number theory
Problems covering modular arithmetic, digit properties, factorials, and arithmetic/geometric progressions
Questions
unit digit in the following expression?31x42x36x20x19x52
- 1
- 0
- 3
- 9
- 5
number of zeros in 140! ?
- 30
- 31
- 32
- 34
- 37
the remainder when the number 1256558488578465845682554525252460 is divided by 16.
- 8
- 11
- 13
- 12
- 9
Last digit in this term exceeding zeros?
136800013600
- 4
- 2
- 8
- 6
- 5
Find the remainder when 799 is divided by 2400.
- 1
- 7
- 49
- 343
- 24
four bells ring together at 12 noon.frequency of bell ringing is 3, 4, 5, 7 seconds respectively.next time they will ring together?
- 12:05 pm
- 12:07 pm
- 12:09 pm
- 12:12 pm
- 12:15 pm
find the sum of all three digit numbers divisible by 7?
- 70336
- 70342
- 70200
- 70350
- 70340
What two digit number is less then the sum of the squares of its digit by 11 and exceeds their doubled product by 5?
- 15,95
- 15,35
- 15,125
- a,b,c above
- 25,45
Last two digit of the expression?125x62x32x65x85x95x12
- 60
- 55
- 00
- 04
- 10
Find the remainder when 2399+3299 is divided by 55?
- 1
- 54
- 5
- 0
- 2
how many terms are in the AP 15,22,29,36,43,........,190.
- 23
- 24
- 25
- 26
- 27
Find the remainder when 753x(753)3x(750)3 is divided by 7?
- 1
- 5
- 6
- 4
- 3
Remainder when 31101 is divided by 7?
- 0
- 1
- 3
- 6
- 7
Find the value of the expression 1-3+4-6+7-9........to 50 terms?
- 45
- 50
- -50
- -45
- 60
The sum of an infinite GP whose common ratio is numerically less then 1 is 32 and sum of the first two terms is 24. what will be the third term?
- 1
- 0
- 2
- 4
- 3