[Official] Quant Thread for 2015!

Please explain the meaning of the part in bold text.

Hursh Sharma has a salary of Rs. 10,800 per month. In the first month of the year he spends 40% of his income on food, 50% on clothing and saves 11.11% of what he has spent. In the next two months, he saves 9.09% of what he has spent (spending 38.33% of his income on food). In the fourth month, he gets an increment of 11.11% on his salary and spends every single paisa on celebrating his raise. But from the fifth month onward good sense prevails on him and he saves 12.5%, 15%, 20%, 10%, 8.33%, 12.5%, 15% and 20% of his new income per month. The ratio b/w the sum of the savings for the two months having the highest savings to the sum of the savings for the two months having the lowest savings is

Getting stuck because of the part of the question in bold text.

The number of votes not cast for Pappu's party increased by 33 1/3% over those not cast for it in the Farrukhabad city constituency where the only other candidate belongs/belonged to Jhussu Party. If a total of 4,50,000 people voted each time and Pappu's party loses by a majority one-third times as large as that by which it had one in the last polls, how many people voted for Pappu's party in the current polls?

Please comment with an approach to solving this one.

A state's GDP during 2011-12 grew by a healthy 6.3%. During the same period service sector growth was 7.0%. Average growth for agricultural, manufacturing and service sector (excluding ITES and IT) was 5.8%. If weightage given to agricultural sector is 25%, to manufacturing sector 42% and to service sector as a whole 33% (IT sector 13% and ITES 9%), then what is the approx. growth rate for service sector (excluding ITES and IT).

Need your help with a small 8 question survey : 

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Need your help with a small 8 question survey : 

https://docs.google.com/forms/d/1vg0NWDTeNSIu2jbbVsl7JBuNiYRRepNYWPMM_mvZ9q0/viewform

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what is the remainder when 10^1283 is divided by 514?

N=127127......(a total of 202 digits).find the remainder when N is divided by 143?

PnC question

Answer the following questions on the basis of the info given below

There are 5 different boxes B1, B2, B3, B4, B5 and 5 different hats H1, H2, H3, H4, H5. The hats are to be distributed among different boxes..

each box can accommodate all hats.

a. If another hat H6 is also there, such that H6 has a different colour in comparison to all the other hats, in how many ways can you arrange the hats such that all the boxes have only one hat??

b. If the hat H6 has same colour as H5, how many arrangements are there??

c. If it is known that hat H6 has the same color as one of the other 5 hats , how many arrangements are possible


PnC question

Answer the following questions on the basis of the info given below

There are 5 different boxes B1, B2, B3, B4, B5 and 5 different hats H1, H2, H3, H4, H5. The hats are to be distributed among different boxes..

each box can accommodate all hats.

In how many arrangements does B3 have hat H3


There are 5 different boxes B1, B2, B3, B4, B5 and 5 different hats H1, H2, H3, H4, H5. The hats are to be distributed among different boxes..

each box can accommodate all hats.

If B1 and B2 have hats H1 and H2 among themselves, in how many ways can you arrange the hats among 5 boxes


There are 5 different boxes B1, B2, B3, B4, B5 and 5 different hats H1, H2, H3, H4, H5. The hats are to be distributed among different boxes..

each box can accommodate all hats.

a. If the hats have to be arranged such that any box can have a maximum of one hat only, in how many ways can you arrange the hats among the 5 boxes? (at least one hat has to be distributed)


PnC Question

In how many permutations of 10 things taken 4 at a time will one particular thing 

a. Always occur

b. Never occur

Using the digits 2,3,4,5,6 find the following

a. the sum of all 5 digit nos that can be formed such that no 2 digits are the same

b. the sum of all 4 digit nos that can be formed such that the digits can be repeated

A survey was conducted on a car brand Khatara . It was found that 60% of vehicles had a problem with their engines , 60% of vehicles had a problem with their doors and 50% with tyres and 20% had no problem.. what is the min and max percentage of vehicles that have had all problems??

What is the sum of all 5 digit nos. formed using digits 0,2,3,4,5 (repetition allowed) ?

in how many ways 8 ppl be seated in around a isosceles triangle having 3 chairs on equal sides and 2 chairs on the third side?

How is B related to A, if it is known that A's father's wife's father is B's father?

In our coaching institute there are total 170 students and they use different vehicles for transportation viz. bike, car and taxi.

The ratio of students using all 3 vehicles to students using atleast 2 vehicles is 2:9. The ratio of students using only one vehicle to students using atleast 2 vehicles is 8:9.

Number of students using car only exceeds number of students using bike only by 14.

Number of students using taxi only exceeds number of students using bike only by 12. 

Number of students using taxi, bike, car is 90, 93, 97 resp. 

Number of students using all three vehicle is?

Find the nth term

1, 5/4, 21/16, ...

a) {1- (1/4)^n} / (3/4)

b) {1 + (1/3)^n} / (2/3)^n

c){ (1/3)^n + 1} / (2/3)

d) None of these