Welcome to your Real Numbers Class 10

1.The decimal form of 129225775 is

3. Which of the following is not irrational

4. The product of a rational and irrational number is

5.The sum of a rational and irrational number is

6.The product of two different irrational numbers is always

7.The sum of two irrational numbers is always

8.If b = 3, then any integer can be expressed as a =

9.The product of three consecutive positive integers is divisible b

10.The set A = {0,1, 2, 3, 4, …} represents the set of

11.Which number is divisible by 11?

12. LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by

13. The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is

14.There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students

15.There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet ?

16.Express 98 as a product of its primes

17.Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.

18.For some integer p, every even integer is of the form

19.For some integer p, every odd integer is of the form

20.m² – 1 is divisible by 8, if m is

21.If two positive integers A and B can be ex-pressed as A = xy3 and B = xiy2z; x, y being prime numbers, the LCM (A, B) is

22.The product of a non-zero rational and an irrational number is

23. If two positive integers A and B can be expressed as A = xy3 and B = x4y2z; x, y being prime numbers then HCF (A, B) is

24.The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is

25.The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is

26.The least number that is divisible by all the numbers from 1 to 8 (both inclusive) is

27.The decimal expansion of the rational number 14587250 will terminate after:

28.The decimal expansion of the rational number 972×54 will terminate after:

29.The product of two consecutive natural numbers is always:

30.If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p, then the value of p is

31.The number in the form of 4p + 3, where p is a whole number, will always be

32.When a number is divided by 7, its remainder is always:

33. (6 + 5 √3) – (4 – 3 √3) is

34.If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is

35.According to the fundamental theorem of arith-metic, if T (a prime number) divides b2, b > 0, then

37.If LCM (77, 99) = 693, then HCF (77, 99) is

38.Euclid’s division lemma states that for two positive integers a and b, there exist unique integer q and r such that a = bq + r, where r must satisfy