Quantitative Ap...

In a quadrilateral ABCD, point E lies on side AB such that AE:EB = 2:3. If the point F, divides DE in 8:3 and DG = 20 cm, then find out the area of △BGC to that of △DGC.

The minimum value of the expression |x+3|+|x-3|+|x-6|+|x-5|+|x+5|

Find the number of non-negative integral points that satisfy 2x + y > 16 and x + 2y = 20.

Which condition will a,b,c satisfy if the set of equations 3x + 4y + z = a, 2x + 6y + 4z = b and x - y - 2z = c has atleast 1 solution ? Also a + b + c ≠ 0.

Solve for x in the following equation:

log ₁₀ (x−1) + log₁₀ (2x-1)= 2 * log₁₀ (x+1)

If (|log _(6x+4) (3x−2)|)=1. What is the number of possible values of x?

Find the product of all the values of 3^x+2 such that the values of xx satisfy the following equation: log₃(18 - 3^x) =3−x.

What is the sum of all multiples of 3 less than 1000 which give an odd remainder when divided by 11 ?

A dishonest shopkeeper sells sugar at cost price but makes 25% profit by using faulty weights. He decides to give a discount to attract more customers. What percent of discount should he offer to make 12% profit?

Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 krn, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is