Bangladesh Bank - Assistant Director - 2011

মোট প্রশ্ন: ৮৫

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

.
280
.
300
✓ সঠিক উত্তর
.
310
.
320
বিষয়: গণিতটপিক: ট্রেন ও  গতিবেগ (Train & Speed)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
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 ?

.
Sunday
.
Wednesday
.
Friday
.
Saturday
✓ সঠিক উত্তর
বিষয়: গণিতটপিক: পঞ্জিকা (Calendar)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
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

.
Economic growth will result in a structural change of the economy
.
Only if people consume less can the economy grow
.
The import surplus can be reduced if investment is restricted
.
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

Which of the following terms does not describe the number 9 ?

.
Prime
✓ সঠিক উত্তর
.
Integer
.
Real Number
.
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

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 ?

.
251.2 cubic ft
.
1,256 cubic ft
✓ সঠিক উত্তর
.
5,024 cubic ft
.
3,140 cubic ft
বিষয়: গণিতটপিক: পরিমাপ ও একক (Measurement & Unit)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
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 ?

.
20%
.
24%
.
36%
.
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

In how many ways can the letters of the word 'ARRANGE' be arranged in which the two Rs and two As come together ?

.
360
.
120
✓ সঠিক উত্তর
.
95
.
75

ব্যাখ্যা

ARRANGE word has 7 alphabet
বিষয়: গণিতটপিক: বিন্যাস (Permutation)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২৮

In the two consecutive numbers one-fourth of the smaller one exceeds one - fifth of the larger one by 3 . The numbers are :

.
36, 37
.
13, 12
.
64, 65
✓ সঠিক উত্তর
.
24, 25

ব্যাখ্যা

Let, Two number x, x + 1
বিষয়: গণিতটপিক: সমীকরণের প্রয়োগ (Application of Equation)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২৯

By selling a book for TK. 56, gain is as much percent as it costs in taka. The cost price is :

.
TK. 280
.
TK. 40
✓ সঠিক উত্তর
.
TK. 360
.
TK. 140

ব্যাখ্যা

Let cost price Tk. x
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
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 ?

.
The mean only
.
The median only
.
The standard deviation only
.
The mean and median only
✓ সঠিক উত্তর

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

What is the slope of the line that contains the points ( 1, 3 ) and ( 4, -3 ) ?

.
-2
✓ সঠিক উত্তর
.
-0.5
.
1
.
2

ব্যাখ্যা

Slope of the line = 3 - ( - 3) / 1 - 4 = - 2
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩২

The price of corn rose 20% two years ago and 15% last year . what is the combined percent increase in price ?

.
5%
.
17.5%
.
25%
.
35%

ব্যাখ্যা

Combined Percent = p + q + pq/100
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
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 :

.
20 days
.
22.5 days
✓ সঠিক উত্তর
.
25 days
.
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

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 ?

.
12
.
14
.
16
✓ সঠিক উত্তর
.
18

ব্যাখ্যা

Lets,
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
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 ?

.
20%
.
25%
.
35%
.
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

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

.
50
.
55
✓ সঠিক উত্তর
.
60
.
6.50

ব্যাখ্যা

Total distance traveled = 2.5 × 2 = 5 miles
বিষয়: গণিতটপিক: ঐকিক নিয়ম (Unitary method)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৩৭

How many squares are there in a chess board if each player has got 16 pawns to play with ?

.
64
.
128
.
204
✓ সঠিক উত্তর
.
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

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 ?

.
82
.
119
.
65
✓ সঠিক উত্তর
.
93
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011
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 ?

.
20%
.
24%
.
36%
.
40%
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
৪০

if x>0 and yx=x, , then what is the value of y in terms of x?

.
1x
.
x
.
xx
.
x2x

ব্যাখ্যা

To find the value of y in terms of x, let's solve the given equation:
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011