Complete GATE ME 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 4–6 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 2 of 22

Question 4

Open question
GAMCQ1 markNeeds review
The real variables

,

,

, and the real constants

,

,

satisfy

Given that the denominators are non-zero, the value of

is
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Question 5

Open question
GAMCQ1 markNeeds review
Take two long dice (rectangular parallelepiped), each having four rectangular faces labeled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the die is the score of the throw.
If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?
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Question 6

Open question
GAMCQ2 marksNeeds review
In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks.
Prof. P ______ (i) merely a man who narrated funny stories. ______ (ii) in his blakest moments he was capable of self-deprecating humor.
Prof. Q ______ (iii) a man who hardly narrated funny stories. ______ (iv) in his blakest moments he was able to find humor.
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