1
GATE PI 2014
Numerical
+2
-0
A simple random sample of $$100$$ observations was taken form a large population. The sample mean and the standard deviation were determined to be $$80$$ and $$12,$$ respectively. The standard error of mean is ______.
2
GATE PI 2014
+2
-0.6
Marks obtained by $$100$$ students in an examination are given in the table

What would be the mean, median, and mode of the marks obtained by the students?

A
Mean $$33;$$ Median $$35;$$ Mode $$40$$
B
Mean $$35;$$ Median $$32.5;$$ Mode $$40$$
C
Mean $$33;$$ Median $$35;$$ Mode $$35$$
D
Mean $$35;$$ Median $$32.5;$$ Mode $$35$$
3
GATE PI 2012
+2
-0.6
A box contains $$4$$ red balls and $$6$$ black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is
A
$$1/20$$
B
$$1/12$$
C
$$3/10$$
D
$${\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}$$
4
GATE PI 2012
+2
-0.6
An automobile plant contracted to buy shock absorbers from two suppliers $$X$$ and $$Y$$. $$X$$ supplies $$60$$% and $$Y$$ supplies $$40$$% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of $$X'$$ s shock absorbers, $$96$$% are reliable. Of $$Y'$$ s shock absorbers, $$72$$% are reliable. The probability that a randomly choosen shock absorber, which is found to reliable, is made by $$Y$$ is
A
$$0.288$$
B
$$0.334$$
C
$$0.667$$
D
$$0.720$$
GATE PI Subjects
Engineering Mechanics
Theory of Machines
Machine Design
Fluid Mechanics
Thermodynamics
Casting
Joining of Materials
Metal Forming
Machine Tools and Machining
Metrology
Industrial Engineering
EXAM MAP
Medical
NEET