Bangladesh Bank - Assistant Director - 2011

মোট প্রশ্ন: ৮৫

পৃষ্ঠা এর পরবর্তী

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

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

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

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

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

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

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

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

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
১০

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
১১

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
১২

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 ?

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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
১৩

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
১৪

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
১৫

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
১৬

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
১৭

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
১৮

If x =-1, then x4-x3+x2x-1=?

.
-32
✓ সঠিক উত্তর
.
-12
.
12

ব্যাখ্যা

Given that,  x =-1
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011
১৯

If x =5 , what is the value of (x7÷x5×x2)?

.
5
.
25
.
125
.
625
✓ সঠিক উত্তর

ব্যাখ্যা

Let's substitute the value of x = 5 into the given expression:
বিষয়: গণিতরেফারেন্স: Bangladesh Bank - Assistant Director - 2011
২০

A cube has a volume of 8M3 . If each side is doubled is length, what will be its new volume ?

.
16M3
.
24M3
.
32M3
.
48M3

ব্যাখ্যা

The volume of a cube is calculated by cubing the length of its sides. If each side is doubled in length, the new volume can be found by cubing the new side length.
বিষয়: গণিতটপিক: পরিমিতি (Mensuration)রেফারেন্স: Bangladesh Bank - Assistant Director - 2011