Real numbers
1.What is unit digit of 1ST 50 prime numbers?
A)2
B)1
C)0
D)3
2.Number of zeros at the end of 130!?
A)4
B)5
C)6
D)8
3.Is 100! divisible by 1520 ?
4.The remainder when 11995+21995+31995+41995+51995+..............19961995 is divided by 1997?
A)0
B)2
C)3
D)4
5.If (163+173+183+193) is divided by 70 then the remainder is
A)12
B)1
C)0
D)35
6.Find the unit digit of 1!1+2!2+3!3+4!4+...............+100!100?
A)3
B)7
C)5
D)4
7.What is unit digit of 24714!+ 24815!+ 24916!+ 25017!?
A)6
B)8
C)4
D)9
8.What is remainder when 31994 +2 is divided by 11 ?
A)6
B)5
C)8
D)4
9.Find the tens digit of 1!+2!+3!+4!+...............+1997!?
A)1
B)2
C)4
D)5
10.Is 270 + 370 divisible by 13 0r not?
11.What is remainder when 1n +8n -3n -6n is divided by 10?
12.What is remainder when 15+25+35.......+995+1005 is divided by 4?
13.What is remainder when (2222)5555 +(5555)2222 is divided by 7?
14.The number 39+312+315+3n is a perfect cube for an integer n then n is
A)12
b)14
c)16
D)18
15.P=1*1! +2*2!+3*3! When is remainder when P+4 is divided by 13?
16.313-310 is divisible by
A)2,3
B) 10 ,3
C)2,3,10
D)2,3,13
17.Number of factors of 720 1s
A)20
B)25
C)30
D)40
18.If N=123 *34 *52 find the number of even factors of N?
A)144
B)122
C)145
D)156
19.24345 and 33334 are divided by a certain number of 3 digits and the remainder is same in both cases .Find divisor and remainder
20.The first 100 multiples of 10 are multiplied together. How many zeroes will be there at the end of product?