1.  In 1998, ratio of the numbers of students taking examinations in x and z states are respectively 3 : 5 : 6. Next year, the numbers of students are increased by 20%, 10% and 20% respectively. If ratio of the numbers of students in states x and z is 1 : 2, then find the number of students who sit to take examination in 1998.?
A. 5000
B. 6000
C. 75000
D. Data is insuffcient
E. None of the above

Answer: Option D

Explanation:

In 1998

Let number of students in x = 3k

Number of students in y = 5k and

Number of students in z = 6k

Next year,

Number of students in x = 3k + 20% of 3k = 18k/5 ------- (i)

Number of students in y = 5k + 10% of 5k = 11k/2 ------- (ii)

Number of students in z = 6k + 20% of 6k = 36k/5 -------- (iii)

According to the question, (i) & (iii)

(18k/5) / (36k/5) =  1/2

Thus, Data is insufficient.