KVPY Government Jobs Exams

How many six-digit numbers are there in which no digit is repeated, even digits appear at even places, odd
digits appear at odd places and the number is divisible by 4 ?
(A) 3600 (B) 2700 (C) 2160 (D) 1440

Read Solution (Total 1)

1440

Number of ways =
4P2 x 4P2 x 10 = 1440
11 years agoHelpfull: Yes(0) No(1)

KVPY Other Question

Let kˆ jˆ iˆ u = 2 − + r , kˆ v = −3ˆj + 2 r be vectors in R3 and w r be a unit vector in the xy-plane. Then the maximum
possible value of | (u r × v r ) .w r | is- The number of natural numbers n in the interval [1005, 2010] for which the polynomial 1 + x + x^2 + x^3 + …. x^n–1
divides the polynomial 1 + x^2 + x^3 + x^4 + …. + x^2010 is-
(A) 0 (B) 100 (C) 503 (D) 1006