We can easily Answer this by taking some values.

The question states that the two fractions, each have values between 0 and 1.

Let us say one of the fraction is 1/2 and the other fraction is 1/3 .

The product of the two fractions is 1/2 x 1/3 = 1/6 .
 is lesser than both 1/2  and 1/3 .

So, the correct answer is that the product is always less than either of the original fractions. 

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).

we can select the 5 member team out of the 8 in 8C5 ways = 56 ways.

The captain can be selected from amongst the remaining 3 players in 3 ways.

Therefore, total ways the selection of 5 players and a captain can be made = 56x3 = 168 ways.

(or)

Alternatively, A team of 6 members has to be selected from the 8 players. This can be done in 8C6 or 28 ways.

Now, the captain can be selected from these 6 players in 6 ways.

Therefore, total ways the selection can be made is 28x6 = 168 ways.

1. The National Green Tribunal banned the use of ‘Chinese’ kite strings, made of nylon or any synthetic material on the grounds that it poses threat to life and environment.

2. The Tribunal directed all state governments to prohibit the “manufacture, sale, storage, purchase and use” of synthetic manja or nylon threads and all other synthetic strings used for flying kites with immediate effect.

3. A bench headed by NGT Chairperson Justice Swatanter Kumar ordered the authorities to ban import of any synthetic manja.

India’s leading cueist Pankaj Advani teamed up with Laxman Rawat to demolish Pakistan in the final of the Asian Team Snooker Championship by 3-0 in Bishskek, Kyrgyszstan on July 5, 2017. With the title and the win in the final, Advani remained the only player not to lose a single individual match in the team event. This title brings up Advani’s second Asian title this season and 8th overall while it was a first major first international title for Rawat.

Here pairs interchanged are

2, 4 

3, 8

5, 6

Unchanged are 0, 1, 7, 9

Let the price of 1 litre of diesel be Rs.x and let Karthik initially buy 'y' litres of diesel.
Therefore, he would have spent Rs. xy on diesel.

When the price of diesel increases by 25%, the new price per litre of diesel is 1.25x.

Karthik intends to increase the amount he spends on diesel by 15%.
i.e., he is willing to spend xy + 15% of xy = 1.15xy

Let the new quantity of diesel that he can get be 'q'.
Then, 1.25x x q = 1.15xy
Or q = (1.15/1.25)y = 0.92y.

As the new quantity that he can buy is 0.92y, he gets 0.08y lesser than what he used to get earlier.

Or a reduction of 8%.