Fidelity aptitude placement paper

Fidelity - I heard the name of this company for the first time when they came to our college for the campus placement. They conducted an aptitude test and some of the questions that appeared in the test are-

The perfect cube of number is:
a) 87787 b) 9889 c) 9000 d) 9261

Complete the following series.
1, 3, 7, 15, 31. __, __
a.) 62, 127 b.) 63, 126 c.) 63, 127 d.) 62, 126

In this question, a series of numbers is provided. Choose the number which should fill the ‘?’ to follow the pattern of the series.

1, 8, 9, 64, 25, 216, ‘?’, ‘?’
a.) 49, 64 b.) 343, 64 c.) 343, 81 d.) 343, 512 e.) 49, 512

If (a+b):(b+c):(c+a)= 2:3:3 and (a+b+c)= 16, then the value of c is:
a) 5 b) 6 c) 7 d) 8

What annual installment will discharge a debt of Rs. 1100 due in 3 years at 15% simple interest ?
a) Rs.456 b) Rs. 489 c) Rs. 440 d) Rs. 476

What is the least number that should be subtracted from 884740 to obtain a perfect cube?
a) 8 b) 9 c) 4 d) 7

A boy in the car notices that he can count 21 shops which are evenly spaced on a highway in one minute. If they are known to be 100 meter apart, then at what speed is the train travelling?
a) 60 kmph b) 100 kmph c) 120 kmph d) 180 kmph

How many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?