এক্সিম ব্যাংক

প্রশ্নঃ A painter has painted one-third of a rectangular wall which is ten feet high. When he will paint another 75 square feet of that wall, he will have finished three-quarters of the job. What is the length (the horizontal dimension) of the wall?

বর্ণনাঃ

Given that hight of the wall is 10 m

Let Base of the wall is x m

Area of wall is 10x    sq m

Three-quarter =3/4

ATQ= According to the question

(3/4-1/3) part of wall =75 sq m

So, 1 part of wall = 180 sq m

Rectangular base of the wall is 180/10=18 m

Ans. 18 m

প্রশ্নঃ A class of 50 girls and 70 boys sponsored a party. If 40% of the girls and 50% of the boys attended the party, approximately what percent of the class attended?

বর্ণনাঃ

First, we need to find out 40% of the 50 girls. That is 50 x 0.4 = 20 girls.

Next, we need to find out 50% of the 70 boys. That is 70 x 0.5 = 35 boys.

Therefore, 20 + 35 = 55 people attended.

In total there were 50 + 70 = 120 people.

So the percent would be 55/120 = 11/24 ≈ 45.83% ≈ 46%.

প্রশ্নঃ If n is an integer between 0 and 100, then any of the following could (3n+3) except ---

বর্ণনাঃ

63=3*20+3; N=20
297=3*98+3; N=98

300=3*99+3; N=99

208=3*69+1 Not (3n+3)

প্রশ্নঃ If mx+ny=12my, then x/y+n/m= ?

বর্ণনাঃ

mx+ny=12my

mx+ny/my=12

mx/my + ny/ my =12

x/y + n/m =12

এখানে,   ১২ কে ফ্রি করার জন্য my  দ্বারা উভয় পক্ষে ভাগ করে দেওয়া হয়েছে।   তারপরে mx ও my পাবে এবং  ny ও my পাবে তাই দুইটার নিচে দেওয়া হয়েছে এবং m আর m কাটে এবং y আর y কাটে।   আশা করি বুঝতে পারছেন

ধন্যবাদ 

প্রশ্নঃ If x=3 and (x-y)2=4, then y could be ----

বর্ণনাঃ

দেওয়া আছে, x=3

প্রদত্ত রাশি,   (x-y)2=4

                     (3-y)2=4  [ x  এর মান বসিয়ে]

                    6-2y=4

                    –2y=4-6

                   -2y=–2

                    y=–2/-2

                   y=1  আশা করি বুঝতে পারছেন

                 ধন্যবাদ 

প্রশ্নঃ An item costs 90% of its original price. If Tk. 90 is added to the discount price, the cost of the item will be equal to its original price. What is the original price of the item?

বর্ণনাঃ

Let original cost price is 100%

Item cost peice is  90%

Discount  =(100-90)%=10%

ATQ

10%=90

100%= 900

Ans. 900 TK

প্রশ্নঃ A sales representative will receive a 15% commission on a sale of Tk. 28,000. If she has already received Tk. 1500 as an advance of that commission, how much more is due on the commission?

বর্ণনাঃ

15% of 28000 Tk=(28000*15/100)=4200Tk

As she received 1500 Tk Commission  already, so she will receive more(4200-1500)=2700 Tk 

প্রশ্নঃ A merchant sells a radio for Tk. 80 and thereby makes a profit of 25% of the cost. What is the ratio of cost to selling price?

বর্ণনাঃ

at 25% profit, if cost price=100, then sell price=125

now, if sell price=80, then cost price=(100*80)/125  =64

so ratio=64/80=4:5

প্রশ্নঃ Zarina has started a wholesale jewelary making business. She makes 36 bracelets a day, and sells them to local shops for TK.180 a dozen. How much does Zarina make per week if she works 5 days a week ?

বর্ণনাঃ

She makes 36 pieces 

12 pieces=1 dozen

36 pieces =3 dozen 

So, she sales per day (180*3)=540 Tk

As she works for 5 days in a week, so she can sale (540*5)=2700 tk per week

প্রশ্নঃ If Bashar can run around a ground four times in 20 minutes and Rahim can run around the same ground three times in 12 minutes, who can run around that ground more times in an hour, and how many times more can he run around ?

বর্ণনাঃ

rounds of bashar at one hr=(4*60)/20 =12

rounds of rahim at one hr=(3*60)/12 =15

difference=15-12  =3,  

ans: Rahim, three times

প্রশ্নঃ Nisha's father contributes to her savings by giving her 10% of her total savings. If Nisha saves TK.100 in June, TK.250 in July and TK.130 in August, how much will she have in savings at the end of August ?

বর্ণনাঃ

100*10%=10,     250*10%=25,     130*10%=13,

Total=100+250+130+10+25+13   =528

প্রশ্নঃ On Sunday, the price of a share was TK.560. If the price of the share was TK.630 at the closing of the day, what was the percent increase in the price of the share for the day ?

বর্ণনাঃ

incresed tk=630-560  =70,

so incresed %= (70/560)*100  =12.5

প্রশ্নঃ Rahim sells 60% of apples he had and throws away 15% of the remainder . Next day he sells 50% of the remainder and throws away the rest. What percent (in total) of his apples does Rahim throw ?

বর্ণনাঃ

Let total apple= x

At 1st day: Remaining apple=40% of x=  .4x  and throwing apple= .4x *15%=  .06x

At 2nd day:  Remaining apple=.4x-.06x=  .34x  and throwing apple= .34x *50%=  .17x

So total throwing apple=.06x+.17x= .23 x, that menas 23% of total

প্রশ্নঃ Rahim has three times as much money as Karim has. If Rahim gives Karim TK.50 then Karim will have three times as much money as Rahim will have. How much money do they have together ?

বর্ণনাঃ

প্রশ্নঃ Rahim has three times as much money as Karim has. If Rahim gives Karim TK.50 then Karim will have three times as much money as Rahim will have. How much money do they have together ?

বর্ণনাঃ
Case 1: Rahim has three times as much money as Karim has. 
let, karim's money = x, so rahim's money= 3x
Case 2: If Rahim gives Karim TK.50 then Karim will have three times as much money as Rahim will have.
After the condition - Rahim gives Karim TK.50
Karim's money =  x+50 & rahim's money = 3x-50
After the condition - Karim will have three times as much money as Rahim will have,
karim's maney = 3 * rahim's  money
or, x+50= 3(3x-50)
or, x+50 = 9x-150
or, 8x = 200
so, x = 25
So, The money do they have together is: x+ 3x = 4x = 4*25 = 100 
Answer: 100

প্রশ্নঃ In a school cricket team, players are selected from both junior section and senior section. If the ratio of juniors to seniors in the team is 3:5 , what percentage of the team members are seniors ?

বর্ণনাঃ

Sum of the whole ratio (3+5)=8 

Percentage of the seniors in the team=(5/8)*100%= 62.5%

প্রশ্নঃ If a>b>c then which of the following can never be true ?

বর্ণনাঃ

if  a>b>c

then,    a>c, and, b>c

so, a+b>c+c

or, a+b>2c

so, 2c>a+b can never be true.

প্রশ্নঃ Nader drove from Mymensingh to Dhaka at 60 miles/hour. Returning over the same route , there was a lot of traffic , and he was only able to drive at 40 miles/hour . If the return trip took 1 hour longer, what is the distance between Dhaka and Mymensingh ?

বর্ণনাঃ

Let,  s=distance between Dhaka to Mymensingh.

t= time taken to travel from Mymensingh to Dhaka

V=velocity 

We have s=vt

Hare s(distance) is constant

ATQ

v×t=v1×t1

60t=40(t+1)

t=20

So s=60×20=120 mile

Ans. 120 mile

প্রশ্নঃ Five motorbikes had a race . The Honda beat the Hero but couldn't overtake the Kawasaki . The Vespa failed to overtake the Suzuki but beat the Kawasaki . Which bike came last ?

বর্ণনাঃ

প্রশ্নঃ পাঁচটি মোটরবাইকের একটি রেস ছিল। Honda Hreoকে পরাজিত করেছিল কিন্তু Kawasaki ছাড়িয়ে উঠতে পারে নি। Vespa Suzukiকে ছাড়িয়ে যেতে ব্যর্থ হয়েছিল তবে Kawasakiকে পরাজিত করে। শেষ কোন বাইক এসেছিল?

ব্যাখ্যাঃ Hero =>Honda =>Kawasaki =>Vaspa =>Suzuki

সুতরাং সবার শেষে এসেছিল Hero

প্রশ্নঃ Jamal is taller than Pia , and Bashir is shorter than Jamal. Which of the following statements would be most accurate ?

বর্ণনাঃ

প্রশ্নঃ জামাল পিয়ার চেয়ে লম্বা, এবং বশির জামালের চেয়ে খাটো। নিম্নলিখিত বিবৃতিগুলির মধ্যে কোনটি সবচেয়ে নির্ভুল হবে?

জামাল  পিয়া এবং বশির উভয়ের চেয়ে লম্বা। কিন্তু পিয়া ও বশিরের মধ্যে সম্পর্ক বের করা অসম্ভব।

প্রশ্নঃ Fill in the blank in the series : 000, 001, 011, -

বর্ণনাঃ

প্রথম সংখ্যাটির একক, দশক ও শতকের তিনটি স্থানেই 0

দ্বিতীয় সংখ্যাটির এককের স্থানে 1 এবং বাকি দুটি স্থানে 0

তৃতীয় সংখ্যাটির একক ও দশকের স্থানে 1 এবং শতকের স্থানে 0

৪র্থ সংখ্যারি তিনটি স্থানেই 1 হবে।

প্রশ্নঃ In the following series, what comes next ? 1, A, 9, I, 17, --

বর্ণনাঃ

Here 1+8=9 and 9+8=17

A is the 1st alpahabet , I is the no 9th alphabet and q is the 17 no alphabet. so the answer is q

প্রশ্নঃ Two-fifths of the socks in box are , one-third is blue, and the rest are green. What is the ratio of the green socks to the blue socks?

বর্ণনাঃ

Red socks = 2/5 of total

Blue socks = 1/3 of total

Rest are green, so green socks

= 1-2/5+1/3 

= 1- (6+5)/15

= 1- 11/15

= (15-11)/15

= 4/15 of total

Hence, ratio of green to blue socks

= 4/15 : 1/3

= 4 : 5

So, the correct answer choice is option 1

প্রশ্নঃ If 2x+2y=7z, then what is the average of x, y and z ?

বর্ণনাঃ

Given that, 2X+2Y =7Z

So, X + Y = (7/2) Z

Now, average = X+Y+Z/ 3 = { (7/2)Z+Z} /3 = 9Z/6 = 1.5 Z

প্রশ্নঃ Faruk can do a work in 12 days and Salam can do the same work in 8 days. If Faruk , Salam and Babu work together , they can complete the work in 4 days . How many days will it take Babu to complete the work alone ?

বর্ণনাঃ

Faruk can do a work in 12 days and Salam can do the same work in 8 days. If Faruk , Salam and Babu work together , they can complete the work in 4 days . How many days will it take Babu to complete the work alone ?

in 1 day faruk can do 1/12 unit of work

in 1 day salma can do 1/8 unit of work

let asssume,

i 1 day babu can do 1/x unit of work

in 1 day babu , faruk and salma can do = (1/12 + 1/8 + 1/x) = 5x+24/24x unit of work

given that, in 4 days they can complete 1 unit of work together

so in 1 day the can do 1/4 unit of work

hence , 5x+24/24x =1/4

20x+96=24x

x=24

প্রশ্নঃ Three business partners Q, R, and S, agree to divide their total profit for a certain year in the ratios 2 : 5 : 8, respectively. If Q's share was Tk. 4000, what was the total profit of the business partners for the year?

বর্ণনাঃ

If Q's share is 4,000tk and Q get 2x,

then 2x = 4000, x = 2000.

If R gets 5, then 5x = 10000.

If S gets 8, then 8x = 16000

Q + R + S = 4000 + 10000 + 16000 = 30000