Question
Read the given statements and the following conclusions
carefully and select which of the conclusions logically follow(s) from the statements. Statements: · All locusts are insects. · All insects are worms. Conclusions: 1. All locusts are worms. 2. All insects are locusts.Solution
All locusts are insects (A) + All insects are worms (A) → All locusts are worms (A). Hence conclusion I follows. All locusts are insects (A) → Conversion → Some insects are locusts (I). Hence conclusion II does not follow.
Find the value of ‘x’ in the given expression
(49/16)x × (64/343)x-1 = 4/7
If a3 — b3 = 602 and a— b = 2, then find the value of( a2 + b2)
If (x 2 = 6x – 9), then find the value of [x³ + (x⁴/9)][5 - x³]
- If (x - y) = 5, then find the value of (x³ - y³ - 15xy).
If √b + (1/√b) = 11, then find the value of b + (1/b).
If (r + s + t) = 12 and (rs + st + tr) = 60, then find the value of (r² + s² + t²).
If, ( a + b = 14 ) and ( a² + b² = 106 ), then find the value of (a³ + b³).
If (a + b) = 13 and ab = 18, find the value of (a² + b²).
If a – b – c = 0, then the value of (a2 + b2 + c2)/(b + ac) is:
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