Inductive method of teaching Mathematics we proceed from

• Abstract to concrete

• General to specific

• Known to unknown

• Unknown to known

12.

In a pair of adjacent angles (i) Vertex is always common, (ii) one arm is always common and (iii) uncommon arms are always opposite rays. Then

• (ii) is false

• (iii) is false

• All (i), (ii) and (iii) are true

• (i) is false, but (ii) and (iii) are true

If area of an eq lateral triangle is 'a' having height 'b', then $\frac{{\mathrm{b}}^2}{\mathrm{a}}$ is

• $\frac{1}{3}$

• $\frac{1}{\sqrt{3}}$

• 3

• $\sqrt{3}$

A horse is tethered to a stake by a rope of 30 m long. If the horse moves along the circumference of a circle keeping rope tight, find that how far the horse have gone from initial point if the rope has traced an angle of 105° at the centre ?

• 55 m

• 5.5 m

• 155 m

• 25 m

The sum of two natural numbers is 8. Determine the numbers if the sum of their reciprocals is $\frac{8}{15}$

• 3, 5

• 6, 2

• 4, 4

• None of these

The ratio of two numbers is 5 : 6 and their HCF is 12. Their LCM is

• 60

• 72

• 180

• 360

The value of ${\left[5{\left(8^{\frac{1}{3}} + {27}^{\frac{1}{3}}\right)}^3\right]}^{\frac{1}{4}} \mathrm{is}$

• 5

• 5²

• 5³

• 5⁴

The price of petrol increased by 25%. In order that expenses on petrol should not increase, one must reduce travel

• 25%

• 20%

• 18%

• 15%

$\mathrm{If} \mathrm{x} = 3 + \sqrt{8}, \mathrm{then} \mathrm{value} \mathrm{of} {\mathrm{x}}^3 + \frac{1}{{\mathrm{x}}^3} \mathrm{is}$

• 216

• 198

• 192

• 261

If each exterior angle of a regular polygon is 18°, then the number of sides of the polygon is

• 10

• 15

• 20

• 30