সাধারণ বীমা কর্পোরেশন (SBC) এর বিভিন্ন পদের প্রশ্ন সমাধান ২০২০

সাধারণ বীমা কর্পোরেশন (SBC) এর বিভিন্ন পদের প্রশ্ন সমাধান ২০২০
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সাধারণ বীমা কর্পোরেশন (SBC) এর বিভিন্ন পদের প্রশ্ন সমাধান ২০২০

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প্রতিষ্ঠানঃ সাধারণ বীমা কর্পোরেশন (SBC)
পদের নামঃ এসিস্ট্যান্ট প্রোগ্রামার
পরীক্ষার তারিখঃ ০৬ নভেম্বর, ২০২০
পরীক্ষার সময়ঃ সকাল ১০.০০ টা থেকে ১১.৩০ টা (৯০ মিনিট)
পূর্ণমান- ৫০

Instructions: Answer all the questions in the order they are laid out on the question paper.

1. সাম্প্রতিক হাসপাতাল থেকে চিকিৎসা নিয়ে বাড়ি ফিরেছেন। হাসপাতালে কেন ভর্তি হয়েছিলেন তা বিস্তারিত জানিয়ে চিকিৎসা বীমার টাকা পরিশোধের দাবি করে বীমা কোম্পানি কে একটি চিঠি লিখুন। 10 marks

2. An increasing number of people are now using the internet to meet new people and socialize. Some people think this has brought people closer while others think people are becoming more isolated. To what extent do you agree or disagree with these statements. You should write within 200 words. 10 marks

3. b=2.35+0.25x
c=1.75+0.40x
In the equations above, b and c represent the price per pound in dollars, of beef and chicken respectively. x weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken? 2 marks

Solution:
First, we need to form an equation and solve it to find the number of weeks when the prices were the same. Because the prices were the same we can say that b = c, and therefore form the equation:
2.35 + 0.25x = 1.75 + 0.4x – Now we need to solve it and find x.
2.35 – 1.75 = 0.4x – 0.25x
0.6 = 0.15x
x = 0.6 ÷ 0.15
x = 4 weeks
So now we substitute x into the equation for beef and find the price.
b = 2.35 + (0.25 × 4)
b = 2.35 + 1
b = $3.35 per pound

4. A summer camp counselor wants to find a length, x, in feet, across a lake as represented in the sketch above. The lengths represented by AB, EB, BD, and CD on the sketch were determined to be 1800 feet, 1400 feet, 700 feet, and 800 feet, respectively. Segments AC and DE intersect at B, and ∠AEB and ∠CDB have the same measure. What is the value of x? 2 marks

সাধারণ বীমা কর্পোরেশন (SBC) এর বিভিন্ন পদের প্রশ্ন সমাধান ২০২০

Solution:
If angles E and D are the same with the lines intersecting at B, then that means that A and C are also the same, as the opposite angles formed at point B are also the same, so you have two similar triangles.
Similar triangles have proportional lengths. So we know the length CD is 800 ft and its similar leg on the other side (AE) is unknown.
So, we need to find two known lengths, one on the large and one on the small, that are similar.
BE is 1400 ft and BD is 700 ft. Those are you two known similar legs. So now we can use them in a proportion to find AE.
We will do the line ending at B over the line that doesn’t include B.
Large triangle: 1400/x
Small triangle: 700/800
Set them up in a proportion: 1400/x=700/800
Solve for x:
⇒7x=11200
⇒x=1600 ft

5. In triangle ABC, the measure of angle B is 90 degrees, BC=16, and AC=20. triangle DEF is similar to triangle ABC, where vertices D, E, and F corresponds to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. what is the value of sinF? 2 marks

Solution:
Triangle ABC is a right triangle with its right angle at B. Therefore, AC is the hypotenuse of right triangle ABC, and AB and BC are the legs of right triangle ABC. According to the Pythagorean theorem,

AB=√202−162=√400−256=√144=12

Since triangle DEF is similar to triangle ABC, with vertex F corresponding to vertex C, the measure of angle∠F equals the measure of angle∠C. Therefore, sinF=sinC. From the side lengths of triangle ABC,

sinF= opposite side/ hypotenuse = AB /AC = 12/20 = 3/5
Therefore, sinF= 3 5 .

The final answer is 3/5 or 0.6.

6. The dynamic pressure q generated by a fluid moving with velocity v can be found using the formula,q=1/2 nv2 where n is the constant density of the fluid. An aeronautical engineer uses the formula to find the dynamic pressure of a fluid moving with velocity v and the same fluid moving with velocity 1.5v. What is the ratio of the dynamic pressure of the faster fluid to the dynamic pressure of the slower fluid? 2 marks

Solution:
For the first fluid the pressure q1=1/2 nv12
For the first fluid the pressure q2=1/2 nv22
But v2=1.5v1
Thus, q2=1/2 n(1.5v1)2
=>q2=1/2 ×9/4×n(v1)2=9/4×q1
Required ratio = q1/q2=9/4

7. The expresion (8-i)/(3-2i) is rewitten in the form a+bi, where a and b are real numbers, what is the value of a? (Note: i=√−1) 2 marks

Solution:
Given expression (8−i)/(3−2i)
Rationalising the denominator, we get
(8−i)/(3−2i)= (8−i)(3+2i)/(3−2i)(3+2i)
=(24+16i−3i+2)/(9+4)
= (26+13i)/13
​=2+i
Hence, a=2

8. General Knowledge (Information Technology) (10×2=20 marks)

a. Who said, “Computers are useless. They can only give your answers”?
Answer: Pablo Picasso.

b. The first mechanical computer designed by Charles Babbage was called?
Answer: Analytical Engine

c. What does COBOL stand for?
Answer: Common Business-Oriented Language.

d. Ada programming language is name after whom?
Answer: Augusta Ada King (First computer programmer)

e. What is meant by Liveware?
Answer: Liveware is a term to describe the human system, opposed to hardware or software in a computer.

f. What is the full form of PDF?
Answer: Portable Document Format.

g. Which IT company’s nickname is ‘The Big Blue’?
Answer: International Business Machines Corporation (IBM)

h. Whose code name was Longhorn?
Answer: Windows Vista

i. Who is largely credited for breaking the German Enigma codes that provided a foundation for artificial intelligence?
Answer: Alan Turing

j. It is a small piece of data stored on a user’s computer by the web browser while browsing a website. What we are talking about?
Answer: HTTP cookies

 

সাধারণ বীমা কর্পোরেশন (SBC) এর বিভিন্ন পদের প্রশ্ন সমাধান ২০২০

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