Quantitative Ap...

Certain work can be done by a man, a woman and a kid alone in 6, 15 and 10 days respectively. How many women must assist one man and one kid to complete the given work in 3/5th day?

What is the minimum number of cards that need to drawn from a shuffled deck to ensure that there are at least two cards belonging to the same suit?

In triangle PQR, the angles form an arithmetic progression. If the side opposite to the angle serving as the middle term in the AP is 8 cm long, what is the circumradius (R) of the triangle?

Ram travels 30 Km from A to B at 36 Kmph and another 20 Km from B to C at 24 Kmph. If he travels back on the same route, from C to A, at 30 Kmph, what is his average speed in the entire journey?

What will be the maximum volume(in cm$$^3$$) of a cone that can be obtained by rotating a right angled triangle PQR such that QPR is a right angle,QP=21cm and QR=35cm.

Raja runs a bakery. He buys milk at the rate of Rs.25 per litre. To make a Kg of milk sweet, 500 gm of sugar is added to 3 litres of milk and the mixture is condensed.  A kg of sugar costs Rs.40 and Raja has to pay Rs.20 to his employee for every Kg of milk sweet he makes. If Raja makes a profit of Rs. 460 by selling the sweet at a price 20% more than its cost price, then the amount he spent on buying sugar is 

A circle circumscribes a triangle such that the largest side of the triangle is the diameter of the circle. The length of all the sides of the triangle are integers. One of the sides, which is not the largest, is 7 cms in length and the other two sides being a and b(which is the diameter). How many ordered pairs of (a,b) exists?

A man has a rectangular shaped field. He wants to give a portion of it to his two daughters. He plans to draw lines from two adjacent vertices to point P which lies on the opposite side of the rectangle to get a triangle. He would then divide this triangle into two parts, by drawing the angle bisector of the angle P of the triangle. He would give one part of the triangle to each daughter, and keep the rest of his field to himself.

If the area of the rectangle is X sq units and the areas that the daughters get are A and B sq units, which of the following can be the ratio of A and B?

X, A, and B are integers and X is a two-digit number that is preceded and followed by a perfect square and a perfect cube number respectively on the number line.

5 humans and 4 robots take 24 hours to complete a piece of work, and 20 humans and 5 robots take 17 hours to complete the same work, if x denotes the number of hours in which a human can complete the work, find out the value of x.

The market presence of ABC Co. in market P is 40% while it is 50% in market Q and 80% in market R. Projections for the future suggest that the markets will grow by 25%, 50% and 60% respectively. If market Q is $$33\frac{1}{3}$$ % less in size as compared to market P and market R is 12.5% bigger than market Q, then what will the overall growth percent of the company, assuming the market presence remains the same.

In a Fibonacci series, from the third term onwards, each term equals the sum of its preceding two terms. In a Fibonacci series consisting of natural numbers, the difference in the squares of the fourth and third terms is 559, what is the seventh term?

If a, b and c are integers such that -60 < a, b, c < 60 and a+b+c = 40, then what is the maximum possible value of a*b*c?

When the roots of the equation $$ax^2-84x+c = 0$$ (a>0)are in the ratio 5:9 and one root is greater than the other by 12, what is the value of $$\frac{c}{a}$$?

Enoch takes a loan from a loan agency named “Luciano Financial Services” at $$10$$% per month simple interest. Due to a loss in business, Enoch wasn’t able to pay any instalments for two years. To pay his debt to the agency, he takes a loan from the Atlantic City Bank worth the total amount he had to pay, at $$10$$% pa compound interest, which he pays back in the next two years. If the difference between the interest paid by Enoch to the loan agency and the bank is $$\$33720$$, what was the total amount (in $) he had to pay to the loan agency?

What is the remainder when $$1.1!+2.2!+3.3!+4.4!+.…+11.11!$$ is divided by 12?

An article falls and breaks into two pieces whose weights are in the ratio 2:3.1 and the value of that article is directly proportional to the square of its weight. If the original article price is Rs. 28611 then find the price of article after the fall?

The price of a watch is marked up by 40% on its previous selling price and a discount of 50% is offered on the marked up price. If the profit made after the discount is 20%, find the profit made on the watch (in percentage) if the discount offered was 25%.
(If the answer is a%, enter a as your answer).

Four containers (equal in size) have mixtures of milk and water in the ratio 4:3, 5:4 , 1:2 and 2:5 respectively. Mixtures from all the four containers are poured into a big vessel which is 4.2 times of the size of each container and the remaining part of big vessel is filled with water. Find the ratio of milk to water in the big vessel ?

A bag contains a total 20 coins consisting of Re.1, 50 paisa and 25 paisa coins. If the total value of coins contained in the bag is Rs. 18.25, what is the number of 50 paisa coins in the bag?

If a box contains sheets with 150 sheets with each sheet have a unique number among 1 to 150 written on top it. What is the probability that when a sheet is picked, it contains a number which is a multiple of 3 and of the form 7k+2 where k is a whole number ?

If $$\log_2 a + \log_4 a + \log_{16} a + \log_{256} a + . . . = 1$$, find a?

Three friends Ramesh, Suresh and Mahesh work in Surat but they have to attend the new-year party in Ahmadabad. Due to their hectic schedule, all of them can’t go together and each prefers to go on his own bike. Ramesh and Suresh started from Surat at the same time whereas Mahesh started 20 minutes later. During the journey, Mahesh overtook Suresh an hour after he overtook Ramesh. If the speed of Ramesh and Suresh were 60 km/hr and 75 km/hr, then find out the speed of Mahesh.