Quantitative Aptitude - Arithmetic Ability Questions

A car travels a certain distance at 24 km/h and comes back at 36 km/h. Find the average speed for total journey.

If a+b-62+a2b2+1+2b=2ab+2a, then the value of a is 

$$\begin{gathered} ∆ABC is similar to ∆PQR. If ratio of perimeters of ∆ABC and ∆PQR is 1:2 and \\ if PQ = 10 cm then what is the length of AB (in cm)? \end{gathered}$$

The discount offered on a Shirt of Rs 500 and a pair of Trousers of Rs 1000 is 20% and 40% respectively. If Ajay bought 2 Shirt and 3 pair of Trousers then what was the effective discount ( in %) he recieved?

If 13x2 = 172 - 92, find the value of x?

One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?

p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?

In a match, average of runs scored by 7 players is 53. If the runs scored by 6 players are 121, 40, 26, 56, 37 and 48, then how many runs did the 7th player scored?