For the following questions answer them individually
If $$(3x + 1)^3 + (x - 3)^3 + (2x - 4)^3 = 6(3x + 1)(x - 3)(x - 2)$$, then $$x$$ is equal to:
If $$a : b : c = 1 : 3 : 5$$, what is the value of $$\frac{4a - b + 2c}{3(a + b + c)}$$ ?
If A, B and c can respectively complete a piece of work in 20, 24 and 36 days respectively, how many days will they take to complete the work, if they work together ?
The diagonals of a rhombus are respectively 4 cm and 12 cm.Its area (in cm$$^2$$) is equal to:
For an examination ofa practical based subject, the total marks is 100. The break-up for theory, practical, project and viva voce is 40%, 30%, 20%, 10%. A candidate scored 80% in theory, 70% in practical, 60% in project and 50% in viva voce. What was her aggregate percentage ?
If $$\theta$$ is an acute angle, and it is given that $$5 \sin \theta + 12 \cos \theta = 13$$, then what is the value of $$tan \theta$$ ?
If I travel by bus, I reach my office 15 min late, and if I travel by car, I reach 10 min early. If the distance between my home and my office is 25 km, then the difference of the reciprocals of average speeds of the bus and the car, in second per metre is:
The given Bar Graph presents the sale (in 1000 kg) of a particular brand of tea by three outlets, A, B and C during the months Jan, Feb, Mar and Apr, 2018.
What is the ratio of rate of growth in sales from B to the rate of growth in sales from C in Mar 2018 with reference to its previous month ?
The circumcentre, incentre, orthocentre and the centroid ofa triangle are one and the samepoint. The triangle must be:
(a) isosceles (b) right-angled (c) right- angled isosceles (d) equilateral