XAT-2016 (OFFICIAL)

15^46 + 12^46 - 2^46 -1 is divisible by 81 or 27 or 9 or 3 ??


. Sangeeta and Swati bought two wristwatches from Jamshedpur Electronics at 11.40 A.M. IST. 
After purchasing they found that when 60 minutes elapses on a correct clock (IST), Sangeetas 
wristwatch registers 62 minutes whereas Swatis wristwatch registers 56 minutes. Later in the 
day Sangeetas wristwatch reads 10 P.M., then the time on Swatis wristwatch is: 
A. 8:40 PM 
B. 9:00 PM 
C. 9:20 PM 
D. 9:40 PM 
E. Cannot be calculated

x and y are positive integers
5^x - 5^y =(2^y-1)(5^x-1)
what is the value of xy?

ps:on rhs y-1 and x-1 are in power

##fibo##

 The difference betn squares of 6th and 7th terms of fibonacii series is 517 , find the 8th term ?

A salesman sells two kinds of trousers: cotton and woolen. A pair of cotton trousers is sold at 30% profit and a pair of woolen trousers is sold at 50% profit. The salesman has calculated that if he sells 100% more woolen trousers than cotton trousers, his overall profit will be 45%. However, he ends up selling 50% more cotton trousers than woolen trousers. What will be his overall profit?

(a) 37.5% (b) 40% (c) 41% (d) 42.33% (e) NOTA

# ##copied ##found it worth sharing  

An interesting Question:

If a, b, c, d are integers, then find number of all quadruplets (a, b, c, d) such that a*b*c*d = 1050.

Note:- a, b, c, d can be negative also.



1050=5^2 * 7 * 3 * 2*1 = 5*5*7*3*2*1

we have a product of six numbers.
FOr the entire product to be positive:
1)all six are positive=1 way
2)two of the six are negative.6c2=15 ways
3)four of six are negative=6c4=15 ways
4) all 6 negative=1 way

so in all 32 cases are possible.

Now again,

consider only the product of 5*5*7*3*2

4 numbers can be selected from this set of 5 in 5 ways.

the remaining number can be put in any of the four boxes in four ways.

so making it 5*4=20 ways

so total possible set of four numbers = 20*32= 640....

Again, if the set of four numbers has something like 5,5,x,y
the number of ways the fifth number can be distributed is only 3!(Putting in any box of 5 is the same)...We have not taken this into account.

So from the total reduce this factor.

SO total ways =640-3=637

Hey Puys! how are you all preparing for decision making?? Anyone subscribed to any course?

Rajesh walks to and fro to a shopping mall. He spends 30 minutes shopping. If he walks at speed of 10km an hour, he returns to home at 19:00 hours. If he walks at 15 km an hour, he returns to home at 18.30 hours. How fast must he walk in order to return home at 18.15 hours?

(a) 17 km/hour

(b) 17.5km/hour

(c) 18 km/hour

(d) 19 km/hour

(e) None of the above.


A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom’s schedule: Jamaica will not be its destination in week 4. Trinidad will be its destination in week 7. Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages. Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica. No destination will be scheduled for consecutive weeks.


If Freedom makes a voyage to Trinidad in week 5, which one of the following could be true?

  • Freedom makes a voyage to Jamaica in week 6.
  • Freedom makes a voyage to Trinidad in week 1.
  • Freedom makes a voyage to Martinique in week 2.
  • Freedom makes a voyage to Guadeloupe in week 3.
  • Freedom makes a voyage to Martinique in week 4.

0 voters


A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom’s schedule: Jamaica will not be its destination in week 4. Trinidad will be its destination in week 7. Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages. Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica. No destination will be scheduled for consecutive weeks.


If Freedom makes a voyage to Guadeloupe in week 1 and a voyage to Jamaica in week 5, which one of the following must be true?

  • Freedom makes a voyage to Martinique in week 6.
  • Freedom makes a voyage to Jamaica in week 2.
  • Freedom makes a voyage to Trinidad in week 2.
  • Freedom makes a voyage to Martinique in week 3.
  • Freedom makes a voyage to Guadeloupe in week 6.

0 voters

find number of distinct rectangles having integral sides that are possible such that perimeter is an integer less than 100

Find the length of in-center of a triangle having co-ordinates (0,0) , (12,15) , (11,19) ?

Which test series will be best for XAT prep ?

7 people avg. age is 30. Age of youngest is 7. Find avg. age of the people when the young person was born ?

26.833 or 23 ?(these r not options)

#CR

Economist: Every business strives to increase its productivity, for this increases profits for the owners and the likelihood that the business will survive. But not all efforts to increase productivity are beneficial to the business as a whole. Often, attempts to increase productivity decrease the number of employees, which clearly harms the dismissed employees as well as the sense of security of the retained employees.

Which one of the following most accurately expresses the main conclusion of the economist’s argument?

  • If an action taken to secure the survival of a business fails to enhance the welfare of the business’s employees, that action cannot be good for the business as a whole.
  • Decreasing the number of employees in a business undermines the sense of security of retained employees
  • There is no business that does not make efforts to increase its productivity.
  • Only if the employees of a business are also its owners will the interests of the employees and owners coincide, enabling measures that will be beneficial to the business as a whole.
  • Some measures taken by a business to increase productivity fail to be beneficial to the business as a whole

0 voters

#CR

All Labrador retrievers bark a great deal. All Saint Bernards bark infrequently. Each of Rosa’s dogs is a cross between a Labrador retriever and a Saint Bernard. Therefore, Rosa’s dogs are moderate barkers.

Which one of the following uses flawed reasoning that most closely resembles the flawed reasoning used in the argument above?

  • All transcriptionists know shorthand. All engineers know calculus. Bob has worked both as a transcriptionist and as an engineer. Therefore, Bob knows both shorthand and calculus
  • All students who study diligently make good grades. But some students who do not study diligently also make good grades. Jane studies somewhat diligently. Therefore, Jane makes somewhat good grades.
  • All type A chemicals are extremely toxic to human beings. All type B chemicals are nontoxic to human beings. This household cleaner is a mixture of a type A chemical and a type B chemical. Therefore, this household cleaner is moderately toxic.
  • All students at Hanson School live in Green County. All students at Edwards School live in Winn County. Members of the Perry family attend both Hanson and Edwards. Therefore, some members of the Perry family live in Green County and some live in Winn County.
  • All of Kenisha’s dresses are very well made. All of Connie’s dresses are very badly made. Half of the dresses in this closet are very well made, and half of them are very badly made. Therefore, half of the dresses in this closet are Kenisha’s and half of them are Connie’s.

0 voters

Any new pattern mocks which are already available in market?

DM 4#

During his time as a product manager on Apple's PowerBook team, Anthony Simmons along with his team was gearing up to launch a new product. As part of testing, he had found that a very small sample size was flawed and could be harmful. He was under tremendous pressure to make a decision on whether or not to hold off bringing the product to market. And there were good arguments on both sides. On the one hand, the defected sample size was small and not statistically significant, and millions of dollars would be lost by holding off shipment. On the other hand, Simmons believed the long-term impact risk was high.

In such a situation, Simmons can maintain the customer base and uphold the reputation of the company by:

1. Delay the launch and hire a consultant to look into the matter.
2. Launch the product and make a public announcement about the shortcoming so that clients can get their products checked at the after-sales centres. On checking, the defective products can be taken back.
3. Go ahead with the launch and hope the customers don’t notice the flaw.
4. Take a long-term perspective and delay the launch of the product.

  • c
  • d
  • a
  • b

0 voters

Guys can you suggest me some good book hich I can refer for preparation of XAT 2016 mainly Decision making 

Thanks in advance :) 

54321 + k = N^2, Find the minimum value of N and K ?