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

2 / 50

Which of the following statement is true?

3 / 50

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

4 / 50

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

5 / 50

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

6 / 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.

7 / 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.

8 / 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

9 / 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

10 / 50

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

11 / 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 ?

12 / 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

13 / 50

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

14 / 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

15 / 50

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

16 / 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

17 / 50

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

18 / 50

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

19 / 50

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

20 / 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

21 / 50

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

22 / 50

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

23 / 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

24 / 50

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

25 / 50

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

26 / 50

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

27 / 50

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

28 / 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

29 / 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

30 / 50

The values of x and y is the given figure are

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

31 / 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

32 / 50

Which of the following will have a terminating decimal expansion?

33 / 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=

34 / 50

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

35 / 50

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

36 / 50

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

37 / 50

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

38 / 50

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

39 / 50

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

40 / 50

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

41 / 50

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

42 / 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

43 / 50

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

44 / 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,

45 / 50

If n is an even natural number, then the largest natural number by which n(n+1)(n+2) is divisible, 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 value of (12)^{3^{x}}+(18)^{3^{x}}, x∈N, end with the digit.

48 / 50

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

49 / 50

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

50 / 50

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

Your score is

The average score is 38%

0%

Leave a Reply

Your email address will not be published. Required fields are marked *

You cannot copy content of this page