GATE Questions

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Helioseismology is the study of the solar interior using observations of waves on the Sun's surface. It has done much to improve our understanding of the interior of the Sun, testing the physical inputs used to model stellar interiors and providing a detailed map of the Sun's structure and internal rotation.

The given number series is 2, 16, 3, 81, 4, ?

2

2^4 = 16

3

3^4 = 81

4

4^4 = 256

Hence, the next number is 256.

Michel earns Rs. 135 by investing Rs. 1620
To earn Rs. 8 how much he have to invest...?

= (8 x 1620)/135 = Rs. 96

A Slip ring is a ring in a dynamo or electric motor which is attached to and rotates with the shaft, passing an electric current to a circuit via a fixed brush pressing against it.

Slip rings are usually made of Phosphor Bronze.

Slip ring motors usually have a 'phase-wound' rotor. This type of rotor has a 3-phase, double-layer, distributed winding consisting of coils used in alternators. The rotor core is made up of steel laminations which have slots to accommodate formed 3-single phase windings.

Let the speed of goods truck be 'p' kmph
Distance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs.
10p = 4 x 90
p = 36kmph.
Therefore, the speed of the goods truck is p = 36 kmph.

Let the number be 3p and 5p

ATQ,

8p = 2 x 48

p = 96/8

p = 12

The numbers are 36 and 60.

Hence, the product of the numbers = 36 x 60 = 2160.

The water cycle is a term for the movement of water between the Earth's surface, the sky and underground. Water evaporates due to heat from the sun. Hence, the water cycle is driven primarily by the energy from the sun.

This solar energy drives the cycle by evaporating water from the oceans, lakes, rivers, and even the soil. Other water moves from plants to the atmosphere through the process of transpiration.