Question
Read the given statements and conclusions carefully.
Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some Dog are Cat No Rat is Mouse All Rat Are Cat Conclusions: I. Some Cat are Mouse II. Some Rat are Dog III. No Cat is Mouse.Solution
No Rat is Mouse (E) → Conversion → No Mouse is Rat (E) + All Rat Are Cat (A) → Some Cat are not Mouse (O*). Hence neither conclusion I nor II follows bit it will make a complementary pair. Hence either conclusion I or II follows.
Find the value of the given expression-
(4x+4 -5× 4x+2) / 15×4x – 22×4x
If x2 – 10x + 20 = 0, then find the value of (x – 3)2 + 1/(x – 3)2
If x + y = 4 and (1/x) + (1/y) = 24/7, then the value of (x3 + y3).
If x, y and z are real numbers such that (x-5)2+(y-8)2+(z-12)2= 0 then (x+y+z) is equal to
If x + y = 12 and x² + y² = 74, find xy.
If p = 27 - q - r and pq + r(q + p) = 168, then find the value of (p² + q² + r²).
If (x + y) = 6 and (x2 + y2) = 20, then the value of (x – y)2 is equal to:
A takes 8 hours more than the time taken by B to cover a distance of 160 km. If A doubles his speed. he takes 3 hours more than B to cover the same dist...
If x:y:z = 3:4:6, and (5x + 3z) = 132, then find the value of '3y'.