Direct proof technique
You want to prove that all cyclic groups are abelian (you don't need to know what such words mean). Your proof is using the "direct proof" technique. After the word "Proof" what is the next line?
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Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount inves
Tea worth Rs. 126 per kg and Rs. 135 for each kg are mixed with the third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 for each kg, the price of the third variety per kg will be:
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
A closed box haves 2 red, 4 black, and 7 white balls (Which are otherwise identical). In one trial of the experiment, you reach in and (without looking) you pull out random ball. Assume that you return the ball after each trial, and you repeat the
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when man gets on it. Determine the mass of the man is?
As found from dynamic analysis of the actual forces in the engine.if the arms and hub contribute 5% of the flywheel effect (K=0.95),what is the necessary dimensions of a square rim section of cast iron which has density of 7000 kg/meter cube?
A, B and C jointly thought of engaging themselves in the business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A desires to be the working member for which, he was to ge
A sphere with the diameter of 6 cm is dropped in the right circular cylindrical vessel that is partially filled with water. The diameter of cylindrical vessel is 12 cm. If the sphere is completely submerged in the water, how much will the level of
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