The amount of bacteria in a culture after som...
The amount of bacteria in a culture after some t hours is given by the function f(t) = pekt where p is a constant. What is the number of bacteria after 8 hours?
(1) There were approximately 275 bacteria after 2 hours
(2) k = 0.16
• a)
Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.
• b)
Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.
• c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• d)
EACH statement ALONE is sufficient.
• e)
Statements (1) and (2) TOGETHER are not sufficient.
The amount of bacteria in a culture after somethours is given by the f...
(1) From the function, f(t) = pekt, when t = 2,f(t) = 275. The equation becomes pe2k = 275. This is one equation in two unknowns, hence, we cannot solve it. More information is required; NOT SUFFICIENT.
(2) When k = 0.16, we have f(t) = pe0.16t. In this case, p is unknown, hence more information is required; NOT SUFFICIENT.
Considering the two cases, we have pe2k = 275 and f(t) = pe0.16t which reduced to pe2(0.16) = 275. We solve the equation We now solve the equation
When t = 8, we have
f(8) = 11.21e0.16(8) = 11.21e1.28 = 40.32
The correct answer is C; BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
 1 Crore+ students have signed up on EduRev. Have you?
1 Crore+ students have signed up on EduRev. Have you?

### Learn this topic in detail GMAT Mock Test - 8 79 Ques | 158 Mins More from Related Course Quantitative for GMAT View courses related to this question

### Quick links for GMAT exam 850+
Video Lectures 2500+
Revision Notes 600+
Online Tests 10,000+
Doubts Solved
The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer?
Question Description
The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2023 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer?.
Solutions for The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The amount of bacteria in a culture after somethours is given by the functionf(t) = pektwherepis a constant. What is the number of bacteria after 8 hours?(1) There were approximately 275 bacteria after 2 hours(2)k = 0.16a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests. (Scan QR code)