roughworks

UCEED 2019

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Q26.The figure shows four road networks. Which of these four road networks can be traversed by a traveller, such that the following challenge can be satisfied: 'The traveller must cover all the roads in the network. She is allowed to visit a city more than once, but she is not allowed to travel on any road more than once. Also, the traveller must come back to the city where she starts.'

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Q28.Suresh, Biju and Tina bring one gift each. When they meet, they swap their gifts in such a way that no one gets back what they had brought with them. The gifts are, a book, a pen, and a ball. Suresh says: I gave my gift to the one who gave away the ball. Biju says: I received my gift from the one who gave gift to the one who gave away the ball. Tina says: I got what I always wanted. Biju says: But Tina, you had to give away your pen. Which of these statements is/are TRUE?

UCEED2019Q27·msq·Hard52 attempts

The grid of squares shown in the figure is to be tiled (covered with tiles) with the tiles shown in the options. The covering tiles must not overlap and should not have gaps around them. Only four squares in the middle are not to be tiled. Once a tile is chosen, other tiles must be of that type only. Tiles can be flipped and rotated if required. Which of the tiles can be used to tile the given grid?