Uttara Bank Ltd

প্রশ্নঃ If a person can save TK.380 in 5 weeks, in how many weeks, at this same rate, can the person save 2.6 times amount ?

বর্ণনাঃ

Total savings will be TK. 380x2.6 or TK. 988

So in one week he can save TK. 380/5 or TK. 76

Number of weeks need for saving TK. 988 is 988/76 or 13

প্রশ্নঃ A train took 6 minutes to travel between two stations 4 miles apart. What was the speed of the train in miles per hour?

বর্ণনাঃ

In 6 min train goes 4 miles

In 60 min train goes  (4 *60)/6 =40 miles

প্রশ্নঃ The average of three numbers is 24. . If two of the numbers are 21 and 23, the third number is --

বর্ণনাঃ

Let, third number is x

so, (x + 21 + 33)/3 = 24

বা, x =72 -  44 =28

প্রশ্নঃ If 1/y= 31/2 , then 1/y+2 =?

বর্ণনাঃ

1/y = 7/2

so,y = 2/7

Then,

1/(y+2) = 1/(2/7+2) =7/(2+14)=7/16

প্রশ্নঃ 0.03 times of 0.05 is -

বর্ণনাঃ

 ০.০৩ ✘০.০৫ = ০.০০১৫

এখানে,  ৩ আর ৫ গুণ করলে ১৫ হয় এবং চারটা সংখ্যার আগে পয়েন্ট তাই। ০.০০১৫ হয়ছে চাররা সংখ্যর আগে পয়েন্ট দেওয়া হয়ছে

প্রশ্নঃ In an office , the ratio of female to male employees is 1 : 4 what percentage of the employees are male ?

বর্ণনাঃ

percentage of male employee =4/(4+1) *100 = 80%

প্রশ্নঃ Of the following which is the greatest ?

বর্ণনাঃ

এখানে,  1/2=0.5.

   7/15=0.46667

49/100=0.49

126/250=0.504

ভাগ করে দেখা যাচ্ছে,  126/250 এটাই সবথেকে বড় মান পাওয়া গেছে

প্রশ্নঃ For a 20% decrease in the radius of a circle, what will be the percentage reduction in its area?

বর্ণনাঃ

Let, radius = 100

Area = πr² = π ×100² = 10000π

New Radius = 100 - 100 ×20% = 80

New area = π (80)² = 6400π

Area decrease = ( 10000 - 6400) π = 3600π

Percentage of area decrease = 3600π/10000π ×100% = 36%

প্রশ্নঃ Sum of two numbers is 15 and their difference is 13. Identify the smaller number.

বর্ণনাঃ

Let,

large number x,

small number y

given,

x + y = 15..............(১)

x - y =13................(২)

সমীকরণ (১)-(২)

2y = 2

so, y = 1

প্রশ্নঃ Volume of a water tank is 192 cft. Its length ,breadth, and height are in proportions 4: 3:2 . --- what is the area of its base in square feet?

বর্ণনাঃ

Let,

length 4x

breadth 3x

height 2x

প্রশ্নমতে,

4x.3x.2x = 192

বা,24 x^3 = 192

 বা,x^3 = 8

so,x = 2

Base area of tank= (4.2).(3.2)= 48 square feet 

প্রশ্নঃ How many prime numbers are there between 45 and 72?

বর্ণনাঃ

prime number between  45 and 72 are - 47,53,59,61,67 and 71.

Total: 6

প্রশ্নঃ How much fence will be needed to enclose a rectangular field that is 600 cm wide and 3000 cm long?

বর্ণনাঃ

perimeter = 2(600+3000) = 7200 cm = 72 m

প্রশ্নঃ Mr. X lost a wallet containing Tk. 120 . Incidentally, he had only notes of Tk. 2 and Tk. 5 denominations in the wallet . If the total number of notes was 30 , how many Tk. 5 denomination notes did he have?

বর্ণনাঃ

Let,

no. of  tk.2 notes x

and no. of tk.5 notes y

x + y = 30.............(i)

so, x = 30 - y

2x + 5y  =120.............(ii)

Now,

2(30 -  y) + 5y = 120

বা, 60 - 2y + 5y  = 120

বা,  3y = 60

so, y  = 20

প্রশ্নঃ For (a+b) =7 and ab = 12, (a-b) =?

বর্ণনাঃ

দেওয়া আছে, a+b =7,  ab=12,  a-b =?

আমরা জানি,(a-b)²=(a+b)²-4ab

                                      =(7)²-4✘12

                                     = 49 -48= 1

অতএব, a-b = 1

প্রশ্নঃ The price per unit of a product increases by 25% . The actual Taka increase in the unit price is Tk.1.25. What was the unit price in Taka before the price increase?

বর্ণনাঃ

If  tk. 25 increase then product price is  Tk.100

If  tk  1.25  increase then product price is

(100 * 1.25)/25 = Tk.5

প্রশ্নঃ If A>B and C<0, which of the following is correct?

বর্ণনাঃ

A > B and C < 0 ie. C is nnegative

so, AC  < BC

প্রশ্নঃ If the average of 2x and 4x is 12, then x is equal to

বর্ণনাঃ

(2x+4x)/2 = 12

বা, 3x = 12

so, x =4

প্রশ্নঃ If 3x +9 =15, then x +2 =?

বর্ণনাঃ

3x + 9 = 15

বা, 3x  =15 - 9

বা,3x  = 6

so, x = 2

x + 2 = 2 +2 = 4