Posted on: Thu, 2008-05-01 01:24
Mind teaser Factorial Questions
Let a = 1! + 2! + 3! + . . . . .. . .. 99! + 100!
Q1. Find the reminder, when ‘a’ is divided by the product of first 7 natural numbers
a. 873
b. 746
c. 912
d. 413
e. None of the above.
Q2. Find the last two digits of ‘a’
a. 3
b. 9
c. 13
d. 19
e. 23
Q3. The number ‘a’ is ______ and ‘a/2’ is________.
a. Even, Even
b. Even, Odd
c. Odd, Odd
d. Odd, Even
e. None of the above
Q4. Find the remainder, when ‘a’ is divided by 168
a. 33
b. 129
c. 153
d. 67
e. 9
Q5. Number of digits in the number ‘a’ are
a. 137
b. 283
c. 314
d. 189
e. None of the above
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Q2. Find the last two digits of ‘a’
a. 3
b. 9
c. 13
d. 19
e. 23
ans is 13
Little Star
n/a
Q1. Find the reminder, when ‘a’ is divided by the product of first 7 natural numbers
a. 873
b. 746
c. 912
d. 413
e. None of the above.
ans is a(873)
Little Star
n/a
Q4. Find the remainder, when ‘a’ is divided by 168
a. 33
b. 129
c. 153
d. 67
e. 9
ans is 33(a)
Little Star
n/a
Q3. The number ‘a’ is ______ and ‘a/2’ is________.
a. Even, Even
b. Even, Odd
c. Odd, Odd
d. Odd, Even
e. None of the above
last digit is 13 so a is odd ans when a divided by 2 so reminder 1 so a/2 also odd
Little Star
n/a
can u explain the solution in detail
n/a
1!+2!+3!+4!+5!+6!=873
n/a
just consider upto 9! as the 10! ends up with 2 0`s
=>13
n/a
hi can anyone explain solution in detail and what about ans of Q5 i think it should be none of these please do explain.
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