When (2²⁴ – 1) is divided by 7, the remainder is:
4
2
0
1
( 2²⁴-1)
===>(2³)⁸ - 1
===>8⁸ - 1
now,
(8⁸ - 1)⁄₇
(8⁸)⁄₇ - {1⁄₇}
(1-1)⁄₇
⇒ 0
∴ The remainder is 0
What is the remainder when 1294×1298 is divided by 16.
(a) 14
(b) 11
(c) 12
(d) 10
3¹⁰ + 5¹⁰ is divisible by
(a) 34
(b) 26
(c) 8
(d) 20
3¹⁰ + 5¹⁰ = 9⁵ + 25⁵
We know, (a^n + b^n) is divisible by (a + b), when n is odd.
So,
3¹⁰ + 5¹⁰ is divisible by 9 + 25 = 34
What is remainder obtained if 455¹⁸ is divided by 19
(a) 0
(b) 3
(c) 4
(d) 1
455/19 we have -1 remainder
so we can write (-1)¹⁸ /19
=1/19
remainder is 1
What is remainder obtained if 2¹⁹² is divided by 6
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𝗔𝗻𝘀𝘄𝗲𝗿 = 𝟰⠀
-----------------------------⠀⠀
⠀
𝗠𝗲𝘁𝗵𝗼𝗱 𝟭 :⠀
⠀
2² = 4 .............⁴ /₆ = 4 remainder⠀
⠀
2⁴= 16 .............¹⁶/₆ = 4 remainder⠀
⠀
2⁶ = 64.............⁶⁴/₆ = 4 remainder⠀
⠀
Yaha hum delh sakte hai ki 2 ke sabhi even power ko 6 se divide krne pr 4 reminder aa rha⠀
⠀
To (2¹⁹²)/₆ ====> 4 remainder⠀
⠀
𝗠𝗲𝘁𝗵𝗼𝗱 𝟮 :⠀
⠀
(2¹⁹²)/₆ =====>⠀
⠀
====> [ {2³}⁶⁴]/₆ ⠀
⠀
====> 2⁶⁴ /₆⠀
⠀
====>[ (2⁴)¹⁶ ]/₆⠀
⠀
====>[ (-2)¹⁶ ] /₆⠀
⠀
====> [(2⁴)⁴]/₆⠀
⠀
====>[ (-2)⁴]/₆⠀
⠀
====>16/₆⠀
⠀
====> 4 Answer
A number, when divided by 114, leaves remainder 21. If the same number is divided by 19, then the remainder will be
a) 1
b) 2
c) 7
d) 17
A number, when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be
a) 9
b) 7
c) 3
d) 2
A positive integer when divided by 425 gives a remainder 45. When the same number is divided by 17, the remainder will be
a) 11
b) 8
c) 9
d) 10
A positive integer when divided by 425 gives a remainder 45. When the same number is divided by 17, the remainder will be
a) 11
b) 8
c) 9
d) 10
When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be
a) 6
b) 7
c) 5
d) 3
A number, when divided by 296, gives 75 as the remainder. Ifthesamenumberis divided by 37 then the remainder will be
a) 1
b) 2
c) 19
d) 31
A number is divided by 52, we get 27 as remainder. On dividing the same number by 13, What will be the remainder?
a) 2
b) 7
c) 1
d) None of these
If today is Sunday, Then which day is it exactly On 10¹⁰th day ❓
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𝗔𝗻𝘀𝘄𝗲𝗿 = 𝗧𝗵𝘂𝗿𝘀𝗱𝗮𝘆⠀
-----------------------------⠀⠀
₁₀¹⁰ =====>⠀
⠀
7 din bad day repeat hote hai to...⠀
⠀
(₁₀¹⁰)／₇ ⠀
⠀
===> (3¹⁰)/₇⠀
⠀
===> [ {₃3}³ × 3 ] /₇⠀
⠀
===> [ 27³ × 3 ]/₇⠀
⠀
===> [ ( -1 )³ × 3 ] /₇⠀
⠀
===> ⁻³ /₇⠀
⠀
====> 4 remainder⠀
⠀
So 𝗦𝘂𝗻𝗱𝗮𝘆 + 𝟰 𝗱𝗮𝘆𝘀 = 𝗧𝗵𝘂𝗿𝘀𝗱𝗮𝘆⠀
......................................................................