Quant by Arun Sharma

MBA CAT 2024
2158
A man buys spirit at Rs 60/litre,adds water to it and then sells it at Rs75/litre.what is the ratio of spirit to water if his profit in the deal is 37.5%
1)9:1
2)10:1
3)11:1
4)none
Please provide detail solution.

The answer should be 10:1 (option 2).

Since by selling the mixture at Rs. 75, he gains 37.5%, his cost of the mixture is = 75/1.375 = 54.55

Checking by options, if we use 10:1, the cost per unit comes out to be = (10*60 + 1*0)/11 = 600/11 = 54.55

Thus, option 2 is the answer.
2159

HI Puys..

Am doing time speed and distance .. Please clear these doubts

1. Vinay fires two bullets from the same place at an interval of 12 mins but raju sitting in a train approaching the place hears the second report at 11 mins 30 secs after the first. What is the appr.speed of train? speed of sound is 330 m/s
2. A train takes 2 h less for a journey of 300 kms if its speed is increased by 5 kmph over its usual speed? What is the usual speed?
3. A plane left half an hour later than the sheduled time in order to reach its destination 1500 kms away in time,it had to increase its speed by 33.33 percent over the usual speed. Find increased speed
4. A person traveelled a distance of 200 kms btw two cities by a car overing the first quarter at a const speed of 40 km/h and the remng three quarter at a const speed of x km/h. I f the avg speed of person fpr entire journey wast 53.33 what is the value of x


5. In a 100 m race shyam runs at 1.66 m/s. If hsyam gives sujit a start of 4m and still beats him by 12 seconds, what is sujits speed


6. At a game, A gives B 15 pts in 60 ,A gives 6 20 pts in 60 . Hw mch does B gives C in 90


7. In a 500 m race the ratio of speed of two runners a and b is 3:4. If A has a start of 140 m, A wins by?


Please give the method to solve.

2160

Hi..

2. A train takes 2 h less for a journey of 300 kms if its speed is increased by 5 kmph over its usual speed? What is the usual speed? A:25
3. A plane left half an hour later than the sheduled time in order to reach its destination 1500 kms away in time,it had to increase its speed by 33.33 percent over the usual speed. Find increased speed A:248 ...this is difference tht i posted...ANS REQUIRED is 998~1000
4. A person traveelled a distance of 200 kms btw two cities by a car overing the first quarter at a const speed of 40 km/h and the remng three quarter at a const speed of x km/h. I f the avg speed of person fpr entire journey wast 53.33 what is the value of x A:60


5. In a 100 m race shyam runs at 1.66 m/s. If hsyam gives sujit a start of 4m and still beats him by 12 seconds, what is sujits speed A:1.32 m/s


6. At a game, A gives B 15 pts in 60 ,A gives 6 20 pts in 60 . Hw mch does B gives C in 90 NOT CLEAR


7. In a 500 m race the ratio of speed of two runners a and b is 3:4. If A has a start of 140 m, A wins by? A:20m
Plz Post OA

2161

can anyone tell how to solve ques no 42,43 in Lod-II in chpter 2

2162
sumit439 Says
can anyone tell how to solve ques no 15,26,27 in Lod-II in chpter 2

Please post the questions here so that people who don't have the book could help you in getting the solution.
2163

1)A man earns x% on the first 2000 rupees and y% on the rest of his income.If he earns Rs 700 from Rs 4000 and Rs 900 from Rs 5000 of income.Find x
a)20 b)15c)25

2)An express train travelling at 80kmph overtakes a goods traain,twice as long and going at 40kmph on a parallel track,in 54 sec.How long will the express train take to cross a stattion 400m long?
a)36sec b) 45s c)27s d)none

2164
1)A man earns x% on the first 2000 rupees and y% on the rest of his income.If he earns Rs 700 from Rs 4000 and Rs 900 from Rs 5000 of income.Find x
a)20 b)15c)25

2)An express train travelling at 80kmph overtakes a goods traain,twice as long and going at 40kmph on a parallel track,in 54 sec.How long will the express train take to cross a stattion 400m long?
a)36sec b) 45s c)27s d)none

1. Going by the options, answer is (b), 15%.

Earning Rs. 700 from Rs. 4000: 15% on 2000 = 300
y% on (4000-2000) = (700-300). Thus, y = 20%

Earning Rs. 900 from Rs. 5000: 15% on 2000 = 300
20% on (5000-2000) = 600.

Hence proved 😃 This can be done algebraically too, but it's easier to work through the options in this case.

2. Speed of express train = 80 x 5/18 = 200/9 m/sec
Of goods train = 40 x 5/18 = 100/9 m/sec

Thus, distance covered in 54 sec = (200/9-100/9) x 54 = 600 m

Since the goods train is twice the length of the express train,
Length of express train = 200 m
Of goods train = 400 m

Thus, for the express train to cross a station of 400 m length, it needs to cover a total of 400+200 = 600 m, which can be don in 600/(200/9) = 27 sec. Hence, answer is (c).
2165

1)Assume that equal number of people are born on each day.Find approx. the % of people whose birthday will fall on 29th feb.
a)0.374
b)0.5732
c)0.0684
d)none

2)A dealer offers a cash discount of 20% and still makes a profit of 20%,when he further allows 16 articles to a dozen.How much % above the cost price were his wares listed?
a)100%
b)80%
c)75%
d)662/3%

2166
1)Assume that equal number of people are born on each day.Find approx. the % of people whose birthday will fall on 29th feb.
a)0.374
b)0.5732
c)0.0684
d)none

2)A dealer offers a cash discount of 20% and still makes a profit of 20%,when he further allows 16 articles to a dozen.How much % above the cost price were his wares listed?
a)100%
b)80%
c)75%
d)662/3%





a) is it 0.0684
2167
1)Assume that equal number of people are born on each day.Find approx. the % of people whose birthday will fall on 29th feb.
a)0.374
b)0.5732
c)0.0684
d)none

2)A dealer offers a cash discount of 20% and still makes a profit of 20%,when he further allows 16 articles to a dozen.How much % above the cost price were his wares listed?
a)100%
b)80%
c)75%
d)662/3%

1. Am not the person to work on questions of probability :|

2. Working with options again, we find that the answer is option (a), 100%.

Let price of article be Rs. 100, then 100% above would mean that it's listed at Rs. 200. Now, 20% discount on Rs. 200 = Rs. 160.

Since 16 pieces are given at the price of 12 pieces, or just simplifying, 4 pieces are given at the price of 3 pieces, thus, price of 4 pieces = 160 x 3 = Rs. 480, i.e. per piece price of 480/4 = 120

Thus, the shopkeeper gets Rs. 120 per piece for a cost of Rs. 100, thus 20% profit 😃
2168

i bought 10 pens ,14 pencils,4 erasers. my frend bought 12 pens, 28 pencils, 8 erasers. He paid half more than what i paid.
How much percentage of my amount i paid corresponds to pens?

2169
i bought 10 pens ,14 pencils,4 erasers. my frend bought 12 pens, 28 pencils, 8 erasers. He paid half more than what i paid.
How much percentage of my amount i paid corresponds to pens?

1st equation:
10P + 14p + 4E = 160 (can assume any value, I assumed total as 160)

2nd equation:
12P + 28p + 8E = 240 (160 x 1.5 = 240)

1st x 2 = 20P + 28p + 8E = 320

Subtracting 2nd from this equation,

8P = 80
P = 10

Thus, putting in the 1st equation, the cost of pens is 10P = 10 x 10 = 100

Thus, %age is 100/160 = 62.5 %

Hope you understood.
2170

here s another qs.
in an exam 80% students passed physics, 70% students passed in chemistry,
15% failed in both. If 325 students passed both. The total number of students who appeared in the exam are... options:1)500 2)400 3)300 4)600

2171

n an exam 80% students passed physics, 70% students passed in chemistry,
15% failed in both. If 325 students passed both. The total number of students who appeared in the exam are... options:1)500 2)400 3)300 4)600

answer: 1) 500

2172

There are 5 different integers,such that when two of them taken at a time and added,the sum of 10 are 15 ,7 ,0 ,18 ,23, 8 ,3 , 16 ,11 ,29.

Find the 2nd highest number?
options:
a.7
b. 13
c. 4
d. 10
e. none of these.

Please give detailed explanation..

2173
How to solve question like 5 100 and 2 200 which is greatest?
2174
vishal_halbe Says
How to solve question like 5 100 and 2 200 which is greatest?


I guess its 5^100 and 2^2000

Soln : 2^200 can be re-written as 2^100 * 2^100 ie. 4^100

Now comparing 4^100 and 5^1000 , we get 5^100 as the greatest.

Logic used : Try to euqate the exponents as same (here,100) by changing the base number so that comparison can be made easily .
2175
here s another qs.
in an exam 80% students passed physics, 70% students passed in chemistry,
15% failed in both. If 325 students passed both. The total number of students who appeared in the exam are... options:1)500 2)400 3)300 4)600

n an exam 80% students passed physics, 70% students passed in chemistry,
15% failed in both. If 325 students passed both. The total number of students who appeared in the exam are... options:1)500 2)400 3)300 4)600

answer: 1) 500


Soln : N(A U B) = N(A) + N(B) - N(A ^ B) ^ stands for intersection here
100 - 15 = 80 + 70 - N(A ^ B) (as 15 failed in both)
N(A ^ B) = 35

Since , 100 - 35 = 65% student passed ie. 325

65% corresponds to 325
100% corresponds to 500

Answer is 1) 500
2176

thanks vivek...very helpful

2177
There are 5 different integers,such that when two of them taken at a time and added,the sum of 10 are 15 ,7 ,0 ,18 ,23, 8 ,3 , 16 ,11 ,29.

Find the 2nd highest number?
options:
a.7
b. 13
c. 4
d. 10
e. none of these.

Please give detailed explanation..

Is the answer 10?