In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. the total number of family members are

Registration gives you: • Tests Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan Prep. All are free for GMAT Club members. • Applicant Stats View detailed applicant stats such as GPA, GMAT score, work experience, location, application status, and more • Books/Downloads Download thousands of study notes, question collections, GMAT Club’s Grammar and Math books. All are free! and many more benefits! In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. What is the total number of family members? (A) 3 (B) 7 (C) 9 (D) 10 (E) 12 Are You Up For the Challenge: 700 Level Questions Hmm, I'm not a fan of fractions. How about we make it so that the father took 1/4 of the cookies? Since we see a 4 and a 3 in the question, let's say there were 12 cookies. The father took 1/4, so he took 3. He had three times as many cookies as each of the other family members had, so each of the other family members had 1. There were 12 and the father took 3, so there were 9 left. That means there are 9 family members aside from the father. Adding the father, there are 10. Answer choice D. _________________ GMAT/GRE Tutor - Former GMAT Master Trainer (trained new GMAT instructors) for The Princeton Review. B-schools couldn't care less about most of the content on the GMAT; the content is just a way to test how you think, not what you know. The two main sections of the GMAT are NOT Quantitative and Verbal. The...

Directions : Study the following information carefully and answer the questions given below.After a long time, for reunion and to give time to family, six Kapoor’s family members P, Q,R,S,T and U are shooting in a same city for upcoming movies. And they live in eight different floors of building. Two of the floors in the building are vacant. The lowermost floor of the building is numbered one, the one above that is numbered two, and so on till the topmost floor is numbered eight. Each one of them is shooting for different movies namely Tubelight, Rangoon Poorna, Firangi, Irada and Baadshaho (but not necessarily in the same order). There are two married couple in the family.The number of floors above U’s brother is same as the number of floors between S’s father and U’s wife. P’s son T lives at odd numbered floor above the floor numbered four. There are three people live between the two vacant floors. Only three floors between U’s wife and the one who is shooting for Firangi. The one who is shooting for Irada lives immediately above U. Only three floors are there between U and S’s grandfather. The one who is shooting for Baadshaho lives immediately above the one who is shooting for Tubelight. U’s mother lives immediately above the one who is shooting for Poorna. T is the son of P. The number of floors between T and the one who is shooting for Rangoon is one. The one who is shooting for Rangoon lives immediately below the one of the vacant floors. The floor number of the vac...

Correct Answer: 3 Explanation: a 2 + 1 = a ? a + 1/a = 1 On squaring both sides, we get a 2 + 1/a 2 + 2 = 1 On cubing both sides, we get (a 2 + 1/a 2) 3 = (-1) 3 ? a 6 + 1/a 6 + 3a 2 x 1/a 2 (a 2 + 1/a 2) = -1 ? a 6 + 1/a 6 + 3 x (-1) = -1 Now, a 6 + 1/a 6 + 1 = 3 As, a 12 + a 6 + 1 can be written as a 6 + 1/a 6 + 1 ? a 12 + a 6 + 1 = 3