Bissoy.com
Doctors Medicines MCQs Q&A

Below is given a question followed by four statements I, II, & III. The question may (or may not) be answered using any or more of the given statements. You have to decide which of these statement(s) is/are sufficient to answer the given question. Pick out the appropriate option. Find the value of x I. Kiran and Rajpal can do a piece of work in x days II. Mahesh is twice efficient then Kiran III. Kiran can do work in x + 80 days and Rajpal can do in x + 20 days

Below is given a question followed by four statements I, II, & III. The question may (or may not) be answered using any or more of the given statements. You have to decide which of these statement(s) is/are sufficient to answer the given question. Pick out the appropriate option. Find the value of x I. Kiran and Rajpal can do a piece of work in x days II. Mahesh is twice efficient then Kiran III. Kiran can do work in x + 80 days and Rajpal can do in x + 20 days Correct Answer I and III are sufficient

Statement I

1/Kiran + 1/ Rajpal = 1/x

Statement II

Efficiency of Mahesh = 2 × Efficiency of Kiran

Statement III

⇒ 1/(x + 80) + 1/(x + 20) = 1/x

⇒ (x + 20 + 80 + x) / (x + 80)(x + 20) = 1/x

⇒ 100x + 2x2 = x2 + 100x + 1600

⇒ x2 = 1600

⇒ x = 40

∴ Statement II is not sufficient, I & III is needed to answer the question

Related Questions

Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right
Below is given a question followed by four statements I, II, & III. The question may (or may not) be answered using any or more of the given statements. You have to decide which of these statement(s) is/are sufficient to answer the given question. Pick out the appropriate choices. Which of the following person gives the maximum discount - Preeti or Raghav. I. Preeti gives a successive discount of 5%, 6% and 7% II Raghav gives a successive discount of 10% and 15%. III The Cost price and Marked price of an item is same for both of them
To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
Each question below is followed by three statements I, II and III. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. What is the sum of the present ages of Suresh and Mahesh? Statement I: Mahesh is 7 years elder than Suresh Statement II: 6 years before the ratio of ages of Suresh and Mahesh is 4 : 5 Statement III: Mahesh’s age after 10 years is 3 times half of the present age of Suresh.
Select from the alternatives that combination of numbers, which will form a meaningful word if given letters are arranged accordingly. \(\begin{matrix} \ \ \ \text{A} & \rm R & \rm W & \rm L & \rm E & \rm K \\\ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\\ \ \ 1 & 2 & 3 & 4 & 5 & 6 \end{matrix}\)
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient . A worker is hired for six days.He is paid Tk.2 more for each day of work than he was paid for the preceding day of work.How much was he paid for the day of work?
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient . A fly crawls around the outside of a circle once.A second fly crawls around the outside of a square once.Which fly travels further ? (1) The diagonal of the square is equal to the diagonal of the circle.(2) The fly crawling around the circle took more time to complete has journey than the fly cawing around the square.
Let A be an m × n matrix and Ban n × m matrix. It is given that determinant ($$I$$m + AB) = determinant ($$I$$n + BA), where $$I$$k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is
\[\left[ {\begin{array}{*{20}{c}} 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 \end{array}} \right
The question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. Ram can do piece of work in x days and Mahesh can do the same piece of work in y days.Find who will be paid more if they work together. I The geometric mean of x and y is 8 II The arithmetic mean of x and y is 10
The given question is followed by two statements numbered I and II. The question may or may not be answered with the help of these statements. You have to decide if these statements are sufficient to answer the question. The four employees of a company have monthly salaries that total Rs. 30,000. What is the salary of the highest paid of these employees ? Statements: I. The highest paid employee has a monthly salary that is twice as great as that of each of the other three employees. Il. The highest paid employee has a monthly salary that is exactly Rs. 6000 greater than that of each of the other 3 employees.