I. (4x-5)3 + 1/(4x-5)3 = 2
II. 2[(y+1/y)2- 2]- 9(y+1/y)= -14
I. (4x-5)3+ 1/(4x-5)3 = 2 Let 4x-5=a a3+ 1/a3 =2 a6+ 1=2a³ a6-2a³+ 1=0 (a3- 1)2= 0 a³=1 a=1 4x-5=1 x= 3/2 II. 2[(y+1/y)2- 2]- 9(y+1/y)= -14 Put (y+1/y)=b 2[b2-2]-9b+14=0 2b2- 4-9b+14=0 2b2-9b+10=0 2b2-5b-4b+10=0 b(2b-5)-2(2b-5)= 0 b=2,5/2 If (y+1/y)= 2 y²+1=2y y²+1-2y=0 (y-1)2= 0 y=1 If, (y+1/y)= 5/2 2y2+2=5y 2y2+2-5y=0 2y2- 4y-y+2=0 2y(y-2)-1(y-2)=0 y=2,1/2 Hence, relationship between x and y cannot be established
Statements: S * K, T $ K, K @ B
Conclusions: a) S $ B b) S @ B
...Statements: G > H = M; N < R = H; S > R
Conclusions:
I. S > M
II. G < S
III. N > G
Statements: M > P > Q < R = T; A < B ≤ C = P; L > N = T > X
Conclusions:
I. R > P
II. R < P
...In which of these expression ‘X ≤ B’ is definitely true?
Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) in order to complete the given e...
Statements: I < Q = S = T ≤ U ≤ W < X > Y = V
Conclusions:
I. I > Y
II. W ≥ Q
III. T < V
...Statements: Q ≥ R > U; R ≤ S; U ≥ B
Conclusions: I. B < R II. B ≤ Q
Statements: H + L & F; F + V $ U; A * U * R
Conclusions:
I. H + U
II. A * F
III. R + L
Statements: C > G > E; E = F; G < H
Conclusions: I) F < G
II) E < C
III) C > H
If the expressions, ′A < B ≤ N > E ′, ′Z ≥ N′ and ′Z ≥ B′ are true then which of the following combinations will be definitely true?
