Prime number less than 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

Correct Option: C

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

Correct Option: D

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

Correct Option: C

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

Correct Option: B

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

Correct Option: C

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