Quantitative Aptitude - Arithmetic Ability Questions

x and y are two numbers such that their mean proportion is 9 and third proportion is 243. What is the value of x and y?

24 men can repair a road in 50 days. If they are joined by 16 more men, then in how much time (in days) the road can be repaired?

9 women can complete a work in 50 days. If more 6 women were added to them, how many days before the work can be completed?

Ram cycles 5 km in the south, and turns left to travel 5 km further. From there, he takes a right turn and travels 5 km more. How far is he from his original position?

The average weight of Somdev, Gurdeep and Ritu is 85 kg. If the average weight of Somdev and Gurdeep be 79 kg and that of Gurdeep and Ritu be 73 kg, then the weight of Gurdeep is

20 pens and 46 pencils were purchased for Rs. 235. If the average price of a pencil is Rs. 2.50 then calculate the average price (in Rs.) of a pen.

Δ DEF is right angled at E. If m∠D = 30°, what is the length of DE (in cm), if EF = 6√3 cm?

If x3+ 2x2– 5x + k is divisible by x + 1, then what is the value of k?