Quantitative Ap...

The average weight of boys in a class is 40 kg and that of girls is 60 kg. The average weight of the entire class is 45 kg. 8 new boys joined the class and their average weight is 80 kg. After the addition of these 8 boys, the average weight of the class increased by 7. What is the initial number of boys and girls in the class respectively?

$$\log_{8}{\dfrac{8}{x^2}} = 3 (\log_{8}{x})^2$$
How many values of '$$x$$' are possible?

Find the sum of the series $$ 1 + \frac{2}{5} + \frac{4}{5^2} + \frac{7}{5^3} + \frac{11}{5^4} $$.....

The compound interest offered on a sum of Rs 5000 is 8% pa calculated on a half-yearly basis for a period of 3 years. The borrower repays Rs 1000 at the end of the first year and at the end of the second year. What is the amount that has to be paid at the end of the third year so as to clear all dues?

For how many integral values of y is $$\frac{y^2+12y+32}{y^2+12y+24}$$ a prime number?

A quadrilateral with sides 10cm, 6cm, 8cm, 12cm is drawn inside a circle of radius 15 cm such that the circle circumscribes the quadrilateral. What is the area of the quadrilateral in $$cm^2$$?

A kangaroo is x m away from a cave. In a forward jump, it covers 5 m, but it rolls back 1m to take another jump. When the kangaroo had jumped 15th time it exactly reached the cave, what is the value of x?

Find the number of the integer coordinate points in the region 4x+5y<100 and 2x+3y>30 where $$x \geq 0$$ and $$y \geq 0$$.

On a chess board, all the possible rectangles which are not squares are selected. Find the probability that the rectangle selected has an area of 18 square units with one side as 6 units.

Ramya is 4 times as efficient as Raju and Ranvijay is 20% more efficient than Ramya. If together, they can complete the work in 7 days, how many days will it take Ranvijay and Raju if they work alternatively (starting with Raju)?

How many numbers between 1000 and 1 million ( both excluded ) can be formed using 0,1 and 5?

If $$y^{2} > 1$$, and a = -|x|*y, then which of the following is definitely true?

ABCDEFGH is a regular octagon. Find the ratio of area of quadrilateral BCDG to the area of octagon.(tan22.5=$$\sqrt{\ 2}-1$$)

PQR is an isosceles right angled triangle at angle Q. The altitude from Q on PR meets PR at C and is extended till point A. A line drawn from A which is parallel to PQ passes through R and a line drawn from A parallel to QR passes through P. Find the ratio of the perimeter of triangle PQC to the perimeter of the square ABCD.

A shopkeeper buys 80 oranges. 20% of the oranges get spoiled during transportation. Of the remaining oranges, he sells 12.5% of the oranges at a loss of 20%. What must be the mark up percentage (approximate) on the remaining oranges if the shopkeeper wants to break even (no profit or loss)?

Two people A and B start reading a 1000 page document. A starts reading the document from the first page and goes forward, reading at a speed of 10 pages per hour. B starts reading from the last page and goes backward, reading at a speed of 5 pages per hour. On which page will the two people meet?

Amit and Suresh had marbles in the ratio 7: 16. Then, Suresh gave some of his marbles to Amit. As a result, the ratio of the marbles with Suresh and Amit became 4:9. Let “A” be the fraction of marbles transferred by Suresh to Amit, and “B” be the ratio of total number marbles with Amit (after receiving new ones) to the number of marbles received by him. Find the ratio of A:B.

S = ( $$4^{82}$$ - $$3^{82}$$ )/( $$4^{81}$$ - $$3^{81}$$ ). Then

There are 4 stations in between A and B. A train starts travelling from A towards B at 30kmph. It does not stop at any intermediate station and takes one hour to complete the journey. During the return journey, if the train has to stop at each of the intermediate stations for 3 min each, what is the speed with which it travels during the return journey so that the average train speed for the whole journey (from A to B and B to A) is 40 kmph?

Abhishek plans to buy a fridge, AC and TV for his new house. He goes to a well-known nearby shop and finalises the purchase after deciding on a discount of 10%, 20% and 25% on the stated price of the fridge, AC and TV respectively. The shop owner however mishears the rates and interchanges the discounts offered on the fridge and the TV. When compared to the actual amount Abhishek was supposed to pay, what percentage (rounded up to the nearest integer) did he pay extra, given that the combined price of the fridge and AC was equal to the price of the TV, and that the AC cost 50% more than the fridge?[enter -1 if the answer cannot be determined]

Two circles touch each other at M.Two tangents are drawn to the circles such that none of which passes through M. It is known that the tangents meet at P and they touch the larger circle at Q and L respectively. The radius of the larger circle is 24cm and PQ=32cm. A line is drawn from P such that it intersects smaller circle at D and E (such that PE > PD) respectively. If PD=5cm and DE=x cm. Find the value of 5x.

If a Jar A contains water and juice in the ratio 2: 3 with a total volume of 1 litre which is completely filled and Jar B which is of 2 litres and completely filled has water and juice in the ratio 3 : 4. If A and B are completely completely poured in Jar C and 1 litre of this solution is taken and mixed in a Jar of volume 1 litre which contains water and juice in the ratio 1: 4. What is the ratio of water and juice in the final mixture ?