[Official] Quant Thread for 2015!

Guys please explain..

How are the time 6 high quality additional test?


Q. 3.

In how many ways is it possible to choose a white square and a black square on a chessboard so that the squares must not lie in the same row or column?
[2002]

a.    56                            b.    896 c.    60 d.    768

You have Eight sticks, lengths 1,2,3,4,5,6,7,8 meter, how many triangles can you make ?

find x2-6x if (x2-1/√x -x)+(√x +1/√x)+20=0 .

N is a 4 digit even number, if any of the digit of N, except its left most digit ,is 7, the preceding digit is 9, how many values can N take?

1 - 1/6 + 1/6*1/4 - 1/6*1/4*5/18 + .....

Find the sum ?

A) 2/3  B) 2/root3 C) root(2/3) D) root3 / 2

Find the remainder when 6^65^56 is divided by 43? 

Anyone knows any method to solve such question with minimum time. Thanks in advance .Please help  

when the number N is written in base b,its representation is the two digit numerical PQ,where P= b-2 and Q=1. Find the representation of N in base b-1.

Mandeep has to create a password having 5 distinct characters using at least 2 digits (from 7 to 9) and at least 2 English vowels (from A, E, I, O and U). No character other than digits from 7 to 9 and vowels of English alphabets are allowed in that password. If the password starts with a digit, then it must end with an alphabet and if it starts with an alphabet, then it must end with a digit. Find the number of possible passwords that Mandeep can create.

a.    1260 b.    4480 c.    3620 d.    2880           approach pls?

Two friends, Turbo and Black Shadow, simultaneously left two places A and B respectively. Turbo left from A, for B, and Black Shadow left from B, for A. However, every time that either of them arrives at his destination, he immediately turns back to reach his starting point and then keeps on travelling in that manner between A and B. If the distance between A and B is 7 km and the speeds of Turbo and Black Shadow are 70 kmph and 20 kmph respectively, how many times do they meet in the first seven hours after they start? 

Three runners, P, Q and R, run around a circular track, of length ℓ m, at speeds of 2 m/s, 6 m/s and 8 m/s respectively. If all three of them start at the same time and run in the same direction, at how many distinct points on the track would any two runners (but not all three) meet?a)2 b)3c)4 d)5


How many numbers less than 1000 leave a remainder of 4 when divided by both 5 and 11?

A circle of radius 2 cm, is drawn on a graph paper. Distance between consecutive lines on the graph is 1cm. What is the maximum area of the circle that we can get by counting on the full unit squares that fall within it? Approach?

Can anyone please upload the latest ims500 pdf.

how many digits are required to number a book containing 200 pages???

a> 200

b>600

c>492 

d>372

how many numbers below 100 can be expressed as a difference of two perfect square in only one way???

In a triangle ABC points D and E are on the sides AB and AC such that AD:DC = 1:2 and AE:EC = 3:4. If area of the triangle ABC is 21 units and F is the intersection point of BE and CD then what is the absolute difference between the area of the polygons ADFE and BFC?

Three paper slips are numbered 1, 2, 3 and placed in a bag. A slip is chosen, its number recorded, and then placed back in the bag. This process is repeated two more times. The resulting 3 recorded numbers are added. Anil walks in the room after the three numbers have been recorded and is told only that the sum of the numbers is 6. Anil announces, "Oh, then they must all have been 2's." What is the probability that Anil is correct?

Find S

S= 9/7 * 28/26 * 65/63 * 126/124*............................infinity