Friday 20 November 2015

OA - VA 01 - 20th NOV

2
5
3
1
4




3
1
5
4
2



4
1
2
6
3
5


3
1
4
2



4
2
1
3


4
2
3
OMO 1



1
4
2
OMO 3


3
4
1
OMO 2






EXPROPRIATE

Attempts to expropriate lands from landlords having more lands than
prescribed under the ceiling Act have not been very successful.
a)
usurp
b)
seize
c)
misappropriate
d)
withdraw


B


SPLEEN

You may be annoyed with me but it doesn't mean that you vent your spleen on me.
a)
discomfort
b)
reproach
c)
brawn
d)
spite

D




The attack on Godi was the first time scientists witnessed a group of
chimps raiding (a)/ raging (b) another territory and attacking a
member of a rival band for arguably (a)/ apparently (b) no reason than
that he belonged to a different group.



It was also the start of a process through which the Kaskela chimps
effectively (a) / evidently (b) wiped out the Khama.



The killings are a terrible illustration of the evolutionary roots of
humanity's preponderance (a) / propensity (b) for violence.



The killings undermine (a) / underscore (b) the explanations for
extreme violence in terms of such uniquely human attributes as
culture, brain power.
a)
aabba
b)
abbab
c)
ababa
d)
baaba


C

It is still a fairly astounding notion to consider that atoms are
mostly empty space, and that the stolidity (a) / solidity (b) we
experience all around us is an illusion.



When two objects come together in the real world, they don't actually
strike each other; rather the negatively charged fields repeal (a)/
repel (b) each other.



Were it not for their electrical charges, they could like galaxies,
pass right through each other unscathed (a) / unspoilt (b).



When you sit in a chair, you are not actually sitting there but
levitating (a) / lingering (b) above it at a height of one angstram,
your electrons, and its electrons implacably opposed to any closer
intimacy (a) / intricacy (b).
a)
baaab
b)
bbaaa
c)
ababa
d)
aabbb

B


The unpredictable, volatile rulers forced the viceroy to contend (a) /
contemplate (b) the nightmare that had haunted India for centuries.



If India's politicians could divide her, her princes could detract (a)
/ destroy (b) her.

They menaced (a) / endangered (b) the subcontinent, not with partition
but with a fatal fragmentation into a score of states.



They threatened to unleash (a) / unload (b) abruptly all the
fissiparous tendencies of race, religion, region and language which
lurked (a) / lured (b) just below the fragile surface of Indian unity.
a)
aaaaa
b)
bbbbb
c)
abbba
d)
bbaaa

D


The amazing expansion (a) / extension (b) of Indian culture and art to
other countries has led to some of the finest expressions of this art
being found outside India.



To know Indian art in India alone is to know but half its story. To
appreciate (a) / apprehend (b) it to the full, we must follow it in
the wake of Buddhism, to central Asia, China and Japan; we must watch
it assuming (a) / morphing (b) new forms and breaking into new
beauties as it spreads over Tibet and Burma and Siam; we must gaze in
awe at the unabated (a) / unexampled (b) grandeur of its creation in
Combodia and Java.



In each of these countries, Indian art empowers (a) / encounters (b) a
different racial genius, a different local environment and under their
modifying influence it takes on a different garb.
a)
aaabb
b)
abbaa
c)
aabba
d)
baaab

A

Not only is much of India's economic success not reaching many of its
poor citizens but its political _____ at home and abroad seem to make
very little difference to their ______ lives.
a)
successes… embittered
b)
advancements … bettered
c)
aspirations … battered
d)
turmoils … abject

C



While there is _______ at India's desire to reinvest in the bilateral
and strategic relationship, Paris is worried that New Delhi's
rapprochement with Washington could ________ its own importance.
a)
dismay . . . belittle
b)
elation . . . diminish
c)
consternation . . . undermine
d)

B



Considering the fact that early childhood nutritional _______ set
limits to the quality of health in adulthood, it is _______ to imagine
the bleak future from the fact that though India accounts for only
about 20 per cent of the world's child population, it ends up with 40
per cent of the malnourished children of the world.
a)
defects . . . dreadful
b)
deformities . . . disgusting
c)
inadequacies . . . difficult
d)
deficiencies . . . disquieting

D



EASY
a)
Instilling civic sense in people is easy said than done.
b)
Doctors asked him to take things easy after the heart attack.
c)
It is not as easy to practise as it is to preach.
d)
Life is not easy for anyone – rich or poor.

A

The manner in which Wodehouse deals with his (11) plots reveals his
supremacy as the greatest English humorist.


laughter
b)
pathos
c)
apathy
d)
jocundity

A

Tuesday 10 November 2015

OA - VA 01 - NOV 11

1 - 1

2 - 2

3 - 4

4 - 3

5- 3

6 -1

7 - 3

8 -2


9 -4


10 - 3

11 - 2

12 - 3

13 - 4 2 3 5 1

14 - 34152

15 - D

15 A

17 C

OA - VA01 NOV 10

1


Sentences [1], [3] and [4] all talk about eating habits of the felids:
[4] introduces the felids and their carnivorous habits; [1] states how
extreme this habit
is; and [3] compares them to other mammals in terms of
carnivorousness. Only [2] does not fit into this sequence, as it
merely provides information
about which animals make up the felid family, and does not mention
their eating habits at all. Hence, [2].

2


Sentences [1], [2] and [4] discuss what virtue is and when one can be
said to have lived a virtuous life. [4] and [2] give Socrates' and
Plato's views on
virtue, respectively.[1] continues on the same theme. [3], on the
other hand, does not involve a definition of virtue, but simply a
contrast between
Socrates' beliefs about his own virtue and ignorance. So it does not
fit into the sequence. Hence, [3].


3

There is no suggestion in the paragraph that the author views
standardization of a language as 'futile', 'difficult' or
'undesirable'. Rather, he seems to
consider it a worthy and achievable goal. So [1] and [2] are
incorrect. His argument in this paragraph is that concentrating mainly
or only on vocabulary
is, however, not a good way to promote standardization, as contentious
words are encountered rarely. He concludes that it is better to focus
on
aspects of language that are more frequently encountered. Thus, his
assumption is that there are aspects of language other than vocabulary
that play
a bigger role in daily language usage (and that these are the aspects
that should be the focus of standardization efforts). So the correct
answer is [4].
Note that [3] is incorrect, as it still focuses on vocabulary, which
the author argues against. Hence, [4].

4

Statement B, which states the result of the studies mentioned in 1,
links to it. D links to B, as it continues the point about people's
memories of familiar
things. A, with 'for instance' gives an example of how people retain
certain aspects of things in their mind, and thus elaborates upon C.
Therefore, CA
is a link. A also links to 6, as they both provide examples of how
people are better at remembering certain aspects of familiar things
than others.
Therefore, the correct sequence is BDCA. Hence, [1].

5 - 41352

Monday 9 November 2015

OA - VA01 NOV 10

Sentences [1], [3] and [4] all talk about eating habits of the felids: [4] introduces the felids and their carnivorous habits; [1] states how extreme this habit
is; and [3] compares them to other mammals in terms of carnivorousness. Only [2] does not fit into this sequence, as it merely provides information
about which animals make up the felid family, and does not mention their eating habits at all. Hence, [2].

2


Sentences [1], [2] and [4] discuss what virtue is and when one can be said to have lived a virtuous life. [4] and [2] give Socrates' and Plato's views on
virtue, respectively.[1] continues on the same theme. [3], on the other hand, does not involve a definition of virtue, but simply a contrast between
Socrates' beliefs about his own virtue and ignorance. So it does not fit into the sequence. Hence, [3].


3

There is no suggestion in the paragraph that the author views standardization of a language as 'futile', 'difficult' or 'undesirable'. Rather, he seems to
consider it a worthy and achievable goal. So [1] and [2] are incorrect. His argument in this paragraph is that concentrating mainly or only on vocabulary
is, however, not a good way to promote standardization, as contentious words are encountered rarely. He concludes that it is better to focus on
aspects of language that are more frequently encountered. Thus, his assumption is that there are aspects of language other than vocabulary that play
a bigger role in daily language usage (and that these are the aspects that should be the focus of standardization efforts). So the correct answer is [4].
Note that [3] is incorrect, as it still focuses on vocabulary, which the author argues against. Hence, [4].

4

Statement B, which states the result of the studies mentioned in 1, links to it. D links to B, as it continues the point about people's memories of familiar
things. A, with 'for instance' gives an example of how people retain certain aspects of things in their mind, and thus elaborates upon C. Therefore, CA
is a link. A also links to 6, as they both provide examples of how people are better at remembering certain aspects of familiar things than others.
Therefore, the correct sequence is BDCA. Hence, [1].

5 - 41352



OA - RC 01 - NOV 10

55 - D

It is clearly stated in the fourth sentence of the second paragraph
that Western countries started welcoming skilled professionals from
the Global South or the East. Hence, their exclusionist immigration
policies gave way to an inclusive one. So, option (d) is the correct
answer.Option (a) is only partly correct because Western countries
certainly favoured skilled professionals but the passage is silent
about unskilled people.Option (b) is wrong. Refer to the third
sentence of the second paragraph where the author mentions that the
change in immigration policies is always dependent on a number of
socioeconomic and political factors that are further guided by power
relations. Option (c) is wrong as well because according to the fourth
sentence of the second paragraph, labour needs and not labour unrest
led to the change in immigration policies. "Labour needs" and "Labour
unrest" are not similar.
Correct Answer : d

56 - B

Refer to the last sentence of the first paragraph where the author
mentions that host countries often try to retain the students because
they consider the latter as "future skilled professionals". Option (a)
is incorrect because there is no mention of foreign exchange anywhere
in the passage. In the context of the passage, we are not sure about
the veracity of options (c) and (d). Hence, they cannot be deemed as
true.

57 - C

If we read the first two sentences of the second paragraph, we come to
know that some of those countries which demand skilled professionals,
are willing to confer citizenship. So, option (c) is the correct
answer. Option (a) is close because the passage starts by talking
about international students. However, according to the passage, when
international students become skilled professionals after completing
their studies, they are often granted citizenship. Refer to the last
sentence of the first paragraph. Option (b) is incorrect because there
is no mention of vocational subjects being prioritized for the purpose
of granting of citizenship on an individual. Option (d) is narrow in
scope. The author does mention that grant of citizenship is often
dependent on socio-economic and political factors. Refer to the third
sentence of the second paragraph. However, we are not sure whether by
socio-economic factors, the author refers to a disadvantaged
background.


58 - A
Refer to the fourth sentence of the third paragraph. The author
mentions that the Canadian government changed its immigration policies
because the global economy was led by research and development which
was further characterized by rapid entrepreneurial advancements in
STEM fields. Option (b) is incorrect. Refer to the last sentence of
the third paragraph. Although the passage states that the policy of
Canadian Experience Class was aimed to attract international students,
it had a rider. Only students with local Canadian experience would be
preferred. Hence, it is wrong to assume that the immigration policies
targeted international students from all over the world. Option (c) is
incorrect because the passage does not talk of educated young people
but of skilled people. Option (d) cannot be correct because the author
says that Canadian immigration policies were influenced by innovation
in Science, Technology and other STEM fields and not Social Sciences.

Window 3 Questions NMAT

WINDOW 3

Section 1 - QA

1. If x starts business with 3000 and y joins after 3 months with 36000, what would be their profit ratios (incomplete therefore assuming profit ratios as asked for the end of the year)
Ans:30000*12/36000*9 =1:9

2.5019 pages book. How many digits are required?
Ans:1 digit numbers: 9 2 digit: 90 3 digit: 900 4 digit: 4020
9*1+90*2+900*3+4020*4=18969

3.A dishonest dealer sells 960 g instead of 1kg. Find the error%
Ans:4

4.some pipe question?? Anyone remembers?
Ans.

5. (1/x!)+ (1/(x+3)!) = 64/8!. Find x?
Ans.(something wrong here) should be -> (1/x!)+ (1/(x+1)!) = 64/8!

6. Remainder question (Please write it if you remember)
Ans.

7. FIND THE MISSING N0.
7,26,63,124,215,342,........
A.481
B.511(answer)
C.391
D.421
E.211
Approach: n^3 -1

8. How many different subsets of the set {10, 14, 17, 24} are there that contain an odd number of
elements?
(A) 8(answer)
(B) 6
(C) 3
(D) 10
PS: Guys please share as much info as you can!
Solution : 4C1 + 4C3 = 8

9. The hcf of 3 nos a,b and c is 6 the sum of the 3 nos is 120 find the no of triplets that can be formed ?  
ans 132    
a+b+c=20 => 19c2

We need to remove cases when they are not coprime ie hcf > 1
When all are 2k then hcf 2

So 2a+2b+2c=20
a + b + c = 10, => 9c2

When all are 5k

5a + 5b + 5c = 20

a + b + c = 4 , => 3c2

Required : 19c2-9c2-3c2 = 132

10.The total no. of consecutive zeros in 76? (76 factorial)?
answer: 18

11.4 option given was asked which number is divisible by 19
19 divisibility

12.A father had 2 daughters aged 18 and 19 he wanted to divide 60000 between them so dat when they attain d age of 21 both gets d same amount of SI in one bank si was 6%for 2 years while in another 8% for 3 years what is the amount he gave to his eldest daughter ..??

Answer : 40,000
solution :  Elder daughter-- > x amount , 2 years, 6%
  Younger Daughter -- > (60,000-x) , 3 years, 8%
(x * 2 * 6)/100 = ((60,000-x)*3*8)/100
x= 40,000


13.Few number were given n was asked when it is arranged in ascending n descending order which number does not change its position

14.A farmer divided his land in 2 blocks and cultivated different crops in both the blocks in first year...second year he again divided the blocks n made it 4 blocks n 4 different kind of crop was grown dis was continued for 12 years calculate how many crops can be grown in 12 years (no crops can be repeated in 12 years of tym )
Ans: 8190
Sum of a Gp - 2+2^2 + 2^3+.....+2^12 = 2*(2^12 - 1 )/1


15. Aruna spends 5000 and buys 4 shirts. There is a sale of 1+1 going on. How much does she spend on a shirt?
Answer: Effectively she bought 2 shirts, i.e. 2500 per shirt
4 shirts= 5000/4 =1250?

16. PQR is a rt angledTriangle,find PQ+QR
   diameter of incircle is 12.
   diameter of circumcircle is 20
ans: both statements required? or can be answered by the either one?
PQ+QR=32
Can someone explain?  
(explanation: both r needed. hypotenuse is 20 and incentre is 12.. it can be solved using both)



Ans: 1st statement should be sufficient. For a right triangle with sides of lengths PQ, QR, PR, where PR is the hypotenuse,\par
inradius= (PQ+QR-PR)/2
6= (PQ+QR -20)/2  ( and from where u took value of PR, from 2nd statement ) (circumradius= Hypotenuse/2, hence PR=20)

PQ+QR= 32

Both statement are required ..

   
17.if the diagonal of a square is sqrt(pi) and is converted into cylinder,the what is the area of cylinder
ans: pi/2
diagonal=sqrt pi , so side of square =sqrt(pi/2)

now the circumference of the base of the cylinder = 2piR=sqrt(pi/2) so 2R= sqrt(1/2pi)
Height of cylinder = sqrt(pi/2)
Curved Surface area of cylinder = 2piRH= sqrt(1/2pi)*pi*sqrt(pi/2)= pi/2

18. A train passes one boy and one girl walking at 2 and 4km/hr in 9 and 10 sec respectively.What will be the ses a pole?    (explain?)
50 metres?

19)a square is inscribed in a circle with length 4m.what is the radius of the circle?
Ans: 4root2 will be the diameter .the radius will be 4 root2/ 2 .. which is 2root2 .
20) 12 robot and 16 scientist complete a work in 5 days and 13 robot and 24 scietists complete the same work in 4 days.in how many days will 8 robot and (dnt remember)scietists complete the work?            5.6 days  or 5
21)what is the sum of the series 2,6,10,....upto 20 terms?
Ans: 800
 
22. A certain sum is invested in two separate banks. The first bank was in Simple Interest @8% p.a. for 3 years and the second bank was Compound Interest @8% for 3 years. The difference between the interests at the end of 3 years was Rs 610. What was the original sum? Ans :30945???

yes

ci-si for three years =p*a^2(a+3)


23. There are five taps A, B, C, D, E that takes 10, 20, 30, 40 and 50 hours each respectively to fill a tank. First tap A is opened at 8:00 am, then after one hour B is opened and individual taps C, D, E are opened (in that order) after each hour. How many hours after 8 am could th yes

e tank be completely filled?

5.57 hrs??




24. ABC is a triangle with area 512 sq cm. D, E, F are mid points of AB, BC and AC respectively and triangle DEF is formed. Points P, Q, R are mid points of sides DE, EF and DF respectively. What is the area of quadrilateral PQFR? ans =64

25. Last 2 digits of 3^33 + 3^333 = 46?

3^33+3^333 divide the powers by 20 keep the remainders.

3^13+3^13 this will be left

Now find 3^13 once and then double it. 3^13=3* (3^4)^3

3*81^3

3*61*81

23


Double it

46 ans


26. Product of 2 numbers is 3822 and their HCF is 7. What is their LCM? ans=546 as lcm*hcf=prod

27. (DS question)
A man sold an iPhone and camcorder on eBay. He incurred a loss of 15% on the camcorder. What is the selling price of iPhone?
A. Selling price of camcorder was given and the difference between cost price of camcorder and iPhone was given.
B. The net profit incurred by selling both camcorder and iPhone was given. (sorry, don t remember the data)

28. (23! + 24!)/25 = remainder? ans= 0 as 25=5 square, which comes inboth 23! and 24!

29. In how many ways can a teacher distribute 5 chocolates among 3 students such that each student receives at least one chocolate and the teacher is left with none? 6 ways

30. There are 3 bags each containing some blue and pink balls only. Bag 1 contains 3 pink and 1 blue ball. Bag 2 contains 2 pink and 5 blue balls. Bag 3 contains 5 pink and 4 blue balls. Two balls are drawn at random (with replacement). What is the probability that the the two balls drawn are at least one blue and one pink?

6/11*5/12*7/13


31. An equation ax^2+bx+c = 0 is having real roots. The roots of the equation are m and n, such that m<-1 and n>1. What can be said about (b/a + c/a)?
a. It s necessarily positive
b. It s necessarily negative (should be this)
c. It s either positive or zero
d. It s either negative or zero
e. Cannot be determined.(pls verify)


32. Number of digits in 2^66. Log2 = 0.3010  Answer = log2^66 = 66*log2 = 66*.3010 =19.80 = 20


33. Sum of 5 consecutive even numbers is 210. Find the largest number.Answer = 46



34. In the ICSE exam of Class X, Nijaat and Neeti got 25% and 40% less marks than Sharmila. What is the percentage marks obtained by Neeti if it is calculated with respect to Nijaat's score?\par
(a) 40 %
(b) 50 %
(c) 60 %
(d) 70 %
(e) 80 % (answer)

60/75 *100 = 80


35. From a 90 litre jar filled with water, one-ninth of water is taken out and replaced with vinegar. \par
Again one-ninth of the mixture is taken out and replaced with vinegar. What is the volume of water in the final mixture?
(a) 63.13 litres
(b) 68.11 litres
(c) 71.11 litres  
(d) 79.81 litres(answer)
(e) 83.71 litres

ans=

volume of liquid left formula is kp

(90-10/90)^2=k=64/81

kp=640/9=71.11


36. Ravi can complete a work in 40 days while Sheetal can complete it in 30 days. Ravi started working and left after some days and then Sheetal completed the remaining work in 27 days. After how many days did Ravi leave?
(a) 1 day
(b) 2 days
(c) 3 days
(d) 4 days (answer)
(e) 5 days

37. Pipe I can fill a tank of 100 L in 20 minutes while Pipe II can fill the same in 30 minutes. Both the pipes are opened simultaneously and Pipe I is closed after 7 minutes while Pipe II is on for 8 minutes after that. What part of the tank was filled by Pipe II 10 minutes after both the pipes were opened?
(a) 20/41 Answer.
(b) 21/40
(c) 21/41
(d) 23/41
(e) 21/43

38. In a 4 km cycle race, the ratio of the speeds of the subordinate and supervisor is 8 : 5. If the subordinate beats the supervisor by 30 seconds, then how much time does the supervisor take to complete the race?(

a) 1 minute
(b) 1 minute 10 seconds
(c) 1 minute 20 seconds ( ans)(answer- please confirm) (correct answer)(verified)
(d) 1 minute 30 seconds (verify)
(e) 1 minute 40 seconds

39. A ferry boat runs to and fro from Allahabad to Varanasi which are 120 km apart. It takes 15 hours to go from Allahabad to Varanasi and return to Allahabad. Next day, when the speed of the current is twice what its speed was in the previous day, it takes the boat 24 hours for the round trip. What was the speed of the river on the first day?
(a) 4 km/hr

(b) 5 km/hr
(c) 6 km/hr(answer)-comfirmed
(d) 7.5 km/hr
(e) 9 km/hr(verify this answer plz)? (not the ans)


120/u+v +120/u-v =15

120/u-2v + 120u-2v = 24

solving

u=3v

and then solving any one equation

v=6


40. Rajib started a business investing Rs. 8000 and after 3 months Ashok joined him investing Rs. 36,000. Find the ratio in which the profits will be divided at the end of the year.( Wrong question or answers. In this case answer will be 8:27)
(a) 1 : 3 Seems closest to answer but exact ans is 8:27
(b) 2 : 3
(c) 1 : 1
(d) 3 : 2
(e) 3 : 1

Note: previously similar ques is discussed with ans 1/9 and 3000 incase of 8000


41. How many values of x is/are there which satisfy the equation logx^2 + logx^4 = log64? (Base of the logarithm being equal to 2). either answer is 1 or 2.
(a) 0
(b) 1 correct

m getting n^6=81.. so x can be 2 or -2) log cnt take -ve (yes x can only be 2, so that means the no of values for x is only 1 and hence ans is 1)
(c) 2

(d) 3
(e) 4
s

42. If the difference between two consecutive integers is 211, then what is a possible value of the larger number?( Please suggest approach???)\par
(a) 101
(b) 103
(c) 104
(d) 105
(e) 106 (answer)(explain plz) I guess some problem with question. (smaller number can be a negative number)

*the question was two consecutive nos. … have edited the question :)

It cannot be difference because difference between any 2 numbers/integers is 1, always, hence it should be the sum and thus 2 numbers can be x and x+1 sum is 2x+1=211 x =105 hence larger number is 106 :)


43. If the equations (1 + 8p)x^2 - 2(1 + 3p)x + (1 + 8p) = 0 has equal roots, then find the value of p.
(Note : p is not equal to zero).

(a) -2/9
(b) -2/11(answer-plz verify)correct answer
(c) -9/2
(d) -11/2
(e) 2/11



ed11. What is the difference between the roots of the equation |x - 2|^2 + |x - 2| = 2?
(a) 0
(b) 1
(c) 2 (answer)(is it correct?) Yes, roots are 1 and 3.
(d) 3
(e) 4

44. In a class, 40 students study Mathematics and 50 study Economics. If 20 students study both, then what is the total number of students in the class? (Assume that each student studies at least one subject).
(a) 50
(b) 55
(c) 60
(d) 65
(e) 70(Answer)

45. Out of 100 students, 21 students play exactly 2 sports. If a total of 127 students play cricket, football and lawn tennis, then how many students play exactly one sport?(Wrong)(i got answer as 3)
(a) 48
(b) 56
(c) 64 -> answer(?)
(d) 72
(e) 76 (Ans) (Pls Verify)

46. Shaquib took two loans from a bank. He had to repay the first loan in 63 installments in months 1, 4, 7, 10, ...... while he had to pay off the second loan in 43 installments in months 3, 7, 11, 15, ...... For how many months did he make the payments for both the loans?  (explain)
(a) 13
(b) 14 This may be the answwer. please verify. Need to find common terms in both sequences.  
          M also getting this as the answer. In 43 installments, after every nth common number the (n+3)th number in the sequence is common month. Try visualizing by writing both sequences uto certain values.*
(c) 15
(d) 16 ans
(e) 17

*the installments for the second loan was 47 n not 43… so the ans is 16

47. How many nine digit numbers can be obtained by using the digits 2 and 3 only?
(a) 1
(b) 9^2
(c) 2^9 (answer)
(d) 9C1 + 9C2
(e) 2^10

48. How will 10 is written in the binary form?
(a) 0010
(b) 1000
(c) 1001
(d) 1010 (correct)
(e) 1101

49. An equilateral triangle of sides 12 cm each is cut along its edges to form a regular hexagon. Find the area of the hexagon.\par
(a) 3(root3) sq. cm.
(b) 6(root3) sq. cm. why not this ? each side of hexagon is 4 cm thus area is this only
(c) 9(root3) sq. cm.
(d) 12(root3) sq. cm.
(e) 24(root3) sq. cm. (answer)

50. A cube is placed inside a hemisphere of radius 'r' such that its base rests on the base of the hemisphere while its other 4 vertices lie on th hemisphere. Find the volume of the cube.
(a) (root2)/(root3)r^3 (THIS IS THE ANSWER. CHECK & verify)
(b) 2(root2)/3(root3)r^3     maybe this one.
(c) 8(root2)/9(root3)r^3
(d) 3(root2)/2(root3)r^3
(e) 8(root2)/9(root3)r^3

51. A concrete footpath of width 3.5 m is to be constructed along the edges of a rectangular garden of length 1 km and width 350 m. Find the total cost if the cost of construction is Rs. 70 per square metre.
(a) Rs. 6,630
(b) Rs. 67,843
(c) Rs. 6,64,930(answer)
(d) Rs. 6,78,943
(e) Rs. 7,89,000

52. A number when divided by 21 leaves no remainder but when divided by 16, 20, 25 and 40, leaves a remainder 3 in each case. Find the smallest such number.
(a) 3,600
(b) 3,603(answer)
(c) 7,703
(d) 7,203
(e) 9,803

53. N is the largest 3-digit number which is divisible by 7, 10 and 15. A girl by mistake interchanged the unit's and hundred's digit of N and used this new number as a multiplying factor for a multiplication and what she got was 3564 less than the actual result. Find the result after multiplication by the new number.\par
(a) 208
(b) 212
(c) 216 Correct
(d) 224
(e) 232

54. If 13^2 and 3^6 are factors of the number 27783 x 11^12 x p, then find the digit in the unit's place of the least possible value of p.
(a) 1 should be the ans
(b) 3
(c) 5
(d) 7
(e) 9


55. If the positive integer x is greater than the positive integer y, then what is the value of x^3 - y^3? \{answer- (B) Correct\} ,Why Not D ??
I. x + y = 3
II. xy = 2

56. PQR is a triangle right angled at R. What is the value of PR + RQ? \{answer- (A)\}
I. The diameter of the inscribed circle of triangle PQR is 12 cm.
II. The diameter ,of the circumscribed circle of triangle PQR is 20 cm.

57. Is (5p - 4q - 3r) + (3q + 4r - 10p) divisible by 5? (using statement 1 alon)
I. (r - p) is divisible by 5
II. p is a multiple of 5

58. What is the value of ab + bc + ca + abc?(C-BOTH-verify?)
I. a + b = 15
II. c = ab = 4


59. The average of 5 numbers is 100, average of first 3 is 90. The ratio of 4th:5th being 1:4

Find the 5th no.  (answer-216)










Section 2 - LR:

1. Syllogisms - Anyone remembers? All cats are dogs..all dog are pets

2. Find the next term in the following series :
121, 169, 289,   361, __?
(a) 400
(b) 441
(c) 529 (C) 11^2,13^2,17^2,19^2,23^2 prime nos.
(d) 729
(e) 784

3. Ram went out of his office and travelled 25 km north before turning to his right. Then he travelled 40 km before turning to his left. He then travelled 15 km and turned left again and travelled 40 km. How far and in which direction is he now from the starting point?
(a) 40 km towards south
(b) 40 km towards north (answer)
(c) 15 km towards south
(d) 15 km towards north
(e) 80 km towards north

Directions for the next 3 questions :
X, Y and Z are three digits in the binary system and can take values either 0 or 1.
Instructions :
If only X and Y are both 1, then Y changes to 0 in the new number.
If only X and Z are both 1, then Y changes to 1 in the new number.
If only Y is 1, then X changes to 1 in the new number.
Note : In all other cases, all 0's change to 1 and all 1's change to 0 in the new number.
[Can someone explain the logic? thanks :)]

4. If in the new number, only X = 1, then which of the following can be the old number?
(a) X = 1, Y = 0, Z = 1
(b) X = 1, Y = 1, Z = 1
(c) X = 1, Y = 0, Z = 0
(d) X = 0, Y = 0, Z = 1
(e) X = 0, Y = 1, Z = 1(answer)

5. If in the new number, only Y = 1, then what can be the old number?
(a) X = 1, Y = 0, Z = 1(answer)
(b) X = 1, Y = 1, Z = 1
(c) X = 1, Y = 0, Z = 0
(d) X = 0, Y = 0, Z = 1
(e) X = 0, Y = 1, Z = 0

6. If each of X, Y and Z are 0 in the old number, what can be the new number?
(a) X = 1, Y = 0, Z = 1
(b) X = 1, Y = 1, Z = 1 (answer-plz verify)
(c) X = 1, Y = 0, Z = 0
(d) X = 0, Y = 0, Z = 1
(e) X = 0, Y = 1, Z = 0

7. Different letters represent different digits :
D N D E + K E Y A = G A G E (incomplete?)
(a) (b) (c) (d) (e)

8. CHANGE is coded as FHOBID and GRAPES is coded as TFQBSH, then what is the code for SCRAPES?
(a) TFRBSDT
(b) TFQBSFT
(c) TFRBSFT
(d) TDQBODT
(e) TFQBSDT(answer)

9. If CHILE is coded as 389125, then what is the code for MALDIVES?
(a) 131124923519
(b) 121124922520
(c) 141124922520
(d) 121124922519
(e) 131124922519(answer)

10. If TRAIN is coded as YVDKO, then what is the code for PLANE?
(a) VPDPF
(b) UQDPF
(c) UPDQF
(d) UPDPF(answer)
(e) VQDPF

11. In a certain code : 456 means "come home early"; 257 means "spring is early"; 269 means "home is heaven". Then what is the code for "spring"?
(a) 2
(b)4
(c) 5
(d) 6
(e) 7(answer)
Mark (a) if Statement I alone is sufficient to answer the question.
Mark (b) if Statement II alone is sufficient to answer the question.
Mark (c) if Statements I and II together are necessary to answer the question.
Mark (d) if either Statement alone is sufficient to answer the question.
Mark (e) if Statement I and II together are not sufficient to answer the question.

12. A set of people went to the restaurant and had different varieties of food. How many people went to the restaurant?(D-NONE-Verify?)
I. 43 people had pizzas while 23 people had anything other than pizzas, pastas and noodles.
II. 5 people had only pastas and 29 people had pizzas and pastas but not noodles.

13. Meaning of the phrase "black gash of shame" (from the reading comprehension

14. If STRAIGHT is coded as URTYKFV, then what is the code for ENDEARMENT? FMEDBLFMU < ANS>

15. If CARCASS is coded as DCUGFYZ, the what is the code for MELLOW? NGOPTC <aNS>

16. If Jim is late is coded as ( tim tam tum)Jim not good is coded as ( tum tdm tme)Love is good is coded as ( tdm tme tam) , then what would be the code for Jim love

17. If AIR = 336, WIRE = 342, then what would be the code for ADMIRE?

18. A, B, C, D, E are sitting around a circular table facing the center. A is second to the left of E who is not to the opposite of C or F. D sits to the immediate right of E and F is not the neighbour of A. Who is sitting opposite to E?

19. Odd man out?
a. Cool
b. Calm
c. Imperturbable
d. Tipsy
e. Sober

20. 64, 169, 441, 1156, ____?

21. 0, 110, 1320, ___?

22. M, N, O, P, Q, R, S are standing on a row facing north. O is not on the left end. S is on the right end. P is standing on a postion that is a prime number. Q and R have only person between them. How many arrangements are possible? (can someone plz tell the ans)

23. How many pairs of letters are there in the word  such that in the word, each pair has as many letters between them as there are in the alphabet?

24. A $ B means A is the husband of B
A @ B means A is the mother of B
A # B means  A is the sister of Q
A * B means  A is the son of B
Whaich of the following represents the relationship  R is the daughter of T ?
a. T@B#F*R
b. T@B#R*F
c. R#F*B@T
d. R#F*B$T
e. Insufficient data


LR:

No syllogism, series4-5 ( doable)

Input output- tough

Linear arrangement:

7 people in a row, numbered 1 to 7 from left to right

M, N, O, P, Q, R, S

Q and S sitting one space apart

Neither of them at prime places

O not at 1

N can't be S's neighbour

R at the end

P at a prime place.





VOCAB

Efface- to cause(something) to fade or disappear , erase
Cacophony -Harmony (Antonym)
Lionize - give a lot of public attention and approval to (someone); treat as a celebrity.
Maligner - the person who speaks harmful untruths about someone else
Lucid: vague (Analogy)
Scabrous- rough surfaced; scandalous or obscene; full of difficulties
Burnish - to make smooth and bright, gloss, brightness, luster
Banal: devoid of freshness, trite, unoriginal
Mellifluous: pleasingly smooth, feels good to hear
Recon: survey, preliminary search, inspection
Bestow: deprive, refuse, abduct,     (Antonym)

Prevalence -rareness, infrequency unusualness (antonym)
Anxious-nervous, uneasy, worried, unquiet
Gamish- # related to boyish girlish playish
Balk: hesitate or unwilling to accept an idea
Occluded: obstruct, block
Ineffable: too great or extreme to be expressed or described in words
Maculated- marked with spots, impure, besmirched
circuitous-not straight and short, indirect, not clear
Re con-military activity to find information about enemy
Perseverance-the quality that allows someone to continue and trying to do something even though it s difficult
Implicit-implied, tacit, unexpressed, unspoken, wordless
Paradigm-a model or pattern for something that may be copied
Malign
Reciprocate - respond
Passe - no longer fashionable, out of date
Diaphanous - light, delicate, flimsy, translucent
Pugnacious - eager to fight & argue, aggressive
Pusillanimous -lack of courage, timid
Retrospective - looking back on or dealing with past situation
Truculent -  cruel, savage, deadly
onerous
Contemplative (syn):thoughtful, pensive, reflective
Gamine (syn)  - homeless
Anxious (ant)- careless
Passe (ant)-
Bestow (ant)
Antelope:Calf :: ? ( correct answer: hyena: cub)

Cacophony
Convoluted
Lionize
Malinger
Miser
Onerous
malfeasance(syn)-wrongdoing