For the integer `n` , if `n^3` is odd, then which of the following statements are true? `n` is odd. II. `n^2` is odd. III. `n^2` is even (a) I only (b) II only (c) I and II only (d) I and III only

If n=1+x, where x is the product of four consecutive positive integers,then which of the following is/are true? n is odd II.n is prime III.n is a perfect square.(a) I only (b) I and II only (c) I and III only (d) None of these

If x backslash and backslash y are negative,then which of the following statements is/are always true? x backslash+backslash y is positive.II xy is positive.III.x backslash is positive.I only (b) II only (c) III only (d) I and III only

If x-y=8, then which of the following must be true? Both x and y are positive.II.If x is negative,y must be positive III.If x is negative,y must be negative.(a) I only (b) II only (c) I and II (d) III only

Given n=1+x and x is product of four consecutive integers. Then which of the following is true? I n is an odd integer II. n is prime. III. n is a perfect square. Only I is correct (b) Only III is correct (c) Both I and II are correct (d) Both I and III are correct

In Figure,which of the following statements must be true? a+b=d+c (i) a+c+e=180^(@)b+f=c+e(i) only (b) (ii) only (iii) only (d) (ii) and (ii) only

Show that the following statement is true: The integer n is even if and only if n^(2) is even

The sum of three consecutive odd numbers is always divisible by I. 2 II. 3 III. 5 IV. 6 Only I (b) Only II (c) Only I and II (d) Only I and III

Which of the following numbers are completely divisible by 7? I. 195195 II. 181181 III. 120120 IV. 891891 (a) Only I and II (b) Only II and III (c) Only I and IV (d) Only II and IV (e) All are divisible

Which of the following conditions imply that the real number x is rational ? I x^(1/2) is rational II x^2 and x^5 are rational III x^2 and x^4 are rational II x2 and x3 are rational (A) Jand I only (B) I and IIl only (C) Il and II only (D) I, Il and II (A) Jánd II only (B) I and III only