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

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

2 / 50

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

3 / 50

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

4 / 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

5 / 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

6 / 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

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

The values of x and y is the given figure are

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

9 / 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

10 / 50

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

11 / 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

12 / 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

13 / 50

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

14 / 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 ?

15 / 50

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

16 / 50

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

17 / 50

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

18 / 50

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

19 / 50

Which of the following statement is true?

20 / 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.

21 / 50

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

22 / 50

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

23 / 50

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

24 / 50

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

25 / 50

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

26 / 50

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

27 / 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

28 / 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

29 / 50

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

30 / 50

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

31 / 50

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

32 / 50

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

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

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

35 / 50

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

36 / 50

Which of the following will have a terminating decimal expansion?

37 / 50

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

38 / 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

39 / 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

40 / 50

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

41 / 50

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

42 / 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.

43 / 50

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

44 / 50

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

45 / 50

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

46 / 50

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

47 / 50

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

48 / 50

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

49 / 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

50 / 50

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

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