Dhaka Bank Ltd - MTO - 2003 এর প্রশ্ন পড়ুন।

প্রশ্নঃ If the average of 5 consecutive integers is 12, what is the sum of the smallest and the largest of the 5 integers?

বর্ণনাঃ The average of 5 consecutive integers is 12
then, the sum of 5 consecutive integers is 60
x+x+1x+2+x+3+x+4= 60
5x+10=60
x=10
The lowest number is 10 and the highest number is 14 and sum of these two value will be 24

প্রশ্নঃ Two tanks are filled to capacity with automobile fuel. The first tank holds 600 gallons more than the second tank. If 100 gallons were to be pumped from each tank, the first tank would then contain 3 times as much fuel as the second tank. What is the total number of gallons of fuel in the two full tanks?

বর্ণনাঃ

1st tank holds =a gallons 

2nd tank holds = a+600 gallons 

100 gallons pumped out

so

a+600-100=(a-100)*3

a=400

1st tank holds =400 gallons 

2nd tank holds = 1000 gallons 

1st tank +2nd tank = 1400 gallons (ans)

প্রশ্নঃ At 9:00 a. m. the train Surmal left station and two hours later the train. Titas left the same station on a parallel track in the same direction. If Surma averaged 60 kilometers per hour and Titas averaged 75 kilometers per hour, at what time did Titas pass Surma?

বর্ণনাঃ

From given data,

60(x) = 75(x-2) , x is total time taken

60x = 75x - 150

15x = 150

x = 10

so total time taken is 10 hrs i.e at 7pm

প্রশ্নঃ During a month, Jalil used 1/6 of his monthly salary for a car payment and an amount which is 1.25 times more than the car payment for rent. What fraction of his monthly salary did Jalil use that month the car payment and rent combined?

বর্ণনাঃ

Let the total salary be 24 

For car payment = 1/6*24 = 4

For rent = 1/4th more than the car payment = 1/4*4 + 4 = 5

Used for car payment & rent combined = 4 + 5 = 9

Fraction used for car payment & rent combined = 9/24 = 3/8 .Ans

প্রশ্নঃ If Sabbir requires 5 minutes to make a box and Zoha requires 7 minutes to make a box, what will be the number of boxes made by Sabbir to the number of boxes made by Zoha if they work for 5 hours and 50 minutes?

বর্ণনাঃ

5 hour 50 minutes = 5 x 60 + 50 = 350 minutes

Number of boxes made by Sabbir = 350/5 = 70

Number of boxes made by Zoha = 350/7 = 50

Sabbir : Zoha = 70 : 50 = 7 : 5

প্রশ্নঃ A truck driver must complete a 180-mile trip in 4 hours. If he average 50 miles an hour for the first three hours of his trip, how fast must he travel in the final hour?

বর্ণনাঃ

d=s x t

  =50 x 3

  =150

now distance left

=180 -150

=30

thus he need s to travel 30 miles in 4th hour thus his speed should be 30 miles per hour 

প্রশ্নঃ Babul weighs twice as much as Akther. Akhter's weighs is 60% of Salam's weight. Ashraf weighs 50% of Hasan's weight, Hasan weighs 190% of Babul's weight. which if these 5 persons weighs the least?

বর্ণনাঃ

Let Akhter and Babul's weight be A and B respectively.

Then,  B = 2A       or, A = B/2 = 0.5B 

And,  Hasan's weight = 190% of B = 1.9B

Again, Ashraf weight = 50% of 1.9B = 0.95B

Also, Akhter's weight is less than Salam's weight.

So,  Akhter weighs the least.

প্রশ্নঃ The sum of the three consecutive odd numbers exceeds twice the largest number by 6. What is the sum of the three number?

বর্ণনাঃ

ধরি, প্রথম বিজোড় সংখ্যাটি হলো x. 

তাহলে পরবর্তী 2টি বিজোড় সংখ্যাগুলো হবে যথাক্রমে  (x + 2), (x + 4),

প্রশ্নমতে, x + x + 2 + x + 4 = 2(x + 4)+6

=>3x+6 = 2x+8+6

.'.x=8

  x + 2=10

  x + 4= 12

.'.সমষ্টি = 8+10+12 =30

প্রশ্নঃ Maruf's net income is always 80 percent of his gross income. What will be increase in Maruf's net income when his gross income increases from Tk. 20,000 to Tk. 30,000?

বর্ণনাঃ

Net income from gross income of 20,000 tk = 80% of 20,000 = (0.8)(20,000)

Net income from gross income of 30,000 tk= 80% of 30,000 = (0.8)(30,000)

So, the INCREASE in net income = (0.8)(30,000) - (0.8)(20,000)

= (0.8)(30,000 - 20,000)

= (0.8)(10,000)

= 8,000 tk. Ans

প্রশ্নঃ One third the sum of 13 and a certain number is the same as one more than twice the number ----

বর্ণনাঃ

(13 + x)/3 = 2x + 1

13 + x = 6x + 3 m

or, 13 - 3 = 6x - x

or, 5x = 10

or, x = 2 

প্রশ্নঃ The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers?

বর্ণনাঃ

Let the integers from smallest to largest be x-2, x-1, x, x+1 & x+2 respectively. 

Then, x - 2 + x - 1 + x + x + 1 + x + 2 = 3(x + 2)

or,  5x = 3x + 6

or,   5x - 2x = 6

or,   2x = 6

or,    x = 3

So, the largest intger is 3 + 2 = 5.

প্রশ্নঃ Four years ago Sumon's age was half of what it will be in eight years. How old is Sumon?

বর্ণনাঃ

Let Sumon's age be S.

Four years ago, his age was (S - 4).

After eight years, his age will be (S + 8).

Then,  S - 4 = (S + 8)/2

or,   2(S - 4) = S + 8

or,   2S - 8 = S + 8

or,   2S - S = 8 + 8 

or,    S = 16 years.