Question
Statements: No cup is plate. Only a
few plate is saucer. Some saucer is spoon. All spoon is juicer. Conclusions: I. Some plate are spoon. II. All saucer may be cup. III. Some cup being juicer is a possibility. In the question below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.Solution
Only a few plate is saucer (I) + Some saucer are spoon (I) β No conclusion. Hence conclusion I does not follow. No cup is plate (E) + Only a few plate is saucer (I) β Some saucer are not cup (O*) β Probable conclusion β All cup may be saucer (A). Hence conclusion II does not follow. Some saucer is spoon (I) + All spoon are juicer (A) β Some saucer are juicer (I) β Conversion β Some juicer are saucer (I) + Some saucer are not cup (O*) β Probable conclusion β Some cup may be juicer (I). Hence conclusion III follows.
- In triangle PQR, a point S is on QR such that β PSQ = β SPR. If PQ = 60 cm, PR = 45 cm, and QR = 35 cm, find the length of QS.
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