Real Number MCQ Test Part 3

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Q (1): An army contingent of 104 members is to march behind an army band of 96 members in a parade.The two groups are to march in the same number of columns. what is the maximum number of columns in which they can march?

1 point

( a ) 4

( b ) 6

( c ) 2

( d ) 8

Q (2): Find HCF and LCM of 404 and 96 .

1 point

( a ) HCF = 5, LCM = 9321

( b ) HCF = 4, LCM = 9696

( c ) HCF = 8, LCM = 8345

( d ) HCF = 9, LCM = 8876

Q (3): Find the smallest natural number by which 1,200 should be multiplied so that the
square root of the product is a rational number.

1 point

( a )1

( b )4

( c )0

( d )3

Q (4): a and b are two positive integers such that the least prime factor of a is 3 and the least prime factor of b is 5. Then, calculate the least prime factor of (a+ b)

1 point

( a )0

( b )1

( c ) 2

( d )3

Q (5): The HCF of 65 and 117 is expressible in the form 65m-117 . Find the value of m.

1 point

( a ) m = 3

( b ) m = 6

( c ) m = 2

( d ) m = 8

Q (6): Find HCF of 81 and 237 and express it as a linear combination of 81 and 237 i.e,
HCF (81, 237) =81x +237 y for some x and y.

1 point

( a ) HCF = 1, x = 11, y = -26

( b ) HCF = 6, x = 9, y = -22

( c ) HCF = 3, x = 13, y = -38

( d ) HCF = 2, x = 18, y = -41

Q (7): What is the HCF of smallest prime number and the smallest composite number ?

1 point

( a ) 4

( b ) 2

( c ) 6

( d ) 3

Q (8): The length, breadth and height of a room are 8m 50 cm, 6 m 25 cm and 4m 75 cm respectively. Find the length of the longest rod that can measure the dimensions
of the room exactly.

1 point

( a ) 50 cm

( b ) 75 cm

( c ) 15 cm

( d ) 5 cm

Q (9): The product of a non-zero rational and an irrational number is:

1 point

( a ) Always irrational

( b ) Always rational

( c ) Rational or irrational

( d ) None

Q (10): Find the smallest positive rational number by which 1/7 should be multiplied so that its decimal expansion terminates after 2 places of decimal.

1 point

( a ) 6/35

( b ) 9/24

( c )5/21

( d ) 7/100

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