AIEEE Questions

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x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3)

As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5)

As (√10 + 3) > (√8 + √7) > (√6 + √5)

z < x < y.

Indira Gandhi the first Prime Minister of India is known as the Iron Lady of India.

K's brother's wife's father-in-law is K's brother's father i.e. K's father. K's father's daughter is K's Sister.
L is daughter of K's sister => K is L's Uncle or Aunt.

Let the two-digit number be 10a + b
a + b = 12 --- (1)
If a>b, a - b = 6
If b>a, b - a = 6
If a - b = 6, adding it to equation (1), we get
2a = 18 => a =9
so b = 12 - a = 3
Number would be 93.
if b - a = 6, adding it to the equation (1), we get
2b = 18 => b = 9
a = 12 - b = 3.
Number would be 39.
There fore, Number would be 39 or 93.

Here given Interest earned = Rs. 2260

Time = 3 years

Rate of interest = ?

Principal Amount = ?

So, it can't be determined.

The pattern in the given series is +4, +9, +16, +25, ... i.e. 22,32,42,52...

The next number is 284+25 = 309.

Verification of a login name and password is known as Authentication.

we can treat every two consecutive terms as one.
So, we will have a total of 100 terms of the nature:
(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....

We know the sum of n terms  nn+12

Now, a= 7, d=6 and n=100
Hence the sum of the given series is
S= 100/2 x[2 x 7 + 99 x 6]
=> 50[608]
=> 30,400.