The value of cosec²60° + sec²60° - cot²60° + tan²30° will be

• 5

• 

• 

• 

A man buys a table and chair for Rs. 500/-. He sells the table at a loss of 10% and chair at a gain of 10%. He still gains Rs. 10/- on the whole. The cost price of chair (in Rs) is:

• Rs. 200

• Rs. 250

• Rs. 300

• Rs. 350

The least number that must be added to 8961 to make it exactly divisible by 84 is

• 27

• 57

• 141

• 107

The average age of a class of 39 students is 15 years. If the age of the teacher is included, then the average increases by 3 months. Find the age of the teacher.

• 30

• 25

• 35

• 40

If  and  the value of x⁴ + y⁴ - 2x²y² is

• 4

• 8

• 16

• 64

In Δ ABC and Δ DEF, if ∠A = 50°, ∠B = 70°, ∠C = 60°, ∠D = 60°, ∠E = 70° and ∠F = 50° then

• Δ ABC ~ Δ FED

• Δ ABC ~ Δ DFE

• Δ ABC ~ Δ EDF

• Δ ABC ~ Δ DEF

67.

In a Δ ABC,  if , then .

• 22.5°

• 90°

• 67.5°

• 112.5°

If sin θ + cosec θ = 2,  the value of sinⁿ θ + cosecⁿ θ is

• 2n

• 

• 2

• 0

If 2^x+4 - 2^x+2 = 3,  then the value of 'x' is

• 0

• 2

• -1

• -2

Two persons are on either side of a temple, 75 m high, observe the angle of elevation of the top of the temple to be 30° and 60° respectively. The distance between the persons is

• 173.2 m

• 100 m

• 157.7 m

• 273.2 m