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Find the GCD of the numbers 2n+13 and n+7.

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Important Questions on Number Systems

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Find the remainder of 323232 divided by 7?
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The remainder when 1010+10100+101000+...+1010000000000 is divided by 7 is 
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n is a number, such that 2n has 28 factors and 3n has 30 factors, 6n has
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Suppose the sum of n consecutive integers is x+x+1+x+2+x+3+.....+x+(n-1)=1000, then which of the following cannot be true about the number of terms n
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The remainder when 22+222+2222+22222+.....(222.....49 twos)2 is divided by 9 is 
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N=202×20002×200000002×20000000000000002×20000000...231 zeroes. The sum of digits in this multiplication will be
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Twenty five sets of problems on Data Interpretation one each for the DI sections of 25 CATALYST tests were prepared by the AMS research team. The DI section of each CATALYST contained 50 questions of which exactly 35 questions were unique, i.e. they had not been used in the DI section of any of the other 24 CATALYSTs. What could be the maximum possible number of questions prepared for the DI sections of all the 25 CATALYSTs. What could be the maximum possible number of questions prepared for the DI sections of all the 25 CATALYSTs put together?
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Twenty five sets of problems on Data Interpretation one each for the DI sections of 25 CATALYST tests were prepared by the AMS research team. The DI section of each CATALYST contained 50 questions of which exactly 35 questions were unique, i.e. they had not been used in the DI section of any of the other 24 CATALYSTS. What could be the maximum possible number of questions prepared for the DI sections of all the 25 CATALYSTS put together?

In the above question, what could be the minimum possible number of questions prepared?