Quantitative Ap...

A sequence of n numbers with first term as 2 was given to Ramesh by Raju.The terms of the sequence were such that the average of k consecutive terms of sequence was greater than the average of (k-1) consecutive terms by 1 where k ranges from [2,n]. Find the sum of the terms of sequence if n=20.

The number of natural numbers, n, less than 50 such that n! is not divisible by (n+1) is?

Out of the 10 machines, numbered 1 to 10, making pills weighing 5 grams each in a factory one is faulty and it produces pills weighing 3 grams each. The sum of weights of “1 pill from machine 1, 2 pills from machine 2, … and 10 pills from machine 10” is 269 grams. Which is the faulty machine?

Jar A contains 5 green balls and 3 red balls while Jar B contains 4 green balls and 2 orange balls. If three balls are picked from each jar, what is the probability that there are exactly 2 red, 2 green and 2 orange balls picked from jars A and B?

A scientist calculates the Mass Flow Rate (M) of a fluid flowing through a pipe. He notices that this variable is directly proportional to the area of the pipe (A), the density of the liquid (D) and the speed of the fluid through the pipe (S). A fluid with a density of 1.5 g/m3 flowing at 20m/s through a pipe of 0.5 m2 area has a mass flow rate value of 230. What value will M take if the above system is replaced with a fluid of density of 2 g/m3, pipe cross-section of 0.75 m2 and flow speed of 30 m/s?

Suresh and Sakshi are at the diagonally opposite ends of a rectangular city which is connected by a grid of roads (8 North-South and 10 East West). In how many ways can Suresh walk to Sakshi's location if he always takes the shortest path possible?

Two bricklayers - $$M$$ and $$N$$ are working on a wall. The time taken by $$M$$ alone to finish the wall is $$‘p’$$ hours more than the time taken had they worked together. Similarly, the time taken by $$N$$ alone to finish the wall is $$‘q’$$ hours more than the time taken had they worked together. What is the ratio of efficiencies of $$M$$ and $$N$$ in terms of $$‘p’$$ and $$‘q’$$?

On a square ABCD, there are 3 points marked on the side AB (excluding A and B), 4 points marked on the side BC (excluding B and C), 5 points marked on the side CD (excluding C and D) and 2 points marked on the side DA ( excluding D and A). How many triangles can be formed from these points (including the vertices A, B, C and D)?

The speed of a stream is half the speed of a boat in still water. Let 's' be the average speed of the entire journey when the boat travels a particular distance upstream and 1.5 times the same distance downstream. Find the ratio of s to the speed of the stream.

In the rectangle WXYZ given below WZ = 13 cm, VX = 5 cm and ZV = 10 cm. a,b and c represent the measure of angle ZWV, WVZ and VZW respectively. Which of the following options accurately shows the relation between a, b and c.

If a person goes from point A to point B at a speed of 20 kmph, he reaches B three minutes later than his usual time. If he goes from point B to point A at a speed of 24 kmph, he reaches A three minutes earlier than his usual time. What is the usual time of travel (in minutes) of the person?

If the length of the direct common tangent of two circles having radii 4cm and 6cm is $$\sqrt{265}$$. Find the length of the transverse common tangent.

Ravish bought certain apples in wholesale. He then marked up the price of the apples by 50 percent. He sold one third of the apples but then he was not getting any buyers. So he started offering a discount of 10 % on the marked price. After selling half of the remaining apples, he was again not getting any buyers. Hence, he sold the remaining apples at a discount of 20 % on the marked price. What is his overall profit percentage in this transaction?

If the lengths of the sides of a triangle ABC where AB = 6cm, AC = 8cm, BC = 7cm. Find the length of the angular bisector drawn from point A to the line BC ?

Two people Abdul and Karim started a business together by investing money in the ratio 7 : 5. The number of months they invested was in the ratio was 4 : 3. The ratio in which Abdul and Karim shared the profit was 2 : 1. If it is known that a fixed proportion of the total profit was paid to Abdul for running the business, then what is this fixed proportion?

The sum of $$n$$ terms of the series $$1,4,4^2,4^3,...$$ is less than 8000. What is the greatest value of $$n$$?

The only source of income of a bank is the interest it charges on loans at the rate r% compounded annually. It also has expenditure in the form of interest offered to people who deposit money in the bank at the rate r% of simple interest. The bank has an equal amount of money lent out as loan and that deposited by people and the time period for both is 3 years.

What should be the minimum integral value of r such that it earns at least 58.33% more than the amount spent in 3 years?

If $$(x+2)$$ is a factor of $$2x^2 + ax - c$$ where $$a \times c$$ is a natural number, and $$4c$$ is an integer divisible by 6. What is the value of $$(a+c)$$?

As part of her science experiment, Priya should conduct the experiment seven times and take the average to get the required result. The average weight as calculated is 27.345 gms. The average of the first three experiments is 27.085. The weight in the fourth experiment is 0.024 greater than in the fifth. Find the weight calculated in the fourth experiment if it is known that the average weight of the sixth and seventh experiments is 27.285.

If $$a,b$$ and $$c$$ are three positive numbers, what is the minimum value of $$a^2(b+c)+b^2(a+c)+c^2(a+b)-6abc$$?

A door to door salesperson sells 80 bottles of fruit squash for Rs x where x is a 2 digit number. However, while recording his sales he reverses the digits of x and the digits of no. of bottles sold. If the money collected by him is Rs 3168 greater than the amount recorded, what is the minimum amount collected by him?

If $$x = \frac{1}{5\sqrt{2} - 7}$$, then find the value of $$x^{3} - 24x^{2} + 139x + 11$$