# AUST Written Maths

## এই পোস্টে AUST কর্তৃক নেয়া All Bank Written Questions Answer দেয়া হল।

**Work & Time**

**01.**60 men could complete a piece of work in 250 days. The worked together for 200 days. After that, the work had to be stopped for 10 days due to bad weather. How many more men should be engaged to complete the work in time? [05 Bank Officer-Cash, 2019]

**02.**12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required? [Sonali Bank Officer (FF), 2019]

**03.**Machine A, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. Machine B, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. How many minutes will it take machines A and B, working simultaneously at their respective constant rates, to produce x pounds of peanut butter? [Sonali Bank Cash Officer (FF), 2019]

## Written Math Solution of Exam Taken By Ahsanullah University of Science and Technology (AUST) has been given above.

**Ratio & Proportion**

**01.**The ratio of the numbers of boys and girls in a school was 5:3. Some new boys and girls were admitted to the school, in the ratio 5:7. At this, the total number of students in the school became 1200, and the ratio of boys to girls changed to 7:5. What was the number of students in the school before new admissions? [05 Bank Officer-Cash, 2019]

**02.**A product is made with three components A, B, C and the ratio of the prices are 4:3:2. After 1 year price of A increased by 10%, B increased by 8% and C decreased by 5%. What is the percentage of total increase? [Sonali Bank Officer (FF), 2019]

**03.**The cost of manufacturing a popular model car is made up of three items- cost of raw material, labor and overheads. In a year, the cost of three items were in the ratio of 4:3:2. Next year the cost of the raw material rose by 10%, labor cost increased by 8% but the overhead reduced by 5%. What is the percentage increase in the price of the car? [Sonali Bank Officer (FF), 2019]

**04.**A jar contains 81 liter pure milk. 1/3 of the milk is replaced with water again 1/3 of the resulting mixture is replaced with water. Find out the ratio of milk and water? [Sonali Bank Senior Officer (FF), 2019]

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**Percentage, Interest, Profit-Loss**

**01.**Amit deposited some money in a bank, which pays 15% interest per annum compounded yearly. If the bank provides simple interest instead of compound interest, he receives Tk. 2400 after 2 years. Find the total amount that he received after 2 years. [Sonali Bank Officer (FF), 2019]

**02.**The purchase price of a watch and wall clock is Tk. 390. If the watch is sold at 10% profit and the wall clock at 15% profit, total profit earned is Tk. 51.50. Find the purchase price difference between the wall clock and the watch. [Sonali Bank Senior Officer (FF), 2019]

**Probability**

**01.**An article manufactured by a company consists of two parts A and B. In the process of manufacture of part A, 9 out of 100 are likely to be defective. Similarly, 5 out of 100 are likely to be defective in the process of manufacture of part B. What will be the probability that the assembled part will not be defective? [05 Bank Officer-Cash, 2019]

**02.**A machine is made of two components- A and B. Of component A 7 is defective out of 100 and of B 9 is defective out of 100. What is the probability of the machine is not defective? [Sonali Bank Senior Officer (FF), 2019]

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**Speed-Distance-Time, Boat-Stream, Train**

**01.**Three runners A, B and C run a race, with runner A finishing 12 m ahead of runner B and 18 m ahead of runner C, in another race of same type runner B finished 8 m ahead of runner C. Each runner travels the entire distance at a constant speed. Find the length of the race. [05 Bank Officer-Cash, 2019]

**02.**A river is flowing at a speed of 5 kmph in a particular direction. A man, who can swim at a speed of 20 kmph in still water, starts swimming along the direction of flow of the river from point A and reaches another point B which is at a distance of 30 km from the starting point A. On reaching point B, the man turns back and starts swimming against the direction of flow of the river and stops after reaching point A. The total time taken by the man to complete his journey is? [Sonali Bank Officer (FF), 2019]

**03.**The distance between two stations ‘X’ and ‘Y’ is 450 km. A train L starts at 6:00pm from X and moves towards Y at an average speed of 60 kmph. Another train M starts from Y at 5:20pm and moves towards X at an average speed of 80 kmph. How far from X will the two trains meet and at what time? [Sonali Bank Officer (FF), 2019]

**04.**Two trains running at the rate of 75 km and 60 km an hour respectively on parallel rails in opposite directions, are observed to pass each other in 8 seconds and when they are running in the same direction at the same rates as before, a person sitting in the faster train observes that he passes the other in 31½ seconds. Find the lengths of the trains. [Sonali Bank Cash Officer (FF), 2019]

**Geometry, Area, Perimeter, Volume etc.**

**01.**A gardener plants two rectangular gardens in separate regions on his property. The first garden has an area of 600 feet and a length of 40 feet. If the second garden has a width twice that of the first garden, but only half of the area, what is the ratio of the perimeter of the first garden to that of the second garden? [Sonali Bank Cash Officer (FF), 2019]

## AUST Written Math 2018. Ahsanullah University of Science & Technology #AUST কর্তৃক নেওয়া এক্সামগুলোর লিখিত অংকের সমাধান।

**Partnership**

**01.**‘A’ began a small business with a certain amount of money. After four months from the start of the business, ‘B’ joined the business with an amount which was Tk. 6000 less than ‘A’s initial investment. ‘C’ joined the business after seven months from the start of the business with an amount which was Tk. 2000 less than A’s initial investment. At the end of the year, total investment repented was Tk. 142000. What will be A’s share in the profit, if B received Tk. 8000 as profit share? [05 Bank Officer-Cash, 2019]

**02.**A and B started a business with initial investments in the respective ratio of 18:7. After four months from the start of the business, A invested Tk. 2000 more and B invested Tk. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively, then what was the total initial investment with which A and B started the business? [Sonali Bank Officer (FF), 2019]

**03.**A, B and C are partners. ‘A’ whose money has been in the business for 4 months claims 1/8 of the profit; ‘B’ whose money has been in the business for 6 months claims 1/3 of the profit. If ‘C’ had Tk. 1560 in the business for 8 months, how much money did A and B contribute to the business? [Sonali Bank Cash Officer (FF), 2019]

**Equation**

**01.**In a certain class, 1/5 of the boys are shorter than the shortest girls in the class and 1/3 of the girls are taller than the tallest boy in the class. If there are 16 students in the class and no two people have the same height, what percent of the students are taller than the shortest girl and shorter than the tallest boy? [Sonali Bank Cash Officer (FF), 2019]

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