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For an integer n, let Sn=n+1,n+2,., n+18. Which of the following is true for all n10 ?

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Important Questions on Fundamentals of Mathematics

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A number M is divisible by 25. If (M+5) (M+1) is divided by 25, then what will be the remainder?
HARD
Suppose a,b,c are positive integers such that 2a+4b+8c=328. Then a+2b+3cabc is equal to-
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Which of the following numbers is divisible by 9
 
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The HCF of  23,89,1027,3281 is.
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There are exactly twelve Sundays in the period from January 1 to March 31 in a certain year. Then, the day corresponding to February 15 in that year is
EASY

Which among the following is not an irrational number?

EASY
Which of the following numbers is perfectly divisible by 4?
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How many numbers are there between 330 and 450 which are divisible by both 7 and 9?
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The number of positive integers n in the set 2,3,..,200 such that 1n has a terminating decimal expansion is
HARD
Let n>1 be an integer. Which of the following sets of numbers necessarily contains a multiple of 3?
EASY
Which of the given value is exactly divisible by 30?
HARD
Let S be the set of all point ab,cd on the circle with radius 1 centred at 0,0 where a and b are relatively prime integers, c and d are relatively prime integers (that is HCF a,b=HCF c,d=1), and the integers b and d are even. Then the set S
EASY
A number when divided by 72 leaves remainder 10. What will be the remainder when the same number is divided by 9?
EASY
What is the HCF of 1524,1239 and 4049
EASY
Which smallest number must be added to 300. So that the resulting number is completely divisible by 13?
EASY
A two-digit number ab¯ is called almost prime if one obtains a two-digit prime number by changing at most one of its digits a & b. (For example, 18 is an almost prime number because 13 is a prime number). Then the number of almost prime two-digit numbers is
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How many numbers are there from 14 to 159 which are divisible by both 2 and 8?

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The number of digits in the decimal expansion of 165516 is
MEDIUM

Consider the following statements: For any integer n, 

I.. n2+3 is never divisible by 17 .

II.. n2+4 is never divisible by 17. Then

 

HARD
The number of 6-digit numbers of the form ababab (in base 10) each of which is a product of exactly 6 distinct primes is