Multiple Choice Questions (MCQs) Maths Class 10 Chapter 1 Real Numbers

Multiple Choice Questions

MCQs of Chapter 1 Real Numbers

MCQs of Chapter 1 Real Numbers

1 / 50

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=

2 / 50

The value of 0.\overline{235} is :

3 / 50

What is the largest number that divides 245 and 1029, leaving remainder 5 in each case?

4 / 50

If a+bp^{\frac{1}{3}}+cp^{\frac{2}{3}}=0, where a, b, c, p are rational numbers and p is not perfect cube, then

5 / 50

  1. The L.C.M. of x and 18 is 36.
  2. The H.C.F. of x and 18 is 2.

What is the number x ?

6 / 50

If p_{1} and p_{1} are two odd prime numbers such that p_{1}>p_{2}, then p_1^2-p_2^2 is

7 / 50

Consider the following statements: For any integer n,
I. n^{2}+3 is never divisible by 17.
II. n^{2}+4 is never divisible by 17.
Then,

8 / 50

Two positive numbers have their HCF as 12 and their product as 6336. The number of pairs possible for the numbers, is

9 / 50

For any natural number n, 9^{n} cannot end with the digit.

10 / 50

Which of the following statement(s) is/are not correct?

11 / 50

The number 3^{13}-3^{10} is divisible by

12 / 50

The values of x and y is the given figure are

mcq-questions-maths-class-10-ch-1-q-20

13 / 50

The rational form of 0.2\overline{54} is in the form of \frac{p}{q} then (p+q) is

14 / 50

On dividing a natural number by 13, the remainder is 3 and on dividing the same number by 21, the remainder is 11. If the number lies between 500 and 600, then the remainder on dividing the number by 19 is

15 / 50

Without Actually performing the long division, the terminating decimal expansion of \frac{51}{1500} is in the form of \frac{17}{2^{n}\times 5^{m}}, then (m+n) is equal to

16 / 50

A circular field has a circumference of 360 km. Two cyclists Sumeet and John start together and can cycle at speeds of 12 km/h and 15 km/h respectively, round the circular field. They will meet again at the starting point after

17 / 50

A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Values of x, y and n respectively are

18 / 50

The sum of exponents of prime factors in the prime factorisation of 196 is

19 / 50

When a natural number x is divided by 5, the remainder is 2. When a natural number y is divided by 5, the remainder is 4. The remainder is z when x + y is divided by 5. The value of \frac{2z-5}{3} is

20 / 50

The rational number of the form \frac{p}{q}, q≠0, p and q are positive integers, which represents 0.1\overline{34} i.e., (0.1343434..........) is

21 / 50

Given that L.C.M. (91, 26) = 182, then H.C.F. (91, 26) is

22 / 50

A number lies between 300 and 400. If the number is added to the number formed by reversing the digits, the sum is 888 and if the unit’s digit and the ten’s digit change places, the new number exceeds the original number by 9. Then the number is

23 / 50

When 2^{256} is divided by 17 the remanider would be

24 / 50

If x and y are odd positive integers, then x^{2}+y^{2} is

25 / 50

The least number which when divided by 15, leaves a remainder of 5, when divided by 25, leaves a remainder of 15 and when divided by 35 leaves a remainder of 25, is

26 / 50

Product of two co-prime numbers is 117. Their L.C.M. should be

27 / 50

There sets of Mathematics, Science and Biology books have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. The number of Mathematics books is 240, the number of Science books is 960 and the number of Biology books is 1024. The number of stack of Mathematics, Science and Biology books, assuming that the books are of the same thickness are respectively.

28 / 50

Which of the following statement(s) is/are not correct?

29 / 50

What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively?

30 / 50

If P = (2)(4)(6)...(20) and Q = (1)(3)(5)...(19), then the HCF of P and Q is

31 / 50

The largest non-negative integer k such that 24^{k} divides 13! is

32 / 50

Which of the following rational number have non-terminating repeating decimal expansion?

33 / 50

For some integer q, every odd integer is of the form

34 / 50

The sum of three non-zero prime numbers is 100. One of them exceeds the other by 36. Then the largest number is

35 / 50

Which of the following statement is true?

36 / 50

Which of the following will have a terminating decimal expansion?

37 / 50

The value of (12)^{3^{x}}+(18)^{3^{x}}, x∈N, end with the digit.

38 / 50

 

If X=28+(1\times 2\times 3 \times 4\times ...\times 16\times 28) and Y=17+(1\times 2\times 3 \times 4\times ...\times 17), then which of the following is/are true?

  1. X is a composite number
  2. X is a prime number
  3. X-Y is a prime number
  4. X+Y is a composite number.

39 / 50

If m=n^{2}-n, where n is an integer, then m^{2}-2m is divisible by

40 / 50

For some integer m, every even integer is of the form

41 / 50

If p, q are two consecutive natural numbers, then H.C.F. (p, q) is

42 / 50

Which of the following statement(s) is/are always true?

43 / 50

The unit digit in the expression 55^{725}+73^{5810}+22^{853} is

44 / 50

If n is an even natural number, then the largest natural number by which n(n+1)(n+2) is divisible, is

45 / 50

The product of unit digit in (7^{95}-3^{58}) and (7^{95}+3^{58}) is

46 / 50

Let a_{1},a_{2},...,a_{100} be non-zero real numbers such that a_{1}+a_{2}+...+a_{100} Then,

47 / 50

The decimal expansion of the rational number \frac{33}{2^{2}\cdot5} will terminate after

48 / 50

The least number which is a perfect square and is divisible by each of 16, 20 and 24 is

49 / 50

Given that \frac{1}{7}=0.\overline{142857}, which is a repeating decimal having six different digits. If x is the sum of such first three positive integers n such that \frac{1}{n}=0.\overline{abcdef}, where a, b, c, d, e and f are different digits, then the value of x is

50 / 50

Which of the following statement(s) is/are not correct?

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