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:

1517 . Given that w + x = - 4, x + y = 25 and y + w = 15, what is the average (arithmetic mean) of w, x and y?

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

1518 . Given the equations below, what is the value of mn? 2(m + n) + m-9; 3m - 3n =24

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.

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)

1520 . 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

1521 . 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.

1522 . 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

1523 . 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

1524 . 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

1525 . 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)

1526 . Hasan can run 10 miles per hour, whilr Jack can run only 8 miles per hour. If they start at the same time from the same point and run is opposite direction, how far apart (to the nearest mile) will they be after 10 minutes?

A. 3 miles
B. 4 miles
C. 5 miles
D. 1 miles

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Answer: Option A

Explanation:

Choice A is correct. We could treat this as a regular distance problem and make up a table that would solve it, but there is an easier way here, if we consider the quantity representing the distance between the boys. This distance starts at zero and increases at the rate of 18 miles per hour. Thus, in 10 minutes, or 61 hour, they will be 3 miles apart. (61hr×18hrmi=3mi)

1527 . Hasan sold an artical for 56 taka which cost him x taka. If he had gained x% on his outlay, what was his cost?

A. 40 taka
B. 45 taka
C. 36 taka
D. 28 taka

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Answer: Option A

Explanation:

56 - x /x = x%

56 - x / x = x/100

5600 - 100x = x2

x2 + 100x - 5600 = 0

x2 + 140x - 40x - 5600 = 0

( x - 40) ( x + 140) = 0

x = 40

1528 . Hasan sold an article for 56 taka which cost him x taka . If he had gained x% on his outlay, what was his cost ?

A. 40 taka
B. 45 taka
C. 36 taka
D. 25
E. None of these

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Answer: Option A

Explanation:

Bangladesh Bank - Assistant Director - 2009

A. 34
B. 40
C. 68
D. 88

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Answer: Option D

Explanation:

Fencing required

=34+34+20

=88 feet

(ans)

1530 . he ratio of two numbers is 3:4 and their LCM is 84, find the number-

A. 28
B. 34
C. 82
D. 54

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Answer: Option A

Explanation:

মনেকরি,
সংখ্যাদ্বয় 3x ও 4x
.:. ল.সা.গু = 12x
প্রশ্নমতে, 12x = 84
⇒ x = 7
.:. সংখ্যাদয় (3 x7) = 21
এবং (4 x 7) = 28

1516 . 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 -

1517 . Given that w + x = - 4, x + y = 25 and y + w = 15, what is the average (arithmetic mean) of w, x and y?

1518 . Given the equations below, what is the value of mn? 2(m + n) + m-9; 3m - 3n =24

1519 . Given x/2+3=x/3+4, find the value of x.

1520 . 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?

1521 . 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?

1522 . 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?

1523 . 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 ?

1524 . 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?

1525 . 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?

1526 . Hasan can run 10 miles per hour, whilr Jack can run only 8 miles per hour. If they start at the same time from the same point and run is opposite direction, how far apart (to the nearest mile) will they be after 10 minutes?

1527 . Hasan sold an artical for 56 taka which cost him x taka. If he had gained x% on his outlay, what was his cost?

1528 . Hasan sold an article for 56 taka which cost him x taka . If he had gained x% on his outlay, what was his cost ?

1529 . Hashem wants to put up fencing around three sides of his rectangular yard and leave a side of 20 feet unfenced. If the yard has an area of 680 square feet, how many feet of fencing does he need?

1530 . he ratio of two numbers is 3:4 and their LCM is 84, find the number-

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