What is the remainder in the expression 29 ¹⁸? ₂₆

Let number be the x.
According to the equation , x - ^x?₇ = 180
? ^6x?₇ = 180
? x = 210

First whole number is 0 and when any number is multiplied with zero, then result is zero.

Position value of 6 = 10000

dividend = divisor x quotient + remainder
= ( 13 x 30) + 12
= 390 + 12
= 402

Prime number less than 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
? The number of all prime numbers less than 40 = 12.

Let the two consecutive odd number be (x + 1) and (x + 3).
According to question (x + 1) (x + 3) = 6723
? x² + 3x + x + 3 = 6723
? x² + 4x + 3 = 6723
? x² + 4x - 6720 = 0
? x² + 84x - 80x - 6720 = 0
? ( x - 80 )( x + 84 )= 0
? x = 80, (x ? -84)
Hence, the greater number = 80 + 3 = 83

Let four consecutive even numbers are x, x+2, x+4, x+6.
According to the question
? x + x+2 + x+4 + x+6 = 284
? 4x + 12 = 284
? 4x = 272
? x = 272 / 4 = 68

Allowance per day = total allowance / number of days in year
= 3832.5 / 365
= 10.5 Rupees

prime numbers between 0 and 50 are 2 3 5 7 11 13 17 19 23 29 31 37 41 43 and 47
? required number of prime number is 15