Mathematical Series Questions for Competitive Exams

A person invests money in three different schemes for 6 years, 10 years and 12 years at 10%, 12% and 15% simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investments is-

Sapna borrowed a certain sum of money from Kavita under the following repayment scheme based on simple interest. 8% p.a. for the initial 2 years, 9.5% p.a. for the next 4 years, 11% p.a. for the next 2 years, 12% p.a. after the first 8 years. Find the amount which a sum of Rs. 9000 taken for 12 years becomes at the end of 12 years?

Everybody in a room shakes hands with everybody else. The total number of hand-shakes is 55. The total number of persons in the room is:

In how many different ways can letters of the word ‘SECOND’ be arranged?

If $$ (3^{33}+3^{33}+3^{33})(2^{33}+2^{33})=6^x$$, the what is the value of x?

$$ \sqrt{.081×.484\over0.0064×6.25}=?$$

Greatest among the numbers
$$^{3}\sqrt{9},\sqrt{3},\ ^{4}\sqrt{16},\ ^{6}\sqrt{180}$$ is

If $$ \sqrt{0.04×0.4×a} =0.4×0.04×{\sqrt{b}}$$ then the value of $$ {a\over b}$$ is:

If 5^a=3125, then the value of 5^(a-3) is: