Bangladesh Bank - Assistant Director - 2009 - Prothom Sir

1.

Susan can type 10 pages in 5 minutes. Mary can type 5 pages in 10 minutes. Working together , how many pages can they type in 30 minutes ?

১৫

20

25

65

৭৫

১৫

20

25

65

৭৫

2.

Quantity A = Time to travel 95 miles at 50 miles per hour ; and Quantity B = Time to travel 125 miles at 60 miles per hour .

Quantity A is greater

Quantity A equals Quantity B

Quantity B is greater

Relationship indeterminate

None of these

Quantity A is greater

Quantity A equals Quantity B

Quantity B is greater

Relationship indeterminate

None of these

3.

In a class composed of x girls and y boys what part of the class is composed of girls ?

y / ( x + y )

x / xy

x / ( x + y)

y / xy

None of these

y / ( x + y )

x / xy

x / ( x + y)

y / xy

None of these

4.

r > s > 0 ; Quantity A = rs / r and Quantity B = rs / s

Quantity in A is greater

Quantity in B is greater

The two quantities are equal

The relationship indeterminate

None of these

Quantity in A is greater

Quantity in B is greater

The two quantities are equal

The relationship indeterminate

None of these

5.

What is the maximum number of half-point bottles of cream that can be filled with a 4-gallon can of cream ? ( 2 pt. = 1 qt. and 4 qt. =1 gal )

১৬

24

৩০

64

None of these

১৬

24

৩০

64

None of these

6.

There are 200 questions on a 3-hour examination . Among these questions 50 are mathematics problems. It is suggested that twice as much time be spent on each math problem as for each other question. How many minutes should be spent on mathematics problem

৩২

৭২

60

100

None of these

৩২

৭২

60

100

None of these

7.

x = 2y + 3 and y = -2 ; Quantity A = x and Quantity B = -1

Quantity A is greater

Quantity B is greater

The two quantities are equal

The relationship cannot be determined from the information given

None of these

Quantity A is greater

Quantity B is greater

The two quantities are equal

The relationship cannot be determined from the information given

None of these

8.

In a group of 15 , 7 have studied Latin , 8 have studied Greek, and 3 have not studied either . How many of these studied both Latin and Greek ?

০

3

৪

5

None of these

০

3

৪

5

None of these

9.

If 13 =13w / ( 1 - w ), then ( 2w )2 =

1/4

1/2

1

2

None of these

1/4

1/2

1

2

None of these

10.

Your doctor gives you pills to take one for every half hour. How long does it require to take all the pills ?

Half Hour

One Hour

One and Half Hour

Two Hours

None of these

Half Hour

One Hour

One and Half Hour

Two Hours

None of these

11.

A is the widow of B. B & C were the only children of E. C is unmarried and is a doctor. D is the grand-daughter of E and studies science . How is A related to D ?

aunt

daughter

sister

sister-in-law

None of these

aunt

daughter

sister

sister-in-law

None of these

12.

If the operation ^ is defined by the equation x ^ y = 2x + y, what is the value of a in 2 ^ a = a ^ 3 ?

০

1

-1

৪

None of these

০

1

-1

৪

None of these

13.

Which of the following fractions has the smallest value ?

8/7

10/9

21/20

41/40

1013/1012

8/7

10/9

21/20

41/40

1013/1012

14.

If the sum of the 3 consecutive integers is 240, then the sum of the two larger integers is :

79

159

169

১৬১

None of these

79

159

169

১৬১

None of these

15.

Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him , Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money

১২০

২০০

60

24

৩৬

১২০

২০০

60

24

৩৬

16.

After 3 semesters in college , jim has a 3.0 GPA. What GPA must jim attain in his fourth semesters if he wishes to raise his GPA to a 3.1 ?

2.7

3.1

3.3

3.4

3.5

2.7

3.1

3.3

3.4

3.5

17.

If the length and width of a rectangular garden plot were each increased by 20 percent. What would be the percent increase in the area of the plot ?

৪৪%

24%

36%

40%

None of these

৪৪%

24%

36%

40%

None of these

18.

The average of 5 quantities is 6 . The average of 3 of them is 8 . What is the average of the remaining two numbers ?

6.5

৪

3

3.5

None of these

6.5

৪

3

3.5

None of these

19.

A father is three times as old as his son. After fifteen years the father will be twice as old as his son's age at that time . Hence the father's present age is ---

৩৬

42

45

48

None of these

৩৬

42

45

48

None of these

20.

A rectangle is 14 cm long and 10 cm wide . If the length is reduced by x cms and its width is increased also by x cms so as to make it a square, then its area changes by :

৪

১৪৪

12

2

None of these

৪

১৪৪

12

2

None of these

21.

A Zoo keeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo ?

40

৩০

50

60

None of these

40

৩০

50

60

None of these

22.

When a student weighing 45 dgs left a class , the average weight of the remaining 59 students increased by 200g . What is the average weight of the remaining 59 students ?

57 kgs

56.8 kgs

58.2 kgs

52.2 kgs

None of these

57 kgs

56.8 kgs

58.2 kgs

52.2 kgs

None of these

23.

If 18 is 15 percent of 30 percent of a certain number , what is the number ?

৯

26

40

৮১

400

৯

26

40

৮১

400

24.

Average cost of 5 apples and 4 mangoes is 36 taka. The Average cost of 7 apples and 8 mangoes is 48 taka. Find the total cost of 24 apples and 24 mangoes.

1044

2088

720

324

None of these

1044

2088

720

324

None of these

25.

If n and p are both odd numbers, which of the following must be an even number ?

np + 2

n + p

n + p + 1

NP

None of these

np + 2

n + p

n + p + 1

NP

None of these

26.

The present ages of A and B are in the ratio 6 : 4. Five years ago their ages were in the ratio 5 : 3. Find their present ages.

42, 28

36, 24

30, 20

25, 15

None of these

42, 28

36, 24

30, 20

25, 15

None of these

27.

A predator is chasing its prey. The predator takes 4 leaps for every 6 leaps of the prey and the predator covers as much distance in 2 leaps as 3 leaps of the prey. Will the predator succeed in getting its food ?

Yes

In the 6th leap

never

can't be determined

None of these

Yes

In the 6th leap

never

can't be determined

None of these

28.

Quantity A = 4/100 and Quantity B = 0.012/3

Quantity B is greater

Quantity A equals Quantity B

Quantity A is greater

The relationship indeterminate

None of these

Quantity B is greater

Quantity A equals Quantity B

Quantity A is greater

The relationship indeterminate

None of these

29.

If u > t, r > q, s > t, t > r, Which of the following must be true ? 1. u > s 2. s > q 3. u > r

1 only

2 only

3 only

1 and 2 only

2 and 3 only

1 only

2 only

3 only

1 and 2 only

2 and 3 only

30.

Three maths classes: X, Y, and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and the average score of class Y and Z is 81. What is the average score of the combined classes X, Y, and Z?

৮১

81.5

৮২

৮৪.৫

None of these

৮১

81.5

৮২

৮৪.৫

None of these

31.

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

40 Taka

45 taka

36 taka

25

None of these

40 Taka

45 taka

36 taka

25

None of these

32.

Which of the following is the least like the others ?

Cube

Sphere

Pyramid

Circle

None of these

Cube

Sphere

Pyramid

Circle

None of these

33.

A farmer had 20 hens. All but 2 died . How many hens are still alive ?

2

১০

১৫

১৮

20

2

১০

১৫

১৮

20

34.

Divide 60 by half and deduct twenty . What do you get

১২০

100

60

৩০

১০

১২০

100

60

৩০

১০

35.

A red house is built from red bricks . A blue house is built from blue bricks. A white house is built from white bricks. Then what is a greenhouse made from ?

green bricks

Wood

Glass

steel

None of these

green bricks

Wood

Glass

steel

None of these

36.

Quantity in A = $(\frac{9}{13})^{2} a n d Q u a n t i t y B = (\frac{9}{13})^{\frac{1}{2}}$

Quantity A equals Quantity B

Relationship indeterminate

Quantity B is greater

Quantity A is greater

None of these

Quantity A equals Quantity B

Relationship indeterminate

Quantity B is greater

Quantity A is greater

None of these

37.

Average cost of 5 apples and 4 mangoes is 36 taka. The average cost of 7 apples and 8 mangoes is 48 taka. Find the total cost of 24 apples and 24 mangoes .

1044

2088

720

324

None of these

1044

2088

720

324

None of these

38.

If n and p are both odd numbers, which of the following must be an even number?

np + 2

n + p

n + p +1

NP

None of these

np + 2

n + p

n + p +1

NP

None of these

39.

The present age of A and B are in the ratio 6 : 4 Five years ago their ages were in the ratio 5 : 3 . Find their present ages.

42,28

36,24

৩০,২০

25, 15

None of these

42,28

36,24

৩০,২০

25, 15

None of these

40.

$\frac{3.003}{2.002} = ?$

1.05

1.50015

1,501

1.5015

1.5

1.05

1.50015

1,501

1.5015

1.5

41.

A predator is chasing its prey. The predator takes 4 leaps for every 6 leaps of the prey and the predator covers as much distance in 2 leaps as 3 leaps of the prey. Will the predator succeed in getting its food.?

Yes

In the 6th leap

never

can't be determined

none of them

Yes

In the 6th leap

never

can't be determined

none of them

42.

Quantity A $\frac{4}{100} a n d Q u a n t i t y B = \frac{0.012}{3}$

Quantity B is greater

Quantity A equals Quantity B

Quantity A is greater

Relationship indeterminate

None of these

Quantity B is greater

Quantity A equals Quantity B

Quantity A is greater

Relationship indeterminate

None of these

43.

If u>t, r>q, s>t, t>r, which of the following must be true? I. u>s II. s>q III. u>r

I only

ii only

iii only

I and II only

II and III only

I only

ii only

iii only

I and II only

II and III only

44.

Three math classes , X, Y , and Z, take an algebra test. The average score in class X is 83. The average score in class Y is 76. The average score in class Z is 85. The average score of all students in classes X and Y together is 79. The average score of all student classes Y and Z together is 81. What is the average for all the three classes?

৮১

81.5

৮২

৮৪.৫

None of these

৮১

81.5

৮২

৮৪.৫

None of these

45.

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

40 Taka

45 taka

36 taka

25 taka

None of these

40 Taka

45 taka

36 taka

25 taka

None of these

46.

The hour hand of an analog clock moves 1/60th of a degree every minute. Then how many degree will the hour hand move in one hour ?

1 degree

2 degree

3 degree

4 degree

5 degree

1 degree

2 degree

3 degree

4 degree

5 degree

47.

If 3/p = 6 and 3/q = 15 then p-q = ?

১/৩

2/5

3/10

৫/৬

None of these

১/৩

2/5

3/10

৫/৬

None of these

48.

Consider the following series: 3,4,6,9,13, ............. What comes next ?

১৫

১৬

17

১৮

19

১৫

১৬

17

১৮

19

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Bangladesh Bank - Assistant Director - 2009

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Job Solution | Bangladesh Bank

Bangladesh Bank - Assistant Director - 2009

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গণিত

Related Sub Categories

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