GATE Questions

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synchronous motor can operate at lag lead and unity power factor also why because it is mainly depends on excitation

A callous person is insensitive or emotionally hardened.

Hence, Callous is the opposite of Sympathetic, kind hearted, sensitive, nice,...

Mooring buoy are white with a blue horizontal band. They usually are placed in marinas and other areas where boats are allowed to anchor. These are the only buoys you may tie up to legally.

A homogeneous mixture is also called as solution.

The term "solution" is more frequently used when a homogeneous mixture is a liquid, although it is sometimes used if the homogeneous mixture is a gas.

Another name for a solid homogeneous mixture of metals is an alloy.

We know that in A.P series
18th term = a + 17d
29th term = a + 28d
But given
a + 17d = 29..........(i)
a + 28d = 18......... (ii)
Solving equation (i) and (ii), we get
d = -1
put d = -1 in any of the above equations and we get,
a = 46
Now, we know 49th term can be written as, a + 48d
putting the value of a and d in the above equation,
a + 48d = 46 + 48(-1)
= 46 - 48
= -2

Hence, the 49th term is -2.

20% of 120

20 x 120/100

= 4 x 6

= 24

Hence, 20% of 120 = 24.

In each row, the second figure is obtained from the first figure by adding two mutually perpendicular line segments at the centre and the third figure is obtained from the first figure by adding four circles outside the main figure.