[Official] Quant Thread for 2015!

How to find the sum to n terms of 1/2 + 1/4 + 1/6 + 1/8 ...... i.e sigma 1/2n ?

How many 3 digit numbers have at least one 6 and at least one 7?

Find the maximum number of regions in which a plane ABCD can be divided by 21 straight lines?

http://i.imgur.com/NjGVoUM.png

Explanation please. Is there a better way ??

P and Q are twanceo points on a 1 km long circular track. The distance PQ along the track is 200m. Rohan started running from P. Sohan started simultaneously in the same direction for Q. Both reached P for the first time simultaneously. If both started simultaneously from P in opposite direction they would take 1000 by 9 seconds to meet for the first time. Find their respective speeds.

P and Q are two points on a 1 km long circular track. The distance PQ along the track is 200m. Rohan started running from P. Sohan started simultaneously in the same direction for Q. Both reached P for the first time simultaneously. If both started simultaneously from P in opposite direction they would take 1000 by 9 seconds to meet for the first time. Find their respective speeds.

kindly guide why would Rohan and sohan speed be 1000: 1000-200 ie 5:4

in how many ways can 83 be expressed as a sum of 2 coprimes??

Milk and water are mixed in a vessel X in ratio 4:1 and in vessel B in the ratio 5:2. Find what quantities should be taken from both the vessels to have a mixture containing 7 kg milk and 2 kg water.  @Going_High @sagarcat @lannister_tyrian 

How many terms are there in the expression (1 + x^2 + x^4)^10 when it is expanded?

^please provide explanation.

Viru and dhoni are running in a race if there speed is in the ratio 5:3 respectively and total distance traveled by them in one round is .5 km . Find the distance traveled by viru when he passes dhoni for the sixth time

In how many ways can five integers be selected out of the first 30 natural numbers so that their product ends with five?

Remained when 97! is divided by 101 ?

OA-17

If in a class of 500 students, no. of students who get >90% in subjects A,B,C,D,E,F are 500,400,300,400,400 and 400 respectively.

1) A maximum of how many students got >90% in atleast 5 out 6 subjects?

2) At least how many got >90% in atleast 4 subjects?

Anyone?

Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is  at least

1. 5

2. 103

3. 6

4. Cannot be determined.

Among 4 drinks  Coke, Limca, Fanta and Sprite

The number of people who like only Limca is twice the number of people who like Coke, Limca and Sprite.

Does this mean number of people who like

only Limca = 2*(people who like coke + limca+sprite ONLY excluding Fanta)

Friends any one received you IIFT exam hall ticket?. I have not yet received.....!

If (30!+31! +32!+33!+...................99!) WHEN DIVIDED BY 4^n LEAVES A NON ZERO REMAINDER WHAT IS LEAST VALUE OF n? .......WITH APPROACH

Remainder of 25^10 when divided by 576? Except Binomial, any other approach?

if the first 4985 natural numbers are put side by side to get a big number 1234...........4985, which digit will be exactly in the middle ? Shorter way to do this ?

A can complete a work in 20 days. B can complete the same work in 30 days while C can do the same task in 60 days. They start together. A leaves after 3 days and B leaves 4 days before the work was originally scheduled to be completed. For how many days did C work?

Please explain the solution. Thanks in advance.