Mathematics 2008 Question Papers

Sol. Two dice can be thrown in 6 × 6 = 36 ways
“Sum of two numbers greater than 10” can be
obtained as (6, 5), (5, 6), (6, 6) i.e., 3 ways
P (Sum of numbers less than or equal to 10)
= 1 – P (Sum greater than 10)

 

Or

The King, Queen and Jack of diamonds are removed from a pack of 52 cards and then the pack is well-shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of (i) diamonds, (ii) a Jack.

Sol. Total number of cards = 52
Number of cards removed = 1 + 1 + 1 = 3
Remaining cards = 52 – 3 = 49

SECTION C

Questions number 16 to 25 carry 3 marks each.

Q. 16. Show that  is an irrational number.

Sol.    

Or

Using Euclid’s division lemma, show that the square of any positive integer is either of the form 3m or 3m + 1, for some integer m.

Mathematics 2008 Question Papers Class X
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