In how many different ways can the letters of the word ‘SPORADIC’ be arranged so that the vowels always come together?

(A) 3212
(B) 4320
(C) 4565
(D) 7689

In a hostel, 40% of the students play cricket, 20% play chess and 10% both. If a student is selected at random, then the probability that he plays cricket or chess is:

(A) 1/2
(B) 1/4
(C) 3/5
(D) 4/7

Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are Red or both are king?

(A) 19/221
(B) 55/221
(C) 55/190
(D) 52/221

What is the probability of the occurrence of a number that is even or less than 3 when a fair die is rolled.

(A) 2/3
(B) 3/2
(C) 5/6
(D) 6/5

Consider the example of finding the probability of selecting a red card or a 9 from a deck of 52 cards.

(A) 7/13
(B) 13/7
(C) 26/15
(D) 15/26

Michael, Johnson and David have some stones with each of the. Five times the number of stones with Johnson equals seven times the number of stones with Michael while five times the number of stones with Michael equals seven times the number of stones with David. What is the minimum number of stones that can be there with all three of them put together?

(A) 93
(B) 97
(C) 109
(D) 113

Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce, making a profit of 20 percent. What was the ratio of the mixture?

(A) 1:5
(B) 2:7
(C) 3:8
(D) 1:10

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