Quantitative Aptitude - Arithmetic Ability Questions

If 3A = 7B = 13C, then A : B : C is equal to

(1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to

The selling price of 6 bananas is equal to the cost price of 8 bananas. Then the percentage of profit is

Which of the fractions given below, when added to 5/8, gives 1?

The area of a trapezium is 21 sq cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side?

A person lent Rs 10000 to B for 3 years and Rs 6000 to C for 4 years on simple interest at same rate of interest and received Rs 5400 in all from both of
them as interest. What is the rate of interest (in %)?

Mansukh can do a piece of work in 10 hours. If he is joined by Jayanti who is 50% more efficient, in what time will they together finish the work?

A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?