1. The centre of gravity of a hemisphere from the base is at a distance of





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MCQ->Consider the following statements relating to the stability of floating as well as submerged bodies :1. A submerged body is stable when the centre of gravity is below the centre of buoyancy.2. A floating body is stable when the centre of gravity is above the centre of buoyancy.3. A floating body is stable when the centre of gravity is below the metacentre.4. A submerged body is in stable equilibrium when the centre of gravity coincides with the centre of buoyancy.Of these statements :....
MCQ-> DIRECTIONS for questions:These questions are based on the situation given below:Recently, Ghosh Babu spent his winter vacation on Kyakya Island. During the vacation, he visited the local casino where he came across a new card game. Two players, using a normal deck of 52 playing cards, play this game. One player is called the Dealer and the other is called the Player. First, the Player picks a card at random from the deck. This is called the base card. The amount in rupees equal to the face value of the base card is called the base amount. The face values of Ace, King, Queen and Jack are ten. For other cards, the face value is the number on the card. Once, the Player picks a card from the deck, the Dealer pays him the base amount. Then the dealer picks a card from the deck and this card is called the top card. If the top card is of the same suit as the base card, the Player pays twice the base amount to the Dealer. If the top card is of the same colour as the base card (but not the same suit) then the Player pays the base amount to the Dealer. If the top card happens to be of a different colour than the base card, the Dealer pays the base amount to the Player. Ghosh Babu played the game 4 times. First time he picked eight of clubs and the Dealer picked queen of clubs. Second time, he picked ten of hearts and the dealer picked two of spades. Next time, Ghosh Babu picked six of diamonds and the dealer picked ace of hearts. Lastly, he picked eight of spades and the dealer picked jack of spades. Answer the following questions based on these four games.If Ghosh Babu stopped playing the game when his gain would be maximized, the gain in Rs. would have been
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MCQ-> Study the following information carefully and answer the questions given below:Eight friends P, Q, R, S, W, X, Y and Z are sitting around a circular table but not necessarily in the same order. Some of them are facing the centre and some others are facing outside (i.e. in a direction opposite to the centre.) Note :(i) Facing the same direction means if one person faces the centre then the other also faces the centre and vice-versa. (ii) Facing the opposite directions means if one person faces the centre then the other faces outside and vice-versa. (iii) Immediate neighbours facing the same direction means if one person faces the centre then the other also faces the centre and vice-versa. (iv) Immediate neighbours facing the opposite directions means if one person faces the centre then the other faces outside and vice-versa. • R sits second to the right of Y. Only two persons sit between R and W. • P sits to the immediate right of W. W faces outside. • Only one person sits between P and Z. Immediate neighbours of P face opposite directions. • Q sits third to the left of Z. Q is not an immediate neighbour of P. • X faces a direction opposite to that of Y. X is an immediate neighbour of neither Y nor P. • Immediate neighbours of S face same direction. P does not face outside. • R and Q face a direction opposite to that of S.Four of the following five are alike in a certain way based on the direction they are facing and so form a group. Which is the one that does not belong to that group?
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MCQ-> Study the following information carefully and answer the questions given below: Eight friends — J, K, L, M, N, 0, P and Q — are sitting around a circular table but not necessarily in the same order. Some of them are facing the centre and some of them are facing outside. (i.e. in a direction opposite to the centre.) Facing the same direction means if one person faces the centre then the other also faces the centre and vice-versa. Facing the opposite direction means if one person faces the centre then the other faces outside and vice-versa. Immediate neighbours facing the same direction means if one neighbour faces the centre then the other also faces the centre and vice-versa. Immediate neighbours facing the opposite direction means if one neighbour faces the centre then the other faces outside and vice-versa. • Only one person sits between K and 0. Q sits third to the right of 0. • M sits to the immediate right of Q. Q faces outside. • L sits second to the left of P. P is not an immediate neighbour of 0. • L faces a direction opposite to that of 0. Immediate neighbours of L face opposite directions. • J sits third to the left of N. J is not an immediate neighbour of P nor K. • M and J face a direction same as that of N.Four of the following five are alike in a certain way based on the directions they are forming and so form a group. Which is the one that does not belong to that group?
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