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Directions: In the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?
Statement I: p : q = 6 : 5
Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.
  • a)
    If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the question
  • b)
    If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the question
  • c)
    If data either in statement I alone or statement II alone is sufficient to answer the question
  • d)
    If data in both statements I & II together are necessary to answer the question
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Inthe questions below consists of a question and two state...
Using Statement I : No value is given, thus it is insufficient.
Using Statement II :
x2 – 9x + 20 = 0
(x – 4) (x – 5) = 0
x = 4, 5
p + 1 = 4 and 2q = 5
p = 3, q = 5/2
p + 1 = 5 and 2q = 4
p = 4 and q = 2
Multiple values are possible.
So, statement II alone is not sufficient.
Using both Statement I and II :
p + 1 = 4 and 2q = 5

p + 1 = 5 and 2q = 4
p = 4 and q = 2 (not possible)

So, both the statements are together necessary.
Hence, option D is correct.
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Directions: Inthe questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?Statement I: p : q = 6 : 5Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the questionb)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the questionc)If data either in statement I alone or statement II alone is sufficient to answer the questiond)If data in both statements I & II together are necessary to answer the questionCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Directions: Inthe questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?Statement I: p : q = 6 : 5Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the questionb)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the questionc)If data either in statement I alone or statement II alone is sufficient to answer the questiond)If data in both statements I & II together are necessary to answer the questionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Inthe questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?Statement I: p : q = 6 : 5Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the questionb)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the questionc)If data either in statement I alone or statement II alone is sufficient to answer the questiond)If data in both statements I & II together are necessary to answer the questionCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Inthe questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?Statement I: p : q = 6 : 5Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the questionb)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the questionc)If data either in statement I alone or statement II alone is sufficient to answer the questiond)If data in both statements I & II together are necessary to answer the questionCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
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What is the value of p + q?Statement I: p : q = 6 : 5Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the questionb)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the questionc)If data either in statement I alone or statement II alone is sufficient to answer the questiond)If data in both statements I & II together are necessary to answer the questionCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Inthe questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?Statement I: p : q = 6 : 5Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the questionb)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the questionc)If data either in statement I alone or statement II alone is sufficient to answer the questiond)If data in both statements I & II together are necessary to answer the questionCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: Inthe questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?Statement I: p : q = 6 : 5Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the questionb)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the questionc)If data either in statement I alone or statement II alone is sufficient to answer the questiond)If data in both statements I & II together are necessary to answer the questionCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Inthe questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:The roots of the equation ax2 + bx + c = 0 are p and q. What is the value of p + q?Statement I: p : q = 6 : 5Statement II: The roots of the equation x2 – 9x + 20 = 0 are p + 1 and 2q.a)If the data in statement I alone is sufficient to answer the question while data in statement II alone is not sufficient to answer the questionb)If the data in statement II alone is sufficient to answer the question while data in statement I alone is not sufficient to answer the questionc)If data either in statement I alone or statement II alone is sufficient to answer the questiond)If data in both statements I & II together are necessary to answer the questionCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
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