Advertisements
Advertisements
प्रश्न
Find the remainder when 281 is divided by 17.
उत्तर
281 ≡ x (mod 17)
240 × 240 × 241 ≡ x (mod 17)
(24)10 × (24)10 × 21 ≡ x (mod 17)
(16)10 × (16)10 × 2 ≡ x (mod 17)
(165)2 × (165)2 × 2
(165) ≡ 16 (mod 17)
(165)2 ≡ 162 (mod 17)
(165)2 ≡ 256 (mod 17)
= 1 (mod 17) ...[∵ 255 is divisible by 17]
(165)2 × (165)2 × 2 ≡ 1 × 1 × 2 (mod 17)
∴ 281 ≡ 2 (mod 17)
∴ x = 2
APPEARS IN
संबंधित प्रश्न
Find the least positive value of x such that 71 ≡ x (mod 8)
Find the least positive value of x such that 78 + x ≡ 3 (mod 5)
Find the least positive value of x such that 5x ≡ 4 (mod 6)
If x is congruent to 13 modulo 17 then 7x – 3 is congruent to which number modulo 17?
Solve 5x ≡ 4 (mod 6)
What is the time 100 hours after 7 a.m.?
What is time 15 hours before 11 p.m.?
Today is Tuesday. My uncle will come after 45 days. In which day my uncle will be coming?
The duration of flight travel from Chennai to London through British Airlines is approximately 11 hours. The airplane begin its journey on Sunday at 23:30 hours. If the time at Chennai is four and half hours ahead to that of London’s time, then find the time at London, when will the flight land at London Airport?
74k ≡ _____ (mod 100)
