Mathematics Problem Solving Quiz
40 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

If Vinita drives equal distances in each gear during a 100 km journey, what is the total distance she covers in the second gear?

  • 20 km
  • 60 km
  • 4 km (correct)
  • 32 km
  • In the scenario where Vinita resumes work on the ninth day, what is her effective work rate compared to her original rate?

  • Equal to original rate
  • Twice the original rate
  • Half of the original rate (correct)
  • None of the above
  • If the co-worker joins Vinita on the ninth day and they complete the work together, how much time flexibly does Vinita take to complete the task after the co-worker joins?

  • 12 days (correct)
  • 5 days
  • 10 days
  • 8 days
  • Given the ratio of the coefficients in the expansion of (x + y)n as 1:9:63, what is the value of n?

    <p>6</p> Signup and view all the answers

    If 15% of the voters did not turn up to vote in an election, what percentage of the voters actually voted?

    <p>85%</p> Signup and view all the answers

    In the voting scenario, if the winner received 200 more votes than the other candidate, what can be concluded about the total votes received by both?

    <p>The difference in votes is exactly 200.</p> Signup and view all the answers

    What is the time taken by Vinita to travel in fourth gear for a given distance, if her speed in fourth gear is five times that in first gear?

    <p>10 minutes</p> Signup and view all the answers

    If 50 voters cast invalid votes and the winner got 200 votes more than his opponent, how can we calculate the total number of voters in the voting list?

    <p>The sum of valid votes and invalid votes gives total.</p> Signup and view all the answers

    What is the solution set of the inequality $\frac{x^2 (x+1)}{(x-1)(2x+1)^3} > 0$?

    <p>(−∞, −1) ∪ (−\frac{1}{2}, 0) ∪ (1, +∞)</p> Signup and view all the answers

    When a polynomial $P(x)$ leaves a remainder of 2 when divided by $(x - 1)$, what is the value of $P(1)$?

    <p>2</p> Signup and view all the answers

    If a polynomial $P(x)$ leaves a remainder of 1 when divided by $(x - 2)$, what is $P(2)$?

    <p>1</p> Signup and view all the answers

    The minimum number of times a fair coin must be tossed so that the probability of getting at least one head exceeds 0.8 is?

    <p>7</p> Signup and view all the answers

    How many ways can a rabbit climb to the top of a staircase with 10 steps if it can take one or two steps at a time?

    <p>55</p> Signup and view all the answers

    For the polynomial described, what is the remainder when $P(x)$ is divided by $(x - 1)(x - 2)$?

    <p>3</p> Signup and view all the answers

    What range of natural numbers results in a sum of all remainders for ${n} = n - [n]$?

    <p>Natural numbers less than 10</p> Signup and view all the answers

    Which polynomial property is used when calculating remainders?

    <p>Remainder Theorem</p> Signup and view all the answers

    What is expected to rise due to the scarcity of water and costly development of new sources?

    <p>International water tensions</p> Signup and view all the answers

    Which statement best reflects the perception of water in the 21st century?

    <p>Water is recognized as the new oil of the 21st century.</p> Signup and view all the answers

    What contributes to the rising conflicts over water?

    <p>The increasing number of rivers shared by multiple countries</p> Signup and view all the answers

    Which of the following regions is experiencing strife over water resources?

    <p>The Middle East</p> Signup and view all the answers

    What is indicated about the global population in relation to fresh water?

    <p>Nearly two-thirds live in water-stressed conditions.</p> Signup and view all the answers

    How does the statement regarding the perception of water reflect societal values?

    <p>It suggests that water is undervalued compared to oil.</p> Signup and view all the answers

    In what context is the social and cultural study of Indian poetry mentioned?

    <p>It seeks to connect Indian poetry with English literature.</p> Signup and view all the answers

    What can be inferred about the environmental awareness concerning water resources?

    <p>There is growing recognition of water as a critical resource.</p> Signup and view all the answers

    What happened to the flowers placed on the mother’s grave?

    <p>They withered within a week.</p> Signup and view all the answers

    How did the pet dog react to his master’s death?

    <p>He refused to eat for several days.</p> Signup and view all the answers

    What is one main reason for the shock of heat strokes leading to death?

    <p>People underestimate heat's impact on the body.</p> Signup and view all the answers

    What does an increase in body temperature lead to according to the content?

    <p>Vital organs swell, causing death.</p> Signup and view all the answers

    What is the significance of the Sepoy Mutiny of 1857?

    <p>It is regarded as the First War of Independence.</p> Signup and view all the answers

    What did the sepoys do during the Sepoy Mutiny?

    <p>They attacked the British soldiers.</p> Signup and view all the answers

    What does the text suggest about the occurrence of heat strokes in the country?

    <p>They have become more common than before.</p> Signup and view all the answers

    How should answers be formatted for the sequencing task mentioned?

    <p>As a series of numbers without spaces.</p> Signup and view all the answers

    How many matches does a player from group-1 play with players in group-2?

    <p>2x matches</p> Signup and view all the answers

    What is the total number of matches played by a player from group-1?

    <p>10x - 1</p> Signup and view all the answers

    If there are x players in each of the four groups, how many total matches are played by all players?

    <p>(10x - 1) × 4x</p> Signup and view all the answers

    In the equations provided, what does y represent when x is negative?

    <p>4970 + x</p> Signup and view all the answers

    What is the main mathematical operation involved in calculating the total unique matches played?

    <p>Multiplication of match counts</p> Signup and view all the answers

    What mathematical expression represents the total unique matches played between two players?

    <p>(10x - 1) × 2x</p> Signup and view all the answers

    Assuming a player from group-3 plays 3x matches, what total contribution does this make to their matches?

    <p>3x</p> Signup and view all the answers

    How is the equation for y structured when x is greater than or equal to 0?

    <p>y = 4970 - x</p> Signup and view all the answers

    More Like This

    Algebra Class 10
    5 questions

    Algebra Class 10

    GainfulCitrine2332 avatar
    GainfulCitrine2332
    Algebra Problems Class 10
    48 questions
    Use Quizgecko on...
    Browser
    Browser