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If x is divisible by both 3 and 5 ,then ...

If x is divisible by both 3 and 5 ,then x is divisible by 15. is this statement true ?

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If a number is divisible both by 2 and 3, then it is divisible by 12.

Which of the following statements are true? If a number is divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number is divisible by 8, it must be divisible by 4. If a number is divisible by 18, if it is divisible by both 3 and 6. If a number is divisible by both 9 and 10, it must be divisible by 90. If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately. If a number divides three numbers exactly, it must divide their sum exactly. If two numbers are co-prime, at least one of them must be a prime number. The sum of two consecutive odd numbers is always divisible by 4.

Which of the following statements are true? If a number divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number id divisible by 8,it must be divisible by 4. A number is divisible by 18, if it is divisible by both 3 and 6. If a number divisible by both 9 and 10, it must be divisible by 90.

18 is divisible by both 2 and 3. It is also divisible by 23=6. Similarly,a number is divisible by both 4 and 6. Can we say that the number must also divisible by? If not,give an example to justify your answer.

Write (T) for true and (F) for false against each of the following statements : (i) If a number is divisible by 4. it must be divisible by 8 . (ii) If a number is divisible by 8 . it must be divisible by 4 . (iii) If a number divides the sum of two number exactly. it must exactly divide the num .bers separately. (iv) If a number is divisible by both 9 and 10 . it must be divisible by 90. (v) A number is divisible by 18 if it is divisible by both 3 and 6 . (vi) If a number is divisible by 3 and 7 . it must be divisible by 21. (vii) The sum of two consecutive odd number is always divisible by 4 . (viii) If a number divides two number exactly. it must divide their sum exactly.

Given below are two pairs of statements. Combine these two statements using if and only if: p: if the sum of the digits of a number is divisible by 3, then the number is divisible by 3.q: if a number is divisible by 3, then the sum of its divisible by 3.

If x is any natural number, then x^(5) -x is divisible by:

Let p be the statement "x is divisible b, 4" and q be the statement "x is divisible by 2". STATEMENT-1 : p hArr q and STATEMENT-2 : If x is divisible by 4, it must be divisible by 2 .

Study the statements carefully and select the correct option.. Statement I: Any number is divisible by 5, if the sum of the digits of the number is divisible by 5. Statement II: Any number is divisible by 6, if it is divisible by either 2 or 3 or both 2 and 3.

PEARSON IIT JEE FOUNDATION-REAL NUMBERS AND LCM AND HCF -Test your concepts very short type
  1. Every recurring decimal is a number.

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  2. How many rational numbers exist between any two rational numbers ?

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  3. Is pi a rational or an irrational numbers?

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  4. Every rational number can be represented by some point on the number l...

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  5. What is the multiplicative inverse of a, where a ne 0 ?

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  6. Prime numbers differeing by 2 are called

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  7. If 23457 a68 divisible by 9, then the lest value of a is

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  8. If x is divisible by both 3 and 5 ,then x is divisible by 15. is this ...

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  9. Pairs of numbers of the form (6k-1) and (6k+1) are twin primes. Is thi...

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  10. If a//b,b//c then the GCD of a , b,c is

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  11. If 36 is exactly divisible by a, then the GCD of 36 and a is

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  12. The LCM of a and b is x. what is the LCM of ma and mb?

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  13. Let a and b be two numbers. Then axxb= (LCM of a and b) x().

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  14. What is the GCD of ma and mb, if the GCD of a and b is x ?

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  15. In the prime factorisation method of finding LCM, LCM is given by prod...

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  16. Let a and b two numbers p be their LCM and q be their GCD. Then q in t...

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  17. ("HCF of given fraction")/("LCM of given fractions") =(HCF " of num...

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  18. If x=a^2.b^3 , where a and b are prime factors of x, then numbers of f...

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  19. The units digit of the number 9^26 is

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  20. ("Divided -Remainder")/("Divisor")=

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