Exams

Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.

It's answer will be 91.

Because 91 can be divisible by 7,13,91,1.

It is quite clear that prime number should be divisible only by itself and by 1.

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.

Sum = Rs.(50*100)/2*5=Rs.500

Amount=Rs.[500*(1+5/100)2]

= Rs. 551.25

 C.I = Rs.(551.25-500)= Rs.51.25

Ramdev promoted Patanjali Ayurveda and Reliance Jio have featured among the top 10 most influential brand in India, according to a study by the global research firm Ipsos.

Home grown Patanjali and Mukesh Ambani’s controlled Reliance Jio have bagged the fourth and ninth position, respectively. Interestingly, Patanjali and Reliance Jio made an impressive entry as they did not figure in the previous edition of the study.

Besides, Google has been ranked at the top slot while Microsoft and Facebook were ranked at number two and three, respectively. State Bank of India (SBI) being the only financial institution that made to the list, moved up four ranks to take the fifth position. E-commerce player Flipkart dropped three spots to take the tenth place while Amazon climbed couple of steps to take the sixth place. Other companies that made to the list include Samsung (7th) and Airtel (8th).

Heritable variation is one of the four most important factors that affect whether natural selection can occur. These factors include

1) Heritable variation

2) Descent with modification

3) Struggle for survival, and necessarily if the others are satisfied

4) Survival of the fittest.

Heritable variation allows for possibly beneficial, negative, or even neutral mutations to get filtered during each generation by natural selection--weeding out negative mutations, passing on positive and neutral ones. Without heritable variation, species would quickly fall victim to parasites who take advantage of identical genetic material in a population and evolution would not occur.

Variation is the raw material of evolution.

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