The figure shows hysteresis loops of two ferromagnetic materials, X and Y. Six statements follow. (i) Y has the larger coercivity. (ii) Y has the larger retentivity. (iii) Y loses less energy per cycle than X. (iv) X suits a transformer core better than Y. (v) Y suits a permanent magnet better than X. (vi) X keeps no induction once H is reduced to zero. How many of the statements above are correct?

Fig. 1: A graph of magnetic induction B on the vertical axis against magnetising field H on the horizontal axis, both starting from the origin in the middle. Two closed hysteresis loops are drawn about the origin and are labelled X and Y. Loop X is tall and narrow. Loop Y is much wider along the H axis and crosses the vertical axis much higher than X, while the tops of the two loops reach similar heights. Neither axis has a numbered scale.