GATE Questions

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At 9 o’clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. spaces apart.
So, the minute hand should gain = (30 - 15) minutes = 15 minutes
55 minutes will be gained in 60 min.
15 minutes spaces will be gained in ((60/55) x 15) min. = 180/11 min.
The hands will be in the same straight line but not together i.e.,in 180 degrees at 180/11 min. past 9.

If we consider the third term to be ‘x”
The 15th term will be (x + 12d)
6th term will be (x + 3d)
11th term will be (x + 8d) and
13th term will be (x + 10d).
Thus, as per the given condition, 2x + 12d = 3x + 21d.Or x + 9d = 0.
x + 9d will be the 12th term.

Thus, 12th term of the A.P will be zero.

Natural Rubber is a Polymer derived from Isoprene. 

• Natural rubber is an addition polymer that is obtained as a milky white fluid known as Latex from a Tropical Rubber Tree.

Pen names have had a certain place of their own in the world of writing. Pen names are something which every writer comes across at some time in their careers.

Indian author to use a pen name Bhanu Simha is Rabindranath Tagore. He also has Gurudev, Kabiguru as his pen names.

From the given information :

how can you go = ja da ka pa....(1)
can you come here = na ka sa ja...(2)
come and go = ra pa sa....(3)
from (1)&(2), can you = ja ka...(4)
from (2)&(3), come = sa...(5)
Using (4)&(5) in (2), we get here = na.

An M.S Excel Workbook is a collection of both Worksheets and Charts.

Angle of triangle = 180 × 3/12

= 45 deg

Other angles of the triangle are = 60 deg, 75 deg

Angle of quadrilateral

= 360 - (45 + 60 + 75)

= 180 deg

Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees.

Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.

Ans. 
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9