numbr question

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OSO
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Q1. X is the product of first 12 natural numbers. What is the reminder when V is divided by 1000?
a. 4                b. 400             c. 600                   d. 6

Q2. In any set of x distinct integers chosen from the set {1, 4, 7, 10, . . . .97, 100} there will always be two distinct integers whose sum is 104. what is the smallest possible value of x?
a. 17             b. 18               c. 19                 d. 20

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Number of 2’s = 12/2 +
Number of 2’s = 12/2 + 12/4 + 12/8 = 6 + 3 + 1 = 10
Number of 3’s = 12/3 + 12/9  = 4 + 1 = 5
Number of 5’s = 12/5   =  2
Number of 7’s = 12/7   =  1
Number of 11’s = 12/11   =  1
 
Number of Zeros = 2 ß two 2 and two 5
Eight 2’s -> last digit 6
Five 3’s -> last digit 3
One 7 and one 11
So last digit -> 18 x 7 -> 6 x 11 -> 6
 
Reminder is 600
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2 nd ans

Q2. In any set of x distinct integers chosen from the set {1, 4, 7, 10, . . . .97, 100} there will always be two distinct integers whose sum is 104. what is the smallest possible value of x?
a. 17             b. 18               c. 19                 d. 20

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Abhishek_mba's picture
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Anser is C) only member of

Anser is C) only member of the given set....

rut
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answer of this question is

answer of this question is 17.
Sol.

     given set={1,4,7,...,97,100}.
      counting from 1 and reverse counting from 100 till 53 gives 17.

rut
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answer of first qs. is

answer of first qs. is single digit.
because 2*5=10 and 10*10=100,this 100 is cancelled out by two 0's of 1000.
i think ans. should be 4 or 6, but i am getting 8. 

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