Quantitative Ap...

The sum of three prime numbers is more than 150. The sum of squares of these numbers is less than 8600. If the three numbers are in arithmetic progression, then what is the average of these numbers?

Find the sum of the last 3 digits of number $$23^{500}$$.

Four vessels contain alcohol of 80%, 60%, 40%, and 10% concentration. If 5 litres of first container, 6 litres of 2nd container and 3 litres of 3rd container are taken, how many litres of fourth container should be taken so that in the resultant mixture, the ratio of alcohol to water becomes 1:4?

A bag contains 3 red balls, 5 blue balls, 2 green balls and 6 black balls. If 2 balls are picked at random from the bag, what is the probability that at least one of them is either green or black?

Amar takes twice as long as Akbar and Anthony together to complete a piece of work. Akbar takes as long as Amar and Anthony together to complete the same piece of work. If it is known that Anthony alone takes 40 days to complete the work then find the number of days which Amar and Akbar take to complete the work.

“Throw head” is a game in which a player keeps tossing a coin till it’s a head. For every tail, he loses Re 1 and when he finally throws head, he gains Rs. 5. What is the expected money a person can make playing the game?

A can do 1/3rd of the work in 10 days. B can do half of the same work in 15 days. In how many days will the work be completed if they both work together?

How many isosceles triangles of integral sides can be formed, such that the perimeter is 43?

Raghu, Raghav and Raja ran on a racetrack at their respective constant speed. Raghu finished the race when Raghav was 200m behind and Raja was 350m behind. Raghav finished the race when Raja was 180 m behind. What is the length of the race track in meters?

Find the length of the diagonal AC of an isoscles trapezium with the dimensions as shown.

Captain America and Batman run a 10 km race on a circular track of length 1000m. They complete one round in 200 seconds and 400 seconds respectively. After how much time from the start will the faster person meet the slower person for the last time?

At the centre of a city’s municipal park there is a large circular pool. A fish is released in the water at the edge of the pool. The fish swims north for 300 feet before it hits the edge of the pool. It then turns east and swims for 400 feet before it hits the edge of the pool. What is the area of the pool?

Sita and Gita bought different scarfs from a whole-seller and sold them to a customer. While speaking to each other later, they noted that they had the same profit percentage. The selling price of Gita’s scarf is 25% more than the selling price of Sita’s scarf, and the cost price of Gita’s scarf is 20% less than the cost price of Sita’s scarf. If it is known that Sita correctly calculates profit percentage as a per cent of cost price and Gita incorrectly calculates profit as a per cent of the selling price, find the profit percentage when Gita calculates on the cost price?

The alternate vertices of a regular hexagon are joined to form a triangle. Find the ratio of the areas of the triangle to the hexagon?

Kartik bought a sweater at a successive discount price of 50% and 30% from a mall. After showing it to a fashion expert, he got to know that he had been fooled into paying a 30% markup on the wholesale price of the sweater. If he sells this sweater in a market at a markup of 10% on the wholesale price, what is his approximate profit/loss percentage?

If $$x^2,y^2,z^2$$ are in AP then

In a recurring deposit (RD) account, a fixed amount of money is deposited at regular intervals for a certain duration of time. The total amount at the end of this time period is called the maturity value. This maturity value is the sum of the total amount deposited in regular intervals and the total interest earned. Sayan opened a recurring deposit account in a bank of Rs.600 per month at the simple rate of interest of 12% per annum. At the time of maturity, he received a maturity value of Rs.16,200. Find the duration of time (in months) for which the account was held.

If $$\log _{35} X = A; \log _{55} X = B$$ and $$\log _{77} X = C$$, what is the value of $$\log _{385} X$$ ?

P and Q are two alloys of gold and silver prepared by mixing metals in the ratio 4:7 and 7:5, respectively. If quantities of alloys from P and Q melted are in the ratio of 4:3 to form a third alloy R, find the ratio of silver to gold in alloy R.

If A is a positive number such that, $$A^{1/7} > A^{1/11}$$, which of the following is always false about A?

Krishna paid Rs. 212 to buy 10 mangoes, 1 banana and 3 apples. His friend Ravi paid Rs. 228 to buy 6 mangoes, 3 bananas and 9 apples. Find out the amount that Ramesh will have to pay for 9 mangoes, 5 bananas and 15 apples.

If $$y\ =\ \frac{x}{4x^2+15x+9}$$ for all $$x>0$$, what is the greatest possible value of y?