a) 36
b) 56
c) 96
d) 16
4^2468 = 2^4936 = 2^4920 x 2^16 = (2^20)^246 x 2^10 x 2^6 = 76 x 24 x 64 = 36
2. Find the remainder when 55^55 divided by 8.
a) 1
b) 7
c) 5
d) 6
3. 234^234! + 567^567! What is the last digit?
a) 5
b) 1
c) 7
d) 3
4. Find the rightmost non-zero number of 89!
a) 4
b) 6
c) 8
d) 2
5. Find the remainder 1010101010…………… (110 digits) when divided by 375.
a) 10
b) 260
c) 135
d) 110
6. What is the remainder when 87^87 is divided by 35.
a) 13
b) 27
c) 23
d) 17
7. Find the highest power of 17 in 120! – 119!
a) 0
b) 9
c) 7
d) 8
8. Find the last three digits of 37^97
a) 317
b) 347
c) 147
d) 547
9. The number of integers z such that 4 < 4^Z < 4000, and 3^Z + 3is perfectly divisible by 3 and 4, is
a) 2
b) 3
c) 4
d) 5
10.Ayan bought ‘x’ roses for ‘y’ rupees, where ‘x’ and ‘y’ are integers. If he had bought 39 more roses he would have got all for Rs. 15 and saved 60 paisa a dozen. Find the value of x + y where ratio of x and y is 4 ?
Source: safalta
a) 45
b) 30
c) 16
d) 36