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

2 / 50

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

3 / 50

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

4 / 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.

5 / 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,

6 / 50

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

7 / 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

8 / 50

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

9 / 50

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

10 / 50

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

11 / 50

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

12 / 50

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

13 / 50

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

14 / 50

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

15 / 50

The values of x and y is the given figure are

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

16 / 50

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

17 / 50

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

18 / 50

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

19 / 50

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

20 / 50

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

21 / 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.

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

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

24 / 50

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

25 / 50

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

26 / 50

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

27 / 50

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

28 / 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

29 / 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

30 / 50

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

31 / 50

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

32 / 50

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

33 / 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

34 / 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

35 / 50

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

36 / 50

Which of the following statement is true?

37 / 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 ?

38 / 50

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

39 / 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

40 / 50

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

41 / 50

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

42 / 50

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

43 / 50

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

44 / 50

Which of the following will have a terminating decimal expansion?

45 / 50

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

46 / 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

47 / 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

48 / 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

49 / 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=

50 / 50

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

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