CAT 2008: QQAD Practice Test Discussions - Page 47
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Quantitative Questions and Answers Discuss Quantitative and other Math related questions. Post your math doubts and get it solved by the smartest brains this side of the universe !

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View Poll Results: What is your opinion on the Practice Test(s) of QQAD?
Not CAT like -> would want more grilling test next time 7 4.83%
Not CAT like -> it was too tough for a quant paper 26 17.93%
CAT like -> it tested me well on quant topics and made me learn my weak areas 101 69.66%
CAT like -> the test could have been better to test student's abilities 11 7.59%
Voters: 145. You may not vote on this poll

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Re: CAT 2008: QQAD Practice Test Discussions
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thebornattitude
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Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 11:39 AM

Gave the paper late night yesterday......
Moi attempts

(15 attempts in 47 mins)

2) b
4)b
6)a
9)d
11)c
12)a
13)d
14)e
15)c
17)d
18-e
19)a
20)b
23)e
25)e


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Re: CAT 2008: QQAD Practice Test Discussions
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Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 12:27 PM

MY answers:
1. b
2. b
7. d
9. d
11. c
14. d
15. c
16. e
17. d
18. e
25. e

I could not take a print-out, so solved it in front of my PC.
Attempted only 11 questions, counting on my accuracy.
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Re: CAT 2008: QQAD Practice Test Discussions
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Aarav
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Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 12:46 PM

Any one who has seen CAT 2006 would be reminded of it after solving QQAD Test 3. In a test of this nature, people who are good in quant have great chance to maximize their overall marks by scoring heavily in quant section. Often, we have seen cricket pundits commenting that a batsman should play a bowler on the merit of the ball and not bowler's reputation. This holds for CAT as well. Attempt the section on its merit and not reputation with pre-determined ideas about its toughness or the possible cut-off scores.

The competition will always be at your neck, irrepective of the fact that you managed to score good in a section due to easy paper, others will also do the same. But, one can't over-emphasise the merit of good accuracy in any kind of paper. 2 silly mistakes can swing down your percentile from 96 to 90 in that section and hence can deny you 3-4 IIM calls.

A student who has quant as his/her strong area should have attempted 17 questions with close to 80% accuracy. Or you just needed to answer 13-14 problems correctly with 100% accuracy to score very good in this paper!

Let's identify easy problems in this paper -> 2, 3, 8, 9, 11, 15, 17, 18, 22, 23 -> each of which shouldn't have taken more than 150 seconds to be read/understood and solved. Infact some of these needed less than a minute to be cracked. You had another 25 minutes for 4 more problems to solve correctly.

Many face the problem of sticking to a particular question for too long, doing some activity and coming out with zero or even negative results. This can happen with any one of us. The best way to deal with this is to expand your skill set areas in quant by practising problems of varied kinds. Another way is to divide the problems into a) funda problem (5, 8, 10, 16, 18 , 25 etc.) b) calculation problem (1, 14, 15, 17 etc.) or mixture of both (2, 7, 19, 20, 21, 24 etc.) Calculation problems are the best bet (if you are sure to ace each of these in 3 minutes then attempt it else leave). Funda problems that involves litle or no calculation should be thought of and understood well in its completeness. The aim
of the examiner is not to kill you in the exam but to see the best of you. Again, if you are unable to think of a line to solve a funda problem in 3 minutes then come out immediately. Funda + calculation problems are actually less tougher than pure funda problems, so device a strategy yourself how to deal with this, but at any point no problem should be given more than 4 minutes. It's a SIN not to read all the 25 questions in the section to decide which one's should be attempted and which one should be left untouched. Remember, practice doesn't make a man perfect, only a perfect practice makes a man perfect.

The scores and the marks in Practice test 3 will be as following
[53, 55] -> 99 percentile
[43, 45] -> 96 percentile {for 4+ IIM calls, provided you have decent scores in other VA and DI section as well}
[33, 35] -> 90 percentile {for 1+ IIM call(s), provided you have decent scores in other VA and DI section}

We still have time to learn to be hungary to score and yet know our limitations under which we have to perform to the best of our potential on the D-day. In this regard, analysing a paper thoroughly will help immensely.

People who managed 50+ in this paper deserve special praise The highest so far in this test has been 66 marks. Kudos to the person who managed this.

Keys to Practice test 3

1 -> b
2 -> b
3 -> b
4 -> c
5 -> c
6 -> a
7 -> d
8 -> b
9 -> d
10 -> e
11 -> c
12 -> a
13 -> d
14 -> d
15 -> c
16 -> e
17 -> d
18 -> e
19 -> a
20 -> b
21 -> e
22 -> b
23 -> e
24 -> e
25 -> e

The thread is now opened for the discussions Please post the answer to problems that can be put as official solutions.


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Re: CAT 2008: QQAD Practice Test Discussions
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Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 01:00 PM

Got 13 correct out of 15 attempted......posting the solutions to the questions attempted Score- 50.00

Qu -2
Take log on each side so a= log4/log 3, b= log5/log4…and so on , multiplying each we get…
abcdef= log9/log3= 2


Qu6

If you open it up, we get a rectangle lwith length =6 and width = 4pi
P, R on one side of width and Q on other.. so pq= 4 root( pi^2 +1)
qr= 2root( 4pi^2 +1)

so option 1 is the answer


Qu 9
1/A + 1/B= 1/Z
1/A + 1/C=1/Y
1/B + 1/C= 1/Z

so eliminating all we get 1/Axy-yz+xz/2xyz
hence A= 2xyz/xy-yz+zx is the answer

Qu 11
It doesnt matter how the square is placed.so put the square symmetric so part that lies inside = 5/2 X5/2= 25/4

Qu12-
Fix west and east as one colour

Case 1- If they are of same colour , then north and south both can have 4 colours each ,, hence total combinations here= 16

Case 2- If they are of 2 different colours
then North south can have 3 colours each, combinations=9

so as west and east can have either same colour or 2 diff colours.. so fix west’s colour and combinations made=
16+ 9+9+9+9 = 52…

so for each colour = answer= 52x5=260


Qu- 13= 4 traingles are there ,,
given ½ b1h1=4
½ b2h2=9

we have to find minimum 1/2b1h2 and ½ b2h1

by hit and trial I got to come to the conclusion that b1=2….h1=4
b2=3….h2=6

so now net area= ½ (26+24)= 25 ….answer



Qu 15- put x=0,,so f(1)= 2f(0)+1=5
put x=1 to get
f(3) = 2f(1) +1= 11..answer..

Qu 17- The numbers are - 61-AB
42- CD= EFG= 103

hence summmation a+b= 7

Qu 18-

let a’ be integral part of a and f1 be fractional part
b’ be integral part of b and f2 be fractional part

so a’(a’ + f1)= 17
b’(b’+f2)= 11
so we get that a’= 4…f1= ¼

b’= 3..f2= 2/3

so a-b= 1+ ¼-2/3= 1-5/12= 7/12….answer..

Qu 19-

Draw perpendicular from centres of the circles to one of the sides of the triangle.from ratio we get the height of the traingle = 8……(I)

Now let half angle be x

so sin x= 1/3

so cos x= 2root2/3

now let half base= b
so tan x= b/8

so b= 2root2..so total base= 4root2..

so area= ½ x 4root2x 8= 16 root2.


Qu- 20

Let the summation be m.. cube it to get

m^3= 2+root5 +2 -root5 - 3 (-1){m}
so m^3 +3m -4= 0

so we get m=1….answer

Qu 23--- In all positions 1, 2, 3, 4 X will win …by putting X at 5, 6( unassigned position), 5,5

so only 5 is the suitable position.

Qu 25-
0.3333 be in numeral system n..

so
it will be equal to= 3( 1/n + 1/n^2 + 1/n^3+ 1/n^4……..)
= 3/n(A GP with common ratio= 1/n)

(= 3/n)x (n/ n-1)= 3/n-1 It should be equal to 1/5

hence n= 15+1= 16…..answer..


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Last edited by thebornattitude; 21-08-2008 at 01:08 PM..
   
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Re: CAT 2008: QQAD Practice Test Discussions
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Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 01:04 PM

12C 1W
Net score 47


1) A=(248/55) B=1001/92
clearly C is less than A and B
and B>A
so, B>A>C

2)taking log of all the equations and multiplying..
we get abcdef=log9/log3
adcdef=2

3)By Basic Prop. Theorem, MPllAB
triangles CQM and CNB are similar. So, CN=8
Now, O is the median, so OC=8*2/3
which gives OQ=16/3-4=4/3
OQ=4/3


loser..

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Re: CAT 2008: QQAD Practice Test Discussions
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Thumbs down Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 01:06 PM

doomed..
attempt 12 C 8 W 4 ( 2 silly mistakes)
score 28

I failed to locate sitters..I got 4-5 correct which i solved later..

Does anybody have any suggestion for silly mistakes?

PS: oh boy, solving PS online is pathetic..I lost both time and patience


here i come..to bell the CAT....................again
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Re: CAT 2008: QQAD Practice Test Discussions
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Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 01:11 PM

5)a^10=a^3 so, a^7=1
b=b^2 so, b=1
so, a^7=b

6)spread out the paper forming the cylinder..
so, we get two hypotenuses
using pytha. th, ans is a

7)let total weight of fishes be 100kg.
weight of 2 heaviest fish=25kg
lightest 5=45kg.
Now remaining have 30 KG WEIGHT.
now if we assume the lightest 5 to be all of equal weight they are 9 kg each. and heaviest 2 can weigh 11 to 14kg.
so the 30kg can be distributed among the 3 fishes with 10 kg each without violating any of the conditions.


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Re: CAT 2008: QQAD Practice Test Discussions
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Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 01:12 PM

Quote:
Originally Posted by thebornattitude View Post
Qu 17- The numbers are - 61-AB
42- CD= EFG= 103

hence summmation a+b= 7

..
I think answer is correct but you have got the numbers wrong..
i got it as 43+62=105


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Re: CAT 2008: QQAD Practice Test Discussions
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Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 01:24 PM

killed myself with some silly mistakes!!!!!!!


Total attempts = 16
Correct = 12
wrong = 4
Net Score = 48-4 = 44

Goshh Thats really bad

Q-3

If we join MN and PN it will form a rhombus

in which diagonals CN and MP will bisect each other
CQ = 4
So QN = 4
Now at point O the medians are intersecting hence
dividing in the ratio 2:1

Therefor CQ + QO = 2X
So 4 + QO = 2X
also X + QO = 4

solving above 2 equations
we get OQ = 4/3

will come up with the solutions of others which i felt were really gud!!!!


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Re: CAT 2008: QQAD Practice Test Discussions
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Re: CAT 2008: QQAD Practice Test Discussions - 21-08-2008, 01:25 PM

Quote:
Originally Posted by dhanu_25 View Post
I think answer is correct but you have got the numbers wrong..
i got it as 43+62=105
Hmm u r right,,,, but where did i go wrong ???


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