15 is divided in three parts which are in arithmetic progression (A.P.) in such a way that the sum of their square is 83. Find the smallest part?
Let the three numbers be (a - d), a, (a + d) a - d + a + a + d = 15 3a = 15 a = 5 (5 - d)² + 5² + (5 + d)² = 83 25 + d² - 10d + 25 + 25 + d² + 10d = 83 2d² = 8 d² = 4 d = ± 2 series = 3,5,7
Statements: F % W, W © R, R @ M, M $ D
Conclusions:
I.D @ R II.M $...
Statements: H = G ≥ F, F > A ≥ B > C, C > D > E = J
Conclusions:
I. C < H
II. A > J
III. H ≥ E
What is the suitable sign that should be placed so that O > K is true, and J ≤ M is true in the relation 'J = K ≤ L ( ) M < N = O'?
Statement: M < N ≤ O = P, Q ≥ O ≤ R ≤ Z
Conclusion: I. Q > M II. Z > M
...Statements: D = E ≥ G = K, O > B ≤ C = K, E ≤ I < F
Conclusions: I. K > O II. D ≥ C
...Statements:
A $ B % D % C
Conclusions:
I. B © C
II. A * D
III. C % A
Statements: G < H ≤ I, V ≥ W = G, R ≥ I = A
Conclusions : I. R > G
II. A ≥ H
III. H ≤ R
...Statements: T < I = Q < U ≤ V; U > F; J = U ≤ E
Conclusions:
I. E > Q
II. V ≥ T
III. T < V
IV. F = ...
Statements: J > K > M ≤ N < O; M > P > L
Conclusions:
I. J > L
II. P < O
III. J > O
Statement: J > K; N < O ≤ L; N ≥ M > K
Conclusion:
I. N ≥ J
II. K < L