GATE Questions

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DNA fingerprinting is used to identify the parents, thieves and rapists.

1 Gallon = 3.785 kgs

Gallon is a unit of measurement of liquid.

We know that 1 gallon = 3.785 liters

But we know that,

1 cubic meter = 1000 lit or 1000 kgs

=> 1 lit = 1 kg

Hence,  1 gallon = 3.785 lit = 3.785 kgs.

When a running car stops suddenly, the passengers tends to lean forward because of Inertia of motion.

The given expression can be simplified as

6 ÷ 2 (1 + 2)

The expression can be simplified further by the order of operations, using BODMAS rule.

First evaluate Parentheses/Brackets, then evaluate Exponents/Orders, then evaluate Multiplication-Division, and finally evaluate Addition-Subtraction.

Now, the expression becomes 6 ÷ 2 (3)

According to the order of operations, division and multiplication have the same precedence, so the correct order is to evaluate from left to right. First take 6 and divide it by 2, and then multiply by 3.

6 ÷ 2 × 3

= 3 × 3

= 9

But not  6÷2×3 = 6 ÷ 6 = 1

Hence, 6 ÷ 2 (1 + 2) = 9.

Let the marked price of the router be Rs. P

From the given data,

$$\begin{gathered} P x 85100 - P x 80100 = 51 \\ P x 5100 = 51 \\ ⇒ P = 51005 = 1020 \end{gathered}$$

Hence, the original marked price of the router is Rs. 1020.

Any integer 'i' can be written as i = i/1, which is a rational number. Clearly, 7/2,-5/4, etc... are rational numbers but they are not integers.

Hence, from the above analysis, every integer is a rational number but a rational number need not be an integer.

Therefore the given statement that 'Every rational number is an integer' is FALSE.

'M' is used as a unit of molarity and stands for mole per litre i.e, number of moles of solute per liter of solution.

Inventors and their Inventions ::

• Sir Richard Arkwright - Father of industrial revolution.

• Michael Faraday - Discovered Benzene and invented Bunsen Burner.

• Thomas Alva Edison - Invented Phonograph and motion picture camera.