Jamuna Bank Ltd - Officer - 2004 এর প্রশ্ন পড়ুন।

প্রশ্নঃ A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?

বর্ণনাঃ

Let length of piece A= 2x-1

length of piece B= x

2x-1+x = L

=>3x-1 = L

=>x = (L+1)/3

length of piece A=2[(L+1)/3] - 1

= (2L+2 -3)/3 = (2L-1)/3 

প্রশ্নঃ A cyclist travels x miles in w hours and z minutes. What is the cyclist's speed in miles per hours and z minutes. What is the cyclist's speed in miles per hour?

বর্ণনাঃ

d= s×t

t= z/60+w

so s= 60x/(60w+z) 

প্রশ্নঃ If the average (arithmetic mean) of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n ?

বর্ণনাঃ

we must take such a value of n for which the average must be in between 18 to 21, inclusive. It means 21 can be the average . We are looking fro greatest value of n. So, we must take 21 as average of this 3 numbers.

16 + 20 + n = 3×21

=> 36 + n = 63

∴n = 27. 

প্রশ্নঃ A triangle has a perimeter of 36 centimeters. If the length of each side is increased by 50, the new perimeter will be?

বর্ণনাঃ

A 50% increase in the side lengths will result in a 50% increase in the perimeter as well. S, the new perimeter of the triangle = 36 + 50% of 36 = 36 + 18 = 54 cm

প্রশ্নঃ Mr. Hashem owns a mango garden withs 220 mango trees in it. Each mango tree of that garden produces from 20 to 30 pounds of mangoes each year. Which of the following could be the total number of pounds of mangoes produced per year?

বর্ণনাঃ

Minimum production = 220×20 = 4400 pounds

Maximum production = 220×30 = 6600 pounds

So, production will be 4400 to 6600 pounds per year.

প্রশ্নঃ If a : b = 3 : 5 and a : c = 5 : 7, what is the value of b : c?

বর্ণনাঃ

Here,  a : b = 3 : 5 = (3×5) : (5×5) = 15 : 25

Again,  b : c = 5 : 7 = (5×3) : ( 7×3) = 15 : 21

So,  a : b : c = 15 : 25 : 21

Therefore,  b : c = 25 : 21

প্রশ্নঃ If 25% of 220 equals 5.5% of w, then what is w?

বর্ণনাঃ

Here, 5.5% of w = 25% of 220

or,  5.5/100 of w = 25/100 of 220

or,  w = (25/100)×220×(100/5.5) = 1000

প্রশ্নঃ If 4x larger than the sum x & 3y by 9, then x is larger than y by how much?

বর্ণনাঃ

Here,  4x = x + 3y + 9

or,  4x - x - 3y = 9

or,  3x - 3y = 9

or,  3(x - y) = 9

or,  x - y = 9/3 = 3

প্রশ্নঃ Brighto soap powder is packed in cubeshaped cartons. A carton measures 10 cm on each side. The company has decided to increase the length of each edge of the carton by 10%. How much has the volume increased? (cc = cubic centimeters)

বর্ণনাঃ

Initial volume = 10³ cc = 1000 cc

New side length = 10 + 10% of 10 = 10 + 1 = 11

New volume = 11³ cc =1331 cc

Increase in volume  = 1331 - 1000 = 331 cc

প্রশ্নঃ If x+y=4 and x-y=3, then x+2y is :

বর্ণনাঃ

Here,   x + y = 4

And,    x - y = 3

---------------------------------

So,   2x = 7   [by addition]

or,  x = 7/2 = 3.5

So,  3.5 + y = 4  [from first equation]

or,  y = 4 - 3.5 = 2.5

Then,  x + 2y = 3.5 + 2×0.5 = 3.5 + 1 = 4.5

প্রশ্নঃ If the length of a rectangle is increased by 20% and the width is decreased by 20%, then the area is :

বর্ণনাঃ

We can let L= the original length

and W= the original width 

Thus, the original area of the rectangular is LW and the new area is 1.2L× 0.8W= 0.96LW

So, the area is decreased by 4% 

প্রশ্নঃ If the product of 3 consecutive integers is 120, then the sum of the integers is :

বর্ণনাঃ

Let the first integer be x-1. Then the next two integers would be x and x+1. So:

 (x-1)× x × (x+1)= 120

=> (x²-1)x = 120

=> x³ - x = 120

∴x= 5 , Check 5³-5 = 125-5 = 120.

So, x=5. The other two numbers are 4 and 6 which are equal to x-1 and x+1 respectively.

Now the total of these numbers is 3x=3×5=15. 

প্রশ্নঃ If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is :

বর্ণনাঃ

If we assume the smaller number to be n,

Then the larger number = 3n/2

As the larger number is 13 more than the smaller number, we can say

 (3n/2)-n = 13

Or, (n/2) = 13

Or, n = 26