In Figure, which of the following statements must be true? (i) `a+b=d+c` (ii) `a+c+e=180^0` (iii) `b+f=c+e` (a) (i) only (b) (ii) only (c) (iii) only (d) (ii) and (iii) only

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 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 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-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

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

Let alpha and beta(alpha

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

Which of the following statement is/are always true concerning the function f(x)=x+1/x (I)The graph of the function is symmetric about the y-axis. (II)The graph of the function has a relatively maximum at (1, 2) and a relative minimum at (-1,\ -2)dot (III)The graph of the function is concave up for x >0 and concave down for x<0. (a)only I (b) only II (c)only III (d) only I and II

What would be the difference between the simple interest and the compound interest on a sum of the money at the end of four years? I. The rate of interest is 5 p.c.p.a. II. The sum fetches a total of Rs. 2000 as simple interest at the end of 8 years. III. The difference between the simple interest and the compound interest at the end of 2 years is Rs. 12.50. (a) II only (b) III only (c) II or III only (d) All I, II and III are required. (e) None of these

Match the following: {:("Column I","Column II"),( (i) (a)/(b) div (a)/(b) , (a) (-a)/(b) ),((ii) (a)/(b) div (c)/(d), (b) -1 ),((iii) (a)/(b) div (-1) , (c) 1 ),((iv) (a)/(b) div (-a)/(b) , (d) (bc)/( ad) ),((v) (b)/(a) div ((d)/(c)) , (e) (ad)/(bc) ):}