Bangladesh Bank - Assistant Director - 2010 - Prothom Sir

1.

When heated an iron bar expands 0.2% . If the increased length is 1cm , what is the original length of the bar ?

500cm

5cm

0.97cm

1.97cm

0.95cm

500cm

5cm

0.97cm

1.97cm

0.95cm

2.

35% of Rifat's income is equal to 25% of Reaz's income . The ratio of their income is --

7 : 5

4 : 3

4 : 7

5 : 7

৩ : ৪

7 : 5

4 : 3

4 : 7

5 : 7

৩ : ৪

3.

Shanto was asked to find the value of 7/12 of a sum of money.Instead of multiplying the same by 7/12, he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is -

48

৮৯

84

69

৪৯

48

৮৯

84

69

৪৯

4.

'Road accidents have increased significantly .' The statement will be strengthened by the following EXCEPT :

Drivers are running cars recklessly

Only well-trained drivers are allowed to run the cars

Road trafficking is almost absent

Street trafficking is not working at night

Road signals are not abide by the drivers

Drivers are running cars recklessly

Only well-trained drivers are allowed to run the cars

Road trafficking is almost absent

Street trafficking is not working at night

Road signals are not abide by the drivers

5.

The argument in the passage depends on which of the following assumptions ?

The supply of banned products decreased considerably in 2007

The price paid for the banned products did not decrease much in 2007

Domestic production of banned products increased at a higher rate

The price of a few banned products increased considerably in 2007

A decrease in demand for most banned products in 2007 was not the sole cause of the drop in their price

The supply of banned products decreased considerably in 2007

The price paid for the banned products did not decrease much in 2007

Domestic production of banned products increased at a higher rate

The price of a few banned products increased considerably in 2007

A decrease in demand for most banned products in 2007 was not the sole cause of the drop in their price

6.

The argument in the passage would be most seriously weakened if it were true that

In 2007 smugglers of banned products had significantly more funds

Domestic production of illegal drugs increased considerably in 2007

The authors statements were made to embarrass the officials

In 2007 banned products entered the country by a different set of routes

The country's citizens spent substantially more money on banned products in 2007 than they did in 2006

In 2007 smugglers of banned products had significantly more funds

Domestic production of illegal drugs increased considerably in 2007

The authors statements were made to embarrass the officials

In 2007 banned products entered the country by a different set of routes

The country's citizens spent substantially more money on banned products in 2007 than they did in 2006

7.

" Price of vegetables is very high in city area in comparison to that in rural area." This claim is weakened by the following facts except :

There is least demand for vegetable in city area

vegetables are subject to downward price control in city area by the government

City dwellers purchase vegetable produced only in the city area

Vegetables are mostly common item of every meal of a city dweller

Abundantly produced rural vegetables area not allowed to sell in city area

There is least demand for vegetable in city area

vegetables are subject to downward price control in city area by the government

City dwellers purchase vegetable produced only in the city area

Vegetables are mostly common item of every meal of a city dweller

Abundantly produced rural vegetables area not allowed to sell in city area

8.

$\frac{25}{?} = \frac{?}{81} . w h a t i s t h e m i s \sin g n u m b e r ?$

2025

45

53

৪৯

65

2025

45

53

৪৯

65

9.

If P/Q <1, and P and Q are positive integers, which of the following must be greater than 1 ?

P/Q

Q/

P^{2}

P/2Q

P/

Q^{2}

Q/P

P/Q

Q/

P^{2}

P/2Q

P/

Q^{2}

Q/P

10.

In a city 90% of the population own a car , 15% own a motorcycle, and everybody owns one or the other or both. What is the percentage of motorcycle owners who own cars?

৫%

15%

33 \frac{1}{3} %

50%

৯০%

৫%

15%

33 \frac{1}{3} %

50%

৯০%

11.

If x $\geq$ 10 and y $\geq$ 12, then which of the following must be true?

(x+y)

\leq

22

(x-y)

\leq

22

(x+y)=22

(x+y)

\leq

0

(x+y)

\geq

22

(x+y)

\leq

22

(x-y)

\leq

22

(x+y)=22

(x+y)

\leq

0

(x+y)

\geq

22

12.

The length of rectangle ABCD is 6/5th of its breadth. Its perimeter is 132 . What is its area?

660

M^{2}

2210

M^{2}

1080

M^{2}

2160

M^{2}

460

M^{2}

660

M^{2}

2210

M^{2}

1080

M^{2}

2160

M^{2}

460

M^{2}

13.

Where does p lie if $p^{2} < p ?$

Between -1 and o

between -1 and I

Between 0 and 1

It is always less then o

It is always greater than I

Between -1 and o

between -1 and I

Between 0 and 1

It is always less then o

It is always greater than I

14.

If x>0 and $\sqrt{(y / x)} = x, t h e n w h a t i s t h e v a l u e o f y i n t e r m s o f x ?$

1/x

\sqrt{x}

x \sqrt{x}

x^{3}

x^{2} \sqrt{x}

1/x

\sqrt{x}

x \sqrt{x}

x^{3}

x^{2} \sqrt{x}

15.

$(10^{- 15} \div 10^{- 4}) = ?$

10^{- 19}

10^{- 11}

10^{19}

10^{11}

10^{60}

10^{- 19}

10^{- 11}

10^{19}

10^{11}

10^{60}

16.

A pump remover's water at a rate of 6 gallons per minute . How many hours will it take to remove 1800 gallons?

4 hours

5 hours

3 hours

6 hours

5 \frac{1}{2} h o u r s

4 hours

5 hours

3 hours

6 hours

5 \frac{1}{2} h o u r s

17.

If $x^{3} < x^{2} < x$ , then the value of x could be

০

1

১/৩

square root of 3

2

০

1

১/৩

square root of 3

2

18.

If y $(\frac{4 x - 2}{4}) = y a n d y n o t = 0, t h e n x = ?$

\frac{2}{3}

2

৪

\frac{4}{3}

\frac{3}{2}

\frac{2}{3}

2

৪

\frac{4}{3}

\frac{3}{2}

19.

$(\sqrt{25} + \sqrt{25})^{2} = ?$

50

20

100

১২৫

130

50

20

100

১২৫

130

20.

What number should replace the question mark?

১৮

৬৮

৮১

44

১৮

৬৮

৮১

44

21.

Try to understand the relationship between the two figures below. Now, look at the figure.

.

22.

Find the missing letter marked (?) in the series C, H, M, ?, W, B.

S

P

Q

R

Z

S

P

Q

R

Z

23.

75% of 0.08 = ?

0.04

0.50

০.০৬

0.060

6.0

0.04

0.50

০.০৬

0.060

6.0

24.

The cost of renting a small bus for a trip was Taka X which was to be shared equally by 16 persons . Actually 10 persons availed the trip. How much more Taka will be the cost per persons ?

X/6

X/10

3X/40

x/16

3X/80

X/6

X/10

3X/40

x/16

3X/80

25.

A map has a scale of 1cm to 3km, what length on actual ground does a 3cm length on the map represent ?

9km

1km

6km

6cm

1cm

9km

1km

6km

6cm

1cm

26.

If p is an even integer and q is an odd integer , which of the following must be an odd integer ?

P/Q

2p+q

pq

2(p+q)

3p/q

P/Q

2p+q

pq

2(p+q)

3p/q

27.

If a light flashes every 6 seconds, how many times will it flash in 3/4 of an hour ?

450 times

449 times

451 times

550 times

448 times

450 times

449 times

451 times

550 times

448 times

28.

If 6 and X have the same mean as 2, 4 and 24, what is the value of X

5

১০

14

৩৬

২৯

5

১০

14

৩৬

২৯

29.

The value of -4-(-10) is how much greater than the value of -10-(-4) ?

০

6

14

12

24

০

6

14

12

24

30.

How much interest will TK. 1000 earn in one year at the annual interest rate of 20% if interest rate is compounded every 6 months ?

২০০

205

110

208

210

২০০

205

110

208

210

31.

If the length of rectangle is increased by 30% and the width is decreased by 30%, then the area will be --

Decreased by 9%

Increased by 9%

Decreased by 18%

Increased by 16%

Increased by 15%

Decreased by 9%

Increased by 9%

Decreased by 18%

Increased by 16%

Increased by 15%

32.

Average mark in Math in a class of 40 students is 45. Average mark of all the 30 boys is 50. Then the average mark obtained by the girls is :

৩০

৩৫

25

40

৩৩

৩০

৩৫

25

40

৩৩

33.

729ml of a mixture contains milk and water in ratio 7 : 2 . How much of the water is to be added to get a new mixture containing half milk and half water ?

405ml

81ml

72ml

91ml

95ml

405ml

81ml

72ml

91ml

95ml

34.

The sum of 3 consecutive odd numbers is 57. The middle one is -

19

২১

23

17

১৫

19

২১

23

17

১৫

35.

Today is Monday. After 61 days, it will be :

Wednesday

Saturday

Tuesday

Thursday

Friday

Wednesday

Saturday

Tuesday

Thursday

Friday

36.

In a box , there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?

১/৩

৩/৪

7/19

8/21

৯

১/৩

৩/৪

7/19

8/21

৯

37.

Mr. A is 5 years senior to Mr. B, Mr. B is 3 years senior to Mr. C, Mr. C is 2 years junior to Mr. D in job experience . If Mr. D has is years job experience than how many years of experience possessing Mr. A ?

১৮

19

20

17

২১

১৮

19

20

17

২১

38.

The sum of principal and simple interest of a certain amount of money would be TK. 460 after three years from now and TK. 500 after 5 years from now . What is the related interest rate ?

১৮%

15%

২৬%

৫%

২০%

১৮%

15%

২৬%

৫%

২০%

39.

Mr. A has won an election by a vote of 250 to 150 . What part of the total vote was against him ?

2/5

৩/৫

৪/৭

7/15

3/8

2/5

৩/৫

৪/৭

7/15

3/8

40.

There are 8 more men than women on board of directors of a company. If there are 20 members on the board, how many are men ?

6

৮

12

14

১৬

6

৮

12

14

১৬

41.

Of the 3,600 employees of ABC Ltd, 1/3 are clerical . If clerical staff were to be reduced by 1/3,what percent of the total number of the remaining employees would then be clerical ?

২২.৫%

২০.৫%

25.2%

25%

15%

২২.৫%

২০.৫%

25.2%

25%

15%

42.

X is west of Y and Y is North of Z. M is south of X. Which direction is M to Z ?

West

south

North

East

Southeast

West

south

North

East

Southeast

43.

Machine A produces bolts at a uniform rate of 120 every 40 seconds and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously , how many seconds will it take for them to produce a total of 200 bolts.

২২

25

২৮

৩২

56

২২

25

২৮

৩২

56

44.

Of a pole in a pound , 0.20 portions are in mud , 0.50 of it in water and the rest 6 feet is above water . What is the length of the pole ?

40 feet

35 feet

30 feet

25 feet

20 feet

40 feet

35 feet

30 feet

25 feet

20 feet

45.

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

১৫

১৬

17

১৮

19

১৫

১৬

17

১৮

19

46.

If $A^{3}$ is odd, which of the following is true?

A is odd only

A^{2}

is odd only

A^{2}

is even

Both A & are true

Both A & C are true

A is odd only

A^{2}

is odd only

A^{2}

is even

Both A & are true

Both A & C are true

47.

If the ratio of the areas of 2 squares is 2:1 , then the ratio of the perimeters of the squares is

1 : 2

1 :

\sqrt{2}

2 : 1

\sqrt{2}

: 1

1 : 2

1 :

\sqrt{2}

2 : 1

\sqrt{2}

: 1

48.

Kamal is shorter than Ruhan, but taller than Anika, Dina is shorter than Kamal . Rubayet is shorter than Ruhan but taller than Kamal . Who is tallest in terms of height ?

Kamal

Ruhan

Anika

Dina

Rubayet

Kamal

Ruhan

Anika

Dina

Rubayet

49.

A garden of 100 meter length and 60 meter width has a walkway of 2 meter width on every side . What is the area of the garden, in square meters , excluding the walkway ?

5684

৬০০০

৬২৪

5376

৩১২

5684

৬০০০

৬২৪

5376

৩১২

Job Solution | Bangladesh Bank

Bangladesh Bank - Assistant Director - 2010

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Job Solution | Bangladesh Bank

Bangladesh Bank - Assistant Director - 2010

All

গণিত

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