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
Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals
A
$$1/2$$
B
$$7/15$$
C
$$2/15$$
D
$$1/3$$
3
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
$$3/16$$
4
IIT-JEE 1998
MCQ (Single Correct Answer)
+2
-0.5
A fair coin is tossed repeatedly. If the tail appears on first four tosses, then the probability of the head appearing on the fifth toss equals
A
$$1/2$$
B
$$1/32$$
C
$$31/32$$
D
$$1/5$$
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