2746 . One of the factors of $x^{4} + x^{2} + 1$ is-

A. $x^{2} - x + 1$
B. $x + 1$
C. $x^{2} - x - 1$
D. $x^{2} + 1$

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Answer: Option A

Explanation:

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সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

A. 3 hours
B. 3.5 hours
C. 4 hours
D. 4.5 hours

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Answer: Option C

Explanation:

First pipe can fill 1/6 of the pool in an hour

Second pool can fill 1/12 of the pool in an hour

Together they can fill (1/6 + 1/12) or 1/4 of the pool in an hour

So, they can fill the pool completely in 4 hours.

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2748 . One pipe can fill a pool in 6 hours and a second pipe can fill the same pool in 12 hours. If both pipes work together, how long will it take to fill the pool?

A. 4 hours
B. 4.5 hours
C. 3 hours
D. 3.5 hours

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Answer: Option A

Explanation:

First pipe can fill 1/6 of the pool in an hour

Second pool can fill 1/12 of the pool in an hour

Together they can fill (1/6 + 1/12) or 1/4 of the pool in an hour

So, they can fill the pool completely in 4 hours.

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2749 . One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in :

A. 81 min
B. 108 min
C. 144 min
D. 192 min

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Answer: Option C

Explanation:

Let the slower pipe alone fill the tank in x min
Then, faster pipe will fill it in x/3 min

So, slower pipe in 1 minute can fill = 1/x part of the tank
and faster pipe in 1 minute can fill = 3/x part of the tank
again, together in 1 minute can fill = 1/36 part of the tank

As per question,
1/x + 3/x = 1/36
∴ x = 144 min (Ans:)

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Bangladesh Bank - Assistant Director - 2016

A. 12 sq. m
B. 15 sq. m
C. 20 sq. m
D. 4√5 sq. m

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Answer: Option A

Explanation:

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2751 . One-third of a cylindrical oil tank is filled. If 3 more liters are added, a half of the tank will be filled. What is the capacity, in liters, of the tank?

A. 15
B. 16
C. 17
D. 18

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Answer: Option D

Explanation:

Change in capacity = 1/2 - 1/3 = 1/6

Now, 1/6 of the capacity = 3 liter

So, actual capacity = 3×6 = 18 liter

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2752 . One-third of a cylindrical oil tank is filled.If 3 more litters are added a half of the tank will be filled. What is the capacity in litters of the tank?

A. 17
B. 18
C. 14
D. 15

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Answer: Option B

Explanation:

Change in capacity = 1/2 - 1/3 = 1/6

Now, 1/6 of the capacity = 3 liter

So, actual capacity = 3×6 = 18 liter

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2753 . One third of Aman's marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English?

A. 180
B. 120
C. 90
D. 60

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Answer: Option D

Explanation:

Let marks in math = x

So, marks in english = 240 - x

ATQ,

x/3 - 30 = ( 240 - x ) / 2

2x/3 - 60 = 240 - x

2x/3 + x = 240 + 60

5x/3 = 300

x = 300* 3/5

x = 180

Marks in math = 180

Marks in english = 240 - 180 = 60

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

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

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

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2757 . 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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2758 . 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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2759 . 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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2760 . 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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2747 . One pipe can fill a pool in 6 hours, and a second pipe can fill the same pool in 12 hours. If both pipes work together, how long will it take to fill the pool?

2748 . One pipe can fill a pool in 6 hours and a second pipe can fill the same pool in 12 hours. If both pipes work together, how long will it take to fill the pool?

2749 . One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in :

2750 . One side of a rectangular field is 4 meters and its diagonal is 5 meters. The area of the field is--

2751 . One-third of a cylindrical oil tank is filled. If 3 more liters are added, a half of the tank will be filled. What is the capacity, in liters, of the tank?

2752 . One-third of a cylindrical oil tank is filled.If 3 more litters are added a half of the tank will be filled. What is the capacity in litters of the tank?

2753 . One third of Aman's marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English?

2754 . 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?

2755 . 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_____

2756 . 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?

2757 . One third the sum of 13 and a certain number is the same as one more than twice the number ----

2758 . One third the sum of 13 and a certain number is the same as one more than twice the number. Find out the number.

2759 . 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?

2760 . 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 ?

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