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A irrational number can be rational by t...

A irrational number can be rational by the process of -

A

Squaring of itself

B

Cube of itself

C

Addition of itself

D

Both (A) and (B)

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A
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Which of the following statements is true? product of two irrational numbers is always irrational Product of a rational and an irrational number is always irrational Sum of two irrational numbers can never be irrational Sum of an integer and a rational number can never be an integer

State, in each case, whether the given statements is ture or false. (i) The sum of two rational numbers is rational. (ii) The sum of two irrational numbers is irrational. (iii) The product of two rational numbers is rational. (iv) The product of two irrational numbers is irrational. (v) The sum of a rational number and irrational number is irrational. (vi) The product of a nonzero rational number and an irrational number is a rational number. (vii)Every real number is rational or irrational. (viii) Every number is either rational or irrational. (ix) pi is irrational and (22)/(7) is rational.

if (log)_a x=b for permissible values of a and x then identify the statements which can be correct. (a) If a and b are two irrational numbers then x can be rational (b) if a is rational and b is irrational, then x can be rational (c) if a is irrational and b is rational, then x can be rational (d) If a and b are two rational numbers then x can be rational .

If (log)_a x=b for permissible values of a and x , then identify the statement(s) which can be correct. (a)If a and b are two irrational numbers, then x can be rational. (b)If a is rational and b is irrational, then x can be rational. (c)If a is irrational and b is rational, then x can be rational. (d)if aa n d b are rational, then x can be rational.

Prove the following statement by contradiciton method p : The sum of an irrational number and a rational number is irrational .

Let x be an irrational number.If a,b,c and d are rational numbers such that (ax+b)/(cx+d) is a rational number,which of the following must be true?

Which of the following is a correct statement? Sum of two irrational numbers is always irrational Sum of a rational and irrational number is always an irrational number Square of an irrational number is always an irrational number Square of an irrational number is always a rational number Sum of two rational numbers can never be an integer

Which one of the following statement is true? The sum of two irrational numbers is always an irrational number The sum of two irrational numbers is always a rational number The sum of two irrational numbers may be a rational number or irrational number The sum of two irrational numbers is always an integer

If x be a rational number and y be an irrational number, then :

.Let a be a rational number and b be an irrational number. Is ab necessarily an irrational number? Justify your answer with an example.

UPKAR PUBLICATION -PRACTICE SET-2-PART-III Quantitative Aptitude
  1. What will be the average of first 20 odd numbers ?

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  2. In how many years, the interset of a money will be 3 times of the mone...

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  3. If 16% of x = 48% of y, then x:y will be -

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  4. A circle of 2pi metre perimeter has it's area -

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  5. If x^(1/2)= sqrt(11) then, value of x will be -

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  6. Printed rate of a book is Rs. 250 and available at Rs. 225 . What is t...

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  7. If P^(-1//2) = (1/(25))^(2) , then the value of P will be -

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  8. The cost of 3 1/2 metre sheet is Rs.150, what will be the cost of 1 me...

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  9. A boat can bear the weight of 4 men or 12 boys . How many boys can go ...

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  10. If P- 1/P = 6 , then the value of P^2 + 1/P^2 will be -

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  11. Number of primes between 1 to 100 is .

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  12. I is -

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  13. A irrational number can be rational by the process of -

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  14. If n is a whole number greater than 1, then n^2 (n^2- 1) is always div...

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  15. sqrt(6+sqrt(6+sqrt(6+……))) is equal to

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  16. The square root of 7 + 2sqrt(10) is

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  17. The value of sqrt(P^3sqrt(P^3 sqrt(P^3))) is -

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  18. Mohan can complete his work in 3 days by doing 2 hours per day. How mu...

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  19. The ratio of two partners A and B is 2:3 . If they share the profit of...

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  20. If 10% of 15 kg = x% of 12.5 kg, then value of x will be -

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