Bangladesh Bank - Assistant Director - 2011

মোট প্রশ্ন: ৮৫

পৃষ্ঠা এর পরবর্তী

The organizers of a fair projected 25% increase of visitors this year over that of the last year but the actual turnover was 20% less than that of the last year. What percent of projected visitors attended the fair ?

.
25%
.
45%
.
55%
.
64%
✓ সঠিক উত্তর

ব্যাখ্যা

Let, last year visitor were 100
বিষয়: গণিতটপিক: শতকরা (Percentage)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Choose the pair of numbers which comes next : 75, 65, 85, 55, 45, 85, 35, .......?

.
25, 15
.
25, 85
✓ সঠিক উত্তর
.
35, 25
.
35, 85

ব্যাখ্যা

75, 55, 35
বিষয়: গণিতটপিক: ক্রম ও ধারা (Sequence & Series)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Monopoly is characterized by an absence of or decline in competition . The ABC Company realizes that its operations are in competitive industries. Which of the following conclusions may be inferred from the above ?

.
ABC's market is not monopolistic
✓ সঠিক উত্তর
.
Monopoly is defined as one seller in a market
.
The ABC Company has no domestic competitors
.
The ABC Company is publicly own

ব্যাখ্যা

From the given information, the following conclusion can be inferred:
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

The only persons who attended a meeting were four ship captains and the first mates of three of those captains . The captains were R, S, T, and W; the first mates were L, N, and V. Each first mate present spoke immediately after his or her captain . S wa

.
S, L, T, V, W, R, N
.
S, N, T, V, R, W, L
.
S, T, L, R, N, W, V
.
S, T, L, W, N, R, V

ব্যাখ্যা

Based on the given information, we can determine the order in which the speakers spoke as follows:
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Mr. A is 5 years senior to Mr. B, Mr. B is 3 years senior to Mr. C, and Mr. C is 2 years junior to Mr. D in job experience . If Mr. D has 15 years job experience , how many years of experience does Mr. A possess ?

.
18
.
19
.
20
.
21
✓ সঠিক উত্তর

ব্যাখ্যা

A = B + 5 = (C + 3) + 5 = {(D - 2) + 3} + 5 = 15 - 2 + 3 + 5 = 21.
বিষয়: গণিতটপিক: বয়স (Ages)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

In the middle of around pool lies a water-lily . The water-lily doubles in size every day . After exactly 20 days the complete pool will be covered by the lily. After how days will half of the pool be covered by water-lily ?

.
3
.
7
.
10
.
15

ব্যাখ্যা

After 19 days the pool will be covered half by the lily. By being doubled in size in a day, the water - lily will completely cover the pool after 20 days.
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

How many of the integers between 110 and 120 are prime numbers ?

.
0
.
1
✓ সঠিক উত্তর
.
2
.
3

ব্যাখ্যা

The only prime number between 110 and 120 is 113.
বিষয়: গণিতটপিক: পাটিগণিত প্রাথমিক ধারণা (Basic Concept)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011

Unless the new reserves are found soon, the world's supply of coal is being depleted in such a way that with demand continuing to grow at present rates, reserves will be exhausted by the year 2050. Which of the following , if true , will weaken he above a

.
There has been a slowdown in the rate of increase in world demand for coal over the last 5 years from 10% to 5%
.
It has been known for many years that there are vast stocks of coal under Antarctica which have yet to be economically exploited
.
Oil is being used increasingly in place of coal for many industrial and domestic uses
.
As coal resources are depleted more and marginal supplies , which are more costly to produce and less efficient in use , are being mined

ব্যাখ্যা

To weaken the statement that the world's coal reserves will be exhausted by 2050, given the continued growth in demand, we need to find an option that presents a contrary or mitigating factor. Let's analyze the options provided:
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011

From a group of 7 men and 6 women, five persons are to be selected to from a committee so that at least 3 men are there on the committee. In how many ways can it be done ?

.
564
.
645
.
735
.
756
✓ সঠিক উত্তর

ব্যাখ্যা

The number of ways = 7C3 x 6C2 + 7C4 x 6C1 + 7C5 x 6C0 = 525 + 210 + 21 = 756.
বিষয়: গণিতটপিক: বিন্যাস (Permutation)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
১০

What is the missing number in the following series ? 1, 4, 9, ?, 25

.
15
.
16
✓ সঠিক উত্তর
.
17
.
18

ব্যাখ্যা

12 = 1
বিষয়: গণিতটপিক: ক্রম ও ধারা (Sequence & Series)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011
১১

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
১২

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
১৩

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
১৪

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
১৫

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
১৬

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
১৭

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
১৮

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
১৯

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
২০

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