Question
1. In series II, if ‘x’ is the right term,
then find which of the following statement(s) are true. I. x/124 is a factor 6 and 8. II. x + 1069 is a perfect cube. III. x/961 is a perfect square.Solution
Series I: 18 17 32 93 374 1835 (18-1) x 1 = 17 (17 - 1) x 2 = 32 (32 - 1) x 3 = 93 (93 - 1) x 4 = 368 (368 - 1) x 4 = 1835 Therefore, 368 will come instead of 374. Series II:The pattern is: 202 × 19 = 7600 192 × 18 = 6498 182 × 17 = 5508 172 × 16 = 4624 162 × 15 = 3840 152 × 14 = 3150 So, 3844 will be replaced by 3840. so, 374 will be replaced by 368. Alternate Method: 203-20 = 7600 193-19 = 6498 183-18 = 5508 173-17 = 4624 163-16 = 3840 153-15 = 3150 So, 3844 will be replaced by 3840. Now from second series, x = 3844 From statement I, X/124 is a factor 6 and 8 => 3840/124 = 31 statement I not follows From statement II: X + 1069 is a perfect cube. => 3844 + 1069 = 4913, is a perfect cube of 17 Hence, statement II follows From statement III: x/961 is a perfect square => 3844/961 = 4, is a perfect square. Hence, statement II and III follows.
Statements: J < K; L = M; K >N ≥ L
Conclusions:
I. J < L
II. N = M
Statements: K = L ≥ Q; P < R ≤ S = Q; T = U ≤ P
Conclusions:
I. K > R
II. T < QStatements: S @ O, O & E, E $ K, K # C
Conclusions: I. S @ K II. K @ O III. C @ E
...Statement: E ≤ F; E ≤ H; F = P; H < S
Conclusion:
I. S ≤ F
II. P ≥ S
Statement: P < Q; V < S > T; V < U > Q
Conclusion: I. T ≥ P      II. P > T
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is/are definitely true and the...
Statements:
A ≤ Z < X < I; L > P > C > B = I;
Conclusions:
I) Z > L
II) B > A
Statements: E > F = G; H < I = F; J > IÂ
Conclusions: I) J > GÂ
II) E < JÂ
III) H > E
- Statement: J > F ≥ G = H ≥ I ≥ E = K ≤ D
Conclusions:
I. J > E
II. D ≥ H
III. I < F Statements:
B < C < J ≤ H; W > F = T > J; P ≤ A < W
Conclusions:
I. C < A
II. P > B