1. Mr. Mehta deposited Rs. 10,000 in HSBC bank at his sixth marriage anniversary and borrowed Rs. 20,000 from a money le

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1. Mr. Mehta deposited Rs. 10,000 in HSBC bank at his sixth
marriage anniversary and borrowed Rs. 20,000 from a money lender
but he could not pay any amount in a period of 1460 days.
Accordingly, the money lender demands now Rs. 26,500 from him. a.
What is the difference between the ‘Exact Method’ and ‘Ordinary
Method’? b. At what rate percent per annum compound interest did
the latter lend his money? (Use the exact method). c. Find the
number of years and the fraction of a year in which the deposit
money will treble itself at compound interest 8 percent per annum.
d. In what time will a sum of Rs. 1,234 amount to Rs. 5,678 at 8%
per annum compound interest, payable quarterly?
2. Six papers are set in an examination of which two are
mathematical. In how many different orders can the papers be
arranged so that (i) The two mathematical papers are together. (ii)
The two mathematical papers are not consecutive.
3. In an examination, a candidate is required to answer 6 out of
12 questions which are divided into two groups each containing 6
questions and he is not permitted to attempt more than 4 questions
from each group. In how many ways can he make up his
choice?
4. How many different arrangements can be made of all the
letters of the word "ACCOUNTANTS"? In how many of them the vowels
stand together?
5. Mr. Seksena takes a loan of Rs. 2000 from Mr. Mehta and
agrees to repay in a number of installments, each installment
(beginning with the second) exceeding the previous one by Rs. 10.
If the first installment be Rs. 5, find how many installments will
be necessary to wipe out the loan completely?
6. If a man deposits $ 200 at the beginning of each year in a
bank that pays 4 percent compounded annually, how much will be to
his credit at the end of 6 years?