1 . Average of 17 even consecutive iintegers is 42. What is the 3rd number from the begining of the series when the integers are arranged in an increasing sequence?

A. 32
B. 34
C. 36
D. 28
E. 30

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Answer: Option E

Explanation:

There are 8 even integers before 42 and the other 8 integers are after 42.

The third of them will be 42 - 2 - 2 - 2 - 2 - 2 - 2 = 42 - 12 = 30.

[Alternatively, The first one will be 42 - (8 x 2) = 42 - 16 = 26.

The third one will be 26 + 2 + 2 = 30]

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2 . Average weight of 8 persons is 120 lb. One person leaves the group and a new person comes in and the new average is 122 lb. If the weight of the outgoing person is 110 lb, then what is the weight of the incoming person?

A. 126
B. 122
C. 118
D. 120
E. None of them

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Answer: Option A

Explanation:

3 . Based on the information below, how much did a certain telephone call cost? 1. The call lasted 1 minute 27 seconds. 2. The cost for the first 30 second unit Tk.1.80, call duration more than 30 seconds cost Tk.0.90 per 30 second unit. 3. Any call duration less then 30 seconds is rounded up to the nearest 30-second unit.

A. Tk.1.80
B. Tk.2.61
C. Tk.2.70
D. Tk.3.51
E. Tk.3.60

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Answer: Option E

Explanation:

The call lasted for 1 minute and 27 seconds, which is a total of 87 seconds. Any call duration of less than 30 seconds is rounded up to the nearest 30-second unit, so the duration of this call will be rounded up to 90 seconds, which is 3 units of 30 seconds.

The first 30-second unit costs Tk. 1.80, so the cost of the first unit is Tk. 1.80.

The remaining 2 units of 30 seconds each cost Tk. 0.90 per unit, so the cost of the remaining units is Tk. 0.90 x 2 = Tk. 1.80.

Therefore, the total cost of the call is Tk. 1.80 + Tk. 1.80 = Tk. 3.60.

4 . How many pupils can be seated in a room with N single chairs and B double seated benches?

A. nb
B. 2nb
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 Man

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

again,

In 1 bench seated 2 Man

So, In b bench seated = 2 × b= 2b Man

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

Ans: 2b + n

5 . If 10 students scored 61, how many students scored more than or equal to 62?

A. 37
B. 47
C. 17
D. 27
E. None of them

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Answer: Option E

Explanation:

There is given a table of Mark distribution

35-48, 49-60, 61-75, 76-88, 89-100

No. Of students: 11, 25, 21, 9, 5

Solution :

Given that 10 students score 61, then rest (21-10)=11 students scores range 62 to 75.

Though 76 to 100 are more than 62, so we took the number of rest students.

So, total number of students who score 62 or more is (11+9+5)=25.

Our answer is 25.

6 . If the individual marks of all students are arranged in increasing order, which of the following is a possible mark of the 36th position in the list?

A. 60
B. 61
C. 78
D. 39
E. 48

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Answer: Option A

Explanation:

7 . In a class of 150 students 90 students have taken Finance(F), 75 students have taken Banking(B) and 55 students have taken Economics(E). 10 students have taken F and E but not B, 15 students have taken F and B but not E and 25 students have taken B and E but not F. Find the number of students who have taken all the three courses.

A. 20
B. 15
C. 10
D. 25
E. None of these

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Answer: Option C

Explanation:

8 . In a class of 24 students, one half of the students like movie A & one-third like movie B and 1/4th like both. How many like neither?

A. 9
B. 10
C. 11
D. 6
E. 8

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Answer: Option B

Explanation:

9 . In a group of 5 men, no 2 men have the same age. The eldest man is 50 years old and the youngest 30 years old, If x years is the average age of the men in the group, which of the following best indicates all and only possible values of x?(All ages are in whole numbers)

A. 32 < x < 48
B. 33 < x < 46
C. 35 < x < 45
D. 30 < x < 50
E. 31 < x < 49

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Answer: Option C

Explanation:

There can be 2 possible scenarios

Maximizing X

30,47,48,49,50

Thus, average will be 44.8

Minimizing X

30,31,32,33,50

Thus, average will be 35.2

Check the options, correct Answer must be (E) 35 < X < 45

10 . In a survey of the people in Dhaka, it was found that 65% of the people survyed watched the news on televison, 40% read a newspaperand 25% read a newspaper and watched the news on television. What percent of the people survyed nither watched the news on television nor read a newspaper?

A. 0%
B. 5%
C. 10%
D. 15%
E. 20%

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Answer: Option E

Explanation:

Watched the news on television Only = 65 - 25 = 40%

read a newspaper only = 40 - 25 = 15%

Total = 25 + 15 + 40 = 80%

neither watched the news or neither television nor read a newspaper = (100 - 80)% = 20%

11 . In how many ways can you arrange the latters A, B, C and D?

A. 12
B. 8
C. 6
D. 24
E. 4

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Answer: Option A

Explanation:

12 . In Sajib’s collection, Bangladeshi stamp is 3 times more than the stamps of other countries. Which of the following cannot be the number of stamps in Sajib’s collection

A. 96
B. 72
C. 54
D. 32

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Answer: Option D

Explanation:

Stamps must be in an integer.

Let's say, he has x stamps of other countries

So, he has 3x Stamps of Bangladesh

So it has to be, x+3x=54 [In total]

But if we solve the equation, we can see that x=27/2, which is a fraction [not an integer]

So 54 cannot be the number of stamps. (ans)

13 . It takse Russel 20 munites to inspect a car and Sohel needs 18 minutes to inspect a car. They both start inspecting cars separately at 8.00 am. At certain points of time both of them will finish inspecting a car at the same time. When will this occur for the first time?

A. 10.00 am
B. 11.00 am
C. 9.30 am
D. 9.42 am
E. None of them

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Answer: Option B

Explanation:

Least common multiple of 20 & 18 is 180. So, they will finish inspecting a car at the same time after 180 min = 180/60 hr = 3 hr.

Now, 8 am + 3hr = 11 am

14 . Of 30 applicants for a job, 14 had at least 4 years exprience, 18 had degrees and 3 had less than 4 years exprience and did not have a degree. How many of the applicants had at least 4 years exprience and a degree?

A. 14
B. 13
C. 9
D. 9
E. 5

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Answer: Option E

Explanation:

15 . Rahim average 70 in his first m number of exams. After taking n more exams he had an overall average of 75. In terms of m and n his average for the last n exams was—

A. 5n/m + 75
B. (70m + 75n)/(m + n)
C. 80
D. (5m + 75)/n
E. 5m/n + 75

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Answer: Option E

Explanation:

1 . Average of 17 even consecutive iintegers is 42. What is the 3rd number from the begining of the series when the integers are arranged in an increasing sequence?

2 . Average weight of 8 persons is 120 lb. One person leaves the group and a new person comes in and the new average is 122 lb. If the weight of the outgoing person is 110 lb, then what is the weight of the incoming person?

4 . How many pupils can be seated in a room with N single chairs and B double seated benches?

5 . If 10 students scored 61, how many students scored more than or equal to 62?

6 . If the individual marks of all students are arranged in increasing order, which of the following is a possible mark of the 36th position in the list?

8 . In a class of 24 students, one half of the students like movie A & one-third like movie B and 1/4th like both. How many like neither?

9 . In a group of 5 men, no 2 men have the same age. The eldest man is 50 years old and the youngest 30 years old, If x years is the average age of the men in the group, which of the following best indicates all and only possible values of x?(All ages are in whole numbers)

10 . In a survey of the people in Dhaka, it was found that 65% of the people survyed watched the news on televison, 40% read a newspaperand 25% read a newspaper and watched the news on television. What percent of the people survyed nither watched the news on television nor read a newspaper?

11 . In how many ways can you arrange the latters A, B, C and D?

12 . In Sajib’s collection, Bangladeshi stamp is 3 times more than the stamps of other countries. Which of the following cannot be the number of stamps in Sajib’s collection

13 . It takse Russel 20 munites to inspect a car and Sohel needs 18 minutes to inspect a car. They both start inspecting cars separately at 8.00 am. At certain points of time both of them will finish inspecting a car at the same time. When will this occur for the first time?

14 . Of 30 applicants for a job, 14 had at least 4 years exprience, 18 had degrees and 3 had less than 4 years exprience and did not have a degree. How many of the applicants had at least 4 years exprience and a degree?

15 . Rahim average 70 in his first m number of exams. After taking n more exams he had an overall average of 75. In terms of m and n his average for the last n exams was—

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