Quant by Arun Sharma

Two people A and B start from P and Q(distance= D) at the same time towards each other. They meet at a point R, which is at a distance of 0.4D from P. They continue to move two and fro between the two points. Find the distance from point P at which the fourth meeting takes place.

a) 0.8D
b) 0.6D
c) 0.3D
d) 0.4D

Let the distance is between P and Q 120 km

they first meet .4d means 48 km from p

from this we can say that P has walked 48 km and q has walked 72 km

So their ratio is 2:3

at first time they will walked 120 km for meeting

and now for every time they meet after first meeting they will walked a total distance of
120*2=240 km

so check the distance walked by A in next three meeting=240/5*2*3=288 km

288+48 (first meeting)=336 km is the distance walked by a from starting point to fourth meeting
120+120+96=336

means 96 km from P they will meet at fourth time
96/120=.8D ans

The series of numbers(1, 1/2, 1/3, .. 1/9172)is taken. Now 2 numbers are taken from this series say (x,y). Then the operation x+y+x.y is performed to get the consolidated number. The process is repeated. What will be the value of the set after all the numbers are consolidated in to one number ?
A]1970 b]1971 c]1972 d]None of these

M is a 2 digit number which has the property that: The product of factorials of its digitis > sum of factorials
How many such number exist ?
A]56 b]64 c]63 d]None of these

So 6 answer should be
150= 15*10= 5*3*5*2 = 5^2*3*2

7200= 2^5 * 3^2 * 5^2

Sum= (2^1+2^2+2^3+2^4+2^5)(3^1+3^2)
No.= (2^4 * 3^1)


Kindly let me know if this is right or not?


== > In thest type of questions Focus on what we need to get ( e.g. 150 )

7200 = 25 X 32 X 52
Sumation form = ( 20 + 21 + 22 + 23 + 24 + 25 ) ( 30 + 31 + 32 ) ( 50 + 51 + 52 )
We want to get all factors which were divisible by 150. So minimum number we need here is 150.
i.e. 52 * 3 * 2.
IN 5s all numbers below 52 will be excluded.
IN 3s all numbers below 31 will be excluded Because any number multiplied above this will be a Multiple of 150
IN 2s all numbers below 21 will be excluded.

So the number boils down to ( 21 + 22 + 23 + 24 + 25 ) ( 31 + 32 ) ( 52 )
Number of factors will be -- > FIVE 2s * TWO 3s * ONE 5s
5 * 3 * 1 == > 15

the progression chapter in arun sharma.....Is so mechanical....All theory 1st and then questions...Difficult to understand

100 million bacteria can completely decompose a garbage dump in 15 days and 60 million bacteria can do so in 30 days.If same quantity of garbage is added to the initial quantity of the dump everyday,how many bacteria will be required to completely decompose the dump in 10 days?

a)150mn
b)180mn
c)140mn
d)120mn
e)125mn
the qn. is nt much clear to.kindly explain with a detailed sol.

100 million bacteria can completely decompose a garbage dump in 15 days and 60 million bacteria can do so in 30 days.If same quantity of garbage is added to the initial quantity of the dump everyday,how many bacteria will be required to completely decompose the dump in 10 days?

a)150mn
b)180mn
c)140mn
d)120mn
e)125mn
the qn. is nt much clear to me.kindly explain with a detailed sol.

Let avg. expense for 1 day= a

Total cost= 42a
After admission of 13 students, cost= 42a+31

Avg. expense = a-3
Total expense for 55 students= 55(a-3)

=> 42a+31 = 55(a-3)

Whatever 'a' will come, multiply it by 42, you will get the answer



Yes. Methodology is correct. Answer comes out to be 639.66. None of these (option e).

The series of numbers(1, 1/2, 1/3, .. 1/9172)is taken. Now 2 numbers are taken from this series say (x,y). Then the operation x+y+x.y is performed to get the consolidated number. The process is repeated. What will be the value of the set after all the numbers are consolidated in to one number ?
A]1970 b]1971 c]1972 d]None of these

M is a 2 digit number which has the property that: The product of factorials of its digitis > sum of factorials
How many such number exist ?
A]56 b]64 c]63 d]None of these

hi kambarish,
take first two numbers 1 and 1/2 will give 2 then 2 and 1/3 will give 3 so trend is that last denominator comes as answer thereby conclude that at the end 1972 will come..ans=1972

for the next one..ans=63 check manually u will get!!!

Hi

Can anyone help me with the below mentioned question?

1. 16^5 + 2^15 is divisible by

a) 31
b) 13
c) 27
d) 33
e) 12

I found some inconsistency in its answer.

Would appreciate if all the steps can be shown.

Early reply would be laudable.

Regards
Sachin

Hi

Can anyone help me with the below mentioned question?

1. 16^5 + 2^15 is divisible by

a) 31
b) 13
c) 27
d) 33
e) 12

I found some inconsistency in its answer.

Would appreciate if all the steps can be shown.

i am getting 27 and 12 by which this can be divided....what is the answer given in the book?/

i think i have made a terrible mistake i took it as
16^15+2^15
is that correct or what is already written is correct....????
Hi

Can anyone help me with the below mentioned question?

1. 16^5 + 2^15 is divisible by

a) 31
b) 13
c) 27
d) 33
e) 12

I found some inconsistency in its answer.

Would appreciate if all the steps can be shown.

Early reply would be laudable.

Regards
Sachin


16^5 + 2^15
=> 2^20 + 2^15

=> 3*2^15*11

so , its divisible by 33 and 12

Thank You..!!

Even I got the same answer. Unfortunately, Arun Sharma's book stated only 33 as the possible solution.

Regards
Sachin

16^5 + 2^15
=> 2^20 + 2^15

=> 3*2^15*11

so , its divisible by 33 and 12


Thank You..!!

Even I got the same answer. Unfortunately, Arun Sharma's book stated only 33 as the possible solution.

Regards
Sachin
i am getting 27 and 12 by which this can be divided....what is the answer given in the book?/

i think i have made a terrible mistake i took it as
16^15+2^15
is that correct or what is already written is correct....????


Hi

The question is correct. Though, it has many solutions.

Regards
Sachin
Two friends Shayam and kailash own two versions of a car. Shayam owns the diesel version of the car, while kailash owns the petrol version.
Kailashs car gives an average that is 20% higher than Shayams (in terms of litres per kilometre). It is known that petrol costs 60% of its price higher than diesel.
The ratio of the cost per kilometer of Kailashs car to Shayams car is
(a) 3:1 (b) 1:3(c) 1.92:1(d)Cant be determined

answer should be (c) for this but it's given as (a) in Arun Sharma..

puys pls clarify..

the answer is c 1.92:1

tejthekiran Says
the answer is c 1.92:1



thanks tethekiran...

can u pls temme the approach for the below qns also...
pls

Kailashs car gives an average that is 20% higher than Shayams (in terms of litres per kilometre). It is known that petrol costs 60% of its price higher than diesel.


2. If shyams car gives an avg of 20km/lit, then the difference in the cost of travel per km between the two cars is:
a. Rs4.3
b. Rs3.5
c. Rs 2.5
d. cant be determined.

3. For the above qn, the ratio of the cost per km of shyams travel to kailash travel is
a. 3:1
b. 1:3
c. 1:1.92
d. 2:1
e. cant be determined

4. If diesel costs Rs.12.5 per litre, then the difference in the cost of travel per km b/w Kailashs and shyams is (assume an avg of 20km/lit for shyams car and also assume that petrol is 50% of its own price higher than diesel)
a. Rs 1.75
b. Rs 0.875
c. Rs. 1.25
d. Rs 1.125
e. None of the above


tejthekiran Says
the answer is c 1.92:1


hey bro,,, i think ans shud be a)3:1

i think the mistake lies here... its given that petrol costs 60% of its price higher than diesel..

so let petrol price be x and diesel be y

so from gv data
we can say that

x - y = 60x/100

which gives y=2x/5

so if diesel costs 100 petrol costs 250.

so with this try for the first qn u get the ratio as 3:1..

correct me if am wrong,
thanks tethekiran...

can u pls temme the approach for the below qns also...
pls

Kailashs car gives an average that is 20% higher than Shayams (in terms of litres per kilometre). It is known that petrol costs 60% of its price higher than diesel.


2. If shyams car gives an avg of 20km/lit, then the difference in the cost of travel per km between the two cars is:
a. Rs4.3
b. Rs3.5
c. Rs 2.5
d. cant be determined.

3. For the above qn, the ratio of the cost per km of shyams travel to kailash travel is
a. 3:1
b. 1:3
c. 1:1.92
d. 2:1
e. cant be determined

4. If diesel costs Rs.12.5 per litre, then the difference in the cost of travel per km b/w Kailashs and shyams is (assume an avg of 20km/lit for shyams car and also assume that petrol is 50% of its own price higher than diesel)
a. Rs 1.75
b. Rs 0.875
c. Rs. 1.25
d. Rs 1.125
e. None of the above



I am getting 4.6 for 2nd one 😞
tejthekiran Says
I am getting 4.6 for 2nd one :(



bro in that case also ur doing the same mistake i did first.. even i got 4.6 initially.. but the solution cannot be determined for 2.

but 4.6 is wrong wrong answer..
correct wrong ans shud be 6.5 bro..

pls go thru my previous post.. is that correct?? are u satisfied with wat i ve said or is der anything wrong in my approach...




let the petrol price be x and diesel price be y.

from gv data

x-y = 60x/100

on solving we get
y=2x/5.
suppose y(diesel price) is 100 then petrol cost Rs.250

suppose shyam avg is 100l/km
then kailash avg is 120l/km

1. so reqd ratio is

(250 x 120) 3
------------- = ---
(100 x 100) 1

2. cannot be determined since the cost of petrol or diesel is not given in the data

3. same as qn.1
here we consider lit/km instead of km/lit

so for shyam it is 1/20 lit/km.
calculating for kailash which is 20% more than shyam we get 3/50

so ratio is (1/20 x 100)/(3/50 X 250)

which is 1:3

4. diesel price is given as 12.5 so petrol price is 25.
again for shyam km/lit is 1/20 and for kailash its 3/50.

diff is (12.5 x 1/20) - (25 x 3/50)

which is 0.875
correct me if i am wrong anywer