AIEEE Questions

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The reciprocal of a negative number is always a negative number. So that the number and its reciprocal multiply to 1. 

All real numbers except 0 have reciprocals.

Digboi, in Assam is where the oldest oil refinery in India. It was build in 1901.

Given, difference of the squares of two numbers is 180.

= k² - l² - 180

Also, square of the smaller number is 8 times the larger.

= l² = 8k

Thus, k² - 8a - 180 = 0

k² – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

Thus, the other number is

324 - 180 = l² 

→ Numbers are 12, 18 or -12, 18.

The amount of money you’ll get for a given amount of your country’s currency is based on internationally determined exchange rates. Exchange rates can be either fixed or floating. Fixed exchange rates use a standard, such as gold or another precious metal, and each unit of currency corresponds to a fixed quantity of that standard that should (theoretically) exist.

The combined gas law states that the ratio between the pressure-volume product and the temperature of a system remains constant.

Hence it depends on all the three Volume, Temperature & Pressure.

Compounding interest means interest accrues on the interest charged and the principal amount each period the interest is charged.

Compound interest is calculated by multiplying the principal amount by one plus the annual interest rate raised to the number of compound periods minus one.The total initial amount of the loan is then subtracted from the resulting value.

The formula for calculating compound interest is:

[P (1 + i)n] – P

= P [(1 + i)n – 1]

(Where P = Principal, i = nominal annual interest rate in percentage terms, and n = number of compounding periods.)

Take a three-year loan of Rs. 10,000 at an interest rate of 5% that compounds annually. What would be the amount of interest? In this case, it would be:

Rs. 10,000 [(1 + 0.05)3] – 1

= 10,000 [1.157625 – 1]

= Rs. 1,576.25.

How it grows ::

Gene is a hereditary unit consisting of a sequence of DNA that occupies a specific location on a chromosome and determines a particular characteristic in an organism.

In short it is a piece or segment of chromosome.

Genes undergo mutation when their DNA sequence changes. 

We know that, when we eat a meal, any carbohydrates we've eaten are broken down into glucose and passed into the bloodstream. This rise in blood glucose causes insulin to be released from the pancreas so glucose can move inside the cells and be used. As glucose moves inside the cells, the amount of glucose in the bloodstream returns to normal and insulin release slows down.