Home
Class 14
REASONING
Each question is followed by two stateme...

Each question is followed by two statements giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question or not.
P,Q and R are positive integers. Which is the largest number among them ?
I. `2P+4Qgt6R+P`
II. `3R+2Qlt4Q-3P`

A

if the question can be answered by using one of the statement alone, but cannot be answered by using the other statement alone.

B

if the question can be asnwered by using eithe statement alone.

C

if the question can be answered by using both the statements together but cannot be answered by using either statement alone.

D

if the question cannot be answered even by using both the statements together.

Text Solution

Verified by Experts

The correct Answer is:
A

From statement I,
`P+4Qgt6R`
`(P-R)+4(Q-R)gtR`
`:.P-R+4(Q-R)` must be positive.
`:.` at least one of P-R and Q-R must be positive
So R is not the largest number.
either P or Q is the largest `:.` Statement I is not sufficient.
From statement II,
`3Rlt2Q-3PrArr(3)/(2)R+P ltQ`
As Q exceeds `(3)/(2)` times the sum of the other two, it must be the greatest
`:.` Statement II is sufficient.
Promotional Banner

Similar Questions

Explore conceptually related problems

Each of 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. P, Q, R and S are sitting around a circle facing at the centre. Who is to the immediate right of Q? I. R is between P and S. II. S is to the immediate right of R.

Each of 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. Who is the tallest among them? I. Chandan is taller than Pankaj, who is as tall as Kanchan. II. Kanchan is shorter than Ranjan. 1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question. 2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question. 3) if the data either in statement I alone or in statement II alone are sufficient to answer the question. 4) if the data even in both statements I and II together are not sufficient to answer the question. 5) if the data in both statements I and II together are necessary to answer the question.

Each of 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. Who among M, N, P, T and R is the youngest ? I. N and T are younger than P. II. M is older than R and P.

Each of 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. Who among P, Q, R, T and W is the oldest ? I. R and T are older than P and W. II. Q is older than P but younger than R.

Each of 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 statement are sufficient to answer the question . Read both the statements and - Give answer How is P related to Q '? Statements : I. Mother of P is daughter of R II. R is sister of Q

Each of 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. Who among P, Q, R, S and T is the shortest? I. R though not the shortest, is shorter than only Q. II. S, though not as tall as P, is not the shortest.

Each of 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. Among P Q, R, S and T each having different age, who is the youngest among them? I, Q is younger than only P. II. S is older than only R. 1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question. 2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are nod sufficient to answer the question. 3) if the data either in statement I alone or in statement II alone are sufficient to answer the question. 4) if the data even in both statements I and II together are not sufficient to answer the question. 5) if the data in both statements I and II together are necessary to answer the question.

Each of 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. Who among P, Q, R, S and T is the lightest? I. R is heavier than Q and T but lighter than S. II. S is not the heaviest.

The question below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Who among A, K, M, P and R is the lightest? I. P is heavier than M, R and K, but lighter than A. II. M is lighter than P and A, but heavier than K.

Recommended Questions
  1. Each question is followed by two statements giving certain data. You h...

    Text Solution

    |

  2. px + qy = p-q" "qx - py = p+q रेखिक समीकरणो के युग्मो को हल...

    Text Solution

    |

  3. x और y के लिये हल कीजिए: px + qy = 1 और qx + py = ((p+q)^(2))/(p^(2)...

    Text Solution

    |

  4. दो पाँसे एक साथ उछाले जाते हैं। प्रायिकता ज्ञात कीजिए, जबकि ऊपर पड़ने ...

    Text Solution

    |

  5. यदि 10 टिकटों पर 1 से 10 तक की (प्रत्येक पर एक) संख्यायें लिखी हुई हैं...

    Text Solution

    |

  6. एक पाँसे को पाँच बार यदृच्छया फेंका जाता है। प्रायिकता ज्ञात कीजिये यद...

    Text Solution

    |

  7. आयनिक ठोसों के लिए जिसमे धनायन तथा ऋणायन प्रबल वैधुतक्षैतिज बल के द्वा...

    Text Solution

    |

  8. निम्नलिखित कथनों पर विचार करें : कथन I : यदि A और B प्रतिदर्श समष्टि...

    Text Solution

    |

  9. निम्नलिखित कथनों पर विचार करें : कथन I : माना कि (d)/(dx){f(x)+c}=F(...

    Text Solution

    |