CAT Questions

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12 year old Padmalaya Nanda from Odisha has created history by becoming the youngest girl to bag the two "Little Miss Universe Internet 2017" and "Little Miss Actress" crowns at the 'Little Miss Universe-2017' at port city of Batumi in Georgia. Padmalaya Nanda, who studies in the 8th standard at a school in Cuttack, Odisha, bagged the crowns at the finale of the little Universe 2017, held at port city of Batumi in Georgia on June 4, 2017.

We know that,

Total number of balls n(S) = 26

Number of vowels n(E) = 5

Hence, required probability = n(E)/n(S) = 5/26.

Let the smallest number be x.
Then larger number = (x + 1365)
x + 1365 = 6x + 15
= 5x = 1350
x = 270
Smaller number = 270.

Let S be the sample space. Then,
n(s) = number of ways of drawing 4 pearls out of 14

= C414 ways = 14×13×12×114×3×2×1= 1001

Let E be the event of drawing 4 pearls of the same colour.
Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)

  ⇒C15+ C44+ C15 = 5+1+5 =11

 P(E) = n(E)n(S)=111001=191  

 Required probability = 1-191=9091

The place value of 0 in 103 is given by the product of digits place in the number and the digit.

Here 0 is in 10's place in 103

=> 0 x 10 = 0.

Hence, The place value of 0 in 103 = 0.