Quantitative Ap...

Ranjit’s invested in a bank deposit and his investment doubled in 2 years. If the interest is compounded semi annually, what is the approximate annual rate of interest?

A year is selected at random. What is the probability that it contains 53 Mondays?

WXYZ is a rhombus whose diagonals intersect at the origin of the XY plane. If the side WX is X + Y = 3, what can be the equation of the side YZ?

Let $$a_1=0.5 \ and \ a_{k+1}=a_k^2+a_k$$. Find the sum of the series $$\dfrac{1}{a_1+1}+\dfrac{1}{a_2+1}+$$.....upto infinity.

Ram’s investment grew by 25%, 30% in the first year and second year respectively. If after three years his net return on the investment for the entire period is 50%, then find out the return on his investment in the third year alone?

Given the expression $$\frac{(ab+xy)(ax+by)}{abxy}$$ and a,b,x,y are positive numbers.Find the value which is not possible for this expression.

|x| - 16 = |x+5| has how many integer solutions?

If a car travels at 50 km/hr, it reaches its destination at 5 PM. If it travels at 60 km/hour, it reaches its destination at 4 PM. What is the speed(in km/hr) required to reach the destination at 3 PM?

A trader sells an item for 20% discount and still manages to get 20% profit. What is his profit/ loss % if he gives a discount of 30%?

While eating a triangular slice of pizza, Ramesh decides to present a puzzle to his friend: “If the one side of the pizza slice is the geometric mean of the others, which of the following cannot be a value of the common ratio?

The average marks of classes P, Q, R in a certain test are 62,71,79 respectively. The average marks of classes P and Q are 66. The average marks of classes Q and R are 74. The average marks of classes P and R are approximately:

Vikram bought three different varieties of wheat - $$W_1,W_2\ and\ W_3$$ - costing Rs.20/kg, Rs.50/kg and Rs.100/kg respectively. He mixes them in some ratio and sells them at Rs.100/kg which earns him a profit of 25%. Which of the following can be the ratio in which he mixed $$W_1,W_2\ and\ W_3$$?

In a descending escalator that has 250 steps, Ravi is running upwards and Ramu is running downwards at different speeds. The speed of the escalator is the difference of twice the speed of Ravi and five times the speed of Ramu. Given that the ratio of speeds of Ravi and Ramu is 4:1, find the step of the escalator from top on which Ravi and Ramu meet.

A, B and C can finish a job working alone in 8, 12 and 18 days respectively. They all work together for 3 days, then A and B quit. How many days will C take to finish the remaining part of the job working alone?

A can do a piece of work in 35 days, B and C together can do the same work in 15 days, also, D and F together can do an equivalent amount of work in 10 days, and if E also joins them, they take half the time. On what day is the work finished if on the first day, A, B and C work together, on the second day, D and F work together and on the third day only E works, and it continues in a similar way till the work is finished?

Let f(x) = $$ax^2+bx+c$$; a,b,c are constants and a not equal to 0. It is given that f(5) = -4*f(2) and 7 is a root of the equation. What is the value of a+b+c?

Two tangents are drawn from points A, B and C to a circle.The tangents drawn from point A and B intersect at D. The tangents from B and C intersect at E and the tangents from C and A intersect at F. If the length of AD = 6 cm, EC = 4 cm. The angle ACB is 60 degrees and Points D, E, F are points on the circumference of the circle. Find the circum radius of the triangle formed by points A, B and C.

Akshat started a business by investing 60,000. Three months later, his brother Nikhil joined him by investing 40,000. At the end of the year, Nikhil received 27,600 as his annual profit share which also included a salary of 19% of the annual profit. Find Akshat’s annual profit share.

If triangles with integral sides are formed with a perimeter of 72 cm of which a are equilateral triangles, b are isosceles triangles which are not equilateral and c are scalene triangles. What is 3a+2b+c = ?

How many five digit numbers (formed using 1, 2, 3 and 4 only) have atleast two 1s?

Area of base of a pyramid is expressed in terms of x as: $$ 6x^2-12x+12  cm^2 $$ . Height is also given to be 2.5 cm. What is the minimum possible volume of the pyramid?

What is the number of trailing zeroes in 1000! ?