What is the value of 1² + 3² + 5² + 7² + 9² ................ 19²?
Sum of the squares of first n odd number = n(2n+1)(2n-1)/3 Where n = number of terms Here number of terms are 10 as last odd term is = 2n-1=19 So n =10 So required sum = 10 × 21 ×19/3 = 1330
In which of the following expressions will the expression ‘ Q > B ’ be definitely true?
Statement: P ≤ W < O = D ≥ G > T
Conclusions:
I. P ≤ T
II. W < D
Statements: U ≥ P ≥ I ≤ X; Y ≥ P < V; I ≤ W
Conclusions: I. U ≥ W II. Y ≥ I
...In which of the following expressions will the expression ‘S > Y’ and ‘R > Y be definitely true?
Statements: F > T = O > E < P ≤ X > H < M
Conclusion I: F ≥ E
II: X > E
Which of the following would replace @ and & respectively in the following expression such that ‘O > A’ is definitely true?
U = O > W # B ≤...
Which of the following symbols should replace the sign (@) respectively in the given expression in order to make the expression Y ≥ Z and D > K defini...
Statements: J < K = L ≥ M ≥ P; F ≥ K < G
Conclusion I. J < G II.F ≥ P
...Which of the following expressions will be true if the expression Q ≥ M = R > F = E ≤ X is definitely true?
Statements: P ≥ S ≥ C ≤ U; N ≥ S < G ; C ≤ M
Conclusion I. P ≥ N II.M < S
...
