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Hi chanandelerbong if we put the equation as a+b=3ab , we would see this equation would not stand valid , as LHS will never be equal to RHS for any set of integers except when a and b are both 0. Similarly if we try the alternative way to solve , if we consider 10a+b=a+b as eqn1 and 10a+b=3ab a

The total number of garments sold at a shop during the week starting with Monday and ending with Sunday is 30, with the number of garments sold on any day is greater than the number of garments sold on the previous day. At least one piece of garment was sold on each day. The minimum number of garmen

AB represents a two-digit number. (AB)^2 = DCB, where DCB is a three digit number. so the smallest two digit number(AB) whose square is a 3-digit number (DCB)is 10 as 10^2 (AB)^2 = 100 (DCB) [it is not mentioned that A cannot be equal to D so we can take the value of A as 1] , now here the value of

|x − 1| = 3 |x − 3| --Eqn1 we can write √x^2 = |x| when the power of root is even so keeping that in mind we can write as √(x-1)^2 = 3 * √(x-3)^2 Squaring both the sides , we get , (x-1)^2 = 9(x-3)^2 --> x^2 -2x+1 = 9(x^2 -6x +9) --> x^2 -2x+1 = 9x^2 -54x+81 -->...

We need to calculate the least possible number of marbles in the 8 pouches, so the least possible number would be 8 , considering we have 1 marble in each pouch , now with this in mind let us look at the restrictions/conditions: Let us number the pouches from P1 to P8 we are given that at the most 4

The population increases at the rate of 30,000 people every month, so the population increase every year = 12*30,000 = 360,000 or 36*10^4 Lets x be the number of years to reach the population of 378 million, thus we can set the below equation 378*10^6 - 360*10^6 = 36*10^4*x --> x = [10^6(378-360)...

A, B, C are the centers of the three circles, each of which touches the other. The radius of circle with center C is 10 units. Extend the line CA to make the radius of the circle C as CD , and extend the line CB to make another radius of the circle C as CE , Please see image attached. So we know the

Mr. John dividend on his n shares = 150$ so Mr. John dividend per share = 150/n now Mr. John dividend on m shares = 150m/n and this dividend value of 150m/n will be the same as the dividend earned by Mrs. John as they bought the shares of the same stock and in this case the same amount i.e. m shares

At a residential society, 30 percent of the families have 5 or more vehicles per family and 40 percent of the families have 3 or fewer vehicles per family. If we consider the total to be 100% then it means that 30% of families have greater than 3 and less than 5 vehicles i.e. 4 vehicles ( vehicles a

A two-digit number is equal to the sum of the digits and thrice the product of the digits. Let the 2-digit number be 10a+b ( a and b are the tens and unit digit respectively) Now based on the question we can write the equation as 10a+b = a +b+ 3(a*b) --Eqn1 10a+b = a+b+3ab --> 9a=3ab , Divide bot...

So based on Venn-diagram we can write Total = % of female voters voting for Only Edith + % of female voters voting for Only Jose + % of female voters voting for Both + Neither - (Eqn1) Here Neither = 0 since the question says that each of the 900 voters voted for either Edith or Jose or both Now % o

First bowl contains mangoes to orange in ratio - 3:1 Second bowl contains mangoes to orange in ratio - 1:1 ( 2 mangoes and 2 oranges ) Now the Probability that the number of mangoes in the first bowl will increase = probability that the orange is selected from the first bowl and to be placed in seco

Let us try to solve using Venn-diagrams: Given , Student loans (SL) = 30% and Scholarships (SS) = 40% , and Only Scholarships , but no loan (Only SS) = 25% So the student loans data comprises of students who received only student loans and who received both student loans and scholarships Similarly t

In case someone wants to solve algebraically (p.s. I do not recommend since it might complicate things :) ) let the value that can give Maurice the correct result be "x" and the original number be "a" . thus we can either multiply or divide by x to get the correct result . Equati...

Hi Carcass please just replace 1 by + and 2 by - for easy understanding :)

Given , Total Selling price = Marked Price + 9%of Marked Price (Sales tax as per the question) if we let the Marked price be x, we can set up a equation based on the constraints given: 20>x+9x/100>15 (the Total sale price will always be less than 20$ since John received a certain amount as cha...

Hi Carcass , I think the question needs to be changed to mention the ratio of W:O as 5:7 , it currently mentions W:O as 3:7 , which will make the answer A false "A dressing recipe calls for vinegar and oil to be in the ratio 2 : 3 by volume, and for water and oil to be in the ratio 3 : 7 by vol

Hi Carcass I presume option D is trying to say that there are at least 10 attendees

^m^ is equal to the digits in positive integer m in reverse order, discounting the zeroes (e.g. ^41^ = 14 but ^3500^ = 53). Which of the following must be true? Select all that apply. In this question seems better to plug in values to reach the correct answer, and since question asks for "must ...

Let the big integer be "a" and small integer be "b". thus given a - b= 30 now we have the answer choices in the ratio form , we can use that ratio form to put in our original equation to check if we can get a valid value . E.g. option A states 5:2 so let the ratio be x between th...