Class-10,Math,Real Numbers

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Q1)A number when divided by 61 gives 27 as quotient and 32 as remainder, then the number is: *

1 point

1967

1796

1679

1569

Q2)Every positive even integer is of the form ____ for some integer ‘q’. *

1 point

2q – 1

2q + 1

none of these

Q3)Every positive odd integer is of the form ________ where ‘q’ is some integer. *

1 point

3q + 1

5q + 1

2q + 1

2q + 2

Q4)For any two positive integers a and b, such that a > b. there exist (unique) whole numbers q and r such that *

1 point

a = qbr

a = bq + r,0⩽r<b

q = ar + b , 0⩽r<b

b = aq + r,0⩽r<b

Q5)For any positive integer ‘a’ and 3, there exist unique integers ‘q’ and ‘r’ such that a = 3q + r where ‘r’ must satisfy *

1 point

0<r ⩽ 3

0 < r < 3

0⩽r < 3

1 < r < 3

Q6) If 112=q×6+r, then the possible values of r are: *

1 point

0, 1, 2, 3

0, 1, 2, 3, 4, 5

2, 3, 5

1, 2, 3, 4

Q7) By Euclid’ division lemma x = qy + r, x > y the value of q and r for x = 27 and y = 5 are: *

1 point

cannot be determined

q = 5, r = 3

q = 5, r = 2

q = 6, r = 3

Q8) Every positive odd integer is of the form 2q + 1, where ‘q’ is some *

1 point

integer

None of these

whole number

natural number

Q9) Any ____________ is of the form 4q + 1 or 4q + 3 for some integer ‘q’. *

1 point

positive even integer

prime number

positive odd integer

composite number

Q10) The product of three consecutive positive integers is divisible by *

1 point

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