Question
In this question, three statements are given, followed
by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements. Statements: All teachers are doctors. All doctors are lawyers. Some lawyers are policeman. Conclusions: I. All policeman are teachers. II. Some policeman are doctors.Solution
All teachers are doctors (A) + All doctors are lawyers (A) → All teachers are lawyers (A) + Some lawyers are policeman (I) → No conclusion. Hence conclusion I does not follow. All doctors are lawyers (A) + Some lawyers are policeman (I) → No conclusion. Hence conclusion II does not follow.
If the 14th term of an arithmetic series is 6 and 6th term is 14, then what is the 95th term?
If (x – 3) is a factor of (x2 + 4qx – 2q), then the value of q is:
- If [6a + (1/3a)] = 7, then find the value of [36a² + (1/9a²) - 4]
If x2a = y2b =z2c ≠ 0 and x2 = yz, then the value of (ab + bc + ca) /bc is :
Given that (3a + 7b = 54) and (ab = 24), determine the value of (9a2 + 49b2).
If a = 32, b = c = 31, then find the value of a 3  + b 3  + c 3  – 3abc.
If a + b + c = 6, a³ + b³ + c³-3abc = 342, then what is the value of ab + bc + ca
- If (x - y) = 4, then find the value of (x³ - y³ - 12xy).
If (x –1.3)3+(x–1.4)3+(x–1.5)3 = 3(x–1.3)(x–1.4)(x–1.5), Then x = ?
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9
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