COMPUTER ANORAK

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14. Although the substance is normally quite ........., scientists found that when tempered with other elements it could be stored safely in metal containers.
a) voluminous
b) caustic
c) insoluble
d) vapid

(b)

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9. The mangoes ............... over time
a)ripe
b)will ripen
c)ripes
d)ripen

(b)

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4. ....... the end of TCS, came hard time for Mathura and Muzaffarnagar.
a) With
b) Along
c) When
d) Moreover

(a)

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49. Three dice are rolled simultaneously. Find the probability of getting at least one six.
a) 1/6*5/6*5/6
b) 5/6*5/6*5/6
c) 3*1/6*5/6*5/6
d) none of the above

condition for no sixes is-
(5/6)*(5/6)*(5/6)
i.e. 125/216
therefore for atleast 1 six-
=1-(125/216)
=91/216
therefore option d)

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14.
1. Am I one of the people who are worried that Bill Clinton’s second term might be destroyed by the constitutional crisis?
A. On the other hands, ordinary citizens have put the campaign behind them.
B. In other words, what worries me is that Bill Clinton could exhibit a version of what George Bush used to refer to as Big Mo.
C. That is, he might have so much campaign momentum that he may not be able to stop campaigning.
D. Well, it’s true that I’ve been wondering whether a President could be impeached for refusing to stop talking about the bridge we need to build to the 21st century.
6. They now prefer to watch their favourite soaps and ads on TV rather than senators.

a) DBCA
b) ABDC
c) BACD
d) CBDA

(a)
D tries to answer the question raised in 1, B simplifies the statement made in D, C further simplifies it and A talks about the position of ordinary citizens regarding the issue, which is continued in 6.

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44. If a=b*c then  for any value of n, the equation  (a-b)^n-(c-b)^n+c^n is always divisible by
a) bc
b) b but not c always
c)c but not b always
d)non of above

put n=1 then the given (a-b)^n-(c-b)^n+c^n is divisible by -> bc
put n=2 then the given (a-b)^n-(c-b)^n+c^n is divisible by -> bc
put n=3 then the given (a-b)^n-(c-b)^n+c^n is divisible by -> bc
for for any value of n the given expression is divisible by bc
option A.

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9.
A. The potential exchanges between the officials of IBBF and the Maharashtra Body-Building Association has all the trappings of a drama we are accustomed to.
B. In the case of sports persons, there is room for some sympathy, but the apathy of the administrators, which has even led to sanctions from international bodies, is unpardonable.
C. A case in the point is the hefty penalty of US $10,000 slapped on the Indian Body-Building Federation for not fulfilling its commitment for holding the Asian Championships in Mumbai in October.
D. It is a matter of deep regret and concern that the sports administrators often cause more harm to the image of the country than sportsmen and sportswomen do through their dismal performances.

a) CABD
b) DBCA
c) DABC
d) CDBA

(b)
Here sentence C is an example of sentence D. Therefore C will come after D.
Now as we go by elimination method only option b and c remains.

Now go by ACRONYM Method IBBF in sentence A and Indian Body-Building Federation in sentence C. Therefore sentence C will come before A as full form of the acronym is stated in sentence C and only afterwards short form is used in sentence A. Hence only option b remains which is the correct answer.

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4.
A. 1971 war changed the political geography of the subcontinent
B. Despite the significance of the event. There has been no serious book about the conflict
C. Surrender at Dacca aims to fill this gap
D. It also profoundly altered the geo-strategic situation in South-East Asia

a)ACBD
b)CADB
c)BADC
d)ADBC

(d)
We can see that Option A is most likely the starting sentence. Now that we know that A is the starting sentence we can eliminate choice B and C as they start with C and B respectively and not with sentence A. This narrows down our possibilities to option a and option d.
Now we can see in option a, C follows sentence A but the gap spoken of in sentence C has no correlation with political geography of the subcontinent spoken of in sentence A , so we can rule out Option a. Therefore answer has to be option d, as we can also see it elaborates on the change mentioned in sentence A.

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39. Two circles intersect each other @ two points P and Q ...smaller circle has radius 1cm...if arc extended by smaller circle is 90 degree and that of the larger circle in 60 degree at their corresponding centres .Find out the common area of the circles?

let the radius of first circle be (R,R)
let the radius of second cirlce br(r,r)
itis because its lies on line y=x int the first quadrant.so we need to find(R-r)
accoding to distance formula;
d=(sqrroot(x2-x1)^2+(y2-y1)^2);x1=r,y1=r,x2=R,y2=R;
replacing values;
d=(sqroot(R-r)^2+(R-r)^2);here dis given as 8 int the ques;
8=(sqrrrot(2(R-r)^2)
8=root2(R-r)
so;R-r=4root(2);

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34. How many six digit numbers are possible using 1,2,3,4,5,6 such that the number formed is divisible by the digit at its units place?

If digt place has 1 then possible numbers = 120(5!)
if 2 then possible numbers = 120
if 3 then possible numbers =120
if 4 then possible numbers = 48 (4!*2)
if 5 then possible numbers = 120
if 6 then possible numbers = 20
so totl no=648

a)amit and das

b)badri nd chetan

c)badri,chetan nd das

d)amit alone

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29. What should come in the place of (?) in the given series?

A +5==>F +5==>K +5==>P
C +4==>G +4==>K +4==>O
E +3==>H +3==>K +3==>N

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24. A fresher recruitment event of Hire All Smart People ltd(HASPL) at elitmus happens in 2 cities Bangalore and Delhi. The interview call is sent to everyone who is above 70th percentile(top 30% of the pool)70% and 80% of called people accept the interview calls in Bangalore and Delhi respectively 90% and 80% of the people who accepted the call,turned out on the day of the interview respectively in Bangalore and Delhi.The 'offer' ratio is 2 out of 3 and 3 out of 4 of the people who turned up in Bangalore and Delhi respectively. If amongst people who apply there are 1000 people above 70th percentile in each of the locations. What percentage of 70th percentile from elitmus got offered in HASPL when results of both location are taken together?

a)60%
b)50%
c)45%
d)41%

fraction of people selected from bangalore = 0.7*0.9*2/3 = 0.42 or 42%
fraction of people selected from Delhi = 0.8*0.8*3/4 =0.48 or 48%
percentage of 70th percentile from elitmus got offered in HASPL when results of both location are taken together = (42+48)/2= 45 %

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19. What will be the remainder when expression 2^2+22^2+222^2+2222^2+....+22222...48times^2 is divided by 9?

First, let us consider a general case :
(222222222222.....{2 is repeated n times})^2
=[2(111111111111........{1 is repeated n times})]^2
=4(111111111111........{1 is repeated n times})^2
=4{(10)^(n-1) + (10)^(n-2) + (10)^(n-3) + (10)^(n-4) + .... +1}^2.......[(eqn1)]
Now, we know 9 divides (10^k -1) , since (10^k -1)=(999999....k times);
Where k is ofcourse a +ve integer. So,(10^k -1) is of the form (9A + 1);[A being a +ve integer].
Now, looking at the [(eqn1)] ,
we can find that here k =(n-1), (n-2), (n-3),....,1.
Now,for 10^(n-1) = 9*(a1) + 1;
10^(n-2) = 9*(a2) + 1;
10^(n-3) = 9*(a3) + 1;
10^(n-4) = 9*(a4) + 1;
.
.
.
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10^1 =9 +1;
1 = 1
So,now in [(eqn1)] , we can write
(222222222222.....{2 is repeated n times})^2
=4(9*A +{1 + 1 + 1 + 1 + .........[1 is added n times]})^2
=4*(9*A + n)^2; here, A =(a1+a2+a3+a4+....+1),of course an integer.
=4*81*(A^2) + 4*2*(9*A)*n + 4*(n^2);...............[(eqn 2)]
Now this a general expression for (222222222222.....{2 is repeated n times})^2.
For the given problem,we can find that n=1,2,3,4,5,6,....48.
In the [(eqn 2)],since 1st two terms are already divisible by 9,so we only have
to consider the last term,i.e, 4*(n^2);
Summing up [4*(n^2)] for n=1,2,...48. we get
4{(1^2)+(2^2)+(3^2)+(4^2)+(5^2)+...(48^2)}
=4*[48*(48+1)*(2*48 +1)/6] ; using the formula[1^2 +2^2 +..+n^2=n(n+1)(2n+1)/6]
=4*8*49*97
=4(9- 1)(9*5 +4)(9*11 -2)
=9*B + 4(-1)*(4)*(-2); B an integer, to know its value is not important
=9*B + 32
=9*B + 9*3 + 5;
So, clearly the remainder will be 5.

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14. A natural number has exactly 10 divisors including 1 and itself. how many distinct prime factors can this natural number can have?
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7. How many values of c in the equation x^2-5x+c result in rational roots which are integers?

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8. If 1/a + 1/b + 1/c=1/(a+b+c) where a+b+c != 0, a*b*c != 0 what is the value of (a+b)(b+c)(c+a)?
a)equals 0
b)greater than 0
c)less than 0
d)cannot be determined

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9. PR is a tangent to a circle at point P.Q is another point on the circle such that PQ is the diameter and RQ cuts the circle at point M. If the radius of the circle is 4 units and PR=6 units then find the ratio of the perimeter of triangle PMR to the triangle PQR
a)11/20
b)3/5
c)13/20
d)18/25

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10. The circle O having a diameter of 2cm, has a square inscribed in it.each side of the square is then taken as a diameter to form 4 smaller circles O'.find the total area of all four O' circles which is outside the cirlce O.
a)2
b)pi-2
c)2-pi/4
d)2-pi/2

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2. If X=123456 and Z=X-Y then for how many values of Y, Z is divisible by 48, 98, 105?

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3. There are 6 Bangles each of 4cms in diameter. These are to be placed in a salver(plate), what should be the minimum radius of the salver, so that each bangles are kept without overlapping (bangles touching each other)?

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4. Let Sn denote the sum of first n terms of an A.P. If S2n = 3Sn, then the ratio S3n/Sn is equal to?

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5. In a strange twist of hearts, P politicians of a country agreed to an average donation of Rs. D each. Q of these politicians, who had pledged an average of Rs. A never donated the pledged money. Which of the following expressions represents the percent of the pledged money that was actually donated.

a)100(QA/PD)
b)100(PD/QA)
c)100-100(QA/PD)
d)100PD-100(QA/PD)

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