Sonali Bank Limited senior officer Written Math solution
Exam Date: 30-06-2018
a. A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much fast does he have to work to grade the remaining papers in the allotted time?
b. A two digit number is four times the sum of the two digits. If the digits are reversed, the number so obtained is 18 more than the original number. What is the original number?
c. solve x2-yx=7, y2+xy=30
d. Someone plans to invest x taka in the bond ‘M’ company, which pays 10% interest and y taka in ‘N’ company bonds, which pays 9% interest. He will invest 9000 taka and require that he receives 850 taka as interest. How much should he invest in each company?
e. A committee of 5 persons is to be formed from 6 male and 5 female members. In how many ways this committee can be formed so that there at least 1 male and 1 female member in the committee?
f. A circle is inscribed inside a right angle triangle with equal sides. What is the area of the circle if the length of one side of the right angled triangle is 4cm?
g. The length of a tangent drawn from a point A is 12 cm which is 13 cm away from the centre of the circle. Find the diameter of the circle
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