1
IIT-JEE 1999
MCQ (Single Correct Answer)
+2
-0.5
If the integers $$m$$ and $$n$$ are chosen at random from $$1$$ to $$100$$, then the probability that a number of the form $${7^m} + {7^n}$$ is divisible by $$5$$ equals
A
$$1/4$$
B
$$1/7$$
C
$$1/8$$
D
$$1/49$$
2
IIT-JEE 1998
MCQ (Single Correct Answer)
+2
-0.5
If from each of the three boxes containing $$3$$ white and $$1$$ black, $$2$$ white and $$2$$ black, $$1$$ white and $$3$$ black balls, one ball is drawn at random, then the probability that $$2$$ white and $$1$$ black ball will be drawn is
A
$$13/32$$
B
$$1/4$$
C
$$1/32$$
D
$$3/16$$
3
IIT-JEE 1998
MCQ (Single Correct Answer)
+2
-0.5
There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is
A
$$1/3$$
B
$$1/6$$
C
$$1/2$$
D
$$1/4$$
4
IIT-JEE 1998
MCQ (Single Correct Answer)
+2
-0.5
If $$E$$ and $$F$$ are events with $$P\left( E \right) \le P\left( F \right)$$ and $$P\left( {E \cap F} \right) > 0,$$ then
A
occurrence of $$E$$ $$ \Rightarrow $$ occurrence of $$F$$
B
occurrence of $$F$$ $$ \Rightarrow $$ occurrence of $$E$$
C
non-occurrence of $$E$$ $$ \Rightarrow $$ non-occurrence of $$F$$
D
none of the above implications holds
JEE Advanced Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
CBSE
Class 12