Bangladesh Bank - Assistant Director - 2011
মোট প্রশ্ন: ৮৫
২১
২১
A train which travels at a uniform speed due to some mechanical fault after traveling for an hour goes at 3/5th of the original speed and reached the destination 2 hours late. If the fault had occurred after traveling another 50 miles, the train would ha
ক.
280
খ.✓ সঠিক উত্তর
300
গ.
310
ঘ.
320
বিষয়: গণিতটপিক: ট্রেন ও গতিবেগ (Train & Speed)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
A train which travels at a uniform speed due to some mechanical fault after traveling for an hour goes at 3/5th of the original speed and reached the destination 2 hours late. If the fault had occurred after traveling another 50 miles, the train would ha
ক.
280
খ.✓ সঠিক উত্তর
300
গ.
310
ঘ.
320
বিষয়: গণিতটপিক: ট্রেন ও গতিবেগ (Train & Speed)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২২
২২
M goes to the gym every fourth day . E's exercise routine is to go every third day. Today is Monday and both M and E are at the gym. What will the day of the week be the next time they are BOTH at gym ?
ক.
Sunday
খ.
Wednesday
গ.
Friday
ঘ.✓ সঠিক উত্তর
Saturday
বিষয়: গণিতটপিক: পঞ্জিকা (Calendar)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
M goes to the gym every fourth day . E's exercise routine is to go every third day. Today is Monday and both M and E are at the gym. What will the day of the week be the next time they are BOTH at gym ?
ক.
Sunday
খ.
Wednesday
গ.
Friday
ঘ.✓ সঠিক উত্তর
Saturday
বিষয়: গণিতটপিক: পঞ্জিকা (Calendar)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২৩
২৩
The principal monetary policy objective is to reduce substantially the import surplus of the coming years while resuming economic growth. Realization of this goal entails a marked structural change of the economy, which can be brought about by freezing th
ক.
Economic growth will result in a structural change of the economy
খ.
Only if people consume less can the economy grow
গ.
The import surplus can be reduced if investment is restricted
ঘ.
Only a structural change in the economy can substantially increase imports
ব্যাখ্যা
To determine which option weakens the given statement, let's analyze each option in relation to the goal of reducing the import surplus while resuming economic growth:
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
The principal monetary policy objective is to reduce substantially the import surplus of the coming years while resuming economic growth. Realization of this goal entails a marked structural change of the economy, which can be brought about by freezing th
ক.
Economic growth will result in a structural change of the economy
খ.
Only if people consume less can the economy grow
গ.
The import surplus can be reduced if investment is restricted
ঘ.
Only a structural change in the economy can substantially increase imports
ব্যাখ্যা
To determine which option weakens the given statement, let's analyze each option in relation to the goal of reducing the import surplus while resuming economic growth:
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২৪
২৪
Which of the following terms does not describe the number 9 ?
ক.✓ সঠিক উত্তর
Prime
খ.
Integer
গ.
Real Number
ঘ.
Whole Number
ব্যাখ্যা
এখানে, 9 prime number না মানে নয় মৌলক সংখ্যা না কারন 9 = 3 × 3.
বিষয়: গণিতটপিক: পাটিগণিত প্রাথমিক ধারণা (Basic Concept)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
Which of the following terms does not describe the number 9 ?
ক.✓ সঠিক উত্তর
Prime
খ.
Integer
গ.
Real Number
ঘ.
Whole Number
ব্যাখ্যা
এখানে, 9 prime number না মানে নয় মৌলক সংখ্যা না কারন 9 = 3 × 3.
বিষয়: গণিতটপিক: পাটিগণিত প্রাথমিক ধারণা (Basic Concept)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২৫
২৫
A circular pool is filling with water . Assuming the water level will be 4ft deep and the diameter is 20 ft , what is the approximate volume of the water needed to fill the pool ?
ক.
251.2 cubic ft
খ.✓ সঠিক উত্তর
1,256 cubic ft
গ.
5,024 cubic ft
ঘ.
3,140 cubic ft
বিষয়: গণিতটপিক: পরিমাপ ও একক (Measurement & Unit)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
A circular pool is filling with water . Assuming the water level will be 4ft deep and the diameter is 20 ft , what is the approximate volume of the water needed to fill the pool ?
ক.
251.2 cubic ft
খ.✓ সঠিক উত্তর
1,256 cubic ft
গ.
5,024 cubic ft
ঘ.
3,140 cubic ft
বিষয়: গণিতটপিক: পরিমাপ ও একক (Measurement & Unit)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২৬
২৬
If the length and width of a rectangule garden plot were each increased by 20% , what would be the percent increase in the area of plot ?
ক.
20%
খ.
24%
গ.
36%
ঘ.
40%
ব্যাখ্যা
Let, Length of rectangle garden x and width of rectangle garden y.
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
If the length and width of a rectangule garden plot were each increased by 20% , what would be the percent increase in the area of plot ?
ক.
20%
খ.
24%
গ.
36%
ঘ.
40%
ব্যাখ্যা
Let, Length of rectangle garden x and width of rectangle garden y.
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২৭
২৭
In how many ways can the letters of the word 'ARRANGE' be arranged in which the two Rs and two As come together ?
ক.
360
খ.✓ সঠিক উত্তর
120
গ.
95
ঘ.
75
ব্যাখ্যা
ARRANGE word has 7 alphabet
বিষয়: গণিতটপিক: বিন্যাস (Permutation)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
In how many ways can the letters of the word 'ARRANGE' be arranged in which the two Rs and two As come together ?
ক.
360
খ.✓ সঠিক উত্তর
120
গ.
95
ঘ.
75
ব্যাখ্যা
ARRANGE word has 7 alphabet
বিষয়: গণিতটপিক: বিন্যাস (Permutation)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২৮
২৮
In the two consecutive numbers one-fourth of the smaller one exceeds one - fifth of the larger one by 3 . The numbers are :
ক.
36, 37
খ.
13, 12
গ.✓ সঠিক উত্তর
64, 65
ঘ.
24, 25
ব্যাখ্যা
Let, Two number x, x + 1
বিষয়: গণিতটপিক: সমীকরণের প্রয়োগ (Application of Equation)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
In the two consecutive numbers one-fourth of the smaller one exceeds one - fifth of the larger one by 3 . The numbers are :
ক.
36, 37
খ.
13, 12
গ.✓ সঠিক উত্তর
64, 65
ঘ.
24, 25
ব্যাখ্যা
Let, Two number x, x + 1
বিষয়: গণিতটপিক: সমীকরণের প্রয়োগ (Application of Equation)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২৯
২৯
By selling a book for TK. 56, gain is as much percent as it costs in taka. The cost price is :
ক.
TK. 280
খ.✓ সঠিক উত্তর
TK. 40
গ.
TK. 360
ঘ.
TK. 140
ব্যাখ্যা
Let cost price Tk. x
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
By selling a book for TK. 56, gain is as much percent as it costs in taka. The cost price is :
ক.
TK. 280
খ.✓ সঠিক উত্তর
TK. 40
গ.
TK. 360
ঘ.
TK. 140
ব্যাখ্যা
Let cost price Tk. x
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩০
৩০
A researcher computed the mean , median and standard deviation for a set of performance score . If 5 were to be added to each score , which of these three statistics would change ?
ক.
The mean only
খ.
The median only
গ.
The standard deviation only
ঘ.✓ সঠিক উত্তর
The mean and median only
ব্যাখ্যা
When we put additional data in statistical calculation, mean and median changes but it is not necessarily true that the standard deviation will change. Standard deviation may remain the same even after adding additional set of data.
বিষয়: গণিতটপিক: পরিসংখ্যান (Statistics)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
A researcher computed the mean , median and standard deviation for a set of performance score . If 5 were to be added to each score , which of these three statistics would change ?
ক.
The mean only
খ.
The median only
গ.
The standard deviation only
ঘ.✓ সঠিক উত্তর
The mean and median only
ব্যাখ্যা
When we put additional data in statistical calculation, mean and median changes but it is not necessarily true that the standard deviation will change. Standard deviation may remain the same even after adding additional set of data.
বিষয়: গণিতটপিক: পরিসংখ্যান (Statistics)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩১
৩১
What is the slope of the line that contains the points ( 1, 3 ) and ( 4, -3 ) ?
ক.✓ সঠিক উত্তর
-2
খ.
-0.5
গ.
1
ঘ.
2
ব্যাখ্যা
Slope of the line = 3 - ( - 3) / 1 - 4 = - 2
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011
What is the slope of the line that contains the points ( 1, 3 ) and ( 4, -3 ) ?
ক.✓ সঠিক উত্তর
-2
খ.
-0.5
গ.
1
ঘ.
2
ব্যাখ্যা
Slope of the line = 3 - ( - 3) / 1 - 4 = - 2
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩২
৩২
The price of corn rose 20% two years ago and 15% last year . what is the combined percent increase in price ?
ক.
5%
খ.
17.5%
গ.
25%
ঘ.
35%
ব্যাখ্যা
Combined Percent = p + q + pq/100
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
The price of corn rose 20% two years ago and 15% last year . what is the combined percent increase in price ?
ক.
5%
খ.
17.5%
গ.
25%
ঘ.
35%
ব্যাখ্যা
Combined Percent = p + q + pq/100
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩৩
৩৩
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in :
ক.
20 days
খ.✓ সঠিক উত্তর
22.5 days
গ.
25 days
ঘ.
30 days
ব্যাখ্যা
Let, A can finish the job in x days
বিষয়: গণিতটপিক: সময় ও কাজ (Time and work)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in :
ক.
20 days
খ.✓ সঠিক উত্তর
22.5 days
গ.
25 days
ঘ.
30 days
ব্যাখ্যা
Let, A can finish the job in x days
বিষয়: গণিতটপিক: সময় ও কাজ (Time and work)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩৪
৩৪
Riaz spent 20% of his income on taxes and 20% of the remainder on rent . What percent of his income has he spent on rent ?
ক.
12
খ.
14
গ.✓ সঠিক উত্তর
16
ঘ.
18
ব্যাখ্যা
Lets,
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
Riaz spent 20% of his income on taxes and 20% of the remainder on rent . What percent of his income has he spent on rent ?
ক.
12
খ.
14
গ.✓ সঠিক উত্তর
16
ঘ.
18
ব্যাখ্যা
Lets,
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩৫
৩৫
75% of students of a class answered Question No. 1 correct and 55% answered Question No. 1 correct and 20% answered neither question correctly . What percent of students answered both question correctly ?
ক.
20%
খ.
25%
গ.
35%
ঘ.
45%
ব্যাখ্যা
Students answer Q.1 or Q.2 or both correctly = ( 100 - 20) = 80%
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
75% of students of a class answered Question No. 1 correct and 55% answered Question No. 1 correct and 20% answered neither question correctly . What percent of students answered both question correctly ?
ক.
20%
খ.
25%
গ.
35%
ঘ.
45%
ব্যাখ্যা
Students answer Q.1 or Q.2 or both correctly = ( 100 - 20) = 80%
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩৬
৩৬
The taxicab charges TK. 4.60 for the first 0.2 mile of a trip and TK. 1.20 for each of 0.2 of a mile or a part thereof . If the trip is 2.5 miles one way and the waiting charge is TK. 7.50 for 30 minutes or part thereof . What will be the fare for a roun
ক.
50
খ.✓ সঠিক উত্তর
55
গ.
60
ঘ.
6.50
ব্যাখ্যা
Total distance traveled = 2.5 × 2 = 5 miles
বিষয়: গণিতটপিক: ঐকিক নিয়ম (Unitary method)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
The taxicab charges TK. 4.60 for the first 0.2 mile of a trip and TK. 1.20 for each of 0.2 of a mile or a part thereof . If the trip is 2.5 miles one way and the waiting charge is TK. 7.50 for 30 minutes or part thereof . What will be the fare for a roun
ক.
50
খ.✓ সঠিক উত্তর
55
গ.
60
ঘ.
6.50
ব্যাখ্যা
Total distance traveled = 2.5 × 2 = 5 miles
বিষয়: গণিতটপিক: ঐকিক নিয়ম (Unitary method)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩৭
৩৭
How many squares are there in a chess board if each player has got 16 pawns to play with ?
ক.
64
খ.
128
গ.✓ সঠিক উত্তর
204
ঘ.
256
ব্যাখ্যা
Normally a chess board has 8 pawns and its squares are 82 or 64.
বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
How many squares are there in a chess board if each player has got 16 pawns to play with ?
ক.
64
খ.
128
গ.✓ সঠিক উত্তর
204
ঘ.
256
ব্যাখ্যা
Normally a chess board has 8 pawns and its squares are 82 or 64.
বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩৮
৩৮
Two planes leave the airport at the same time . Minutes later, plane A is 33 miles due north of the airport and plane B is 56 miles due east of the airport . How far apart are the two planes ?
ক.
82
খ.
119
গ.✓ সঠিক উত্তর
65
ঘ.
93
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011
Two planes leave the airport at the same time . Minutes later, plane A is 33 miles due north of the airport and plane B is 56 miles due east of the airport . How far apart are the two planes ?
ক.
82
খ.
119
গ.✓ সঠিক উত্তর
65
ঘ.
93
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩৯
৩৯
If the length and width of a rectangle garden plot were each increased by 20% , what would be the percent increase in the area of plot ?
ক.
20%
খ.
24%
গ.
36%
ঘ.
40%
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
If the length and width of a rectangle garden plot were each increased by 20% , what would be the percent increase in the area of plot ?
ক.
20%
খ.
24%
গ.
36%
ঘ.
40%
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৪০
৪০
if x>0 and , then what is the value of y in terms of x?
ক.
খ.
গ.
ঘ.
ব্যাখ্যা
To find the value of y in terms of x, let's solve the given equation:
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011
if x>0 and , then what is the value of y in terms of x?
ক.
খ.
গ.
ঘ.
ব্যাখ্যা
To find the value of y in terms of x, let's solve the given equation:
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011