# Official Quant Thread for CAT 2011 [Part 7]Quantitative Report

Please continue here with all the quant queries and their discussions.
Please use the posts for discussions as judiciously as you can.
Try to stick ...
31 31
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Hey i am getting 1??
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38 is a co prime to 17 so 38 raised to the power 16 will leave 1 as the remainder when divided by 17 as E(17) is 16.
Refer to the Euler theorem.
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Couldn't solve it..what is the answer..?
a stdent took 5 test and each sccre is out of 100. if his score were in ratio of 6:7:8:10:11.in how many test did he score above 60%.
1. he score more than 80% in exactly 2 of test
2.all score were whole no withot any frction
is it 16?
let me know
1 1
ProcMock 11
Q-The sum of thirty-two consecutive natural numbers is a perfect square. What is the least possible sum of the smallest and the largest of the thirty-two numbers?
a81
b36
c49
d64
Q) After the addition of 35 liters of water to a can of diluted milk, the concentration of milk in the can becomes 30%. Now, further 40 liters of water is added to the can and the concentration of milk in the can gets reduced by 10 percentage points. How many more liters of water must be added to...
only 1 value
ie (2^35+2^1003)^2 = (2^70+2^1039+2^2006)
so x = 1003
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How many integral values of 'x' are possible for which (2^70 + 2^1039 + 2^x) equals the square of a whole number?
A 0 B 1 C 2 D 3
as car takes 30 minutes to cover the distance travelled by bus in 60 minutes
so, speed of car=twice the speed of bus
now in total both travel 160km in 80 minutes
so bus travels 160*1/3 km in 80 minutes
so, speed=160*1/3*60/80=40km/hr
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as car takes 30 minutes to cover the distance travelled by bus in 60 minutes
so, speed of car=twice the speed of bus
now in total both travel 160km in 80 minutes
so bus travels 160*1/3 km in 80 minutes
so, speed=160*1/3*60/80=40km/hr
1 1
puys plz help me out wid dis prob...find da number of whole no. solutions of da equation 2x+3y+5z=100....
Q-1 How many 2 digit positive integers are there which are one and half times larger than the product of their digits??
Q-2 How many positive integers x between 1 and 1000,both inclusive, is 4x^6+x^3+5 is divisible by 7 ??
Thanx
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Vc=2Vb
Vc*(80/60)-80+Vb*(110/60)=80.
ans is not cmng.pls tell where d approach s wrong
ans is 1...
Cheers!
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1) One cubic metre piece of copper is melted and recast into a square cross-section bar, 36m long. An exact cube is cut off from this bar. If cubic metre of copper cost Rs.108, then the cost of this cube is?
2) If 'h' be the height of a pyramid standing on a base which is an equilateral tria...
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Combining the two equations to get the value of x :-
2x - 4 (31 - 3x) = 33;
Now convert base 7 to decimal.
Eg.
31 = (3 * 7^1 + 1 * 7^0) = 22
lly
33 = 24
All the one digit numbers below 7 remain same
The equation becomes:-
2x - 4 (22 - 3x) = 24;
this yields x= 8.
Plz help me out with these problems on Number system
1.Find the remainder of 2^2+22^2+222^2+2222^2+......(222.....49 twos)^2 is divided by 9
2.n=202*20002*200000002*20000....2(15 zeroes)*20000...2(31 zeroes).find the sum digits in this multiplication
a.112
b.160
c.144
d.cant det...
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Solve in base 7 the pair of equations 2x-4y=33 and 3x+y=31 where x,y and the coefficients are in base 7.
Seems to be the correct answer. Thanks
Surely is the correct approach and hence yields the right answer.
Thanks !
In bold part, you have made a small mistake.. They meet for the first time after travelling certain distance..
So, we need to remove that from 80 first...
Here is my appraoch:
Say, they meet for first time after 'x' km.
Now, car and bus together travel 160 k...
How many values of (a,b,c) are possible such that (a+b+c -6) is a multiple of 4 where all a ,b ,c are <=6 and greater than 0?
Distance between A and B is 80 kms. A bus left A at constant speed towards B.30 mins later car left from A to B. Car overtook the bus in 30 mins and continued towards B.With out stopping at B, the car turned back and again encountered the bus 80 mins after he had left A. Speed of bus?
Ans:40 ...
Did hit and trial to find out the base..
484 % 5 = 4
96 % 5 = 1
19 % 5 = 4
3 % 5 = 3
Hence the base is 5.
3111 = 3X5^3 + 1X5^2 + 1X5 + 1 = 375 + 25 + 5 + 1 = 406
In a class of 12 students , 7 boys and 5 girls.The class has 4 sessions each day,one each of arithmetic ,algebra,geometry and probability.These classes are to be held one after the other in 4 distinct time slots and can be in any sequence .Further there are 2 teachers available and they can teach...
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You have to make Cases:
Case 1: x>0,y>0 and x>y
Eqn reduces to x=3
Case 2: x>0, y>0 and x<0,y<0 and x>y
Eqn reduces to y=-3
Case 4: x<0, y<0 and x36 units
2 2
@think can u explain the bold part plz
We will have 80 remaining numbers i.e 3 + 77 remaining numbers.
Now, out of 77 numbers, 11 are surely divisible by 7.
Now, we just have to check if first 3 numbers have any one divisible by 7.
203 will there as it is not divisible by 2, 3 or 5 bu...
3 3
Yes Answer is 36..but can u pls explain how do we arrive at that??..Thnx in advance..
Compiled question and solution for reference
8 8
my take 36
Is it 36 units
@think can u explain the bold part plz
find the area bounded in the x-y plane by the curve x+y+x-y=6. Please can someone explain the approach?
a.24
b.36
c.49.
d.48