Quantitative Ap...

If the sum of the roots of the quadratic equations mx² + (2m - 1)x + 4 and (3m + 1)x² - 6x + (2m - 3) are equal, then find the sum of values of m. 

If the last day of the year 1899 is second to the last day of the week, then find the day of the week on which the date 21^st April, 1904 falls. Assume that a week starts on Sunday.

What will be the maximum volume that can be obtained by rotating a right angled triangle of dimensions 6, 8 and 10 units.

The price of 1 pencil is subtracted from the price of 5 pens is equal to one fifth of the price of 3 pencils and 7 pens. Find the price of pencil as a percentage of the price of pen.

How many subsets of S = (1, 2, 3 , . . . , 400) have the product of their elements an even number?

Find the maximum area of the isosceles trapezium (in units²) whose unequal sides are 4 units and 6 units. Given that it is inscribed in a circle whose radius is 2√3

The year on year increase in the price of a product can be represented as the sum of two different constants A and B which has variable co-efficients. If the price of the product in 2004 was Rs. 80 and the coeffiicients of A and B for the session 2004-05 are 2 and 5 respectively and for the session 2005-06 are 4 and 1 respectively, then find the relation between A and B if the price increases at a constant rate of 20% per year.

The average speed of Mumbai metro train which travels from Ghatkopar to Versova is 30 km/hr and the distance between the two stations is 32 km. Which function represents the distance 'd(t)' remaining in a trip from Ghatkopar to Versova after a certain time 't' from the start? 

In a bag there are 3 blue coloured balls, 6 green coloured balls, 2 white coloured balls and 5 yellow coloured balls. If 2 balls are selected at random from the bag, then what is the probability that none of them is blue? (Enter the correct option number)

Find the value of M in the figure given below,

What is the area of an obtuse angled triangle having two sides as 18 m and 24 m and the angle between them as 150°?

A finance company keeps revising the interest rate it offers every year with a constant percentage increase in rate of interest over the previous year. However, the rate of interest remains same for a certain investment over the years of investment. If an investment of one lakh rupees in 2010 at 6% rate of simple interest and an investment of one lakh rupees in 2011 amounts to the same sum in 2014, then find the rate of simple interest offered in 2015. 

6 equally spaced girls are standing along the circumference of a circle of radius 10 m and facing the center. What is the shortest distance between any two girls facing each other?

What is the sum of the two middle terms of the arithmetic progression {-17, - 1 3 , . . . , 19}?

In how many ways can you arrange 3 girls and 4 boys in a row such that no boys sit next to each other?

Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 77, find the largest number.

Establish relation between x and y if:

1. x² + 13x + 40 = 0
2. y² + 8y + 15 = 0

A shopkeeper gives a discount of 10% on the marked price and sells it for Rs. 540 to earn a profit of Rs. 90. Find the profit percentage if the product is marked Rs. 200 above its cost price for the same absolute value of discount.

A thief is running on a circular track of radius 5 m at 1.5 m / s . A policeman whose speed is twice that of the thief arrived at the starting point of the track 4 seconds after the thief. The policeman can either run along the circular track in the direction of the thief or go to the centre and then go to any point on the circle from the centre. Find the minimum distance covered by the thief after the policeman starts chasing him.

A dishonest shopkeeper mixes pure sugar with some sugar like substance to gain extra profit. The cost price of sugar like substance is 2/3 times the pure sugar. If the shopkeeper wants to gain a profit of 30 % on selling the mixture at the cost price of pure sugar, then find the ratio of sugar like substance to pure sugar in the mixture.

If x = 4⁴ x 5⁶ x 6⁵ x 7¹⁰ x 8⁸, then how many factors of x are of the form 6 A²?

In an examination, 65% of the candidates passed in Mathematics, 55% passed in History, 22% failed in both the subjects and 48909 passed in both the subjects. Find the total number of candidates.

x is a positive integer with value at most equal to 110. How many values of x are possible if x is not a factor of (x - 1)!?

A person starts travelling from a point P towards R passes through Q which is between P and R. The time taken to travel from P to Q is half that of the time taken from Q to R. However, after passing through any of the given points, he travels at a speed which is two-thirds that of the previous journey. Find the time taken, in seconds, to travel from P to R and back to P, if he always passes through Q in the journey and takes 15 minutes to go from P to Q initially.

x² - 3x + 2 > 0, y² - 4y + 3 > 0. If x, y are positive integers and xy = 16, then find the value of Ix-yI.

Find the minimum value of the quadratic expression 3x² + 11x - 23.

50 square stone slabs of equal size were needed to cover, a floor area of 72 sq. m. The length of each stone slab is :

A and B start working on a project. After 10 days B is replaced by C who can complete the project alone in 20 days. If A and B together can complete the project in 30 days, then find the day on which the project will be completed after C replaces B, if the efficiency of B is twice that of A.

37% of the total number of people in a city read newspaper ABC and exceed the number of people who read XYZ by 8000. If 27% of the total population do not read any newspaper then find the population of the city if there are only two newspapers in the city. [Assume that no one reads more than one newspaper].

If x² + x - 2 < 0; then which of the following statement is true?

1. x - 1 > 0
2. x - 1 < 0
3. x + 2 > 0
4. x - 2 < 0

At 12:00 AM both the hour and a minute hand were overlapping each other. How many more minutes does the minute hand travel than the hour hand in the next 54 minutes?

A and B start working together on a project and both have the same efficiency in the beginning. However the efficiency of A decreases to 0.6 times the usual after working for 2 hours. If the project can be finished in 120 man hours, then find the minimum number of days required to finish the work if both do an equal manhours of work each day and the sum of the total number of hours of work by both each day is 12. [ Initial efficiency of A = Efficiency of B = 1 man hour].

The average number of apples per carton for three cartons of apple is 90. The average price per carton is Rs.1500. The average price of apples in the two cartons which do not contain the highest number of apples is 20 and 25 respectively. The price of the carton with the highest number of apples is 1900. If the highest difference in the number of apples in any two cartons is 100, then find the lowest number of apples in a carton.

A saree is one-fourth by length green, two-fifth by length red and the remaining 3850 cm by length is black. What is the length of the saree in meters?

There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40 Kg and that of section B is 35 Kg, find the average weight of the whole class.