1
GATE EE 2019
MCQ (Single Correct Answer)
+2
-0.67
How many integers are there between 100 and 1000 all of whose digits are even?
A
100
B
90
C
60
D
80
2
GATE EE 2019
MCQ (Single Correct Answer)
+2
-0.67
Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y. The product of elements having minimum and maximum values in the set Z is ____________.
A
$${1 \over {12}}$$
B
$${1 \over 8}$$
C
$${1 \over 6}$$
D
$${3 \over 8}$$
3
GATE EE 2018
MCQ (Single Correct Answer)
+2
-0.6
An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible?
A
6,760
B
13,520
C
40,560
D
1,05,456
4
GATE EE 2018
MCQ (Single Correct Answer)
+2
-0.6
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys?
A
0
B
$${{325} \over {864}}$$
C
$${{525} \over {864}}$$
D
$${{5} \over {12}}$$

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