3031 . 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?

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

প্রিমিয়াম প্ল্যান: ১ মাস

99 ৳

৩০ দিনের জন্য সকল লাইভ এবং আর্কাইভ মডেল টেস্ট, প্রশ্ন ব্যাংক ও লেকচার শিট সহ অ্যাপ এর প্রিমিয়াম সব এক্সেস পাবেন।

সাবস্ক্রিপশন লিংক

3032 . 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

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:

3034 . 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%

3036 . 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:

3037 . 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.

3038 . 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.

3039 . 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.

3040 . 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।

3041 . 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।

3043 . 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

3044 . 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.

3045 . 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)

3031 . 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?

3032 . 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?

3033 . The population of a town increased by 5% annually. If it is 15435 now, its population 2 years ago was--

3034 . 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=?

3035 . 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 --

3036 . 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 -

3037 . The positive difference between the squares of any two consecutive integers is always -

3038 . The positive difference between the squares of any two consecutive integers is always---

3039 . The preduct of two consecutive negative ever integers is 24. What is the larger number ?

3040 . 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 ?

3041 . 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.

3042 . 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?

3043 . 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?

3044 . 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?

3045 . 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 -

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