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In the following questions numbered 1 to 20, a question is followed by data in the form of two statements labelled as (I) and (II) You must decide whether the data given in the statements are sufficient to answer the questions.
What is the GCD of the positive integers m, n?
(I) LCM of m, n is 165.
(II) Product of m, n is 165.
What is the area of the sector?
(I) Radius of the circular sector is 10 cm.
(II) The angle of the sector is $$\frac{\pi}{6}$$.
What is the HCF of $$x$$ and y?
(I) Ratio of $$x$$ and y is 2 : 3.
(II) $$x$$ and y are two consecutive positive integers.
What is the value of $$x^{6} - y^{6}$$?
(I) $$x^{3} - y^{3} = 10$$.
(II) $$x^{4} - y^{4} = 5$$.
In how many hours did David cover 600 miles?
(I) David covered the first half of the distance at 40 mph.
(II) David covered the last $$\frac{1}{4}$$th of the distance at 30 mph.
How many people are there in that room?
(I) If 4 persons leave the room, then there will be less than 15 persons in that room.
(II) If 3 more persons enter the room, then there will be more than 20 persons in that room.
Alex and Tony started a piece of work. After working for two days, Alex left. The remaining work was completed by Tony. In how many days did Tony complete the work?
(I) Tony can complete the work in 20 days working individually.
(II) Alex and Tony can complete the work in $$6\frac{2}{3}$$ days working 3 together.
