1651 . From the data provided it can be inferred that , for production levels in the range of 0 to 60 units:

A. MC is an increasing function of production quantity .
B. MC is a decreasing function of production quantity
C. Initially MC is a decreasing function of production quantity, attains a minimum and then it is an increasing function of production quantity.
D. None of them

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Answer: Option A

Explanation:

It can be seen that the marginal cost is increasing as production quantify is increasing. So, option (a) is the correct ans.

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1652 . From the time 6:15 pm to the time 7:45 pm, of the same day, how many degrees does the minute hand of a standard clock rotate?

A. 30
B. 540
C. 180
D. 910

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Answer: Option B

Explanation:

The minute hand of a standard clock rotates 360° per hour. Now, 6:15 pm to 7:45 pm = 1.5 hour. So, the minute hand will rotate = 1.5×360° = 540°

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1653 . Given $16^{x} = 4^{4}$ what is x?

A. $- 2$
B. $- \frac{1}{2}$
C. $\frac{1}{2}$
D. $2$

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Answer: Option D

Explanation:

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সমন্বিত ৮টি ব্যাংক ও ১টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার (16-05-2025)

A. 18
B. 40
C. 14
D. 22

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Answer: Option C

Explanation:

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1655 . Given that, 24 carat gold is pure gold, 18 carat gold is 3/4th of pure gold and 20 carat gold is 5/6th of pure gold, the ratio of the pure gold in 18 carat gold to the pure gold in 20 carat gold is -

A. 5 : 8
B. 10 : 9
C. 8 : 5
D. 9 : 10

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Answer: Option D

Explanation:

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1656 . Given that $1^{2} + 2^{2} + 3^{2} . . . . . . + 10^{2} = 385,$ what is the value of $3^{2} + 6^{2} + 9^{2} + . . . . . 30^{2} ?$

A. $1, 155$
B. $1, 540$
C. $1, 925$
D. $3, 465$

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Answer: Option D

Explanation:

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

A. 36
B. 18
C. 9
D. 6

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Answer: Option D

Explanation:

w + x = - 4....(a)

x + y = 25....(b)

y + w = 15....(c)

(a) + (b) + (c)

2(x + y + z) = 36

= )x + y + z = 18

= )x + y + z/3 = 18/3

So x + y + z/3 = 6

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তিতাস গ্যাস ট্রান্সমিশন এন্ড ডিষ্ট্রিবিউশন কোম্পানী লি. | সহকারী ব্যবস্থাপক (অ্যাকাউন্টস) | ২৭.০৪.২০১৮

A. 5
B. -3
C. 12
D. -15

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Answer: Option D

Explanation:

To find the value of mn, we can use the given equations:

2(m + n) + m - 9 = 0
3m - 3n = 24

First, we can simplify equation (2) by dividing both sides by 3:

3m - 3n = 24

Dividing both sides by 3 gives:

m - n = 8

Now, we can solve equation (1) for m in terms of n:

2(m + n) + m - 9 = 0

Distribute the 2 on the left side:

2m + 2n + m - 9 = 0

Combine like terms:

3m + 2n - 9 = 0

Add 9 to both sides:

3m + 2n = 9

Now, we can use the equation m - n = 8 to express m in terms of n:

m = n + 8

Substitute this expression for m into the equation 3m + 2n = 9:

3(n + 8) + 2n = 9

Distribute the 3 on the left side:

3n + 24 + 2n = 9

Combine like terms:

5n + 24 = 9

Subtract 24 from both sides:

5n = 9 - 24 5n = -15

Now, divide both sides by 5 to find n:

n = -15 / 5 n = -3

Now that we have found n, we can find m using m = n + 8:

m = -3 + 8 m = 5

So, the values of m and n are:

m = 5 n = -3

Now, we can find the value of mn:

mn = 5 * (-3) = -15

Therefore, mn = -15.

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. 7
B. 6
C. 5
D. 4

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Answer: Option B

Explanation:

x/2+3=x/3+4

or, (x/2)-(x/3)=4-3

or, (3x-2x)/6=1

or, x=6

(ans)

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1660 . Govt. Laboratory High School has 10 members in its chess team and 14 members in its science club. Five students a the school belong to both the chess team and science club. How many students belong to only the chess team?

A. 5
B. 6
C. 7
D. 9

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Answer: Option A

Explanation:

Let, n ( C) = 10

n( S) = 10

n (C n S) = 5

Students belong to only chess team = n(C) - n ( Cn S) = 10 - 5 = 5

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1661 . Half of the students of a school play football and one third of the rest play cricket. The remaining 300 students do not play either of the games. How many students are there in the school?

A. 360
B. 900
C. 550
D. none of these

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Answer: Option B

Explanation:

Fraction of students playing Football = 1/2

Fraction of students playing Cricket = 1/3 of the remaining 1/2 = 1/6

Now, fraction of the students not playing either of the games = 1 - (1/2 + 1/6) = 1 - (3 + 1)/6 = 1/3

According to the question, 1/3 of the students = 300

So, the number of total students = 300 x 3 = 900.

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1662 . Half the graduating class of a college was accepted by a business school. One-third of the class was accepted by a law school. If one-fifth of the class was accepted by both types of school, what fraction of the class was accepted only by a law school?

A. 2/15
B. 1/6
C. 1/3
D. 1/2

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Answer: Option A

Explanation:

Fraction of the class accepted by a law school = 1/3

Fraction of the class accepted by both types of school = 1/5

Fraction of the class accepted only by a law school = 1/3 - 1/5 = 2/15

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1663 . Halim purchased brand A pen for Taka 200 each and brand B per for Taka 100 each. If he purchased a total of 8 of these pens for Taka 1,200 how many pens of brand A did he purchased ?

A. 3
B. 4
C. 5
D. 6

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Answer: Option B

Explanation:

ধরি, A brand এর কলম সংখ্যা x টি

B brand এর কলম সংখ্যা ( 8 - x) টি

200x + ( 8 - x) × 100 = 1200

200x + 800 - 100x = 1200

100x = 1200 - 800

x = 400/100

x = 4

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1664 . Hamed is 7 years older than his brother Shaquib, who is twice as old their younger sister Lopa. if Lopa is 15 years younger than Hamed, then how old is Shaquib?

A. 8 years
B. 12 years
C. 16 years
D. 20 years
E. None of these

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Answer: Option C

Explanation:

Hints:

ধরি, লোপার বয়স x বছর

সাকিব এর বয়স 2x বছর

হামিদের বয়স (2x + 7) বছর

2x + 7 - x = 15

x = 15 - 7

x = 8

সাকিব এর বয়স = ( 2×8) = 16 বছর

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1665 . Harun is twice as old as Jasim, who is three uears older than Dina. If Harun's age is five times Dina's age, how old in years is Jasim?

A. 2
B. 4
C. 5
D. 8

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Answer: Option C

Explanation:

Harun = H, Jasim = J, Dina = D

H = 2J, J = 3+D, H = 5D

2J = 5D

2J = 5(J-3)

2J = 5J-15

3J = 15

J = 5

Jasim is 5 years old. (Ans)

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1651 . From the data provided it can be inferred that , for production levels in the range of 0 to 60 units:

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1652 . From the time 6:15 pm to the time 7:45 pm, of the same day, how many degrees does the minute hand of a standard clock rotate?

1654 . Given AB = 4 & AC = 5, the perimeter of the ractangle is--

1655 . Given that, 24 carat gold is pure gold, 18 carat gold is 3/4th of pure gold and 20 carat gold is 5/6th of pure gold, the ratio of the pure gold in 18 carat gold to the pure gold in 20 carat gold is -

1657 . Given that w + x = - 4, x + y = 25 and y + w = 15, what is the average (arithmetic mean) of w, x and y?

1658 . Given the equations below, what is the value of mn? 2(m + n) + m-9; 3m - 3n =24

1659 . Given x/2+3=x/3+4, find the value of x.

1660 . Govt. Laboratory High School has 10 members in its chess team and 14 members in its science club. Five students a the school belong to both the chess team and science club. How many students belong to only the chess team?

1661 . Half of the students of a school play football and one third of the rest play cricket. The remaining 300 students do not play either of the games. How many students are there in the school?

1662 . Half the graduating class of a college was accepted by a business school. One-third of the class was accepted by a law school. If one-fifth of the class was accepted by both types of school, what fraction of the class was accepted only by a law school?

1663 . Halim purchased brand A pen for Taka 200 each and brand B per for Taka 100 each. If he purchased a total of 8 of these pens for Taka 1,200 how many pens of brand A did he purchased ?

1664 . Hamed is 7 years older than his brother Shaquib, who is twice as old their younger sister Lopa. if Lopa is 15 years younger than Hamed, then how old is Shaquib?

1665 . Harun is twice as old as Jasim, who is three uears older than Dina. If Harun's age is five times Dina's age, how old in years is Jasim?

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