XAT-2016 (OFFICIAL)

A number n has 48 factors. Find the maximum number of ways n can be expressed as a product of two co-primes.

a) 12

b) 16

c) 20

d) 24

e) None of these

There is a two-digit number, which is equal to the sum of the squares of its digits. What is the sum of the
digits of that number?
(1) 7

(2) 5

(3) 6
(4) 8

(5) Such a number is not possible


Q)f(x) is a 6 degree term with coefficient of x^6 equal to 1.
f(1)=7.
f(2)=10
f(3)=13
f(4)=16
f(5)=19
f(6)=???

iska approach kaise?  OA nahin h 

structure kya hoga f(x)  ka?


The content development team was working at a uniform rate to develop 2500 questions in ten weeks.
But after working for six weeks, the content development team was informed by the management that
the remaining questions had to be developed in one week. By what percentage does the team need to
increase its rate of development of questions so that it can complete developing the remaining questions
in one week?
(1) 100%

(2) 250%

(3) 300%

(4) 400%

(5) 500%

## pipes##


Three pipes of varying diameters can fill the vessels 0f 1,2,3L in 4,18,48 min respectively. what is the ratio of their diameters??(assume speed of flow to b constant) /

## maxima_minima##

Find the minimum value of h^2+k^2. Where 3h-4k+45=0

Find (x+y)
where x^4+y^4=4721
(a)13,

(b)17,

(c)21,

(d)25,

(e)None

Arrange the sentences A, B, C and D to form a logical sequence
between sentences 1 and 6.


1. Earths lunar satellite, the moon, is an alien and remote though still compelling landscape known to us all.
A. The beauty of such a moment is hard to explain; its as if beauty were not actually in the thing itself but lay instead with the viewers capacity to appreciate that object.
B. But unearthly beautiful all the same.
C. On a clear night, with a pair of ten-power binoculars, the craters and highlands, the depressions and seas, appear so vividly etched, the pattern of their shadow and light so captivating, that the geography can induce a sensation of joy.
D. We imagine it from our front lawns and our apartment windows as a place of absence. No wind, nor any blade of grass for a breeze to stir, no people, no cascading brook or animal track.
6. When a portion of the moon resolves itself sharply through the binoculars prisms, when it comes alive to a viewers eyes, he or she can experience a kind of euphoria, which the moon alone cannot explain.

(1) DBAC (2) CADB (3) DBCA (4) DCBA

1. FitzGerald was a rich dilettante, whose Anglo-Irish mothers fortune from Irish rents was so large that her husband had changed his name to hers.
A. Though FitzGerald did not join in the imperial venture and indeed hardly left England his translations from Persian and other languages depended on the web of contacts the empire established, and thrived on the knowledge gained from its commercial and political ambitions.
B. As Edward Said pointed out, such interests directed scholarship, however detached the scholars themselves from the profits of imperialism.
C. Archaeologists, linguists, scientists and geographers moved along with the armies of soldiers and civil servants as the British and the French entrenched their rule in the Middle East.
D. FitzGerald, who temperamentally shrank from power and the powerful, played no direct part in this, and often expressed his unease at British ambitions abroad.
6. But when, in 1856, he was first shown Omar Khayyms poetry and began working on his Persian in order to translate it, he responded so intensely to its themes because they invoked a dream world - a place very far from England.

(1) ABCD (2) ADCB (3) CDBA (4) ABDC

  try this!

How many four digit perfect squares are there such that if each of the digit is increased by 1, still the number remains a perfect square?

 

p+q+r+s+t=8
p^2+q^2+r^2+s^2+t^2=16 

Find the maximum possible value of p.

  solutions 


Find the non neg integer solutions (a,b)
(a+b)^2=1+2(ab)^2

Please suggest mocks for XAT 2016.


A supervisor of a packaging unit of a milk plant is being pressurized to finish the job closer to the distribution time, thus giving the production staff more leeway to cater to last minute demand. He has the option of running the unit at normal speed or at 110% of normal speed. He estimates  that he will be able to run at higher speed 60% of time. The packet is twice as likely to damage at higher speed which would mean temporarily stopping the process. If a packet on a randomly selected packaging  runs has probability of 0.112 of damage, What is the probability that the packet will not be damaged at normal speed ?

  • 0.6
  • none of these
  • 0.81
  • 0.75
  • 0.93

0 voters

 Despite the Congress ________ in the euphoria of victory, the BJP fulfilled its responsibilities as a robust but responsible opposition, questioning the Manmohan Singh government at every stage and attacking it ________ on foreign policy blunders.

(1) celebrating, sheepishly

(2) wallowing, spiritedly

(3) basking, stealthily

(4) rejoicing, fanatically

P.S- I don't have OAs for these questions,but OA can be discussed.

 

  • 4
  • 1
  • 2
  • 3

0 voters

Biologists are convinced that animals survive through learning, but learning that is ___________ their genetic coding, learning as thoroughly ___________ as the most instinctive of behavioural responses.

(1) subsumed by, primitive

(2) complimentary to, transient

(3) compatible with, familiar

(4) dictated by, stereotyped

  • 1
  • 4
  • 3
  • 2

0 voters

An intelligence agency decides on a code of 2 digits selected from 0,1,2...9.But the slip on which the code is written allows confusion between top and bottom,because these are indistinguisable.Thus,for example,the code 91 could be confused with 16.How many codes are there such that there is no possibility of any confusion?

##interest ##


Mr X,a very industrious person ,wants to establish his own unit.For this he needs an instant loan of Rs 5,00,000 and,every five years he requires an additional loan of Rs. 100,000.If he had to clear all his outstandings in 20 yrs,and he repays the principal of the first loan equally over the 20 yrs,find what amount he would have to pay as interest on his initial borrowing if the rate of interest is 10% p.a. simple interest ??

# numbers@

Q. There is a natural no that becomes equal 2 square of natural no wen 100 iz added 2 it.& sq of another no whn 169 is added to it.Find no?

##revision#

Puys, Try this...If K = 2^31* 3^19, then how many positive divisors of K^2 are less then K but do not divide K?1)1228

2)1028

3)639

4)589

5)1024