Are at least 10% of the people in Country X who are 65 years old or older employed?
1) In Country X, 11.3% of the population is 65 years old or older.
2) In Country X, of the population 65 years old or older, 20% of the men and 10% of the women are employed.
1) In Country X, 11.3% of the population is 65 years old or older.
2) In Country X, of the population 65 years old or older, 20% of the men and 10% of the women are employed.
Question 2:
If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?
A. 5 to 4
B. 3 to 2
C. 2 to 1
D. 5 to 1
E. 6 to 1
B. 3 to 2
C. 2 to 1
D. 5 to 1
E. 6 to 1
Detailed explanation will be posted in 24 hrs time. Discuss the answers using comment option
Thanks,
Quant-Master
Posts
Q 1 is B
ReplyDeleteI am not able to get the answer for Q2. I used P(10,5) / P(10,4) and got 1 to 5
Q2
ReplyDeleteNo. of ways to select and arrange 5 alphabets from a set of 10 =10C5x5! ---------(1)
Similarly, no. of ways to select and arrange 4 alphabets from a set of 10= 10C4x4! ---------(2)
dividing (1) by (2), we get 6:1
Hence, answer is (E)
Another piece of advice, avoid using 'P' and use 'C' instead... nPk= nCk x k!
ReplyDeleteit really helps maintain clarity...
Solution to Question 1:
ReplyDeleteQuestion 1:
Are at least 10% of the people in Country X who are 65 years old or older employed?
1) In Country X, 11.3% of the population is 65 years old or older.
2) In Country X, of the population 65 years old or older, 20% of the men and 10% of the women are employed.
Statement 1 says 11.3% 0f the population is 65 yrs old or older than that but it fails to provide any data about number of working people in this age. Hence insufficient
Statement 2 says among the people who are 65 years old or older 20% of the men and 10% of the women are working.
In general weightage problem if you say of the population comprising x and y kind of people 10% of x and 20% of y are working total % of population working will definitely be between 10 and 20% Hence statement 2 alone is suffiecient.
Hence B
Let me know if you have any queries.
Thanks,
Quant-Master
Solution to Question 2:
ReplyDeleteIf a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?
A. 5 to 4
B. 3 to 2
C. 2 to 1
D. 5 to 1
E. 6 to 1
We have 10 letters to select from
Forming 5 letter code:
we can choose first number in 10 ways (since 10 alphabets are available and you can select either of the 10)
2nd number in 9 ways since only 9 alphabets are available now.
similary 3rd number in 8 ways, 4th number 7 ways and 5th number 6 ways hence total way of forming the 5 letter code is 10*9*8*7*6 ---(1)
Forming 4 letter code:
In the same manner above 1st number 10 ways
2nd in 9 ways,3rd in 8 ways and 4th number in 7 ways hence total ways is 10*9*8*7---(2)
Ratio of (1)/(2) is 10*9*8*7*6/10*9*8*7 = 6/1
Hence E. Let me know if you have any queries.
Regards,
Quant-Master