2281 . In a class of 60, 32 studied English, 28 studied Bengali and 6 did not study either. How many of the students studied both?

A. 6
B. 4
C. 12
D. 16

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Answer: Option A

Explanation:

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2282 . In a class of 60, where girls are twice that of boys , Kamal ranked seventeenth from the top . If there are 9 girls ahead of Kamal , how many boys are after him in rank?

A. 3
B. 7
C. 12
D. 23

View Answer	Favorite Question

Answer: Option C

Explanation:

Q. In a class of 60, where girls are twice that of boys , Kamal ranked seventeenth from the top . If there are 9 girls ahead of Kamal , how many boys are after him in rank ?

Let, No. of boys = x
As per question,
x + 2x = 60
∴ x = 20

∴ No. of boys = 20 and No. of girls = 40

As Kamal ranked 17th from the top, so there are 16 students ahead of him (including 9 girls).
that means, there are 7 boys and 9 girls ahead of Kamal.

Now, till 17th there are (7 boys + Kamal) = 8 boys
So, remaining boys that ranked after Kamal = (20-8) = 12 boys (Ans:)

Bangladesh Bank - Assistant Director - 2016

A. 104
B. 845
C. 949
D. 897

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Answer: Option C

Explanation:

No. of sweets each student get = 20% of 65 = 13

No. of sweets each teacher get = 40% of 65 = 26

No. of sweets distributed to 65 students = 13 × 65 = 845

No. of sweets distributed to 4 teachers = 4 × 26 = 104

Therefore, the total no. of sweets there = 845 + 104 = 949.

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A. 6
B. 15
C. 24
D. 33

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Answer: Option C

Explanation:

আমরা জানি, N(T) = N(A) + N(B) - N(A n B) + None

None = N(T) - N (A) - N(B) + N( A n B)

= 78 - 41 - 22 + 9 = 24

2285 . In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French of German, 9 are taking both courses. How many students are not enrolled in either course ?

A. 6
B. 15
C. 24
D. 33

View Answer	Favorite Question

Answer: Option C

Explanation:

Number of those students=(78-22-41+9)=24

(ans)

2286 . In a class of 80 students, 25% are girls, If 10% of the boys and 20% of the girls attended a picnic, what percent of the class did attent?

A. 10%
B. 12%
C. 12.5%
D. 20%

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Answer: Option C

Explanation:

Percentage of class attending picnic = 20% of 25% + 10% of 75% = 5% + 7.5% = 12.5%

2287 . In a class the ratio of the number of boys to girls is 5 : 3. What percent of the students of the class are girls?

A. 37.5%
B. 50%
C. 60%
D. 62.5%

View Answer	Favorite Question

Answer: Option A

Explanation:

Summation of ratios = 5 + 3 = 8

So, percentage of girls = 3 / 8 x 100% = 37.5%

2288 . In a class there are 32 females. The ratio of female to male is 16 : 9. What is the percentage of female in that class?

A. 32%
B. 36%
C. 56.25%
D. 64%

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Answer: Option D

Explanation:

2289 . In a club 50% of the male voters and 80% of the female voters voted for candidate A . If candidate A received 70% of the total votes, what is the ratio of male to female voters?

A. 1/3
B. 3/4
C. 1/4
D. 1/2

View Answer	Favorite Question

Answer: Option D

Explanation:

Equation : 25

Male voter = x

Female voter = y

50% of x + 80% of y = 70% of (x + y)

= > 50x/100 + 80y/100 = 70(x + y)/100

= > 50x + 80y = 70x + 70y

= > 80y 70y = 70x 50x

= > 10y = 20x

∴x/y = 10/20 = ½

Three Combined Bank Recruitment - Senior Officer 03 .08.2018 ||

A. 18%
B. 24%
C. 29%
D. 30%
E. None of these

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Answer: Option C

Explanation:

Boy's 45%, So, Girls = ( 100 - 45) % = 55%

Boy's went to picnic = 45% of 40% = 18%

Girls went to picnic = 55% of 20% = 11%

Total students went on a picnic = ( 18 + 11) % = 29 %

2291 . In a container , there are 2 green marbles and 2 red marbles. You randomly pick the marbles. what is the probability that both of them are green?

A. 1/2
B. 1/4
C. 1/6
D. 1/3

View Answer	Favorite Question

Answer: Option C

Explanation:

To find the probability that both marbles drawn are green, you can use the concept of probability.

First, let's consider the total number of ways to choose 2 marbles out of 4 (2 green and 2 red). This can be calculated using combinations, denoted as "C," and given by:

Total ways to choose 2 marbles from 4 = C(4, 2)

C(4, 2) = 4! / [2!(4 - 2)!] = (4 * 3) / (2 * 1) = 6

So, there are 6 equally likely ways to choose 2 marbles from the container.

Now, let's calculate the number of ways to choose 2 green marbles out of 2. This is simply 1 way because you can only choose both green marbles in one way.

Therefore, the probability of drawing 2 green marbles is:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Probability = 1 (favorable outcomes) / 6 (total outcomes)

Probability = 1/6

So, the probability that both marbles drawn are green is 1/6.

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A. 20%
B. 25%
C. 30%
D. 30%
E. None of these

View Answer	Favorite Question

Answer: Option B

Explanation:

2293 . In a cricket match, five batsmen A, B, C, D and E scored an average 36 runs. D scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C jointly scored 107. How many runs did E score?

A. 62
B. 45
C. 28
D. 20
E. None of these

View Answer	Favorite Question

Answer: Option D

Explanation:

2294 . In a cricket team scores X runs on average over N games and then scores Y runs in the next game, then the average score for the team over the (N + 1) games is---

A. (X + Y)/(N + 1)
B. (NX + Y)/(N + 1)
C. {N(X + Y)}/(N + 1)
D. {N(X + Y) - 1}/N

View Answer	Favorite Question

Answer: Option B

Explanation:

The average score for the team over (N+1) games can be calculated as follows:

Total Runs After N Games: The first N games is the average (X) multiplied by the number of games (N). So, total runs after N games = N * X.

Total Runs After (N+1) Games: After the next game, Y runs are added to the previous total. Therefore, total runs after (N+1) games = N * X + Y.

Average Score After (N+1) Games: we divide the total runs after (N+1) games by the number of games (N+1). So, average score = (N * X + Y) / (N + 1).

Therefore, the average score for the team over the (N+1) games is (N * X + Y) / (N + 1).

2295 . In a cricket tournament 30,000 tickets were sold. One-fourth of the tickets were sold at TK. 30 each, 1/3 were sold at TK. 25 each, and the remaining tickets were sold at TK. 20 each. How many tickets were sold at TK. 20 each ?

A. 10,000
B. 12,000
C. 12,500
D. 13,500

View Answer	Favorite Question

Answer: Option C

Explanation:

মোট বিক্রিত টিকিটের সংখ্যা 30000 টি

30 টাকা দরে টিকিট বিক্রি হয়েছে (30000 এর 1/4 অংশ) = 7500 টি

25 টাকা দরে টিকিট বিক্রি হয়েছে (30000 এর 1/3 অংশ) = 10000 টি

অতএব 30 টাকা ও 25 টাকা দরে মোট বিক্রিত টিকিটের সংখ্যা = (7500 + 10000) টি

= 17500 টি

অতএব বাকি টিকিটগুলো অর্থাৎ 20 টাকা দরে বিক্রিত টিকিটের সংখ্যা = (30000 - 17500)টি

= 12500 টি

Bangladesh Bank - Officer - 2001

2281 . In a class of 60, 32 studied English, 28 studied Bengali and 6 did not study either. How many of the students studied both?

2282 . In a class of 60, where girls are twice that of boys , Kamal ranked seventeenth from the top . If there are 9 girls ahead of Kamal , how many boys are after him in rank?

2283 . In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets are there?

2284 . In a class of 78 students 14 are taking French , 22 are taking German . Of the students taking French or German , 9 are taking both courses. How many students are not enrolled in either course?

2285 . In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French of German, 9 are taking both courses. How many students are not enrolled in either course ?

2286 . In a class of 80 students, 25% are girls, If 10% of the boys and 20% of the girls attended a picnic, what percent of the class did attent?

2287 . In a class the ratio of the number of boys to girls is 5 : 3. What percent of the students of the class are girls?

2288 . In a class there are 32 females. The ratio of female to male is 16 : 9. What is the percentage of female in that class?

2289 . In a club 50% of the male voters and 80% of the female voters voted for candidate A . If candidate A received 70% of the total votes, what is the ratio of male to female voters?

2290 . In a college, 45% of the students are boys. If 40% of the boys and 20% of the girls went on a picnic, what percentage of the total students went to the picnic?

2291 . In a container , there are 2 green marbles and 2 red marbles. You randomly pick the marbles. what is the probability that both of them are green?

2292 . In a cricket match, a batsman scored 80 runs which included 3 boundaries and 8 sixes . What percent of his total score did he make by running between the wickets ?

2293 . In a cricket match, five batsmen A, B, C, D and E scored an average 36 runs. D scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C jointly scored 107. How many runs did E score?

2294 . In a cricket team scores X runs on average over N games and then scores Y runs in the next game, then the average score for the team over the (N + 1) games is---

2295 . In a cricket tournament 30,000 tickets were sold. One-fourth of the tickets were sold at TK. 30 each, 1/3 were sold at TK. 25 each, and the remaining tickets were sold at TK. 20 each. How many tickets were sold at TK. 20 each ?

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