Quantitative Ap...

An urn contains marbles of three colors: red, blue and green. What is the minimum possible number of red marbles if the following events are equally likely:

I selecting three red marbles
II selecting two red and one green marble
III selecting one marble of each color

In a 2 match series against Australia, the runs scored by Prithvi and Rishabh in the first match are in the ratio of 23:26. In the second match as compared to the first match their scores decrease by the same number of runs and their scores are in the ratio of 13:17 in the second match. What is the ratio of Rishabh's score in second match to his score in first match?

How many odd natural numbers less than 1000 are divisible by 3 but not by 7?

A mixture A contains milk and water in the ratio 3:1. Another mixture B contains milk and water in the ratio 22:3. In what ratio should the contents of the A and B be mixed so that the resultant mixture has 80 percent milk in it.

In the fig. given below PQR is a scalene triangle. QM and RN intersect at O such that area of triangle QOR =10cm$$^2$$, area of triangle MOR=5cm$$^2$$ and area of triangle QON=8cm$$^2$$. What is the area of triangle PQR.

The salaries of three friends, Amit, Ramesh, and Suresh, are in a ratio of $$4:6:7$$, while their expenses are in a ratio of $$1:2:3$$. The difference between Suresh's salary and Amit's expenditure equals the sum of Amit's salary and Suresh's expenditure. If the difference between Suresh and Ramesh's savings is Rs. $$1000$$, what is Ramesh's expenditure? 

Savings = Salary - Expenditure

Mr. Mehra is planning for higher education expenses of his two sons aged 15 and 12. He plans to divide Rs 15 lakhs in two equal parts and invest in two different plans such that his sons may have access to Rs. 21 lakhs each when they reach the age of 21. He is looking for plan that will give him a simple interest per annum. The rates of interest of the plans for his younger son and elder son should be

Which of the following statements is false?

If $$\log_7 a = x$$, $$log_{28} a = y$$, then what is the value of $$\log_a 14$$?

Due to inflation, the price of an item increased by 5% in the first month, 10% in the second month, 15% in the third month, 20% in the fourth month and 25% in the fifth month. What is the total percentage increase in the price of the product compared to the initial value?

Two persons P and Q started walking simultaneously from two points A and B respectively along AD and BC, two of the sides of the rectangle ABCD with uniform speeds. By the time P reached D, Q reached E such that BC=4BE. At this point of time, they exchange their speeds and starts walking towards C. If they reach C simultaneously, then what is the ratio of BC to AB?

4 days of Ravi’s work is equal to 3 days of Sahil’s work. If Ravi can complete a particular job in 20 days, then how many days will Sahil take to complete the same work?

Two buses A and B start from city X and travel towards city Y. The speed of A is 60 kmph and the speed of B is 100 kmph. The distance between X and Y is 500 km. As soon as a bus reaches city Y, it starts back towards city X, and as soon as a bus reaches city X, it starts its journey towards city Y. This process continues till the bus B makes 2 trips between X and Y and 2 trips between Y and X. How many times do the two buses meet each other while travelling in opposite directions?

Pramit tried out three different combinations of investments in three stock classes - A, B and C. He observed that he could buy two class A, 3 class B and 2 class C stocks using 15 bitcoins. Similarly, two class A, two class B and four class C stocks could be bought for 20 bitcoins. Using 25 bitcoins, it was possible to purchase five class A, four class B and two class C stocks. Which of the following could be the known values of the stocks A, B and C, in terms of bitcoins?

In the given figure, $$RS\ \bot\ PQ$$ and $$SR=12\ cm$$. If the area covered by the shaded region is of the form $$K\pi\ $$, what is the value of K?

Enter -1 if the answer can't be determined.

Rajesh got cheated by a wholesaler who sold him rice at a rate of 100 per kg with a faulty weight, which weighs 1000gm for 800gm. Rajesh himself uses a faulty weight for his transactions. Rajesh marked up the price of rice by 15% per kg. If Rajesh's scale weighs 1000gm for 750gm and Rajesh earned an approximate profit of Rs 28333 after selling the rice, what was the amount of rice(in kg) that Rajesh thought he purchased?

The Geeta Ice factory supplies ice to the nearby Juice shops in trucks that travel at a rate of 50 km/hr. After every one hour of travel exactly one-fourth of the total ice gets melted. On a particular day, the factory received an order from a Juice shop which is 100 km away. The Ice factory decides to make sure to place an adequate amount of Ice before the transit to compensate for the melting process and charges for the end quantity. If the company decides to sell the ice at marked price what should be the mark-up percentage to make sure the company neither earns a profit nor a loss from the transaction?

If $$(1012)_5=\left(246\right)_x$$, then what is the value of x?

S = {1,2,3,4, . . . , 2n) where n > 20. X is the average of the odd integers in S and Y is the average of even integers in S. The value of X-Y is

In how many different ways can one or more balls be selected from a bag containing 18 identical pink balls, 14 identical violet balls, 8 identical orange balls and 4 different grey balls?

Four buses A, B, C and D, travel at  constant speeds of $$30$$ kmph, $$45$$ kmph, $$60$$ kmph, and $$75$$ kmph, respectively. Buses A, B and D start from the same bus station at $$9$$ AM, $$10$$ AM, and $$11$$ AM, respectively. Bus C overtakes A at the time, which is exactly between the times when buses B and D overtake A. At what time should C start from the station?

What is the number of distinct triangles with integer sides possible whose perimeter is 11?