Quant by Arun Sharma

MBA CAT 2024
4603
In a village consisting of p persons,x% can read and write. Of the males alone y%, of the females alone z% can read and write. Find the number males in village in terms of p,x,y,z if z


This question has already been solved here :D
http://www.pagalguy.com/forum/quantitative-questions-and-answers/23813-quant-by-arun-sharma-47.html#post1077759
4604

Q1) If 1+2+3+4+5+6+7+8+9+10=100,the at least how many places you need to change '+' with '*' to make the equality hold good?
a)2 b)4 c)3 d)1 e)cannot be determined


Q2)Ten bags contain 10 coins each.All the coins look alike but coin in one bag weigh 1g less than that in other bags.What is the least number of weighings using a spring balance needed to identify the bag containing 9g coins?
a)1 b)2 c)3 d)4 e)5

If f(x)=sum of all the digits of x,where x is a natural number,then what is the value of f(101)+f(102)+f(103)+...+f(200)?
a)1000 b)901 c)999 d)1001 e)1111

4605

Q1) If 1+2+3+4+5+6+7+8+9+10=100,the at least how many places you need to change '+' with '*' to make the equality hold good?
a)2 b)4 c)3 d)1 e)cannot be determined


Q2)Ten bags contain 10 coins each.All the coins look alike but coin in one bag weigh 1g less than that in other bags.What is the least number of weighings using a spring balance needed to identify the bag containing 9g coins?
a)1 b)2 c)3 d)4 e)5

If f(x)=sum of all the digits of x,where x is a natural number,then what is the value of f(101)+f(102)+f(103)+...+f(200)?
a)1000 b)901 c)999 d)1001 e)1111

4606

Q1) If 1+2+3+4+5+6+7+8+9+10=100,the at least how many places you need to change '+' with '*' to make the equality hold good?
a)2 b)4 c)3 d)1 e)cannot be determined


Q2)Ten bags contain 10 coins each.All the coins look alike but coin in one bag weigh 1g less than that in other bags.What is the least number of weighings using a spring balance needed to identify the bag containing 9g coins?
a)1 b)2 c)3 d)4 e)5

If f(x)=sum of all the digits of x,where x is a natural number,then what is the value of f(101)+f(102)+f(103)+...+f(200)?
a)1000 b)901 c)999 d)1001 e)1111

4607


Q2)Ten bags contain 10 coins each.All the coins look alike but coin in one bag weigh 1g less than that in other bags.What is the least number of weighings using a spring balance needed to identify the bag containing 9g coins?
a)1 b)2 c)3 d)4 e)5



2) 3 weighing, for this type of questions 3^n>total no. of samples
Where n= min no. of weighing
So here 3^3>10 (3^2=9 won't hold as 9
4608

Q1) If 1+2+3+4+5+6+7+8+9+10=100,the at least how many places you need to change '+' with '*' to make the equality hold good?
a)2 b)4 c)3 d)1 e)cannot be determined


Q2)Ten bags contain 10 coins each.All the coins look alike but coin in one bag weigh 1g less than that in other bags.What is the least number of weighings using a spring balance needed to identify the bag containing 9g coins?
a)1 b)2 c)3 d)4 e)5

If f(x)=sum of all the digits of x,where x is a natural number,then what is the value of f(101)+f(102)+f(103)+...+f(200)?
a)1000 b)901 c)999 d)1001 e)1111

4609

plse answer this question

if x^2 + 2=2x

then value of

X^4-x^3 +x^2 +2

a)0
b)1
c)-1
d)under-root 2

4610

The roots to the equation x^2+ 2 =2x are 1+i & 1-i .

Put the value into the equation and you will get answer 0.

4611
plse answer this question

if x^2 + 2=2x

then value of

X^4-x^3 +x^2 +2

a)0
b)1
c)-1
d)under-root 2


x^4 - x^3 + x^2 + 2 = x^4 - x^3 + 2x
=> x*(x^3 - x^2 + 2)
=> x*(x^3 - 2x + 2 + 2)
=> x*(x^3 - 2x + 4)
=> x*(x*(2x - 2) - 2x + 4)
=> x*(2x^2 - 4x + 4)
=> 2x*(x^2 + 2 - 2x)
=> 2x*0
=> 0
4612
My take is 12%

Yar this question actually needs no calc.
100 in first 12% increase becomes 112.
in the next lets take 10% instead of 12, this wld make the sum arnd 123+ say 125.xx
in the next also 125.xx ka 10% will yield something aroung 150. which is very close to our result. hence 12%.

Waise even this is not required. when we look at the options the second least is 22%, in the first term the sum becomes 122. toh 3 times mein it wld go way over 150. Hence sidha 12% mark kardo.

Ps - Dont apply this method in very close options.

And if u want to go with a method then;
((100+x)/100)^3=140.49.
this can be solved with the help of options...12% satisfies the condition.

I would like to contribute something here.
In the above explanation i think the time wen ur applying the 10% on 125.XX Rupees..It shld be arnd 137.XX which is infact vry close to our need.....n nt 150.xx..
Hence it must b 12%.. Was jst correctng it..

PS. PLz correct if m wrong somewhere.. 😃
4613
2) 3 weighing, for this type of questions 3^n>total no. of samples
Where n= min no. of weighing
So here 3^3>10 (3^2=9 won't hold as 9

BUT the answer is a)1.
how????
4614

Q1)
A Rectangular floor if fully covered with sq tile of identical size.the tiles on the edges are white and the tiles in the interior are red. the number of white tiles is the same as the number of red tiles.a possible value of the number of tiles along on edge floor is
a)10 b)12 c)14 d)16

Q2)
A young girl counted in the following way on the fingers of her left hand.she started calling the thumb 1,the index finger2 the mid finger 3,ring finger 4,little finger 5,then reversed the direction,calling the ring finger 6,mid finger 7,index finger 8,thumb 9 then back to the index finger 10,mid finger 11 and so on. She counted up to 1994.she ended on
a)thumb b)index finger c)middle finger d)ring finger

4615

repeat post! Sorry.

4616
Q1)
A Rectangular floor if fully covered with sq tile of identical size.the tiles on the edges are white and the tiles in the interior are red. the number of white tiles is the same as the number of red tiles.a possible value of the number of tiles along on edge floor is
a)10 b)12 c)14 d)16

Q2)
A young girl counted in the following way on the fingers of her left hand.she started calling the thumb 1,the index finger2 the mid finger 3,ring finger 4,little finger 5,then reversed the direction,calling the ring finger 6,mid finger 7,index finger 8,thumb 9 then back to the index finger 10,mid finger 11 and so on. She counted up to 1994.she ended on
a)thumb b)index finger c)middle finger d)ring finger


Q.1 Let L and B be length and breadth resp. If you are excluding edges, you will get another rectangle inside which will have dimensions (L-2) and (B-2). Since the number of squares/tiles are equal, your equation will look like this

2*{(L-2)(B-2)} = LB
On solving, you get LB + 8 = 4L + 4B
I randomly put B = 5, that gave me 12 as answer.

Q.2 The picture looks like this:

1--2--3--4--5
9--8--7--6
T--10-11-12-13
17-16-15-14-L
T--18-19-20-21
25-24-23-22-L
T--26-27-28-29

So concentrate on 8,16,24. they come at the same position. So 1992 will end at the same place being a multiple of 8. 1993 will be Thumb and 1994 will be index finger.

Hope I am right.
4617


Q2)
A young girl counted in the following way on the fingers of her left hand.she started calling the thumb 1,the index finger2 the mid finger 3,ring finger 4,little finger 5,then reversed the direction,calling the ring finger 6,mid finger 7,index finger 8,thumb 9 then back to the index finger 10,mid finger 11 and so on. She counted up to 1994.she ended on
a)thumb b)index finger c)middle finger d)ring finger


My take is the index finger.

just concentrate on the thumb, the numbers traversed here wld be -> 1,9,17,25,....
these all number are of the form 8k+1.
8k+1 -> 1993 (hence on the thumb).
=> 1994 on the index finger.
4618

The average speed of a train is 20% less on the return journey than on the onward journey.The train halts for half an hour at the destination station before starting on the return journey.If the total time taken for the to and fro journey is 23 hours,covering a distance of 1000 km ,the speed of the train is

a)60 km/hr
b)40 km/hr
c)50 km/hr

pls expain with full approach.

4619
The average speed of a train is 20% less on the return journey than on the onward journey.The train halts for half an hour at the destination station before starting on the return journey.If the total time taken for the to and fro journey is 23 hours,covering a distance of 1000 km ,the speed of the train is

a)60 km/hr
b)40 km/hr
c)50 km/hr

pls expain with full approach.


Hey, its very simple. while coming the speed of the train is 20% less that means 80% of original speed. say original speed is x. hence speed in return journey will be 0.8x

To and for journey = 1000. Hence while going 500 km and while coming back 500 km.

hence, (500/x) + (500/0.8x) + 0.5 = 23

have considered speed in km/hr and time in hrs. solve the equation to get your answer.
4620
The average speed of a train is 20% less on the return journey than on the onward journey.The train halts for half an hour at the destination station before starting on the return journey.If the total time taken for the to and fro journey is 23 hours,covering a distance of 1000 km ,the speed of the train is

a)60 km/hr
b)40 km/hr
c)50 km/hr

pls expain with full approach.


My take is 50kmph.

The equation that we wld get is;

500/x + 500/0.8x + 0.5 = 23.

just solve for x. 50kmph will be the answer.
4621

Two trains move from station A and station B towards each other at the speed of 50 km/hr and 60 km/hr.At the meeting point,the driver of the second train felt that the train has covered 120 km more.What is the distance between A and B?

a)1320km
b)1100km
c)1200km
d)960km

pls do show the whole process.

4622
Two trains move from station A and station B towards each other at the speed of 50 km/hr and 60 km/hr.At the meeting point,the driver of the second train felt that the train has covered 120 km more.What is the distance between A and B?

a)1320km
b)1100km
c)1200km
d)960km

pls do show the whole process.


My take is 1320.

For A; d=50*t
For B; d+120=60*t
=> d = 600.
so total distance = d+d+120 = 1320.