Exams

Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours.
= 170 hours.
The watch gains = (2 + 4 x 4/5) min
= 34/5 min. in 170 hrs.
Now, 34/5 min are gained in 170 hrs.
Then, 2 min are gained in (170 x 5/34 x 2) hrs.
Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.

Given:j=7% compounded semiannually making m=2 and i = j/m= 7%/2 = 3.5%
Let x represent the third payment. Then the second payment must be 2x.
PV1,PV2, andPV3 represent the present values of the first, second, and third payments.

Since the sum of the present values of all payments equals the original loan, then
PV1 + PV2  +PV3
=$4000 -------(1)

PV1
  =FV/(1 + i)^n
=$1000/(1.035)^4=
$871.44

At first, we may be stumped as to how to proceed for
PV2 and PV3. Let’s think about the third payment of x dollars. We can compute the present value of just $1 from the x dollars

pv=1/(1.035)^10=0.7089188

PV2
  =2x * 0.7089188 =
1.6270013x
PV3
  =x * 0.7089188=0.7089188x
Now substitute these values into equation ➀ and solve for x.
$871.442 + 1.6270013x + 0.7089188x
=$4000

2.3359201x
=$3128.558

x=$1339.326
Kramer’s second payment will be 2($1339.326)
=$2678.65, and the third payment will be $1339.33

Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.

If After p years , commodity X will cost 60 rupees more than the commodity Y, then

320 + 60p = 740 + 20p + 60
=> p = 12

So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.

China's amphibian aircraft, which is stated to be the world's largest, has successfully passed engine tests and is expected to make its maiden flight in the first half of the year 2017.

Private sector lender HDFC Bank has made online fund transfer through RTGS (Real Time Gross Settlement) and NEFT (National Electronic Funds Transfer) free with effect from November 1, with an aim to promote digital economy.

According to the revised charges, customers of savings and salary accounts of HDFC Bank will not have to pay any charge for transferring funds online using its RTGS and NEFT facilities.

There are two major forms of democratic government.

I. Parliamentary
II. Presidential

The citizens elect the leaders in democratic government.

The main difference is legislative and executive branches.

Executive - head of government
Legislative - how laws are made

I. Parliamentary democratic government : (example - United Kingdom )

1. Parliament = Legislature (Laws)
2. Parliament controls the power
3. Head of government is a prime minister chosen by the legislature
4. Prime minister and cabinet are members of the legislature
5. Prime minister answers to the legislature (fusion of powers)
6. The government will stay in office for a specified period unless the prime minister loses support of the majority on an important vote.
7. If this occurs- the P.M. must resign and elections are held immediately.

II. Presidential democratic government : (example - United States of America)

1. The executive and legislative branches are separate bodies elected independently by the citizens.
2. Separation of Powers
3. There are checks and balances where each branch can overrule the other.
4. The president answers to the voters, not the legislature.
5. The people elect the president, and elections are held at set intervals.