1. Questions are followed by two statements labelled as I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below: A. Statement I alone is sufficient to answer the question. B. Statement II alone is sufficient to answer the question. C. Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question. D. Either Statement I or Statement II alone is sufficient to answer the question. E. Both Statement I and Statement II are insufficient to answer the questionIn the trapezoid PQRS, PS is parallel to QR. PQ and SR are extended to meet at A. What is the value of $$\angle$$PAS ? I. PQ = 3, RS = 4 and $$\angle$$ QPS = 60°. II. PS = 10, QR = 5.






Write Comment

Type in
(Press Ctrl+g to toggle between English and the chosen language)

Comments

  • By: anil on 05 May 2019 04.05 pm
    In the figure, $$ riangle AQR sim riangle APS$$ => $$frac{AQ}{AP} = frac{QR}{PS} = frac{AR}{AS} = k$$ --------Eqn(I) Statement I : PQ = 3 cm , RS = 4 cm , $$angle$$ QPS = 60° In right $$ riangle$$ PQM => $$sin 60^{circ} = frac{QM}{QP}$$ => $$frac{sqrt{3}}{2} = frac{QM}{3}$$ => $$QM = frac{3 sqrt{3}}{2} = RN$$ Similarly, $$sin (angle RSN) = frac{3 sqrt{3}}{8}$$ => $$angle RSN = sin^{-1} (frac{3 sqrt{3}}{8})$$ $$ herefore$$ In $$ riangle$$ APS => $$angle PAS = 180^{circ} - angle APS - angle PSA$$ => $$angle PAS = 120^{circ} - sin^{-1} (frac{3 sqrt{3}}{8})$$ Thus, statement I alone is sufficient. Statement II : PS = 10, QR = 5 From eqn(I), $$k = frac{1}{2}$$ But, we do not know anything regarding the measures of the remaining sides or any of the angles. So, statement II is not sufficient.
Tags
Show Similar Question And Answers
QA->When A, B, C are work together they complete a job in 8 days. When A and C decided to do the work together they completed this job in 12 days. In how many days B alone can complete the work?....
QA->A and B can do a work in 12 days. B and C together can do it in 15 days and C and A together in 20 days. If A, B, C work together, they will complete the work in ?....
QA->A and B can do a work in 12 days. B and C together can do it in 15 days and C and A together in 20 days. If A, B, C work together, they will complete the work in :....
QA->"Let the guards be armed", he ordered. (Choose the most appropriate indirect speech).....
QA->…………….means the annual financial statements and other statements prescribed under Rule 65 of Kerala Panchayat Raj (Accounts) Rules, 2011?....
MCQ-> Questions are followed by two statements labelled as I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below: A. Statement I alone is sufficient to answer the question. B. Statement II alone is sufficient to answer the question. C. Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question. D. Either Statement I or Statement II alone is sufficient to answer the question. E. Both Statement I and Statement II are insufficient to answer the questionIn the trapezoid PQRS, PS is parallel to QR. PQ and SR are extended to meet at A. What is the value of $$\angle$$PAS ? I. PQ = 3, RS = 4 and $$\angle$$ QPS = 60°. II. PS = 10, QR = 5.....
MCQ-> are followed by two statements labelled as I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:A. Statement I alone is sufficient to answer the question. B. Statement II alone is sufficient to answer the question. C. Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question. D. Either Statement I or Statement II alone is sufficient to answer the question. E. Neither Statement I nor Statement II is necessary to answer the question.Let PQRS be a quadrilateral. Two circles O1 and O2 are inscribed in triangles PQR and PSR respectively. Circle O1 touches PR at M and circle O2 touches PR at N. Find the length of MN. I. A circle is inscribed in the quadrilateral PQRS. II. The radii of the circles O1 and O2 are 5 and 6 units respectively.....
MCQ-> These questions consist of a question and two statements numbered I and H 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 mark the appropriate answer. Give answer : Topic:banking-reasoning-data-sufficiency a: The data even in both statements I and II together are not sufficient to answer the question. b: 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. c: The data either in statement I alone or in statement II alone are sufficient to answer the question. d: The data in both statements I and II together are necessary to answer the question. e: The data in statement II alone are sufficient to answer the question while the data in statement I are not sufficient to answer the question.In a building, the ground floor is numbered one, first floor is numbered two and so on till the topmost floor is numbered five. Amongst five people- M, N, O, P and Q, each living on a different floor, but not necessarily in the same order, on which floor does Q live ? I. O lives on an odd numbered floor. M lives immediately below O. Only two people live between M and P. N lives neither immediately below M nor immediately below P. II. N lives on an even numbered floor. Only two people live between N and O. Only one person lives between O and Q.....
MCQ-> Each of the question below consists of a question and two statements numbered I and II given below it you You have to decide whether the data provided in the statement are sufficient to answer the question Read both statements and Give answer Give answer a: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 Give answer b: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 Give answer c:if the data either in the statement I alone or in Statement II alone are sufficient to answer the question Give answer d:if the data even in both statements I and II together are not sufficient to answer the question Give answer e:if the data in both statement I and II together are necessary to answer the questionIn which direction is Ravi facing ? I.Ashok is to the right of Ravi II.Samir is sitting opposite of Ashok facing north....
MCQ-> 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 answer the below questions a: 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. b: 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. c: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question. d: if the data even in both Statements I and II together are not sufficient to answer the question. e: if the data in both Statements I and II together are necessary to answer the question.How many persons are there in a straight line who are facing North ?I. L is standing exactly in the middle. L is an immediate neighbor of both A and O. Two persons are standing between A and T. T is standing at the second position from the left end of the line. B is standing at the extreme left end of the line. II. J is standing at the second position from the right end of the line. Five persons are standing between J and F. There are two persons between F and K. K is at one of the extreme ends of the line.....
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
DMCA.com Protection Status Powered By:Omega Web Solutions
© 2002-2017 Omega Education PVT LTD...Privacy | Terms And Conditions