class 10 sample

The ratio of LCM and HCF of the least composite and the least prime numbers is

• 1:2

• 2:1

• 1:1

• 1:3

The value of k for which the lines 5x+7y=3 and 15x + 21y = k coincide is

• 9

• 5

• 7

• 18

If2sin2β–cos2β=2,thenβis

• 0

• 90

• 45

• 60

The lines x=a and y=b,are

• intersecting

• parallel

• coinciding

The distance of point A(-5, 6) from the origin is

• 11 units

• 61 units

• √11 units

• √61 units

If LCM(x, 18) =36 and HCF(x, 18) =2, then x is

• 2

• 3

• 4

• 5

If the angles of ∆ABC are in ratio 1:1:2, respectively (the largest angle being angle C), then the value of

secA/cosec B– tanA/cotB is

• 0

• 1/2

• 1

• √3/2

In the figure, if DE∥ BC, AD = 3cm, BD = 4cm and BC= 14 cm, then DE equals

• 7cm

• 6cm

• 4cm

• 3cm

If4tanβ=3,then (4𝑠𝑖𝑛𝛽−3cos𝛽 )/(4sin𝛽+3cos𝛽)

• 0

• 1/3

• 2/3

• 3/4

If sum of two numbers is 1215 and their HCF is 81, then the possible number of pairs of such numbers are

• 2

• 3

• 4

• 5