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# CBSE Test Paper on Real Numbers (Class X, Mathematics, CBSE) Class 10 Notes | EduRev

## Class 10 : CBSE Test Paper on Real Numbers (Class X, Mathematics, CBSE) Class 10 Notes | EduRev

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CBSE TEST PAPER-03
Class X - Mathematics (Real Numbers)

1. The smallest composite number is:-
(a)  1                           (b)  2                             (c)  3                                  (d)  4

2.
1.2348 is
(a) an integer                                   (b) an irrational number
(c) a rational number                     (d) None of there,

3.  p is (a) rational                              (b) irrational
(c) both (a) & (b)                             (d) neither rational nor irrational

4.
(2+ 5 ) is (a) rational                     (b) irrational
(c) An integer                                     (d) Not real

5. Prove that the square of any positive integer of the form 5g+1 is of the same form 
6. Use Euclid’s division algorithm to find the HCF of 4052 and 12576 
7. Find the largest number which divides 245 and 1029 leaving remainder 5 in each
case

8. A shop keeper has 120 litres of petrol, 180 litres of diesel and 240 litres of
kerosene. He wants to sell oil by filling the three kinds of oils in tins of equal
capacity. What should be the greatest capacity of such a tin

9.
Prove that in n is not a rational number, if n is not perfect square

10.
Prove that the difference and quotient of
( )
3 2 3 + and
( )
3 2 3 - are irrational

11. Show that (n
2
-1) is divisible by 8, if n is an odd positive integer  
12. Use Euclid division lemma to show that cube of any positive integer is either of the
form 9m. (9m+1) or 9m+8


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