Official Quant thread for CAT 2013

MBA CAT 2022
3141
@chillfactor said:
Naga 250 is already a base 10 number, why are you converting it in base 5 to check the divisibilityDivisibility needs to checked always in base 10how did you get the last two digits as 48 ?? (I think its incorrect)@Brooklyn said:sir i got till 250after dat, E(4)=2so we get even number ^1 = 2You can use Euler's if in a ż, a is not coprime to the divisor
: silly mistake :banghead:
3142
@chillfactor said:
2^4231 (isn't it divisible by 4??? )
2^4231 = 2(2^4230) = 2(4^2115); 2(4^2115)mod 4 = 2;
Please correct me, if I'm going wrong.
3143
@Torque024 said:
2^4231 = 2(2^4230) = 2(4^2115); 2(4^2115)mod 4 = 2;Please correct me, if I'm going wrong.
bhai 4 se divisible hai yar...

2^3 is divi by 4..we just need 2^2...
aapne jayada dimag laga diya ...formula apply karne ke chakkar mein..
3144
@Torque024 said:
2^4231 = 2(2^4230) = 2(4^2115); 2(4^2115)mod 4 = 2;Please correct me, if I'm going wrong.
2^n mod 4 =0 if n>=2 always 😃 simple as that
3145
@Torque024 said:
2^4231 = 2(2^4230) = 2(4^2115); 2(4^2115)mod 4 = 2;Please correct me, if I'm going wrong.
A*B is always divisible by A

So, 2*4 ż is always divisible by 4
3146
@chillfactor said:
A*B is always divisible by ASo, 2*4 ż is always divisible by 4
Are han, abhi naha kar aata hu. Paap kar dia aaj to.
3147
@sujamait

Triangle CPY is similar to Triangle ACQ, & Triangle CXQ is similar to Triangle CPB, thus,

CP/CA=CY/CQ...(i) CX/CP=CQ/CB...(ii)

From (i) and (ii), we have, CY/CB=CX/CA...(iii)

Here, XY is parallel to AB [Since a line parallel to the base of the triangle divides the other two sides in equal ratios], thus,

Triangle CXY is similar to triangle CAB.

Now, Area of Triangle CAB=45 cm^2[approximately]

Thus, 45/7.2=20^2/XY^2, or, XY^2=64, or, XY=8cm..
3148

Ramesh sells rasgulla at Rs.15 per kg.A rasgulla is made up of flour and sugar in the ratio 5:3.The ratio of price of sugar and flour is 7:3 per kg.Thus he earns 66 2/3 profit.what is the cost price of sugar ?
1)10/kg
2)9/kg
3)18/kg
4)14/kg

3149
@shanu18 14/kg?
3150

The average of 4 distinct prime no.s is a,b,c,d is 35..where a

1)30
2)14
3)21
4)cannot be determined

3151
@audiq7 corect.. bhai explain ???
3152
@shanu18 yaar "a" to prime hai na? wrong question..
3153
@shanu18 said:
Ramesh sells rasgulla at Rs.15 per kg.A rasgulla is made up of flour and sugar in the ratio 5:3.The ratio of price of sugar and flour is 7:3 per kg.Thus he earns 66 2/3 profit.what is the cost price of sugar ?1)10/kg2)9/kg3)18/kg4)14/kg
4) 14

8kg rasgulla = 5kg flour + 3kg sugar :P
3kg sugar costs 7x => total cost = 21x
5kg flour costs 3x => total cost = 15x

So for 8kg, cost = 36x
1kg costs 4.5x

4.5x = (100/166.67) * 15 = 9

x = 2

7x = 14

3154
@shanu18 options se kiya. ratio of sugar and flour is 7:3. among the options, only 14 is a multiple of 7. tried it.
3155
find the value of (32.1)^1/5 - ( 1.022)^-1/4
options
0.985
1.325
1.455
1.005

p.s - Time iift mocks @gs4890
3156
@audiq7 sorry bhai qustn incomplete hai wait...
3157
@rkshtsurana said:
find the value of (32.1)^1/5 - ( 1.022)^-1/4options0.9851.3251.4551.005p.s - Time iift mocks @gs4890
1.005?
3158
@ScareCrow28 said:
1.005?
bhai approach bata...
3159
@rkshtsurana said:
find the value of (32.1)^1/5 - ( 1.022)^-1/4options0.9851.3251.4551.005p.s - Time iift mocks @gs4890
izz it 1.455 ? approx
3160
@rkshtsurana said:
find the value of (32.1)^1/5 - ( 1.022)^-1/4options0.9851.3251.4551.005p.s - Time iift mocks @gs4890
1.005?