Sign Up

Have an account? Sign In Now

Sign In

Forgot Password?

Don't have account, Sign Up Here

Forgot Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Have an account? Sign In Now

You must login to ask a question.

Forgot Password?

Need An Account, Sign Up Here

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

Sign InSign Up

Abstract Classes

Abstract Classes Logo Abstract Classes Logo
Search
Ask A Question

Mobile menu

Close
Ask a Question
  • Home
  • Polls
  • Add group
  • Buy Points
  • Questions
  • Pending questions
  • Notifications
    • sonali10 has voted up your question.September 24, 2024 at 2:47 pm
    • Abstract Classes has answered your question.September 20, 2024 at 2:13 pm
    • The administrator approved your question.September 20, 2024 at 2:11 pm
    • banu has voted up your question.August 20, 2024 at 3:29 pm
    • banu has voted down your question.August 20, 2024 at 3:29 pm
    • Show all notifications.
  • Messages
  • User Questions
  • Asked Questions
  • Answers
  • Best Answers
Home/SSC Math

Abstract Classes Latest Questions

Bhulu Aich
Bhulu AichExclusive Author
Asked: May 19, 2024In: IGNOU Assignments

There were 1,350 examinees in an examination. Out of them, 700 passed in Account, 600 passed in economics, 350 passed in Statistics and 50 failed in all three subjects. Moreover, 200 passed in economics and statistics, 150 students passed in accounts and statistics, and 50 students passed in statistics oniy. With necessary Venn-diagram and formulate, calculate the number of students. (a) Passed in at least one of the three subjects. (b) Passed in all three subjects. (c) Passed in economics only. (d) Failed in Accounts.

There were 1,350 examinees in an examination. Out of them, 700 passed in Account, 600 passed in economics, 350 passed in Statistics and 50 failed in all three subjects. Moreover, 200 passed in economics and statistics, 150 students passed in ...

SSC CGLSSC MathSSC Maths Practice Questions with Solution
  1. Abstract Classes Power Elite Author
    Added an answer on May 19, 2024 at 3:48 pm

    ### Given Data: - Total examinees = 1350 - Passed in Accounts (\(A\)) = 700 - Passed in Economics (\(E\)) = 600 - Passed in Statistics (\(S\)) = 350 - Failed in all subjects = 50 - Passed in Economics and Statistics (\(E \cap S\)) = 200 - Passed in Accounts and Statistics (\(A \cap S\)) = 150 - PassRead more

    ### Given Data:
    – Total examinees = 1350
    – Passed in Accounts (\(A\)) = 700
    – Passed in Economics (\(E\)) = 600
    – Passed in Statistics (\(S\)) = 350
    – Failed in all subjects = 50
    – Passed in Economics and Statistics (\(E \cap S\)) = 200
    – Passed in Accounts and Statistics (\(A \cap S\)) = 150
    – Passed in Statistics only = 50

    ### Calculations:

    1. **Total Passed in at least one subject**:
    \[
    \text{Total passed} = 1350 – 50 = 1300
    \]

    2. **Using Venn Diagram and Principle of Inclusion-Exclusion**:

    \[
    |A \cup E \cup S| = |A| + |E| + |S| – |A \cap E| – |E \cap S| – |A \cap S| + |A \cap E \cap S|
    \]

    Let’s denote \( x = |A \cap E \cap S| \).

    3. **Substitute given values**:

    \[
    1300 = 700 + 600 + 350 – |A \cap E| – 200 – 150 + x
    \]

    Simplify the equation:

    \[
    1300 = 1650 – |A \cap E| – 350 + x
    \]

    \[
    1300 = 1300 – |A \cap E| + x
    \]

    \[
    0 = – |A \cap E| + x
    \]

    \[
    x = |A \cap E|
    \]

    To find \( |A \cap E| \):

    4. **Determine students passing only Economics**:

    From the image:
    \[
    \text{Students passing Economics only} = 600 – 200 – x = 450
    \]

    5. **Determine students passing only Accounts**:

    From the image:
    \[
    \text{Students passing Accounts only} = 700 – 150 – x = 550
    \]

    ### Correct Results:

    1. **Passed in at least one subject**:
    \[
    1300
    \]

    2. **Passed in all three subjects**:
    \[
    50
    \]

    3. **Passed in Economics only**:
    \[
    450
    \]

    4. **Failed in Accounts**:
    \[
    1350 – 700 = 650
    \]

    See less
    • 0
    • Share
      Share
      • Share onFacebook
      • Share on Twitter
      • Share on LinkedIn
      • Share on WhatsApp
  • 0
  • 1
  • 66
  • 0
N.K. Sharma
N.K. Sharma
Asked: April 4, 2024In: SSC Exam, SSC Maths

Abhishek Jain typed 50 pages at the rate of 30 pages per hour on Sunday. On Monday, he could only type 50 extra pages at the rate of 20 pages per hour. What has his average rate of typing been overall. Calculate in pages per hour?

Abhishek Jain typed 50 pages at the rate of 30 pages per hour on Sunday. On Monday, he could only type 50 extra pages at the rate of 20 pages per hour. What has his average rate of typing been ...

SSC Math
  1. Abstract Classes Power Elite Author
    Added an answer on April 4, 2024 at 2:04 am

    To find Abhishek Jain's average typing rate overall, we can use the formula: \[ \text{Average Rate} = \frac{\text{Total Pages Typed}}{\text{Total Time Spent Typing}} \] On Sunday, he typed 50 pages at the rate of 30 pages per hour. So, the time spent typing on Sunday is: \[ \text{Time on Sunday} = \Read more

    To find Abhishek Jain’s average typing rate overall, we can use the formula:

    \[
    \text{Average Rate} = \frac{\text{Total Pages Typed}}{\text{Total Time Spent Typing}}
    \]

    On Sunday, he typed 50 pages at the rate of 30 pages per hour. So, the time spent typing on Sunday is:

    \[
    \text{Time on Sunday} = \frac{\text{Pages Typed}}{\text{Rate}} = \frac{50}{30} \text{ hours}
    \]

    On Monday, he typed 50 extra pages at the rate of 20 pages per hour. So, the time spent typing on Monday is:

    \[
    \text{Time on Monday} = \frac{\text{Pages Typed}}{\text{Rate}} = \frac{50}{20} \text{ hours}
    \]

    The total pages typed over both days is:

    \[
    \text{Total Pages Typed} = 50 + 50 = 100 \text{ pages}
    \]

    The total time spent typing is:

    \[
    \text{Total Time Spent Typing} = \text{Time on Sunday} + \text{Time on Monday} = \frac{50}{30} + \frac{50}{20} \text{ hours}
    \]

    Now, we can calculate the average rate:

    \[
    \text{Average Rate} = \frac{\text{Total Pages Typed}}{\text{Total Time Spent Typing}} = \frac{100}{\frac{50}{30} + \frac{50}{20}} \text{ pages per hour}
    \]

    \[
    \text{Average Rate} = \frac{100}{\frac{5}{3} + \frac{5}{2}} = \frac{100}{\frac{10}{6} + \frac{15}{6}} = \frac{100}{\frac{25}{6}} = \frac{100 \times 6}{25} = \frac{600}{25} = 24 \text{ pages per hour}
    \]

    So, Abhishek Jain’s average typing rate overall is 24 pages per hour.

    See less
    • 0
    • Share
      Share
      • Share onFacebook
      • Share on Twitter
      • Share on LinkedIn
      • Share on WhatsApp
  • 0
  • 1
  • 55
  • 0
Bhulu Aich
Bhulu AichExclusive Author
Asked: April 4, 2024In: SSC Exam, SSC Maths

Mr. Sinha distributes a certain sum of money among his five sons, one daughter and his wife in such a way that each son gets double the amount of his daughter and the wife gets double the amount of each son. If each son gets Rs. 15000, what was the total amount distributed?

Mr. Sinha distributes a certain sum of money among his five sons, one daughter and his wife in such a way that each son gets double the amount of his daughter and the wife gets double the amount of ...

SSC Math
  1. Abstract Classes Power Elite Author
    Added an answer on April 4, 2024 at 2:03 am

    Let's assume the amount received by the daughter is \(x\). According to the problem, each son gets double the amount of the daughter, so each son gets \(2x\). It is given that each son receives Rs. 15,000, so we can set up the equation: \[2x = 15,000\] Solving for \(x\), we get: \[x = \frac{15,000}{Read more

    Let’s assume the amount received by the daughter is \(x\). According to the problem, each son gets double the amount of the daughter, so each son gets \(2x\). It is given that each son receives Rs. 15,000, so we can set up the equation:

    \[2x = 15,000\]

    Solving for \(x\), we get:

    \[x = \frac{15,000}{2} = 7,500\]

    So, the daughter receives Rs. 7,500.

    The wife receives double the amount of each son, which is:

    \[2 \times 15,000 = 30,000\]

    Now, the total amount distributed is the sum of the amounts received by all family members:

    \[5 \times (\text{amount received by each son}) + \text{amount received by the daughter} + \text{amount received by the wife}\]

    \[= 5 \times 15,000 + 7,500 + 30,000 = 75,000 + 7,500 + 30,000 = 112,500\]

    Therefore, the total amount distributed by Mr. Sinha is Rs. 112,500.

    See less
    • 1
    • Share
      Share
      • Share onFacebook
      • Share on Twitter
      • Share on LinkedIn
      • Share on WhatsApp
  • 0
  • 1
  • 47
  • 0

Sidebar

Ask A Question

Stats

  • Questions 21k
  • Answers 21k
  • Popular
  • Tags
  • Pushkar Kumar

    Bachelor of Science (Honours) Anthropology (BSCANH) | IGNOU

    • 0 Comments
  • Pushkar Kumar

    Bachelor of Arts (BAM) | IGNOU

    • 0 Comments
  • Pushkar Kumar

    Bachelor of Science (BSCM) | IGNOU

    • 0 Comments
  • Pushkar Kumar

    Bachelor of Arts(Economics) (BAFEC) | IGNOU

    • 0 Comments
  • Pushkar Kumar

    Bachelor of Arts(English) (BAFEG) | IGNOU

    • 0 Comments
Academic Writing Academic Writing Help BEGS-183 BEGS-183 Solved Assignment Critical Reading Critical Reading Techniques Family & Lineage Generational Conflict Historical Fiction Hybridity & Culture IGNOU Solved Assignments IGNOU Study Guides IGNOU Writing and Study Skills Loss & Displacement Magical Realism Narrative Experimentation Nationalism & Memory Partition Trauma Postcolonial Identity Research Methods Research Skills Study Skills Writing Skills

Users

Arindom Roy

Arindom Roy

  • 102 Questions
  • 104 Answers
Manish Kumar

Manish Kumar

  • 49 Questions
  • 48 Answers
Pushkar Kumar

Pushkar Kumar

  • 57 Questions
  • 56 Answers
Gaurav

Gaurav

  • 535 Questions
  • 534 Answers
Bhulu Aich

Bhulu Aich

  • 2 Questions
  • 0 Answers
Exclusive Author
Ramakant Sharma

Ramakant Sharma

  • 8k Questions
  • 7k Answers
Ink Innovator
Himanshu Kulshreshtha

Himanshu Kulshreshtha

  • 10k Questions
  • 11k Answers
Elite Author
N.K. Sharma

N.K. Sharma

  • 930 Questions
  • 2 Answers

Explore

  • Home
  • Polls
  • Add group
  • Buy Points
  • Questions
  • Pending questions
  • Notifications
    • sonali10 has voted up your question.September 24, 2024 at 2:47 pm
    • Abstract Classes has answered your question.September 20, 2024 at 2:13 pm
    • The administrator approved your question.September 20, 2024 at 2:11 pm
    • banu has voted up your question.August 20, 2024 at 3:29 pm
    • banu has voted down your question.August 20, 2024 at 3:29 pm
    • Show all notifications.
  • Messages
  • User Questions
  • Asked Questions
  • Answers
  • Best Answers

Footer

Abstract Classes

Abstract Classes

Abstract Classes is a dynamic educational platform designed to foster a community of inquiry and learning. As a dedicated social questions & answers engine, we aim to establish a thriving network where students can connect with experts and peers to exchange knowledge, solve problems, and enhance their understanding on a wide range of subjects.

About Us

  • Meet Our Team
  • Contact Us
  • About Us

Legal Terms

  • Privacy Policy
  • Community Guidelines
  • Terms of Service
  • FAQ (Frequently Asked Questions)

© Abstract Classes. All rights reserved.