3226 . The perimeter of a rectangle is 60 meters. If its length is twice its breadth, then its area ( in m2) is:

A. 160
B. 200
C. 220
D. 180

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Answer: Option B

Explanation:

Let, breadth = x

length = 2x

perimeter, 2(2x+x) = 60

3x = 30

x =10

Now, the area = 2x*x = 2*10*10 = 200 (Ans)

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বিসিআইসি | সহকারী প্রকৌশলী (কমার্শিয়াল) | 10-12-2021 || 2021

A. 30m
B. 50m
C. 60m
D. 70m

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Answer: Option D

Explanation:

In case of a rectangle,

2(Length + Width) = perimeter

or, 2(Length + 3/7 of Length) = 200

or, 10/7 of Length = 200/2

So, Length = 200/2 x 7/10 = 70 meter

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NRBC Bank PLC || Trainee Assistant Officer (TAO) (26-10-2024) || 2024

A. 18cm
B. 24cm
C. 32cm
D. 36cm

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Answer: Option B

Explanation:

Step 1: Find the sides of the first two squares.

The side of a square is equal to its perimeter divided by 4. Therefore, the sides of the first two squares are:

Side of square 1 = 40cm / 4 = 10cm Side of square 2 = 30cm / 4 = 7.5cm

Step 2: Find the areas of the first two squares.

The area of a square is equal to the side of the square squared. Therefore, the areas of the first two squares are:

Area of square 1 = 10cm * 10cm = 100cm² Area of square 2 = 7.5cm * 7.5cm = 56.25cm²

Step 3: Find the difference of the areas of the first two squares.

The difference of the areas of the first two squares is:

Difference of areas = Area of square 1 - Area of square 2 = 100cm² - 56.25cm² = 43.75cm²

Step 4: Find the side of the third square.

The side of the third square is equal to the square root of the difference of the areas of the first two squares. Therefore, the side of the third square is:

Side of square 3 = √43.75cm² = 6.625cm

Step 5: Find the perimeter of the third square.

The perimeter of the third square is equal to the side of the third square multiplied by 4. Therefore, the perimeter of the third square is:

Perimeter of square 3 = 6.625cm * 4 = 26.5cm

Answer: 24cm

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সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (10-11-2023)

A. 15
B. 10
C. 12
D. 8

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Answer: Option A

Explanation:

ধরি,

বর্তমান ছাত্র সংখ্যা 30x

শিক্ষক সংখ্যা x

শর্তমতে, ( 30x + 50) : ( x + 5) = 25/1

(30x + 50) / (x + 5) = 25/1

30x + 50 = 25x + 125

5x = 75

x = 15

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3230 . The pipe can independently fill a water tank in 10,12 and 15 hours. How many hours will take for all three pipes opened together to fill half of the tanks?

A. 6
B. 5
C. 4
D. 2
E. 3

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Answer: Option D

Explanation:

In 1 hour 3 pipes can fill = 1/10 + 1/12 + 1/15

= ( 6 + 5 + 4) /60 = 15/60 = 1/4

1/4 portion can fill 1 hour

1/2 portion can fill 4/2 hour = 2 hour

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Agrani Bank Ltd. Recruitment Test for Senior Officer 12.02.2010

A. 14800
B. 15000
C. 13700
D. 14000

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Answer: Option D

Explanation:

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3232 . The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10000, the present population is=?

A. 4600
B. 6400
C. 7600
D. 6000

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Answer: Option B

Explanation:

To find the present population of the village, given that its population decreases at a rate of 20% per annum, and its population 2 years ago was 10,000, you can use the following calculation:

Calculate the population after the first year (1 year ago): Population after 1 year = 10,000 - (20% of 10,000) = 10,000 - 2,000 = 8,000

Calculate the present population (now): Population now = Population after 1 year - (20% of Population after 1 year) Population now = 8,000 - (20% of 8,000) = 8,000 - 1,600 = 6,400

So, the present population of the village is 6,400. Therefore, the answer is 6400.

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সমন্বিত পাঁচ ব্যাংক || অফিসার ক্যাশ - 06.11.2021

A. 4.7%
B. 5%
C. 6%
D. 8.55%
E. None of these

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Answer: Option B

Explanation:

The population increased in 10 years = 262500 - 175000 = 87500

The population increased in 1 years = 87500/10

Now, By 175000 peoples 1 years increased 8750

By 1 peoples 1 years increased = 8750/175000

By 100 peoples 1 years increased = ( 8750×100)/175000 = 5%

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3234 . The population of Village Rasulpur increased by 12.5% every year. The population will increase to 121,500 after 2 years if the present population is -

A. 86,000
B. 92,000
C. 96,000
D. 10,500
E. None of these

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Answer: Option C

Explanation:

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3235 . The positive difference between the squares of any two consecutive integers is always -

A. an even integer
B. an odd number
C. a prime number
D. the square of an integer

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Answer: Option B

Explanation:

Let, two consecutive integers are 2 and 3

22=4 and 32=9

the difference is 9-4=5 which is an odd number.

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3236 . The positive difference between the squares of any two consecutive integers is always---

A. an even integer
B. an odd number
C. a prime number
D. the square of an integer

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Answer: Option B

Explanation:

Let, two consecutive integers are 2 and 3

22=4 and 32=9

the difference is 9-4=5 which is an odd number.

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3237 . The preduct of two consecutive negative ever integers is 24. What is the larger number ?

A. -4
B. -6
C. 4
D. 6
E. None

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Answer: Option A

Explanation:

Let two consecutive negetive even numbers -2n and - 2(n+1)

According to to the question we can write that,

(-2n)×{-2(n+1)}=24

Or, - 2n(-2n-2)=24

Or, 4n^2+4n=24

Or, 4(n^2+n)=24

Or, n^2+n=24/4

Or, n^2+n=6

Or, n^2+n-6=0

Or, n^2+3n-2n-6=0

Or, n(n+3)-2(n+3)=0

Or,(n+3)=0 or, (n-2)=0

Or, n=-3 [which is not acceptable]

And n=2

Then, As the first negative even integer is -2n= -2×2= -4

And -2(n+1)=-6

Larger number is - 4 between them.

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3238 . The preferred stock of Jay's Comics currently sells for Tk. 23.25 per share. The annual dividend of Tk. 1.50 is fixed. Assuming a constant dividend forever,what is the rate of return on this stock ?

A. 3.49 percent
B. 6.45 percent
C. 8.06 percent
D. 8.50 percent

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Answer: Option B

Explanation:

Primp অর্থ গোছানো। অন্য শব্দগুলো আগোছালো বোঝায়।

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3239 . The present age of A and B are in the ratio 6 : 4 Five years ago their ages were in the ratio 5 : 3 . Find their present ages.

A. 42,28
B. 36,24
C. 30,20
D. 25, 15

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Answer: Option C

Explanation:

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Bangladesh Bank - Assistant Director - 2009

A. 3
B. 10
C. 7.5
D. 6
E. None of them

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Answer: Option B

Explanation:

Simran এর বর্তমান বয়স = 20 বছর
Falcon এর বয়স = 20×3=60বছর

ধরি, x বছর আগে Falcon এর বয়স Simran এর 5 গুণ ছল।

আমরা পাই, 60 - x = 5(20 - x)

60 - x = 100 - 5x

4x = 40

x = 10

অর্থাৎ 10 বছর আগে Falcon এর বয়স Simran এর বয়সের 5 গুন ছিল।

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3226 . The perimeter of a rectangle is 60 meters. If its length is twice its breadth, then its area ( in m2) is:

3227 . The perimeter of rectangle is 200 meter. The breadth is 3/7 part of the length. What is the length?

3228 . The perimeters of two squares are 40cm and 30cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.

3229 . The persent ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teacher?

3230 . The pipe can independently fill a water tank in 10,12 and 15 hours. How many hours will take for all three pipes opened together to fill half of the tanks?

3231 . The population of a town increased by 5% annually. If it is 15435 now, its population 2 years ago was--

3232 . The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10000, the present population is=?

3233 . The population of town increased from 1,75,000 to 2,62,500 in a decade. The average percentage increase of the population per year is --

3234 . The population of Village Rasulpur increased by 12.5% every year. The population will increase to 121,500 after 2 years if the present population is -

3235 . The positive difference between the squares of any two consecutive integers is always -

3236 . The positive difference between the squares of any two consecutive integers is always---

3237 . The preduct of two consecutive negative ever integers is 24. What is the larger number ?

3238 . The preferred stock of Jay's Comics currently sells for Tk. 23.25 per share. The annual dividend of Tk. 1.50 is fixed. Assuming a constant dividend forever,what is the rate of return on this stock ?

3239 . The present age of A and B are in the ratio 6 : 4 Five years ago their ages were in the ratio 5 : 3 . Find their present ages.

3240 . The present age of Falcon is thrice the present age of Simran who is 20. How many years ago was the age of falcon five times that of Simaran?

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