Quantitative Ap...

'A', 'B' and 'C' are three friends whose incomes are in ascending arithmetic progression. Incomes of 'A', 'B' and 'C' is Rs. (x² - 1600), Rs. (50x + 19000) and Rs. (x² + 4400), respectively. Out of the given persons whose income is a perfect cube, spends 60% of his income and saves the rest such that his savings is equal to the average of savings of other two persons. The person, whose income is (20/9) times the savings of person whose income is a perfect cube, spends Rs. '90x'.

The sum of the income and expenditure of the person who spends the least is how much percent more/less than savings of the person who saves the most?

There are five students in a class - P, Q, R, S, and T. Marks obtained by P is (3M + 2N), by Q is (N + 2M), by R is (2N + M). marks obtained by S is 100 (more than rest 4 students) which is twice as that of T. Marks obtained by T is (N + 2Y). M > N, both the distinct multiple of 10.

Find the average score of five students together if difference between marks of Q and R is at least 10.

I. 2(3M - 2N) - 4²

II. 3Y + 4

III. 3(4N - Y) + 4²

Pradip bought some candles and matches. Sandip spent the same amount as Pradip and bought half as many candles and 30 more matches than Pradip. For the given two persons, the cost of one match is Rs. 10 less than that of one candle and they bought at least one item of both types.

If the cost price of each candle is Rs. 30, then find the number of matches bought by Sandip.

There are four earners in a family. The highest earner makes Rs. 5 lakh per month, whereas the lowest earner makes Rs. 2.4 lakh per month. Which of the following statement(s) is/are true?

I. The average monthly income of the family can be Rs. 3.3 lakh.

II. The average monthly income of the family can be Rs. 3 lakhs.

III. The difference between maximum and minimum possible average monthly income of the family is Rs. 1.30 lakhs.

Two cyclists start from the same place to ride in the same direction. Ravi starts at noon with a speed of 20 km/hr and Hari starts at 1:30 pm with a speed of 25 km/hr. At what times, will Ravi and Hari be exactly 7 kms apart?

Harshit mixed 'P' litres water in 120 litres alcohol and sold the entire mixture to Punit. Punit further diluted the mixture by adding 20 litres water. If the percentage of quantity of alcohol in the resultant mixture is not less than that of water, then which of the following statement(s) can/could be true? [Minimum value of 'P' is 65]

I. Maximum value of 'P' is 120.

II. If Punit did not dilute the mixture further, then quantity of water in the mixture would be half that of alcohol.

III. If Punit further dilutes the mixture by adding 40 more litres of water, then the quantity of water and alcohol in the mixture would become equal.

Two real numbers are randomly selected between 0 and 100. Find the probability that the difference between the two numbers is less than or equal to 30.

In the figure given below, a rectangle EFGH is inscribed in a circle. ADBC and HIJK are rectangles such that points A, I, J and B lie on the circumference of the circle. If AD = EF = HI = 2 cm and ED = 1 cm, then find the diameter (in cm) of the circle.

A square with maximum possible length of the side is inscribed in an equilateral triangle and a circle of maximum possible radius is inscribed in the square. Find the ratio of the length of side of the equilateral triangle to the radius of the circle.

In a quiz competition, six teams with two members, one man and one woman each, participated. During dinner, all the 12 members were seated around a round table. Find the probability that no man sat to the left of the woman from his team, provided that men and women were alternately seated.