Bissoy.com
Doctors Medicines MCQs Q&A

Each question below is followed by two statements I and II. 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. In an election there are three candidates A, B and C.What is the difference between the votes received by A and C if 15% of voters in the city didn't cast their vote? I A got 40% votes and got 7650 less votes than combined votes of B and C. Difference between the votes of B and C is 1850. B got more votes than C. II To win the election a candidate requires 33% of the total eligible votes and A won the election by 450 votes.

Each question below is followed by two statements I and II. 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. In an election there are three candidates A, B and C.What is the difference between the votes received by A and C if 15% of voters in the city didn't cast their vote? I A got 40% votes and got 7650 less votes than combined votes of B and C. Difference between the votes of B and C is 1850. B got more votes than C. II To win the election a candidate requires 33% of the total eligible votes and A won the election by 450 votes. Correct Answer <p>If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.</p>

Let the total voters in the election be 100x

15% people didn't cast their vote

∴ Total votes cast = 100x – 15x = 85x

Using statement I

A got 40% votes 

Votes recieved by A = (40/100) × 85x = 34x 

Combined votes of B and C = 34x + 7650

⇒ B + C = 34x + 7650      ---(i)

⇒ B + C = 51x

x= 7650/17  = 450

B → Votes recieved by B

C → Votes recieved by C

Also, B – C = 1850      ----(ii)

Adding (i) and (ii)

2B = 34x + 9500

⇒ B = 17x + 4750, C = 17x + 2900

∴ A – C = 34x – 17x – 2900 = 17x – 2900 = 4750

Statement I alone is sufficient to answer the question

 

Using statement II

If the total eligible votes is 100x 

To win the election = (33/100) × 100x = 33x

Votes received by A = 33x + 450 

Statement ii alone is not sufficient to answer the question 

 

Using statement I and statement II

Votes received by A 

⇒ 33x + 450 = 34 x

⇒ x = 450 

∴ Difference between the votes received by A and C

⇒ A – C = 17x – 2900 = 17 × 450 – 2900 = 4750

∴ If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Related Questions

In an election for the Legislative Assembly constituency of Nagpur, three candidates are contesting – candidate A, candidate B and candidate C. The total number of registered voters in the constituency is 10000. Out of the total registered voters, 20% did not cast their vote, and a total of 10% of the total votes casted were declared as invalid. If the candidate A got 60% of the total valid votes polled and candidate B got 20% of the total valid votes polled, find out the percentage of the total number of registered voters who voted for the candidate C.
District XYZ has 50,000 voters; out of them, 20% are urban voters and 80% rural voters. For an election, 25% of the rural voters were shifted to the urban area. Out of the voters in both rural and urban areas, 60% are honest, 70% are hardworking, and 35% are both honest and hardworking. Two candidates, A and B, contested the election. Candidate B swept the urban vote, while Candidate A found favour with the rural voters. Voters who were both honest and hardworking voted for NOTA. How many votes were polled in favour of candidate A, candidate B and NOTA, respectively?
h,J,K,L,M,N and O are the only legislators eligible to vote on Bills 1,2 and 3, each of which will be passed if at least four legislators eligible vote in favor of it. each legislator must vote on all three bills; on abstentions are possible. The following is known : *H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at lest one bill. *j must vote against Bills 1. *O Must vote against Bills 2 and 3. * L must the same way that K dose on all three bills.*N must vote the same way that O dose on all three bills. which of the following must vote in favor of Bill 1 ?
h,J,K,L,M,N and O are the only legislators eligible to vote on Bills 1,2 and 3, each of which will be passed if at least four legislators eligible vote in favor of it. each legislator must vote on all three bills; on abstentions are possible. The following is known : *H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at lest one bill. *j must vote against Bills 1. *O Must vote against Bills 2 and 3. * L must the same way that K dose on all three bills.*N must vote the same way that O dose on all three bills. If any bill is to be passed,which of the following must be among the legislators who vote in favor of it?
h,J,K,L,M,N and O are the only legislators eligible to vote on Bills 1,2 and 3, each of which will be passed if at least four legislators eligible vote in favor of it. each legislator must vote on all three bills; on abstentions are possible. The following is known : *H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at lest one bill. *j must vote against Bills 1. *O Must vote against Bills 2 and 3. * L must the same way that K dose on all three bills.*N must vote the same way that O dose on all three bills. If M votes the same way that O dose on all three bills, which of the following can be determined ?
Three companies L, M, and N participated in campus recruitment in college Z. All three companies selected an equal number of candidates. Out of the total candidates selected, 60 were selected by both L and M. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got selected by each L, M and N companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 92% less than a total number of candidates selected. The total number of students that got placed in exactly one company was what percent more than the ones that got placed in exactly two companies?
h,J,K,L,M,N and O are the only legislators eligible to vote on Bills 1,2 and 3, each of which will be passed if at least four legislators eligible vote in favor of it. each legislator must vote on all three bills; on abstentions are possible. The following is known : *H must vote against all three bills; each of the other legislators must vote in favor of at least one bill and against at lest one bill. *j must vote against Bills 1. *O Must vote against Bills 2 and 3. * L must the same way that K dose on all three bills.*N must vote the same way that O dose on all three bills. The maximum number of favorable votes that Bill 2 could receive is ---
Each question below is followed by two statements I and II. 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 amount received by Shimona? I. Samarth and Shimona started a business with an investment in the ratio of 5 ∶ 4. After 4 months Sujoy joined their business with an amount 20% more than that of Samarth after 2 more months Shimona took out 25% of her investment. The total profit obtained after the end of year is Rs.25000. II. Samarth invested Rs.7000 more than that of Shimona. Sujoy invested 9000 more than Samarth and the difference between the profit earned by them is Rs.2000.
The question below is followed by three statements I, II, and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. The river flows towards the city P from city Q. The distance between City P and City Q is 360 km. Two boats A and B run daily from city P and Q respectively at the same time and come back. Find the time when they meet the second time. Statement I: Boat A can cover 120 kilometers distance in 360 minutes in still water. Statement II: Boat B can travel 120 kilometers distance in 450 minutes in still water. Statement III: Boat B can cover 360 kilometers against the flow of the river in 1800 minutes.
In an election out of the total voters, 10% of the voters did not cast vote. Out of the two candidates who were up for the election, the winning candidate got 55% of the total votes cast and won the election by 8874 votes. Find the total number of voters.