Mathematics
GATE MA Quantitative Aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 51–56 of 56. Imported answers require independent review unless marked reviewed.
Question 52
Open questionMANAT2 marksNeeds review
Let
be a random sample from a
population. For testing
against
, the most powerful test rejects
if
, where
is to be chosen such that the level of significance is 0.1. Then the power of this test equals ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 53
Open questionMAMCQ2 marksNeeds review
Let
be a random sample from a
population, where
, and let
. Then the maximum likelihood estimator of
isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 60
Open questionGAMCQ1 markNeeds review
500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329), Physics (186), Mathematics (295), Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 63
Open questionGAMCQ2 marksNeeds review
1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 64
Open questionGAMCQ2 marksNeeds review
The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 65
Open questionGAMCQ2 marksNeeds review
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot.
Which of the following is the steepest path leaving from P?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer