AIEEE Questions

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Amount = 80001+51002

= 8000 x 21/20 x 21/20 

= Rs. 8820

Cosmetic powders are prepared from Talc.

Face powder is a cosmetic powder applied to the face to set a foundation after application. It can also be reapplied throughout the day to minimize shininess caused by oily skin. There is translucent sheer powder, and there is pigmented powder.

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.

Let their present ages be 13x and 17x.
Then, 13x-4/17x-4 = 11/15.
Solving this, we get x = 2.
Required ratio = 13x2 + 6/17x2 + 6 = 32/40 = 4/5.

Agreements made between two or more states are known as Interstate compacts. These may involve several states.

* Congress generally must approve interstate compacts.

Winter sleep of animals is called hibernation and summer sleep is called aestivation.

Hence, Winter : Hibernation :: Summer : Aestivation.

It is launched vertically with an initial speed of 110 ft/sec.

It will reach maximum height when the speed drops to 0.

Vo=110 feet per second 

ho=2 feet 

So, h(t) = -16t^2 +110t +2 

Take the derivative: h'(t) = 110 -32t 

The maximum height will be at the inflection when the derivative crosses the x-axis, then h'(t)=0. 

So, set h'(t)=0 and solve for t: 

0 = 110 -32t 

-110 = -32t 

t=3.4375 

t=3.44 seconds.

The words in each pair are opposites of each other.