1
GATE ME 2018 Set 2
MCQ (Single Correct Answer)
+2
-0.67
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials:

(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __.

Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?
A
Two T will occur.
B
One H and one T will occur.
C
Two H will occur.
D
One H will be followed by one T.
2
GATE ME 2018 Set 2
MCQ (Single Correct Answer)
+2
-0.67
A wire would enclose an area of 1936 m2 , if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?
A
1906
B
1111
C
1243
D
2486
3
GATE ME 2018 Set 2
MCQ (Single Correct Answer)
+1
-0.33
Find the missing group of letters in the following series:

BC, FGH, LMNO, _____
A
UVWXY
B
TUVWX
C
STUVW
D
RSTUV
4
GATE ME 2018 Set 2
MCQ (Single Correct Answer)
+1
-0.33
The value of the expression

$${1 \over {1 + \log _u^{vw}}} + {1 \over {1 + \log _v^{wu}}} + {1 \over {1 + \log _w^{uv}}}$$ is
A
-1
B
0
C
1
D
3
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