46 . Of the 32 students in a certain class, 15 are in debating club and 20 are in music club . If 10 of the students are not in either club, how many of the students are in only of the two clubs?

A. 5
B. 9
C. 10
D. 17

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Answer: Option B

Explanation:

Out of 32
10 are not in either of the clubs
Thus
22 = 15 + 20 -both
Both = 13
Therefore
only music = 15-13 = 2
only Dance = 20 - 13 = 7
Hence 7 + 2 =9

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47 . Of the 45 students in a certain class, 28 are in drama club and 31 are in communication club. If 8 of the students are not in either club, how many of the students are in only one of the two clubs?

A. 14
B. 15
C. 16
D. 17
E. None of these

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Answer: Option B

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48 . Of the 50 students in a college , 32 are enrolled in psychology class and 37 are enrolled in logic. If 6 of the students did not enroll in either class, how many of the students are in only one of these two classes?

A. 21
B. 22
C. 23
D. 27
E. None of these

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Answer: Option E

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49 . One day at a school, one -twelfth of the students were absent and 20% of those present went on a field trip. If the number of students staying back in the school that day was 660, how many students are enrolled at that school ?

A. 900
B. 960
C. 1000
D. 1220
E. None of these

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Answer: Option A

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50 . One day at a school , one-twelfth of the students were absent and 20% of those present went on a field trip. If the number of students staying back at school that day was 704 , how many students are enrolled in that school ?

A. 960
B. 1,080
C. 1,600
D. 3,520
E. None of these

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Answer: Option A

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51 . One-fourth of the students of a school play cricket and two-third of the rest play football. The remaining 400 students do not play either of the games. How many students are there in the school?

A. 800
B. 1600
C. 1800
D. 2400
E. None of these

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Answer: Option B

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52 . Rahim ranks seventh from the top and twenty-sixth from the bottom in class . How many students are there in the class ?

A. 32
B. 33
C. 34
D. 31

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Answer: Option A

Explanation:

7 + 26 - 1 = 32

[ Rahim is counted twice , once in 7th again in 26 th]

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Bangladesh Bank - Officer(Cash) - 2016

A. 45
B. 47
C. 46
D. 48

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Answer: Option C

Explanation:

Hints:

9 + 38 - 1 = 46

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উত্তরা ব্যাংক | অ্যাসিস্ট্যান্ট অফিসার | 23-07-2022

54 . Solution set of the inequality: $2 x + 5 < 5 x - 4$ is

A. $(- \infty, - 3)$
B. $(- \infty, 3)$
C. $(- 3, + \infty)$
D. $(3, + \infty)$

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Answer: Option D

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A. 20
B. 37
C. 38
D. 39

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Answer: Option B

Explanation:

Number of students in the queue = 19 + 19 - 1 = 37 [1 is sutracted so that he is not counted twice].

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বাংলাদেশ ব্যাংক || অফিসার (ক্যাশ) (21-07-2023)

A. 120
B. 140
C. 160
D. 175

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Answer: Option C

Explanation:

Let "x" be the number of students in the class, and "b" be the number of books donated to the class.

We are given two conditions:

If each student takes 4 books, there will be 20 books left. This can be expressed as: x * 4 + 20 = b

If 3 students do not take a book and the rest take 5 books each, there will be no books left. This can be expressed as: (x - 3) * 5 = b

Now, we have a system of two equations:

x * 4 + 20 = b
(x - 3) * 5 = b

We can solve this system of equations to find the values of "x" and "b."

First, let's simplify equation 2:

5x - 15 = b

Now, we have the system:

x * 4 + 20 = b
5x - 15 = b

Since both equations equal "b," we can set them equal to each other:

x * 4 + 20 = 5x - 15

Now, solve for "x":

4x + 20 = 5x - 15

Subtract 4x from both sides:

20 = x - 15

Add 15 to both sides:

x = 35

So, there are 35 students in the class. Now, we can find the number of books donated (b) using either of the original equations. Let's use the first one:

x * 4 + 20 = b 35 * 4 + 20 = b 140 + 20 = b b = 160

Therefore, 160 books were donated to the class.

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

A. (x-1)/2
B. (x+1)/2
C. 2x-1
D. 2x-2

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Answer: Option B

Explanation:

Caution: Inverse function (not inverse only)
Formula for inverse function:
1. y = f(x)
=> x => f^-1(y)
2. find x = something

Lets start:
y = f(x) = 2x-1
=> 2x = y+1
=> x = (y+1) / 2
=> f^-1(y) = (y+1) / 2
=> f^-1(x) = (x+1) / 2

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

A. 24
B. 14
C. 48
D. 114
E. None of these

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Answer: Option A

Explanation:

4 student নিয়ে section = 16 - 3 = 13

13×24 = 312 students

after admitting new students

13 + = 16 section 21 student নিয়ে

16×21 = 336 students

নতুন student = 336 - 312 = 24

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দুর্নীতি দমন কমিশনের সহকারী পরিচালক-১২.০৪.২০১৩

A. 78
B. 80
C. 91
D. 114

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Answer: Option A

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A. 58
B. 90
C. 98
D. 146

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Answer: Option B

Explanation:

নির্ণেয় ছাত্র সংখ্যা = (258 × 150)÷430 = 90

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প্রবেশনারি অফিসার | 02-04-2022

46 . Of the 32 students in a certain class, 15 are in debating club and 20 are in music club . If 10 of the students are not in either club, how many of the students are in only of the two clubs?

47 . Of the 45 students in a certain class, 28 are in drama club and 31 are in communication club. If 8 of the students are not in either club, how many of the students are in only one of the two clubs?

48 . Of the 50 students in a college , 32 are enrolled in psychology class and 37 are enrolled in logic. If 6 of the students did not enroll in either class, how many of the students are in only one of these two classes?

49 . One day at a school, one -twelfth of the students were absent and 20% of those present went on a field trip. If the number of students staying back in the school that day was 660, how many students are enrolled at that school ?

50 . One day at a school , one-twelfth of the students were absent and 20% of those present went on a field trip. If the number of students staying back at school that day was 704 , how many students are enrolled in that school ?

51 . One-fourth of the students of a school play cricket and two-third of the rest play football. The remaining 400 students do not play either of the games. How many students are there in the school?

52 . Rahim ranks seventh from the top and twenty-sixth from the bottom in class . How many students are there in the class ?

53 . Sam ranked ninth from the top and thirty-eight from the bottom in a class. How many students are there in the class?

55 . Students of a class stand in a queue. If Ratan is 19th in order from both ends, how many students are there in the queue?

56 . The city library donated some books to a class. If each student takes 4 books. there will be 20 books left. If 3 students do not take a book and the rest of the students take 5 books each, there will be no books left. How many books were donated to the class?

57 . The inverse of f(x) =2x-1 is

58 . The number of students in each section of a school is 24, After admitting new students, three new sections were started. Now, the total number of sections is 16 and there are 21 students in each section. The number of new students admited is-

59 . The ration of male students to female students in a class is 13 to 19. If there are 224 people in the class, including one teacher, one administrator, and thirty evaluation, how many people in the class are male students?

60 . The student of a school were asked to name their favorite type of pet, Of the 430 student surveyed, 258 said that their favorite type of pet was a dog, Suppose that only 150 students were surveyed, with similar results, about how many students would say that a dog is their type of pet?

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