List of top Quantitative Aptitude Questions on Series

Choosing from options given which figure completes the series below? 

Choosing from options given which figure completes the series below?

Choose the figure that follows from the following pattern? 

Given that, $1^2 + 3^2 + 5^2 + 7^2 + 9^2 = 165$, then what is the value of $3^2 + 9^2 + 15^2 + 21^2 + 27^2$?
The sum of 3 numbers in A.P. is 48. The sum of their squares is 800. Find the smallest number among the three numbers.
Find the sum of first 100 even natural numbers.

Which options from the lower row shall complete the sequence of the upper in the best manner?

There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. The number of horizontal layers in the pile in this case will be how many?
Determine the 288th term of the series a,b,b,c,c,c,d,d,d,d,e,e,e,e,e,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f,f
The series: single bar → double bar → triple bar → ? (bars shift one position right each step)
a, b, c, d and e are 5 distinct numbers that form an arithmetic progression. They are not necessarily consecutive terms but form the first 5 terms of the AP. It is known that c is the arithmetic mean of a and b, and d is the arithmetic mean of b and c. Determine which of the following statements is / are true in light of the above stated information?
i. Average of all 5 terms put together is c
ii. Average of d and e is not greater than average of a and b
iii. Average of b and c is greater than average of a and d
Determine the 288th term of the series a,b,b,c,c,c,d,d,d,d,e,e,e,e,e,f,f,f,f,f,f... :