Quantitative Aptitude - Arithmetic Ability Questions

Raj takes 2 1/3 hrs to complete a certain distance at a speed of 51 kmph. What time would Kiran take to complete the same distance at a speed of 68kmph?

A and B together do a job in 12 days and A could do the job in 20 days if he worked alone. How many days would B take to do the job if he worked alone?

Smita can finish a work in 12 days and Sam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?

Two taps P and Q can fill a tank in 24 hours and 18 hours respectively. If the two taps are opened at 11 a.m., then at what time (in p.m.) should the tap P be closed to completely fill the tank at exactly 2 a.m.?

An equal sum is invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding). The sum of interest obtained after 2 years from both the schemes is Rs 2961. If both schemes have 23% per annum interest rate, then what is the first year interest (in Rs)of simple interest scheme?

The simple and compound interest that can be earned in two years at the same rate is Rs 4000 and Rs 4180 respectively. What is the rate (percent per annum) of interest?

What is the simplified value of (cos4 A – sin4 A)?

The original price of a TV set is Rs. 6,000. If the price is discounted by 20% and then raised by 10% for service contract, the price charged by the shopkeeper is