Practice Questions 2-Real Numbers-Class X

The product of two different irrational numbers is always.

The product of three consecutive positive integers is divisible by?

The largest number that will be divide \(398,436,542\) leaving remainder \(7,11,15\)respectively is?

There are \(312,260 \& \ 156\) students in class V, VI, VII respectively. Find the maximum number of students who can sit in a bus if each bus takes equal number of students?

For some integer P, every even integer is of the form?

\((6 + 5\sqrt 3 ) – (4 – 3\sqrt 3 )\) is

The HCF and LCM of two numbers is 9 and 459 respectively. If one of the numbers is 27 then the other number is?

The largest number which divides 70 and 125 leaving remainders 5 and 8 respectively is?

The smallest number by which \(\sqrt {27} \) should be multiplied so as to get a rational number is?

If n is a natural number, then \({9^{2n}} – {4^{2n}}\) is always divisible by?

The LCM and HCF of two rational numbers are equal then the numbers must be?

If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is?

If the HCF of 65 and 117 is expressible in the form of \(65m – 117\)then the value of m is?

Euclid’s division lemma states that for two positive integers a and b there exist unique integers q and r such that\(a = bq + r\), where r must satisfy?

Which one of the following can’t be the square of a natural number?

The LCM and HCF of marks scored by Ajit an Amar in a math test are 5040 and 12 respectively. If Amar’s score is 144, what is Ajit’s score?

‘P’ is the remainder obtained when a perfect square is divided by 3. The value of P is?

The factor tree shows the prime factorization of 1314. The respective values of ‘a’ and ‘b’ are

Choose the irrational number.

Given a\( = 3 – \sqrt 2 \) and b\( = 3 + \sqrt 2 \) which of the following is correct?

910 blue pens and 1001 red pens are distributed to students of class VIII so, that each student gets the same number of pens of each kind. What is the maximum strength of the class?

Three bulbs are connected in such a manner that they glow for every 24 seconds, 36 seconds, and 54 seconds respectively. All of them glow at once at 8 am. When will they glow simultaneously?

The values of x and y in the given figure are,

If \({m^n} = 32\), where m and n are positive integers then the value of \({(n)^{mn}}\) is?

The LCM of two numbers is 1200. Which of the following cannot be their HCF?

If \(n = {2^3} \times {3^4} \times {4^{^4}} \times 7\), then the number of consecutive zeroes is n where n is a natural number?

The number of decimal places after which the decimal expansion of the rational number \(\dfrac{{23}}{{{2^2} \times 5}}\)will terminate is?

If the LCM of a and 18 is 36 and HCF of a and 18 is 2 then a is?

If \(a = {2^3} \times 3\), \( b = 2 \times 3 \times 5\), \(c = {3^n} \times 5 \) and LCM (a,b,c)= \({2^3} \times {3^2} \times 5\), then n is?

The decimal representation of the rational number \(\dfrac{{14587}}{{1250}}\)will terminate after?