Bangladesh Bank - Assistant Director - 2010
মোট প্রশ্ন: ৭৬
পৃষ্ঠা ১ এর ৪পরবর্তী
১
১
The argument in the passage would be most seriously weakened if it were true that
ক.
In 2007 smugglers of banned products had significantly more funds
খ.✓ সঠিক উত্তর
Domestic production of illegal drugs increased considerably in 2007
গ.
The authors statements were made to embarrass the officials
ঘ.
In 2007 banned products entered the country by a different set of routes
ব্যাখ্যা
-
বিষয়: গণিতটপিক: মানসিক দক্ষতা (Mental skills)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
The argument in the passage would be most seriously weakened if it were true that
ক.
In 2007 smugglers of banned products had significantly more funds
খ.✓ সঠিক উত্তর
Domestic production of illegal drugs increased considerably in 2007
গ.
The authors statements were made to embarrass the officials
ঘ.
In 2007 banned products entered the country by a different set of routes
ব্যাখ্যা
-
বিষয়: গণিতটপিক: মানসিক দক্ষতা (Mental skills)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
২
২
" 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 :
ক.
There is least demand for vegetable in city area
খ.
vegetables are subject to downward price control in city area by the government
গ.
City dwellers purchase vegetable produced only in the city area
ঘ.
Vegetables are mostly common item of every meal of a city dweller
ব্যাখ্যা
To weaken the claim that "Price of vegetables is very high in city area in comparison to that in rural area," we need to find a fact that contradicts or undermines this claim. Let's analyze the options provided:
বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
" 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 :
ক.
There is least demand for vegetable in city area
খ.
vegetables are subject to downward price control in city area by the government
গ.
City dwellers purchase vegetable produced only in the city area
ঘ.
Vegetables are mostly common item of every meal of a city dweller
ব্যাখ্যা
To weaken the claim that "Price of vegetables is very high in city area in comparison to that in rural area," we need to find a fact that contradicts or undermines this claim. Let's analyze the options provided:
বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
৩
৩
If the length of rectangle is increased by 30% and the width is decreased by 30%, then the area will be --
ক.✓ সঠিক উত্তর
Decreased by 9%
খ.
Increased by 9%
গ.
Decreased by 18%
ঘ.
Increased by 16%
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
If the length of rectangle is increased by 30% and the width is decreased by 30%, then the area will be --
ক.✓ সঠিক উত্তর
Decreased by 9%
খ.
Increased by 9%
গ.
Decreased by 18%
ঘ.
Increased by 16%
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
৪
৪
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 :
ক.✓ সঠিক উত্তর
30
খ.
35
গ.
25
ঘ.
40
ব্যাখ্যা
No. of students = 40
বিষয়: গণিতটপিক: গড় (Average)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 :
ক.✓ সঠিক উত্তর
30
খ.
35
গ.
25
ঘ.
40
ব্যাখ্যা
No. of students = 40
বিষয়: গণিতটপিক: গড় (Average)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
৫
৫
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 ?
ক.✓ সঠিক উত্তর
405ml
খ.
81ml
গ.
72ml
ঘ.
91ml
ব্যাখ্যা
729 * 7/9 = 81 * 7 = 567 = Milk
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 ?
ক.✓ সঠিক উত্তর
405ml
খ.
81ml
গ.
72ml
ঘ.
91ml
ব্যাখ্যা
729 * 7/9 = 81 * 7 = 567 = Milk
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
৬
৬
The sum of 3 consecutive odd numbers is 57. The middle one is -
ক.✓ সঠিক উত্তর
19
খ.
21
গ.
23
ঘ.
17
ব্যাখ্যা
x , x + 2 , x + 4
বিষয়: গণিতটপিক: সমীকরণের প্রয়োগ (Application of Equation)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
The sum of 3 consecutive odd numbers is 57. The middle one is -
ক.✓ সঠিক উত্তর
19
খ.
21
গ.
23
ঘ.
17
ব্যাখ্যা
x , x + 2 , x + 4
বিষয়: গণিতটপিক: সমীকরণের প্রয়োগ (Application of Equation)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
৭
৭
Today is Monday. After 61 days, it will be :
ক.
Wednesday
খ.✓ সঠিক উত্তর
Saturday
গ.
Tuesday
ঘ.
Thursday
ব্যাখ্যা
7*9 = 63
বিষয়: গণিতটপিক: পঞ্জিকা (Calendar)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
Today is Monday. After 61 days, it will be :
ক.
Wednesday
খ.✓ সঠিক উত্তর
Saturday
গ.
Tuesday
ঘ.
Thursday
ব্যাখ্যা
7*9 = 63
বিষয়: গণিতটপিক: পঞ্জিকা (Calendar)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
৮
৮
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 ?
ক.✓ সঠিক উত্তর
1/3
খ.
3/4
গ.
7/19
ঘ.
8/21
ব্যাখ্যা
Probability = Favorable outcome/ Total No. of outcome
বিষয়: গণিতটপিক: সম্ভাব্যতা (Probability)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 ?
ক.✓ সঠিক উত্তর
1/3
খ.
3/4
গ.
7/19
ঘ.
8/21
ব্যাখ্যা
Probability = Favorable outcome/ Total No. of outcome
বিষয়: গণিতটপিক: সম্ভাব্যতা (Probability)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
৯
৯
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 ?
ক.
18
খ.
19
গ.
20
ঘ.
17
ব্যাখ্যা
Job experience of Mr.D = 15
বিষয়: গণিতটপিক: বয়স (Ages)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 ?
ক.
18
খ.
19
গ.
20
ঘ.
17
ব্যাখ্যা
Job experience of Mr.D = 15
বিষয়: গণিতটপিক: বয়স (Ages)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১০
১০
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 ?
ক.
18%
খ.
15%
গ.
26%
ঘ.✓ সঠিক উত্তর
5%
ব্যাখ্যা
Solution:
বিষয়: গণিতটপিক: সরল ও যৌগিক মুনাফা (Simple & Compound interest)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 ?
ক.
18%
খ.
15%
গ.
26%
ঘ.✓ সঠিক উত্তর
5%
ব্যাখ্যা
Solution:
বিষয়: গণিতটপিক: সরল ও যৌগিক মুনাফা (Simple & Compound interest)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১১
১১
Mr. A has won an election by a vote of 250 to 150 . What part of the total vote was against him ?
ক.
2/5
খ.
3/5
গ.
4/7
ঘ.
7/15
বিষয়: গণিতটপিক: ভগ্নাংশ (Fraction)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
Mr. A has won an election by a vote of 250 to 150 . What part of the total vote was against him ?
ক.
2/5
খ.
3/5
গ.
4/7
ঘ.
7/15
বিষয়: গণিতটপিক: ভগ্নাংশ (Fraction)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১২
১২
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 ?
ক.
6
খ.
8
গ.
12
ঘ.✓ সঠিক উত্তর
14
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 ?
ক.
6
খ.
8
গ.
12
ঘ.✓ সঠিক উত্তর
14
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১৩
১৩
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 ?
ক.
5684
খ.
6000
গ.
624
ঘ.✓ সঠিক উত্তর
5376
বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 ?
ক.
5684
খ.
6000
গ.
624
ঘ.✓ সঠিক উত্তর
5376
বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১৪
১৪
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 ?
ক.
22.5%
খ.
20.5%
গ.
25.2%
ঘ.✓ সঠিক উত্তর
25%
ব্যাখ্যা
Of the 3600 employees of ABC Limited, 1/3 are clerical, so the number of clerical employees is = or 1200.
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 ?
ক.
22.5%
খ.
20.5%
গ.
25.2%
ঘ.✓ সঠিক উত্তর
25%
ব্যাখ্যা
Of the 3600 employees of ABC Limited, 1/3 are clerical, so the number of clerical employees is = or 1200.
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১৫
১৫
When heated an iron bar expands 0.2% . If the increased length is 1cm , what is the original length of the bar ?
ক.✓ সঠিক উত্তর
500cm
খ.
5cm
গ.
0.97cm
ঘ.
1.97cm
ব্যাখ্যা
0.2% = 1cm
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
When heated an iron bar expands 0.2% . If the increased length is 1cm , what is the original length of the bar ?
ক.✓ সঠিক উত্তর
500cm
খ.
5cm
গ.
0.97cm
ঘ.
1.97cm
ব্যাখ্যা
0.2% = 1cm
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১৬
১৬
X is west of Y and Y is North of Z. M is south of X. Which direction is M to Z ?
ক.✓ সঠিক উত্তর
West
খ.
South
গ.
North
ঘ.
East
ব্যাখ্যা
Solution:
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2010
X is west of Y and Y is North of Z. M is south of X. Which direction is M to Z ?
ক.✓ সঠিক উত্তর
West
খ.
South
গ.
North
ঘ.
East
ব্যাখ্যা
Solution:
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১৭
১৭
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.
ক.
22
খ.✓ সঠিক উত্তর
25
গ.
28
ঘ.
32
ব্যাখ্যা
In a second A Produces = 120 /40 = 3
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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.
ক.
22
খ.✓ সঠিক উত্তর
25
গ.
28
ঘ.
32
ব্যাখ্যা
In a second A Produces = 120 /40 = 3
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১৮
১৮
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 ?
ক.
40 feet
খ.
35 feet
গ.
30 feet
ঘ.
25 feet
ব্যাখ্যা
1 - ( .2 + .5 ) = 1 - .7 = .3
বিষয়: গণিতটপিক: দশমিক-ভগ্নাংশ (Decimal Fraction)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 ?
ক.
40 feet
খ.
35 feet
গ.
30 feet
ঘ.
25 feet
ব্যাখ্যা
1 - ( .2 + .5 ) = 1 - .7 = .3
বিষয়: গণিতটপিক: দশমিক-ভগ্নাংশ (Decimal Fraction)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
১৯
১৯
35% of Rifat's income is equal to 25% of Reaz's income . The ratio of their income is --
ক.
7 : 5
খ.
4 : 3
গ.
4 : 7
ঘ.✓ সঠিক উত্তর
5 : 7
ব্যাখ্যা
Rifat = x
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
35% of Rifat's income is equal to 25% of Reaz's income . The ratio of their income is --
ক.
7 : 5
খ.
4 : 3
গ.
4 : 7
ঘ.✓ সঠিক উত্তর
5 : 7
ব্যাখ্যা
Rifat = x
বিষয়: গণিতটপিক: অনুপাত-সমানুপাত (Ratio-Proportion)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
২০
২০
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 -
ক.
48
খ.
89
গ.
84
ঘ.
69
ব্যাখ্যা
Let , Money = x
বিষয়: গণিতটপিক: ভগ্নাংশ (Fraction)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010
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 -
ক.
48
খ.
89
গ.
84
ঘ.
69
ব্যাখ্যা
Let , Money = x
বিষয়: গণিতটপিক: ভগ্নাংশ (Fraction)রেফারেন্স: Bangladesh Bank - Assistant Director - 2010