সমন্বিত ৮ ব্যাংক ও ১ আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার (জেনারেল)

Question: In a class, 120 students are male and 100 students are female. 25% of male students and 20% of female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?

Solution: 
Male engineering students are = 120 × 25%
=120 × 25/100
= 30
Female engineering students are = 100 × 20%
= 100 × 20/100
= 20

Total engineering student = 30 + 20 = 50

Male engineering students passed = 30 × 20% = 6
Female engineering students passed = 20× 25% = 5

So, percentage passed = {11/50 × 100}%
= 22%

Question: The area of the floor of an auditorium is 600 sq meter. How many unbroken tiles of dimension 10 x 30 cm² will be required to cover the floor completely?

Solution: 
Area of the floor = 600 sq meter

Area of one tile =10 x 30 cm²
=(10/100) x (30/100) m²
= .10 x .30 m²
= 0.03 m²

Therefore,
Tiles required = 600/.03 = 20,000 tiles

Question: The average daily wage of 10 workers is Tk. 400. If the lowest wage is Tk. 300, then what is the possible maximum wage?

Solution: 
10 জন লোকের মোট মজুরি (10 × 400) টাকা = 4000টাকা
300 টাকা করে 9 জনের মজুরি = (300 × 9) = 2700 টাকা
Possible maximum wage = (4000 - 2700) টাকা = 1300 টাকা।

Question: Ruby's height is 5.2". Ana is taller than Rubby but she is not taller than Pamela. Pamela is shorter than her cousin Rony but she is not shorter than Ruby. Who is the tallest in the group?

Solution: 
Ruby's height = 5'2"

Ana > Ruby
Ana's height > 5'2"

Ana is not taller than Pamela.
so, height of Pamela > 5'2" + x

Let
Pamela's height = (5'2" + x ) + y
Pamela < Rony.

Rony's height >( 5'2" + x) + y

Rony > Pamela > Ana > Ruby
Rony is the tallest .

Question: What is the total sum of all the interior angles of a parallelogram?
Solution: 
Sum of all interior angles of a parallelogram is 360^o

Question: The diameter of the driving wheel of a bus is 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 km per hour?

Solution: 
Speed of the bus = 66 km/hr.

Question: The perimeter of a rectangle is 20cm. If the length of the rectangle is 6cm, then its breadth will be-

Solution: 
Let the breadth be x cm.

Now
2(6 + x) = 20 cm
⇒ 12 + 2x = 20
⇒ 2x = 20 - 12
⇒ x = 8/2
x = 4 cm

Question: A man needs money for 120 days. He asked the banker for a loan and the banker charged Tk. 360 @ 6% per annum. What is the amount of loan?

Solution: 
100 টাকার 12 মাসের মুনাফা 6 টাকা 
100 টাকার 1 মাসের মুনাফা 6/12
100 টাকার 4 মাসের মুনাফা 6 × 4/১২
= 2 টাকা 

মুনাফা 2 টাকা হলে আসল 100 টাকা 
মুনাফা 1 টাকা হলে আসল 100/2 টাকা 
মুনাফা 360 টাকা হলে আসল 100 × 360/2 টাকা 
= 18000 টাকা 

বিকল্প: 
মুনাফা I = 360 
মুনাফার হার r = 6/100 
সময় n = 120 = 4 = 4/12 = 1/3 
আসল P = ?

আমরা জানি 
I = Pnr
P = I/nr
   = 360/{(1/3) × (6/100)}
  = 360/(1/50)
  = 360 × 50
  = 18000

Question: The average monthly income of P and Q is Tk. 5050. the average monthly income of Q and R is Tk. 6250 and the average monthly income of P and R is tk. 5200. Calculate the monthly income of P.

Solution: 
Let P, Q and R represent their respective monthly incomes. Then, we have:

P + Q = (5050 x 2) = 10100 .... (i)
Q + R = (6250 x 2) = 12500 .... (ii)
P + R = (5200 x 2) = 10400 .... (iii)

Adding (i), (ii) and (iii), we get:
 2(P + Q + R) = 33000  
 P + Q + R = 16500 .... (iv)

Subtracting (ii) from (iv),
we get P = 4000.

 P's monthly income = TK. 4000.

Question: A worker was hired for 7 days. Each day, he was paid Tk. 10 more than what he was paid for the previous day of work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?

Solution: 
Let
Starting payment was = x

Salary for the 1st 4 days:
x, x + 10, x + 20, x + 30

Salary for the last 3 days:
x + 40, x + 50, x + 60.

Now
sum of the salary of the 1st 4 days = sum of the salary of the last 3 days
x + x + 10 + x + 20 + x + 30 = x + 40 + x + 50 + x + 60
4x + 60 = 3x + 150
4x - 3x = 150 - 60
x = 90.

Question: Find the number of zeroes in 10 × 20 × 30 × .............× 1000

Solution: 
10 × 20 × 30 × ... × 1000
⇒ (10 × 1) × (10 × 2) × (10 × 3) × (10 × 4)  × .......... × (10 × 100)
⇒ 10¹⁰⁰ × (1 × 2 × 3 × ... × 100)
⇒ 10¹⁰⁰ × (100!)

Number of zeroes = 100 + {(100)/5 + (20)/5}
⇒ 100 + 20 + 4
⇒ 124

∴ The number of trailing zeroes in 10 × 20 × 30 × ... × 1000 is 124.

Question: In a factory, there are workers, executives and clerks. 58% of the employees are workers, 660 are executives and the remaining 264 employees are clerks. How many employees are there in the factory?

Solution: 
Let
Total employee 100%
Executive and clerks (100 - 58)% = 42%

executive and clerks employee = 660 + 264 = 924 

Now
42% employee = 924
1% employee = 924
100% employee = ( 924 × 100)/42 = 2200 

Question: Salam earns Tk. 8.50 per hour on days other than Friday and twice than the rate on Friday. Last week he worked a total of 50 hours including 8 hours on Friday. What is his earning for the week?

Solution: 
During the week Salam worked a total of 50 - 8 = 42 hours at a rate of Tk.8.5 per hour.
On Friday she worked 8 hours at a rate of Tk. 8.50 × 2 = Tk. 17.00 per hour.

Therefore her total earnings for the week were 42 × 8.50 + 8 × 17 = Tk. 493.

Question: A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

Solution: 
সমাধান:
ট্রেনটির মোট দূরত্ব অতিক্রম করতে হবে = (240 + 650) মিটার = 890 মিটার 

ট্রেনটি 240 মিটার অতিক্রম করতে সময় নেয় = 24 সেকেন্ড 
ট্রেনটি1 মিটার অতিক্রম করতে সময় নেয় = 24/240 সেকেন্ড 
ট্রেনটি 890 মিটার অতিক্রম করতে সময় নেয় = (24 × 890)/240 সেকেন্ড 
= 89 সেকেন্ড