Quantitative Aptitude - Arithmetic Ability Questions

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2 )?

What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan 5θ – tan 3θ)]?

The value of 2.33+0.0272.33-0.69+0.09

Selling price of a table is Rs 2808. If profit percentage is 17%, then what is the cost price (in Rs) of table?

Two numbers are 35% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number? 

If x = 1 – y and x2 = 2 – y2, then what is the value of xy?

What is the measure of the central angle of the sector whose area is 462 sq cm and radius of the circle is 21 cm?

In the given figure, ∠QRN = 40°, ∠PQR = 46° and MN is a tangent at R. What is the value (in deg) of x, y and z respectively?