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Which of the following statements are / ...

Which of the following statements are / is true ?

A

The proudct of two irrational numbers is always irrational.

B

The sum of two irrational numbers is always irrational.

C

Both (a) and (b)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Check the colsure property of irrational numbers with respect to addition and multiplication.
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PEARSON IIT JEE FOUNDATION-REAL NUMBERS AND LCM AND HCF -Concept application Level -1
  1. Express the following rational numbers as decimals and identify which ...

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  2. If the numbers a-b and a+b are twin primes then a and b are necessaril...

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  3. Which of the following statements are / is true ?

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  4. The absolute value of 12xx(-3)+12-15 is

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  5. In the set of rational numbers, multiplicative identify is and the ad...

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  6. If a,b in P and a * b, in P. Then P is under the operation *.

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  7. What is the number in the units place of (763)^84 ?

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  8. The HCF of all the natural numbers from 200 to 478 is

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  9. Find the greatest number that divides 59 and 54 leaving remainders 3 a...

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  10. Find the HCF of the first 100 natural numbers.

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  11. Find the units digit in the expansion of (44)^44+(55)^55+(88)^88.

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  12. Find the least number exactly divisible by 36 and 24.

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  13. Find the digit in the units place of (676)^99.

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  14. The LCM of (5)/(12),(6)/(5),(3)/(2)and (4)/(17) is

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  15. Find the number of factors of 1080.

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  16. If p,q and r are prime numbers such that r=q+2 and q=p+2, then the num...

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  17. If a in N and 1 le a le 20, then find the number of prime numbers in t...

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  18. The GCD of two numbers is 128 and their LCM is 256. Then their product...

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  19. The absolute value of 25-(25+10)+25div125xx25 is

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  20. Find the LCM of 12, 48 and 36. The following are the sequential orde...

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