Question

Four digit numbers of the form N = abcd are to be formed which satisfy the conditions
(i) 4000 < N < 6000
(ii) $3\le b<c\le 6$
(iii) N is a multiple of 5 then which of the following is/are true

• A. number of such numbers is 24
• B. Number of such numbers is 48
• C. number of such even numbers is 12
• D. number of such even numbers in 24

Answer 1

Answer: (A), (C)

The correct options are
A number of such numbers is 24
C number of such even numbers is 12

N =a b c d
‘a’ can be assigned in 2 ways ( 4 or 5)
b c can be assigned in 6 ways
(34, 35, 36, 45, 46, 56)
d can be assigned in 2 ways(0 or 5)
$\therefore$ total no. Of number = $2\times 6\times 2=24$
Half of them are even