[aryan007]

Originally Posted by pk_gt1

yes the ans is one

will try to be regular from now onwards..(in this thrd)

okay one qstn from my side

5789^(1!+2!+3!-------+1000!)has the unit digit of ?

last digit is 9 as power is odd.

[sachy24]

Originally Posted by pk_gt1

yes the ans is one

will try to be regular from now onwards..(in this thrd)

okay one qstn from my side

5789^(1!+2!+3!-------+1000!)has the unit digit of ?

unit digit is 9 as the power is odd ( coz except 1! all other factorials are even)

[shanks4mba]

Originally Posted by janvats

find the remainder when (38^16!)^1777 is divided by 17

a. 1
b. 16
c. 8
d. 13

(38^16!)^1777mod 17 is 1
option a)

[tejthekiran]

this is fermat little theorem
this can be seen rem(M^(N-1)/N) = 1 where N is a prime number
so the answer is 1*1*...............1 =

sorry for the wrong explanation
I studied post wrong
will solve and get back 2 u

[Mani_23]

Originally Posted by janvats

find the remainder when (38^16!)^1777 is divided by 17

a. 1
b. 16
c. 8
d. 13

ans:1

(38^16!)^1777=(34+4)^16!^1777/17

4^16!^1777/17

16! is divisbile by 4 so (4^2)4k^1777/17

(16+1)^4k^1777/17..

so 1 remainder.

[Mani_23]

Originally Posted by pk_gt1

yes the ans is one

will try to be regular from now onwards..(in this thrd)

okay one qstn from my side

5789^(1!+2!+3!-------+1000!)has the unit digit of ?

after 5!,,each term will end with 0..so we'll add 1!+2!+3!+4!= 1+2+6+24=33

and last two digits of 5!+6!-----9!=80..adding 80+33=13..

5789^13/10

(5780+9)^13/10

9^13/10=9 unit digit

[jain_ashu]

Q1)Let N be the product of five different odd prime numbers. If N is the five-digit number abcab, 4 < a < 8, how many values of N are possible?
a. 1
b. 2
c. 3
d. 4
e. more than 4

Q2) My grandfather said he was 84 years old but he was not counting the Sundays. How old my grandfather really was?
a. 96
b. 97
c. 98
d. 64

[divishth]

Originally Posted by jain_ashu

Q1)
Q2) My grandfather said he was 84 years old but he was not counting the Sundays. How old my grandfather really was?
a. 96
b. 97
c. 98
d. 64

Is it 96 years ???

[jain_ashu]

Originally Posted by divishth

Is it 96 years ???

Don't have the OA but I am too getting the same answer. But would like to know your approach especially regarding leap year part.

[Mani_23]

Originally Posted by jain_ashu

Don't have the OA but I am too getting the same answer. But would like to know your approach especially regarding leap year part.

for grandfather 7 days=6 days..

so no. of yrs=84*7/6=98