Bunuel
Sam took a test that had 80 questions numbered from 1 to 80. How many of the questions did he answer correctly?
(1) He answered 3/4 of the odd numbered questions in the first half of the test correctly.
(2) He answered 7 more questions correctly in the first half of the test than in the second half of the test.
Sam took a test which contains 80 questions .
Odd numbered question = 40
Even numbered question = 40
To find the number of correct attempts C.
Statement 1: (1) He answered 3/4 of the odd numbered questions in the first half of the test correctly.
first half means 40 questions , with odd and even questions split equally - 20 each
.
3/4*20 questions are correct = 15 odd numbered questions are correct, 5 incorrect.
total correct C , we can’t find. Reason: we don’t know the even correct in first half or the number of correct (even/ odd questions) in the second half.
hence
not sufficient Statement 2: (2) He answered 7 more questions correctly in the first half of the test than in the second half of the test.
Seeing in isolation we arrive that second half correct = x, then first half correct = x+7.
total correct c = x+x+7 = 2x+7.
x ? Not know hence
not sufficient. combining statements 1 and 2: Statement 1; gives number of correct answers for first half of odd numbered questions. Hence, that value cannot be taken as x.
even numbered correct in first half ????
Hence option E