Quantitative Aptitude - Arithmetic Ability Questions

Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?

If a2sec2x - b2tan2x = c2 then the value of sec2x + tan2x is equal to (assume b2 ≠ a2 )

Two numbers are 90% and 75% lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number?

Two numbers are in the ratio of 15 : 11. If their HCF is 13, then the greater number is?

If 1/(cosecA ­ cotA) = x, then the value of x is

Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

If Shubhangi walks with a speed of 2 km/hr, then she reaches her school 5/2 minutes late but if she walks with a speed of 2.5 km/hr, then she reach 5 minutes before the scheduled time. What is the distance (in km) of her school from her house?

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is