Quantitative Aptitude - Arithmetic Ability Questions

If cot2A -­ cos2A = x, then value of x is

One tap can fill a water tank in 50 mins and another tap can make the filled tank empty in 75 mins. If both the taps are open together, already half filled tank would be full in

P and Q started a business by investing Rs 50000 and Rs 40000 respectively. After 4 months, P withdraws Rs 20000 while Q invest Rs 70000 more after 6 months of starting the business. At the end of the year P’s share in the profit is Rs 11000. What will be the total profit (in Rs) at the end of year?

If Cos θ = 35/37, then what is the value of Cosec θ?

If 2A = 3B = 8C; What is A : B : C?

In the given figure, SX is tangent. SX = OX = OR. If QX = 3 cm and PQ = 9 cm, then what is the value (in cm) of OS?

If 1 + (1/2) + (1/3) + ... + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + ... + (1/40)?

Price of diesel increased from Rs 45/litre to Rs 50/litre. How much should the consumption of diesel be reduced (in %) so as to increase expenditure by only 5%?