Quantitative Ap...

A person decides to grow his hair long in the year 2017. His hair count is 10,000 and each hair is 1 cm long. However, he figures that he loses his hair at the rate “999 hair per unit centimeter of hair growth”. What will be his hair count when his hair is 11 centimeter long?

How many 4 digits numbers ending with 36 are perfect squares?

The ratio of current ages of Bhanu and Carol is equal to that of Amy and Bhanu six years ago. Six years hence, Carol will be as old as Amy was six years ago. If only two of them have their present ages as perfect squares, what is the sum of their current ages?

A marksman has an accuracy of 0.6, that is he can hit the target 6 out of 10 times. If he shoots at the target four times, what is the probability that he has hit the target at least once?

A group of men can complete a work in 15 days. They started working together but 5 men leave the job on each alternative day starting from day 2. Hence the work gets completed in 25 days. What is the total number of men that worked on day2?

In how many ways can 4 Americans and 8 Chinese be arranged so that no two Americans shall be together ?

Four friends Arijit, Bhole, Chetan and Diljit can finish a wall in 140, 56, 40 and 35 days respectively. One of the friends who was angry at the others went rogue and decided to break down the wall at the same rate he would have built it. Two friends, including the one who went rogue, are assigned among the four to work on the wall. If only these two had worked on the wall, the work would have been completed in 90-100 days. However, one more friend joined them and the work was completed in 28 days. Who among the friends went rogue?

The maximum distance illuminated by a candle decreases uniformly from 9 metres at the start to 1 metre at the end of four hours. A new candle is lighted at the centre of a large room, what is the area(in sq m) of the portion initially lighted which goes dark after 2 hours?

Assume that $$\pi=\frac{22}{7}$$

Ashok is travelling from Hyderabad to Chennai which is a 710 km journey. In the first 'x' hours, he travels some distance with a speed of 60 km/hr and some distance with a speed of 45 km/hr. In the next 'x' hours, he travels at a speed of 50 Km/hr and covers the remaining distance. If he covers equal distance with 60 km/hr and 45 km/hr, what is the total travel time(in hours)?

ABCD is a rectangle, in which AC = 20 cm. A perpendicular AE is drawn to BD, such that BE = 16 cm. Find the area of ABCD.

If $$T_r$$ denotes the ratio of the time taken by a boat to travel a certain distance upstream to the time taken by the same boat to travel the distance downstream, and $$T_r$$ is 2, what is the value of the $$T_r$$ if the speed of the stream reduces by one-third?

A square ABCD is inscribed in the circle with center O as shown in the figure. EFGH is another square inscribed in the semicircle with diameter XY. If the radius of the circle is 2cm, then what is the area of the shaded region ?

If an article is sold at a discount of p/2%, a profit of p/2% is realized. But if it is sold at a discount of p%, a loss of p/4% is incurred. If it is known that p is positive, then find the percentage of profit made on the article when it is sold at the discount of p/4%.

In the following figure, $$AR:BA = CQ:AC = 1:3$$ while $$PB:CP = 2:5$$. What is the ratio of the area of $$\triangle\ ABC$$ to $$\triangle\ PQR$$?

Vansh and Amrit started a business together where Vansh was the active member and Amrit was just an investor or passive partner. Vansh invested Rs 10 lacs in the business while Amrit, who joined the business 3 months later, invested Rs 20 lacs. Since Vansh was the active member, he also drew a salary of Rs 25000 every month. At the end of the year, they made Rs 5 lac as profit. What was the ratio of Vansh’s share to that of Amrit? (Note: Profits are distributed after the salary is accounted for)

If  $$S_n=\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+\frac{1}{4\sqrt{3}+3\sqrt{4}}+\frac{1}{5\sqrt{4}+4\sqrt{5}}+\frac{1}{6\sqrt{5}+5\sqrt{6}}+...$$ to n terms, then what is the value of $$5\times\ S_{24}$$?

Mr Ramlal wants to invest Rs. 100000 among bank deposit (BD), fixed deposit (FD) and mutual funds (MF) for a time period of one year. The interest rates offered by these three schemes are 6%, 10% and 8%, respectively. In which of the following ratio should Mr Ramlal invest his money in BD, FD and MF, respectively, to get the maximum returns?

A function $$f(x)$$ is defined as 

$$f(x) = \begin{cases}\frac{1}{(x)(x+2)} & \text{x is an odd integer}\\\frac{1}{(x+1)(x-1)} & \text{x is an even integer}\end{cases}$$

then find out the value of $$\sum_{i = 1}^{10} f(i)$$ ? 

Four chess players, A, B, C and D, formed a chess team. The ratio of A's age to B's age is 11:7, and the ratio of C's age to D's age is 13:9. The average age of the team is 34.5 years. Later, three members older than 10 years joined the team, and the new average age of the team is 27 years. If the ages of all the three new members are distinct prime numbers, then find the maximum age difference between any two team members. (Consider all the ages are integers)

If y is a real number, what is the difference in the maximum and minimum values obtained by $$\frac{y+5}{y^2+5y+25}$$ ?

If X and Y are two integers such that X+Y = 31, which of the following can't be the value of X*Y?

At how many distinct points (where X >= 0) do the two curves given below intersect?

$$Y=3X^3+4X^2-2X-2$$
$$Y=4X^2+X-2$$