16 . Among the 120 students of a class, numbered 1 to 120, all even numbered students opt for Bangla, whose numbers are divisible by 5 opt for English and those numbers are divisible by 7 opt for Math. How many opt for none of these three subjects?

A. 19
B. 41
C. 57
D. 26
E. None of these

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Answer: Option E

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17 . An instrument store gives a 10% discount to all students of the original cost of an instrument. During a school sale an additional 15% is taken off the discounted price. Rahim, a student at the local high school, purchases a flute for Tk 306. How much did it originally cost?

A. Tk 400
B. Tk 408
C. Tk 375
D. Tk 425
E. None of these

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Answer: Option A

Explanation:

Total discount= -10-15+(10×15)/100=|-23.5%|=23.5%

So, current price in percentage=100-23.5%=76.5%

Here,

76.5% is equal to 306 taka

So, 100% is equal to (306×100)/76.5= 400 taka

(ans)

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18 . At a certain party attended by 32 people, 24 werw students. If 12 of those in attendance were woman, and if 6 of the women in attendance were students, then how many of the men who attended the party were not students?

A. 2
B. 4
C. 8
D. 12
E. 18

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Answer: Option A

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19 . At the beginning of a class period, half of the students in a class go to the library. Later in the period, half of the remaining students go to the computer lab. If there are 8 students remaining in the class, how many students were originally in the class

A. 12
B. 16
C. 24
D. 32

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Answer: Option D

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20 . Dean of a business school distributed TK. 100000 scholarships among 36 students giving 3000 to each male student and TK. 2500 to each female student. how many female students received scholarships?

A. 20
B. 22
C. 16
D. 13

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Answer: Option C

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বাংলাদেশ অর্থনৈতিক অঞ্চল কর্তৃপক্ষ (BEZA) | সহকারী ব্যবস্থাপক | ৩০.১১.২০১৮

A. 1
B. 2
C. -1
D. -3
E. None of these

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Answer: Option A

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22 . Find the lowest value of x if $|x - 3| \leq 7$

A. -10
B. -4
C. 4
D. 10

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Answer: Option B

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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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24 . 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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25 . How many students can sit in a room with n single chairs and b doubleseated benches?

A. nb
B. 2nd
C. 2(b+n)
D. 2b + n
E. None of these

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Answer: Option D

Explanation:

In 1 single chair seated 1 student

So, in n single chair seated = 1 × n= n students

Again,

In 1 bench, seated 2 students

So, in b bench seated = 2 × b = 2b students

So Total number of Student can be seated in this classroom is = 2b + n

Ans: 2b+n

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26 . If 5 students run a mile in 5 minutes, how much time will 50 students take to run a mile?

A. 5 minutes
B. 10 minutes
C. 50 minutes
D. None of these

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Answer: Option A

Explanation:

5 students take 5 minutes to run a mile.50 students also take same time to run a mile.

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সমন্বিত ব্যাংক অফিসার (ক্যাশ) || (02-06-2023)

A. 5
B. 4
C. 6
D. 3
E. None of these

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Answer: Option A

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28 . If A = { 1,2,3,4,5} , then the number of proper subsets of A is -

A. 120
B. 30
C. 31
D. 32

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Answer: Option C

Explanation:

আমরা জানি, Proper subset সংখ্যা = 2^{n} - 1 এখানে, n = 5 proper subset সংখ্যা = 2^{5} - 1 = 32 - 1 = 31

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অফিসার (সাধারণ) ২৭.১২. ২০১৯

A. -7
B. 2
C. 9
D. 17

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Answer: Option D

Explanation:

To find the value of f(g(-3)), we'll first find g(-3) and then use the result in the function f(x).

Calculate g(-3):

g(x) = x² g(-3) = (-3)² g(-3) = 9

Now that we have g(-3) = 9, substitute this value into the function f(x):

f(x) = 2x - 1 f(g(-3)) = 2(9) - 1

Now, calculate f(g(-3)):

f(g(-3)) = 18 - 1 f(g(-3)) = 17

So, f(g(-3)) = 17.

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

A. 5 min
B. 10 min
C. 50 min
D. 250 min

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Answer: Option A

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16 . Among the 120 students of a class, numbered 1 to 120, all even numbered students opt for Bangla, whose numbers are divisible by 5 opt for English and those numbers are divisible by 7 opt for Math. How many opt for none of these three subjects?

17 . An instrument store gives a 10% discount to all students of the original cost of an instrument. During a school sale an additional 15% is taken off the discounted price. Rahim, a student at the local high school, purchases a flute for Tk 306. How much did it originally cost?

18 . At a certain party attended by 32 people, 24 werw students. If 12 of those in attendance were woman, and if 6 of the women in attendance were students, then how many of the men who attended the party were not students?

19 . At the beginning of a class period, half of the students in a class go to the library. Later in the period, half of the remaining students go to the computer lab. If there are 8 students remaining in the class, how many students were originally in the class

20 . Dean of a business school distributed TK. 100000 scholarships among 36 students giving 3000 to each male student and TK. 2500 to each female student. how many female students received scholarships?

21 . f(x) = -1, for all x>0. If f(a) = -1 and f(ab) = -1 then b = ?

23 . 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?

24 . 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?

25 . How many students can sit in a room with n single chairs and b doubleseated benches?

26 . If 5 students run a mile in 5 minutes, how much time will 50 students take to run a mile?

27 . If 6 undergraduate students can complete 9 identical math projects in 3 days, how long (in days) will it take 4 undergraduate students to complete 10 such projects?

28 . If A = { 1,2,3,4,5} , then the number of proper subsets of A is -

29 . If f(x)=2x-1 and g(x)=x², what is the value of f(g(-3))?

30 . If five students run a mile in 5 minutes, then how much time will 50 students take to run a mile?

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