1
GATE EE 2019
+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 2018
+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
3
GATE EE 2018
+2
-0.6
P, Q, R and S crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available.

(i) The boat held two persons on each of the three forward trips across the lake and one person on each of the two return trips.

(ii) P is unable to row when someone else is in the boat.

(iii) Q is unable to row with anyone else except R.

(iv) Each person rowed for at least one trip.

(v) Only one person can row during a trip.

Who rowed twice?
A
P
B
Q
C
R
D
S
4
GATE EE 2018
+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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