Question
'A' and 'S' ventured into a business with initial
investments of Rs. "w + 32" and Rs.'w', respectively. After 'x' months, 'V' joined them with an initial investment that was 20% greater than 'A's initial investment. At the conclusion of '2x' months, the ratio of profit shares for A, S, and V was 6x:14y:9z, respectively. Determine which of the following relation(s) holds true in this scenario. I. z = 0.4x II. w = 448y/[15z – 14y] III. w = 224y/[3x – 7y]Solution
ATQ, Ratio of profit share of A, S and V = [(w + 32) × 2x]:[w × 2x]:[1.2 × (w + 32) × x] So, [(w + 32) × 2x]/[1.2 × (w + 32) × x] = 6x/9z So, (2/1.2) = (2x/3z) So, z = (1.2x/3) = 0.4x And, [w × 2x]:[1.2 × (w + 32) × x] = (14y/9z) So, w/[0.6 × (w + 32)] = 14y/9z Or, w = 448y/[15z – 14y] And, [(w + 32) × 2x]:[w × 2x] = 6x/14y = 3x/7y Or, w = 224y/[3x – 7y]
\Which shape comes next in the pattern: square, circle, triangle, square, circle, __?
In a certain code language, ‘ACTIVE’ is coded as ‘CBSKUG’, and ‘MEMBER’ is coded as ‘LGLAGQ’. How will ‘LEAGUE’ be coded in that lan...
44 : 4 :: 287 : 7 :: ? : 10
How many numbers are there between 99 and 1000 such that the digit 8 occupies the units place?
Rama is standing at a point facing north. He walks 15 km straight, turns left and walks another 20 km straight and finally turns left and walks 15 km. H...
Ram reached the office before Praful but after Alia. Joe reached the office before Ram but after Sam reached the office. Alia reached the office just a...
Seven boxes M, N, O, W, X, Y and Z are kept one over the other but not necessarily in the same order.
i. N is kept immediately above W.
ii...
Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
11 * 4 * 3 * 3 * 7 * 8
Read the given statements and conclusions carefully. Decide which of the given conclusions is true based on the statements.
Statements:
Z<...
Select a unique number for each letter in the following table according to which a meaningful word will be formed when the letters are arranged.
<...