2761 . 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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2762 . 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?

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

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Answer: Option B

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2763 . 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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2764 . 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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2765 . 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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2766 . 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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2767 . 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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2768 . 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

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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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2770 . 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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2773 . 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

A. son
B. uncle
C. brother
D. aunt

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Answer: Option D

Explanation:

P's father = S's brother
Q's father = S's brother
Q's father = R's brother
R is the aunt of Q.

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

2761 . 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_____

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2762 . 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?

2763 . One third the sum of 13 and a certain number is the same as one more than twice the number ----

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

2765 . 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?

2766 . 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 ?

2767 . Oranges are bought at 5 for Tk. 10 and sold at 6 for Tk. 15 . The gain percent is -

2768 . 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 ?

2769 . 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?

2770 . 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 ?

2771 . 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.

2772 . 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?

2773 . 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

2774 . 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 -

2775 . P and Q are brothers, R and S are sister. The father of P is brother of S. Q is related to R as -

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