2896 . The population of a town increased by 5% annually. If it is 15435 now, its population 2 years ago was--

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

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Answer: Option D

Explanation:

2897 . 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.

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%

2899 . 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:

2900 . 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.

2901 . 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.

2902 . 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.

2903 . 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।

2904 . 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:

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।

2906 . The present age of Noman is thrice the present age of Shamim who is 20. How many years ago was the age of Noman five times that of Shamim?

A. 3
B. 10
C. 7.5
D. 6

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Answer: Option B

Explanation:

Lets say, Noman's age was five times of Shamim's age X years ago and their present ages are N and S respectivety.

So, N = 3S = 3×20 = 60 years.

Now, five years ago,

N - X = 5(S - X)

or, 60 - X = 5(20 - X)

or, 60 - X = 100 - 5X

or, 5X - X = 100 - 60

or, 4X = 40

or, X = 10 years

2907 . The present age of son is half of the present age of his mother. Ten years ago, his mother's age was thrice the age of her son . What is the present age of the son?

A. 25 years
B. 20 years
C. 30 years
D. 40 years

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Answer: Option B

Explanation:

Let, present age of son be 'x'

" " " mother be '2x'

So, 10 years ago, age of son was 'x - 10'

" " " " mother was '2x - 10'

ATQ,

2x - 10 = 3(x - 10)

= > 3x - 2x = 30 - 10

∴x = 20 Ans.

2908 . The present age of three persons are in the proportion of 4:7:9. Eight years ago, the sum of their ages was 56 years. The present age of the eldest person is -

A. 28
B. 36
C. 45
D. None of these

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Answer: Option B

Explanation:

Let their present ages be 4x, 7 x and 9x years respectively.

Then, (4x - 8) + (7 x - 8) + (9x + 8) =56⇔20x = 80

x = 4

∴ Their present ages are 16 years, 28 years and 36 years respectively.

বাংলাদেশ ব্যাংক || সহকারী পরিচালক (AD) (20-10-2023)

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

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Answer: Option C

Explanation:

Bangladesh Bank - Assistant Director - 2009

A. 8, 20, 28
B. 16, 28, 36
C. 20, 35 , 45
D. 12, 21, 27
E. None of these

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Answer: Option B

Explanation:

Let, their present ages be, 4x, 7x, 9x respectively

Then, ( 4x - 8) + ( 7x - 8) + ( 9x - 8) = 56

20x = 80

x = 4

Present ages are 4x = 16, 7x = 28 and 9x = 36 years

2896 . The population of a town increased by 5% annually. If it is 15435 now, its population 2 years ago was--

2897 . 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=?

2898 . 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 --

2899 . 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 -

2900 . The positive difference between the squares of any two consecutive integers is always -

2901 . The positive difference between the squares of any two consecutive integers is always---

2902 . The preduct of two consecutive negative ever integers is 24. What is the larger number ?

2903 . 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 ?

2904 . 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.

2905 . 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?

2906 . The present age of Noman is thrice the present age of Shamim who is 20. How many years ago was the age of Noman five times that of Shamim?

2907 . The present age of son is half of the present age of his mother. Ten years ago, his mother's age was thrice the age of her son . What is the present age of the son?

2908 . The present age of three persons are in the proportion of 4:7:9. Eight years ago, the sum of their ages was 56 years. The present age of the eldest person is -

2909 . The present ages 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.

2910 . The present ages of three persons are in the ratio of 4: 7:9 Eight years ago, the sum of their ages was 56. what are their present ages in years?

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