National Bank Ltd

প্রশ্নঃ The price of a DVD Player is discounted by 10 percent, and the reduced price is then discounted again by 10 percent. The series of successive discounts is equivalent to a single discount of ----

বর্ণনাঃ

As we know that ,

Equivalent single discount =		D1 + D2 −	D1 × D2		%
			100

Single equivalent discount =		10 + 10 −	10 × 10		% = 19%
			100

প্রশ্নঃ Basar bought equal numbers of 50-paisa and 75-paisa stamps. If the total cost of the stamps was Tk. 50.00, what was the total number of stamps bought?

বর্ণনাঃ

let, equal number=x

atq,

0.75x+0.50x=50

or, 1.25x=50

or, x=40

total stamp=40+40=80 stamp

প্রশ্নঃ Each of two groups of tourists has 60 people. If three-fourth of the first group and two-third of the second group board buses to travel to a museum, how many more people of the first group board buses than that of the second group?

বর্ণনাঃ

Tourists of first group board buses is 3/4 of 60 = 45 

                 Tourists of 2nd group board buses 2/3 of 60 = 40 

                    Difference is 45 - 40 = 5

প্রশ্নঃ If an integer y is subtracted from an integer x, and the result is greater than x, then y must be :

বর্ণনাঃ

x - y > x

x = 1 এবং y = - 1 হলে, x - y = 1 - (-1) = 2>1

x = 1 এবং y = - 2 হলে, x - y = 1 + 2 = 3 >1 

y <0 হলে x - y > x শর্তটি সিদ্ধ হয়। 

প্রশ্নঃ A two-digit number has 3 in its unit digit. The sum of its digit is one-seventh of the number itself. What is the number?

বর্ণনাঃ

Since it is in the form of a two digit number, then we can write it as a decimal expansion with a three in the units place.

Let y = 10x + 3

We also know that x+3=y⋅17x+3=y⋅17

This means if we multiply both sides by 7 we get:

y=7(x+3)y=7(x+3)

y=7x+21y=7x+21

Since these are both equal to y, we can set them equal one another to find x, the tens digit value:

7x+21=10x+37x+21=10x+3

−3x+21=3−3x+21=3

−3x=−18−3x=−18

x=6x=6

y = 10x + 3 = 10(6) + 3 = 63

প্রশ্নঃ If 6 workers can complete 9 identical jobs in 3 days, how long (in days) will it take 4 workers to complete 10 such jobs?

বর্ণনাঃ

প্রশ্নঃ The area of a rectangle R with width 4 feet is equal to the area of a square S, which has a perimeter of 24 feet. The perimeter of the rectangle R, in feet, is :

বর্ণনাঃ

we know,

perimeter of square=4a

atq,

4a=24

or, a=6

so, area of square=6*6=36

according to the question,

area of rectangle=36

or, L*W=36

or, l=36/4

or, l=9

perimeter of rectangle=2*(9+4)=26 ft (ans)

প্রশ্নঃ Six consecutive whole numbers are given. The sum of the first three numbers is 27. What is the sum of the last three numbers?

বর্ণনাঃ

Let the numbers be x,x+1,x+2, x+3,x+4,x+5

So now ATQ,

x+x+1+x+2=27

So that's equal to 3x+3=27

which is equal to x+1=9.

So x=8

Now the sum of other three numbers=x+3+x+4+x+5=3x+12= 3*8+12=24+12=36

Hence Answer is 36

প্রশ্নঃ 120 students in a class play cricket or football or both. If 75 students play cricket and 60 students play football, how many play both?

বর্ণনাঃ

120 জন ছাত্রের সবাই ত্রিকেট, ফুটবল অথবা উভয়টি খেলে । যদি 75 জন ক্রিকেট এবং 60 জন

 ফুটবল খেলে, তাহলে কতজন উভয়টি খেলে ? 

শুধু ক্রিকেট খেলে = 75 জন 

এবং ফুটবল খেলে = 60 জন 

ক্রিকেট ও ফুটবল খেলে = 75 + 60 = 135 জন 

মোট ছাত্র 120 জন হলে তাদের মধ্যে উভয়টি খেলে = 135 - 120 = 15 জন । 

প্রশ্নঃ Three boys have marbles in the ratio of 19 : 5 : 3. If the boy with the least number has 9 marbles, how many marbles does the boy with the highest number have?

বর্ণনাঃ

Here 3 is equivalent to 9

So, 19 is equivalent to 9*19/3 = 57

 Ans: 57

প্রশ্নঃ After taking 30 socks out of the washing machine, Shamim noticed that the ratio of blue socks to brown socks to black socks was 2:3:5. How many black socks were in the washing machine?

বর্ণনাঃ

Dryer মেশিন থেকে 30 টি মোঝা নেয়ার পর Dina খেয়াল করলো যে নীল, বাদামি ও কালো 

রংয়ের মোজার অনুপাত হলো 2 : 3 : 5. Dryer মেশিনে কয়টি কালো রংয়ের মোজা ছিলো ? 

 Black মোজার সংখ্যা = 30 ×52+3+5×52+3+5 = 15 টি 

প্রশ্নঃ If b <2 and 2x-3b=0, which of the following must be true?

বর্ণনাঃ

given 2x-3b=0 or x =3b/2 and b<2

St 1: x>-3 lets consider possible value of b if b =-24 then x =-36 so x>-3 could be true but not must be true

St2: x<2 if b=1.9 the x= 3*1.9/2 or x> 2 so this condition could be true but not must be true

St3: x=3 for x =3 we need b=1 which is possible but again falls under could be true cause b can take any value Less than 2

St4: x<3 -------> or 3b/2<3 we get (3b-6)/2< 0 or 3b-6< 0 Or b< 2 which is same as the original given condition

প্রশ্নঃ If an inspector rejects 0.08% of a product as defective, how many units of the product will be examined in order to reject 2?

বর্ণনাঃ

0.08 % rejected

0.08 is  rejected out of 100

1 is rejected out of  = 100/(0.08) = 10000/8 = 1250

2 is rejected out of  = 2*1250 = 2500

প্রশ্নঃ Ms. Zareen purchased stock for Tk. 15,000 and 2/3 of it after its value doubled. She sold the remaining stock at 5 times its purchase price , what was her total profit?

বর্ণনাঃ

Original price:

2/3 of stock = 10000

1/3 of stock = 5000

Sale price:

2/3 doubled = 2*10000 = 20000

1/3 quintupled = 5*5000 = 25000

Total profit = Total selling price - Total purchase price of stock =

(20000 + 25000) - (10000 + 5000) = 45000 - 15000 = 30000  tk

প্রশ্নঃ A car goes 15 miles on a gallon of octane when it is driven at 50 miles per hour. When the car is driven at 60 miles per hour, it only goes 80% as far. How many gallons of octane is needed to travel 200 miles if half the distance is traveled at 50 miles per hour and the rest at 60 miles per hour?

বর্ণনাঃ

A car goes 15 km with a gallon of octane at 50 km/hr.

Again,

If travels with 60 km/hr, it goes 80% far as that of before. i.e.

D=80%×15=12 km.

Now,

According to question, if 100 km is travelled in 50 km/hr and another 100 km in 60 km/hr then,

In 50 km/hr: 1 gallon= 15 km

In 60 km/hr: 1 gallon=12 km

Hence,

Total required gallons of octane is;

100/15 + 100/12

=15 gallons.

প্রশ্নঃ The sum of two numbers is 56. If three times of the smaller number is one-half of the larger number, what is the larger number?

বর্ণনাঃ

let, the larger number=x

smaller number =x-56

atq,

3(56-x)=x/2

or,7x/2=168

or,x=24*2=48

so, the larger number is =48 (ans)

প্রশ্নঃ Mr. Zaman is insured completely for Tk. 1,50,000 against damages to his machinery. For any damage over Tk. 1,50,000 the insurance company will pay Tk. 1,50,000 plus 15% of the additional damage. For a recent accident, Mr. Zaman was paid Tk. 1,56,000 by the insurance company. What was the total amount to the damage estimated?

বর্ণনাঃ

প্রশ্নমতে, 50000 টাকার অতিরিক্ত ক্ষতিপূরণ প্রদান করেছিল = 56,000 - 50,000 = 6,000 টাকা 

   এখন, 20% ক্ষতির সমমূল্য = 6,000 টাকা 

    100% ক্ষতির সমমূল্য = 100×600020100×600020 = 30,000 টাকা 

  মোট ক্ষতির পরিমাণ = (50,000 + 30,000) 

                            = 80,000 টাকা । 

প্রশ্নঃ The country which ranks second in terms of land area is :

বর্ণনাঃ

Entries in this list include, but are not limited to, those in the ISO 3166-1 standard, which includes sovereign states and dependent territories. All 193 member states of the United Nations plus the Vatican City are given a rank number. Largely unrecognised states not in ISO 3166-1 are included in the list in ranked order. The areas of such largely unrecognised states are in most cases also included in the areas of the more widely recognised states that claim the same territory; see the notes in the "notes" column for each country for clarification.

প্রশ্নঃ Who is the current governor of Bangladesh Bank?

বর্ণনাঃ

Dr. Atiur Rahman

Governor of Bangladesh Bank

A.N.M. Hamidullah, holding office from January 18, 1972 to November 18, 1978. Since then nine others held the office of governor in succession, the current incumbent Dr. Atiur Rahman is the 10th Governor of Bangladesh Bank appointed for four years from May 1, 2009.

প্রশ্নঃ According to ADB/World bank, the expected GDP growth rate of Bangladesh in the current fiscal year is expected to be close to :

বর্ণনাঃ

The Asian Development Bank (ADB) has projected strong economic recovery for Bangladesh in the 2020-21 fiscal year, where gross domestic product (GDP) is expected to grow by 6.8% riding on strong manufacturing and exports.

প্রশ্নঃ What does NBFI stand for?

বর্ণনাঃ

Halfway into the year, EFG Hermes continues to report solid results with our NBFI platform recording stellar growth and increasing its contribution to our top-line to 31% for the quarter up from 20% a year ago," said EFG Hermes Holding's Group CEO Karim Awad.

প্রশ্নঃ The current inflation rate of Bangladesh is close to which of the following?

বর্ণনাঃ

In 2019, the inflation rate in Bangladesh amounted to about 5.48 percent compared to the previous year. For the next few years, inflation in Bangladesh is forecast to stay around 5.5 percent.