If x>y>1, which of the following must be true? (i) In x > In y (ii) ex > ey (iii) y2 > x2
(i) and (ii)
Both ln x and eˣ are strictly increasing, so (i) and (ii) follow. Positive x > y implies x² > y², contradicting (iii). Cosine is periodic, so (iv) is not guaranteed. Hence (i) and (ii).
Important Questions from Numerical Reasoning
If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’?
Consider the following statements relating to the level of poker play of four players P, Q, R and S.
I. P always beats Q
II. R always beats S
III. S loses to P only sometimes
IV. R always loses to Q
Which of the following can be logically inferred from the above statements?
(i) P is likely to beat all the three other players
(ii) S is the absolute worst player in the set
If ROAD is written as URDG, then SWAN should be written as:
The head of newly formed government desires to appoint five of the six selected members P, Q, R, S, T and U to portfolios of Home, Power, Defense, Telecom and Finance. U does not want any portfolio if S gets one of the five. R wants either Home or finance or no portfolio. Q says that if S gets either power or Telecom, then she must get the other one. T insists on a portfolio if P gets one .
Which is the valid distribution of portfolios?The given question is followed by two statements; select the most appropriate option that solves the question. Capacity of a solution tank A is 70 % of the capacity of tank B. How many gallons of solution are in tank A and tank B?
Statements:
I) Tank A is 80% full and tank B is 40% full.
II) Tank A if full contains 14,000 gallons of solution.
