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)
+2
-0.67
Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?
A
0
B
2
C
4
D
8
4
GATE ME 2018 Set 2
MCQ (Single Correct Answer)
+2
-0.67
A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?
A
50
B
7
C
89
D
175
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Turbo Machinery
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