2761 . One-third of Ratan's investment in National Savings Certificate is equal to one-half of his investment in FDR. If he has Tk. 1,50,000 as total investment, how much he invested in savings certificate?

A. Tk. 30,000
B. Tk. 50,000
C. Tk. 60,000
D. Tk. 90,000

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Answer: Option D

Explanation:

According to the problem, one-third of Ratan's investment in NSC is equal to one-half of his investment in FDR. We can write this as:

(1/3)x = (1/2)(150,000 - x)

Simplifying this equation, we get:

2x = 3(150,000 - x)

2x = 450,000 - 3x

5x = 450,000

x = 90,000

Therefore, Ratan invested Tk. 90,000 in National Savings Certificate.

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

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2762 . One third of the faculty members of a department are female. Sixteen of the male teachers are unmarried while 60% of them are married. The total number of faculty members in the department is_____

A. 72
B. 60
C. 30
D. 90

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Answer: Option B

Explanation:

মনে করি,

মোট faculty members = x জন

মহিলা faculty members x/3 জন

পুরুষ faculty members x - x/3 = 2x/3 জন

অবিবাহিত পুরুষের সংখ্যা = 2x/3 - 2x/5 জন

= 10x - 6x / 15 জন = 4x/15 জন

প্রশ্নমতে,

4x/15 = 16

x = 16 × 15 / 4

x = 60জন

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প্রবাসী কল্যাণ ব্যাংক-সিনিয়র অফিসার-09-10-2021

A. 40
B. 60
C. 80
D. 10
E. None of them

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Answer: Option B

Explanation:

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2764 . One third the sum of 13 and a certain number is the same as one more than twice the number ----

A. 2
B. 3/4
C. 13
D. none of these

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Answer: Option A

Explanation:

(13 + x)/3 = 2x + 1

13 + x = 6x + 3 m

or, 13 - 3 = 6x - x

or, 5x = 10

or, x = 2

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2765 . One third the sum of 13 and a certain number is the same as one more than twice the number. Find out the number.

A. 6
B. 2
C. 5
D. 3
E. None of them

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Answer: Option B

Explanation:

(13 + x)/3 = 2x + 1

13 + x = 6x + 3 m

or, 13 - 3 = 6x - x

or, 5x = 10

or, x = 2

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2766 . One worker can do a job in n hours, while it takes a second worker m hours to do the same job. How long does it take both workers?

A. (m + n)/mn
B. mn/(m + n)
C. m + n
D. 1/m + 1/n

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Answer: Option B

Explanation:

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2767 . One year abo the ratio of Arman and Ananda's age was 4:5 . One year hence the ratio of their ages will be 5:6 . What is the age of Ananda at present ?

A. 9 year
B. 10 year
C. 12 year
D. 8 year
E. None of these

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Answer: Option E

Explanation:

Let Arman's and Ananda's ages one year ago be 4x and 5x, respectively. Then their ages 1 year hence are (4x+1) years and (5x+1) years.

⇒ (4x+1/5x+1) = 5/6

or x=1

Hence, Ananda's present age =5x+1=6 years

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2768 . Oranges are bought at 5 for Tk. 10 and sold at 6 for Tk. 15 . The gain percent is -

A. 50%
B. 40%
C. 25%
D. 35%

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Answer: Option C

Explanation:

Cost per orange = (10/2) = 2 Tk

Sell per orange = (15/6) = 2.5 Tk

∴gain percentage = {(2.5 - 2)/2}×100

= 25%

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2769 . Organizers of a trade fair projected an increase of 20% in the number of visitors over the previous year, but the number of visitors actually increased by 50%. By what percentage was the actual number of visitors greater than the projected of visitors ?

A. 20%
B. 25%
C. 30%
D. 35%
E. 40%

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Answer: Option B

Explanation:

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Bangladesh Bank - Officer(Cash) - 2011

A. 1/6
B. 5/8
C. 3/8
D. 5/6

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Answer: Option D

Explanation:

Non-graduate = 10-4 = 6

P(non-graduate) = 6C3/10C3 = 1/6

P(graduate) = 1-1/6 = 6-1/6 = 5/6

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2771 . Out of 7,500 applications for a recruitment test, 1,500 failed to appear for the test. What percent of the total applicants did appear for the test ?

A. 25
B. 50
C. 75
D. 80

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Answer: Option D

Explanation:

Appear in the Test = (7500 - 1500) = 6000

so the percentage of Appear = (6000/7500)*100 = 80%.

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Bangladesh Bank - Officer - 2001

A. 28
B. 36
C. 44
D. 64

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Answer: Option C

Explanation:

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সাধারণ বীমা কর্পোরেশন || জুনিয়র অফিসার (12-07-2019)

A. 150%
B. 160%
C. 400%
D. 200%
E. None of them

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Answer: Option B

Explanation:

Here,

25% means 100

So, 1% means 100/25

So, 40% means (100×40)/25=160%

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2774 . Out of two numbers, 4 times the smaller one is less than 3 times the larger one by 5, if the sum of the numbers is larger than 6 times their difference by 6, find the two numbers

A. 55 and 58
B. 23 and 28
C. 59 and 43
D. 65 and 67

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Answer: Option C

Explanation:

Let, Smaller number be x and larger be x

and larger number y

ATQ, 4x = 3y - 5

= > 4x - 3y = - 5 .............(i)

And, x + y = 6 (y - x) + 6

= > x + y - 6y + 6x = 6

= > 7x - 5y = 6 ..........(ii)

(i) × 5 - (ii) × 3

= x = - 43

∴x = 43

From (i) 4 × 43 - 3y = - 5

= > - 3y = - 5 - 172 = - 177

∴y = (177/3)

= 59

∴(y,x) = (59,43) (Ans) .

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Officer (General) |-Sonali | Janata | Bangladesh Krishi_Bangladesh Development bank ২৪.০৫.২০১৯

A. Tk.40000
B. TK. 50000
C. Tk. 70000
D. TK. 60000

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Answer: Option D

Explanation:

Let, the amount invested by Q = q.
40000:q = 2:3
⇒40000q = 23
⇒q = 40000 × 32 = Tk. 60000

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সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

2761 . One-third of Ratan's investment in National Savings Certificate is equal to one-half of his investment in FDR. If he has Tk. 1,50,000 as total investment, how much he invested in savings certificate?

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2762 . One third of the faculty members of a department are female. Sixteen of the male teachers are unmarried while 60% of them are married. The total number of faculty members in the department is_____

2763 . One third of Vindo's marks in Mathematics exceeds half of his marks in social studies by 30 , if he got 240 marks in the two subjects together , how many marks did he get in social studies?

2764 . One third the sum of 13 and a certain number is the same as one more than twice the number ----

2765 . One third the sum of 13 and a certain number is the same as one more than twice the number. Find out the number.

2766 . One worker can do a job in n hours, while it takes a second worker m hours to do the same job. How long does it take both workers?

2767 . One year abo the ratio of Arman and Ananda's age was 4:5 . One year hence the ratio of their ages will be 5:6 . What is the age of Ananda at present ?

2768 . Oranges are bought at 5 for Tk. 10 and sold at 6 for Tk. 15 . The gain percent is -

2769 . Organizers of a trade fair projected an increase of 20% in the number of visitors over the previous year, but the number of visitors actually increased by 50%. By what percentage was the actual number of visitors greater than the projected of visitors ?

2770 . Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?

2771 . Out of 7,500 applications for a recruitment test, 1,500 failed to appear for the test. What percent of the total applicants did appear for the test ?

2772 . Out of 80 students 35% can play only cricket, 45% play able only tennis and the rehanging students can play both the game. How many can play cricket among all students.

2773 . Out of total profit, A gets 40%, B 25%, C 20%, D 10% and E 5%. What percentage of A's profit is that of B?

2774 . Out of two numbers, 4 times the smaller one is less than 3 times the larger one by 5, if the sum of the numbers is larger than 6 times their difference by 6, find the two numbers

2775 . P and O invested in a business. The profit earned was divided in the ratio 2 :3 . If P invested TK. 40000, the amount invested by Q is -

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