GATE Questions

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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.

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

A : B = (800 × 8+ 900+ 1000+ 1100+ 1200): (1600 × 8+ 1700+ 1800+ 1900+ 2000)
A : B = 53 : 101
Profit of A ⇒ 7700 ×53/154 = 2650 Rs.

Based on conventionality in deriving energy, energy sources could be classified as

Conventional ::

coal, oil, hydro, nuclear, etc... sources which can be used up or exhaustible.

(and)

Non - conventional ::

solar, wind, tidal, geothermal, biogas, etc... sources which are not exhausted.

Among the given options, Geothermal energy is the alternative energy source among all the choices that are given in the question, that is exhaustible.

Satellites orbit the earth at a speed of 28,000 kmph.

Satellites that are further away actually travel slower. The International Space Station has a Low Earth Orbit, about 400 kilometers (250 miles) above the earth's surface. Objects orbiting at that altitude travel about 28,000 kilometers per hour (17,500 miles per hour).

While eating a watermelon, we all go along the red and stops at green.

The only gem of world made of a single element is Diamond.

Rust forms when oxygen reacts with chemicals in rocks, and that is often the case with many other elements in general. Like a copper nail being exposed to the air will rust.