Quantitative Aptitude - Arithmetic Ability Questions

Let ratio of the incomes of Pavan and Amar be 4x and 3x

and Ratio of their expenditures be 3y and 2y

4x - 3y = 1889 ......... I

and

3x - 2y = 1889 ...........II

I and II

y = 1889

and x = 1889

Pavan's income = 7556

Let the side of the square be x. Then, its diagonal = 2x.  

Radius of incircle = x/2  and radius of circumcircle =2x2 .

Therefore, required ratio = πx24:πx22 = 14:12=1:2

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 63  

=>  9 (x - y) = 63

=> x - y = 7.

Thus, none of the numbers can be deermined..

Let, Total of current ages of the 2 daughters is A years.
Then, father’s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father’s current age = 45 years.

Let, Ages of Vijaya and Simran – 1 year ago was 4A and A years correspondingly.
Then, [(4A + 1) + 6] – [(A + 1) + 6] = 9
3A = 9  => A = 3

Needed Ratio = (4A + 1) : (A + 1) = 13 : 4

Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5)

                                    = 96 : 60 : 280.

Let total rent be Rs. x. Then, A's share = Rs.96x436

 ∴96x436=960 ⇔x=960×43696=4360

Hence total rent of the field is Rs. 4360.

point to be remembered

area of a square = 12diagonal2