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Mathematical Skills Practise Tests


1.
Let R = { ( 3, 3 ) ( 6, 6 ) ( ( 9, 9 ) ( 12, 12 ), ( 6, 12 )( 3, 9 )( 3, 12 ),( 3, 6 ) } be a relation on the set A = { 3, 6, 9, 12 }.The relation is
1.  reflexive and transitive
2.  reflexive only
3.  an equivalence relation
4.  reflexive and symmetric only
5. none of these



2.
Two persons A and B 81 miles apart from each other, start traveling towards each other at the same time. If 'A' covers 5 miles per hour to the B's 4 miles per hour, how far will B have traveled when they meet?
1. 29
2. 34
3. 36
4. 52
5. none of these



3.
If A and B are dependent events then P(A ∩ B) is
1. P(A) + P(B)
2. P(A) X P(B)
3. P(A) X P(A/B)
4. P(A) X P(B/A)
5. none of the above



4.
How many liters of water must be evaporated from 20 liters of a 30% salt solution to produce a 50% salt solution?
1. 10 liters
2. 9 liters
3. 8 liters
4. 6 liters
5. none of these



5.
When two dice are rolled, find the probability of getting a greater number on the first die than the one on the second, given that the sum should equal 8.
1. 2/36
2. 5/36
3. 5/36
4. 2/5
5. none of the above