 drivers are fined, which is 5 drivers.

It's also mentioned that 80% of the drivers who exceed the speed limit are not fined. So, let's say there are "x" drivers who exceed the speed limit. Out of these, 80% are not fined, which means 20% of them are fined.

We know that 5 drivers are fined, so we can set up the equation:

0.20x = 5

Now, solve for "x":
x = 5 / 0.20 = 25

So, there are 25 drivers who exceed the speed limit out of 100 drivers. To find the percentage, we can calculate:

(25 / 100) * 100% = 25%

Therefore, 25% of drivers on this highway exceed the speed limit.

বাংলাদেশ গ্যাস ফিল্ড | সহকারী-ব্যবস্থাপক | 03-12-2021 || 2021

955 . The average of a set of 12 numbers, which includes 34 is A. If 34 is included to the set, what is the average of new set of numbers in terms of A?

956 . For which of the followign value x is (x+78)x an integer?

957 . On dividing a number by 5 , we get 3 as remainder, What will be the remainder when the square of this number is divised by 5?

958 . What is the area in square feet of the triangle whosw sides have lengths equal to 10.6 8 feet respectively?

960 . On Dhaka- Sylet highway , 5% of the drives are fined for exceeding the speed limit. However , 80% of the drivers who exceed the speed limit are not fined. What percentage of dirvers on this highway exceed the speed limit?

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