AIEEE Questions

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Let number of pages in a book = p

According to questions

p - [3p/7 + (2/5 x 4p/7)] = 36

= p - 23p/35 = 36

=> 12p = 36 × 35

p = 105

Given a secret is told to 3 persons in 3 minutes.
And if the process continues with each person saying 3 other persons,
In 30 minutes => the rocess for 10 times because each person time is 3 minutes.
Required number of persons = 3 + 32 + 33 + .... + 39 + 310

Now it forms a geometric progression,

Sum to n terms is S = arn - 1r - 1

Here a = 3, r = 3

 
=> 59048 x 3 /2

= 88572.

Let the age of the youngest child is 'X' years.
Then the child elder than the yongest is 'X + 3' yrs
Since each have 3yrs difference upto 5 children
And given that
=> X + X+3 + X+6 + X+9 + X+12 = 50
=> 5X + 30 = 50
=> X = 4 yrs.

Sodium hydroxide - NaOH is caustic soda

Sodium carbonate - Na2CO3 is washing soda

Sodium bicarbonate - NaHCO3  is baking soda 

Bleak means an area of land lacking vegetation and exposed to the elements like deserts.

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

Given,
S.I = 3 Principal Amount
=> 3A = A x 16 x R/100
By solving, we get
=> R = 18.75%

Second denotes the class to which the first belongs to. Here Malaria belongs to disease class and similarly, Spear belongs to weapon class.

Hence,  Malaria : Disease :: Spear : Weapon.