কৃষি ব্যাংক সিনিয়র অফিসার পরীক্ষার প্রস্তুতিঃ গুরুত্বপূর্ণ Mathematics (১০০টি)

19 Feb 2021

১. If a two digit positive integer has its digits reversed the resulting integer differs from the original by 27. By how much does the two digits differ?

উঃ 3

২. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to:

উঃ 123.75

৩. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is:

উঃ 35

৪. If Lalon loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Lalon’s present weigh in pounds?

উঃ 188

৫. A car washer machine can wash 8 cars in 18 minute ,how many car she can wash within 3 hours at same rate?

উঃ 80

১. If A is the area and C the circumference of a circle, which of the following is an expression for A in terms of C?

উঃ c2/4π

২. 50 minutes ago it was 45 minutes past 4 o’clock. How many minutes is it until six o’clock?

উঃ 25

৩. What comes next in this series 3, 8, 15, 24, 35, 48, 63, 80,.......?

উঃ 99

৪. If 3√x = 2√3, What is the value of x?

উঃ 1.33

৫. √((16)(20)+(8)(32)) = ?

উঃ 24

 

১. The average of x and y is 40 and that of y and z is 35. What is the value of x-z?

উঃ 10

২. Half of the pillar is under the earth one third of it is under the water, and 12 feet is above the water, what is the length?

উঃ 72 feet

৩. Total age of father and son is 42 years and the difference of their ages is 22 years. What is  son’s age now?

উঃ 10 years

৪. Arif is now 5 times as old as Babu, but 7 years from now he will be 3 times as old as Babu. How old is Arif now?

উঃ 35 years

৫. Arun, Kamal and Vinay invested Tk. 8000, Tk. 4000 and Tk. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Tk. 4005, then what will be the share of Kamal?

উঃ Tk. 890

 

১. What is the area of an equilateral triangle whose sides are 10?

উঃ 25√3

২. If the angles of a five-sided polygon are in the ratio of 2:3:3:5:5, what is the measure of the shortest angle?

উঃ 20

৩. If A is the area and C the circumference of a circle, which of the following is an expression for A in terms of C?

উঃ c2/4π

৪. 50 minutes ago it was 45 minutes past 4 o’clock. How many minutes is it until six o’clock?

উঃ 25

৫. A national issue was won by vote of 9 to 6. What  part of the total vote was against the issue?

উঃ 2/5

 

১. If the lengths of the three sides of a triangle are consecutive integers then the smallest possible value of the lengths of the three sides is-

উঃ 9

২. What is the radius of the in-circle of the triangle whose sides measure 5,12 and 13 units?

উঃ 2

৩. The angles of a triangle are in the ratio 5:4:3. How many degrees are there in the largest angle?

উঃ 75

৪. If a square mirror has a 20 inch diagonal, what is the approximate perimeter of the mirror, in inches?

উঃ 56.56

৫. What is the volume of a cube whose surface area is 96?

উঃ 64

 

১. What is 4(1/6)% as a fraction?

উঃ 1/24

২. The remainder when the positive integer m is divided by 7 is x. The remainder is (x+7) When m is divided by 14. Which one of the following could be the value of m?

উঃ 53

৩. 0.03 times of 0.05 is----

উঃ 0.0015

৪. A cake is divided into 18 pieces. If Rehana takes 1/3 of the cake and Rahim takes 1/3 of the cake left, how many pieces are left?

উঃ 8

৫. Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is-

উঃ 36

১. At a party, everyone shook hands with everyone else, If there were 66 handshakes, how many people were at the party?

উঃ 12

২. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

উঃ 720

৩. In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

উঃ 120960

৪. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?

উঃ 9

৫. A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

উঃ 1/256

 

১. a : b = 2 : 3 and a + b = 4. What is the value of (a + b): (b-a)?

উঃ 5: 1

২. In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?

উঃ 1:2

৩. Son's age is one-third of father's age. In 12 years from now son's age will be one-half of the father's age. What is the age of the son at present?

উঃ 12

৪. The ages of A and B are in the ratio 3:1, Fifteen years hence, the ratio will be 2:1. Their present ages are:

উঃ 45 years, 15 years

৫. Hamed is 7 years older than his brother Shaquib, who is twice as old as their younger sister Lopa. If Lopa is 15 years younger than Hamed. Then how old is Shaquib?

উঃ 16 years

১. Annie invested a certain sum of money in a bank that paid simple interest. The amount grew to Tk. 240 at the end of 2 years. She waited for another 3 years and got a final amount of Tk. 300. What was the principal amount that she invested at the beginning?

উঃ 200

২. The interest on a certain deposit at 4.5% p.a. is Tk 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a.?

উঃ Tk 22.50

৩. A person borrows Tk. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6(1/4)% p.a. for 2 years. Find his gain in the transaction per year.

উঃ Tk. 112.50

৪. A total of Tk. 1200 is deposited in two savings accounts for one year, one portion at 5% simple interest, and therest at 7% simple interest. If Tk. 72 was earned in interest, how much was deposited at 5%?

উঃ 600

৫. Reena took a loan of Tk. 1200 with simple interest for as many years as the rate of interest. If she paid tk. 432 as interest at the end of the loan period, what was the rate of interest?

উঃ 18

 

১. What is the purchase price of an article if the profit for selling it for Tk. 250 is 25%?

উঃ Tk. 200

২. The profit earned by selling an article for Tk. 900 is double the loss incurred when the same article is sold for Tk. 450. At what price should the article be sold to make 25% profit?

উঃ Tk. 750

৩. The production cost of one unit of an item is Tk. 10. The item can be sold for a price of Tk. 16. The company further incurs a cost of Tk. 10,000 in the selling process. How many units of the product should be sold for the company to earn a profit of Tk. 50,000?

উঃ 10,000

৪. The price of a mobile set is Tk. 4200, which includes 20% profit mark up. What is the cost of the mobile set?

উঃ Tk. 3500

৫. Peter purchased a machine for Tk. 80,000 and spent Tk. 5000 on repair and 1000 on transport and sold it with 25% profit. At what price did he sell the machine?

উঃ 107500

 

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