The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 20/100 = 1/5
Three are independent;probability of rich and fair complexioned girl is:
(1/4) (1/5) (1/5) = 1/125
A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 20 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 1/125
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
(A)

The integer should be divisible by: 12, 13, 14, 15 and 16, that is 3*2^2, 13, 2*7, 3*5 and 2^4. The least common multiple of these integers is the product of 13, 7, 5, 3 and 2^4. Then, R/13 is (13 * 7 * 5 * 3 * 2^4)/13 = 7*5*3*16 = 1680.
If R is the least positive integer that is divisible by every integer from 12 to 16 inclusive, then R/13 is =
Options:
(A) 40320
(B) 21840
(C) 1680
(D) 840
(E) 240
(C)

Number = (12 * 35) = 420
Correct quotient = 420/21 = 20
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?
Options:
(A) 0
(B) 12
(C) 13
(D) 20
(E) 22
(D)