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Crack The Iim Indore Ipm Entrance Examination 2nd Edition North Academics (Author) - Solutions

A can work half as fast as B and C together.A and B together can work three times as fast as C. If all three of them complete a job in 15 days, how long would C take to complete the same work?(a) 45 days (b) 54 days(c) 60 days (d) 65 days
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?(a) 3 (b) 5(c) 7 (d) None of these.
If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is:(a) 2:1 (b) 3:1(c) 3:2 (d) 5:4
12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3
A, B and C can do a piece of work in 36, 54 and 72 days respectively. They started the work but A left 8 days before the completion of the work while B left 12 days before the completion. The number of days for which C worked is:(a) 4 (b) 8(c) 12 (d) 24
Due to some technical problem, only four pipes P1, P2, P3 and P4 are in working condition. These pipes are now paired up to obtain two pairs of pipes. Now it is found that one pair of pipe is taking 2/3rd of the time taken by the other pair to fill the tank independently. Which of the following is
How many pipes can fill the tank within 100 hours working alone?(a) 4 (b) 5(c) 6 (d) Infinite
What is the difference in the time taken by P5 and P6?(a) 32(b) 64(c) 128(d) Cannot be determined.
What time will P4 take to fill the tank working alone?(a) 8(b) 16(c) 32 (d) Cannot be determined.
If A is produced only on Machine M1 and B produced only on machine M2, then what is the unutilised time on M2 in a day, if A and B are produced in 1:1 ratio?(a) 20 minutes (b) 60 minutes(c) 150 minutes (d) None of these.
If A and B are produced in the ratio 3:1, then what is the maximum total of products A and B that can be produced in a day?(a) 120 (b) 160(c) 116 (d) None of these.
How much water does one of the first three pumps emit in an hour?(a) 1.5 m3 (b) 2.4 m3(c) 3.3 m3 (d) 4.2 m3
What is the volume of the tank?(a) 1.60 m3 (b) 2.80 m3(c) 3.75 m3 (d) 4.90 m3
There are 12 pipes connected to a tank. Some of them are fill pipes and the others are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain completely in 6 hours. If all the pipes are kept open, an empty tank gets filled in 24 hours.How many of the
A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn, i.e., first day A does it alone, second day B alone and third day C alone.After that the cycle is repeated till the work is finished. They get ` 240 for this job. If the wages are divided in
A tank with capacity T litres is empty. If water flows into the tank from pipe X at the rate of X litres per minute and water is pumped out by pipe Y at the rate of Y litres per minute and X > Y, then in how many minutes will the tank be filled?(a) T/(Y – X) (b) T/(X – Y)(c) (T – X) Y (d) (X
A man works twice as fast as a woman. A woman works twice as fast as a child. If 16 men can complete a job in 12 days, how many days would be required for 32 women and 64 boys together to complete the same job?(a) 2 days (b) 3 days(c) 4 days (d) 6 days
A + B can do a work in 10 days where as B + C can do the same work in 8 days. Who is most efficient among the three?(a) A(b) B(c) C(d) Cannot be determined.
A does 4/5 of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?(a) 23 days (b) 37 days(c) 37½ days (d) 40 days
X and Y can do a piece of work in 20 days, and 12 days respectively. X started the work alone and then after 4 days, Y joined him till the completion of the work. In how many days the whole work is complete?(a) 6 days (b) 10 days(c) 15 days (d) 20 days
A and B can complete a work in 15 days and 10 days respectively. They stared doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:(a) 8 days (b) 10 days(c) 12 days (d) 15 days
A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 40 days. Then A, B and C together can do the work in:(a) 13⅓ days (b) 15 days(c) 20 days (d) 30 days
A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is:(a) 11 (b) 21(c) 28 (d) 42
A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. In how many days A and C together will do the same work?(a) 4 days (b) 6 days(c) 8 days (d) 12 days
A group of 18 men and 12 women can do a work in 18 days. A woman takes twice as much time as a man to do the work. How many days will 8 men take to finish the same work?(a) 45 (b) 48(c) 54 (d) None of these.
40 persons can finish a work in 60 days. If 40 persons start the work and at the end of every 10 days 40 more persons of the same efficiency join them, then how long will it take for the work to be completed?(a) 30 days (b) 20 days(c) 40 days (d) None of these.
A and B can complete a work in 15 days.A is 50% more efficient than B. How long would A take to complete the work working alone?(a) 20 days (b) 22 days(c) 24 days (d) None of these.
If 35 persons can do a piece of work in 6 days, in how many days can 15 persons do it?(a) 12 (b) 14(c) 16 (d) 18
A can do half as much work as B in one day.B alone can do a certain work in 12 days.In how many days can A and B together finish that work?(a) 6 days (b) 7 days(c) 8 days (d) None of these.
Shahid Bhai can do 2/3rd of work in 18 days.In how many days can he finish 1/4th of the work?(a) 6½ (b) 6.75(c) 6 (d) 13.5
Munchun can do a work in 20 days and Chunmun alone can do it in 10 days. Both worked together and were paid ` 1,800.The share of Chunmun is(a) ` 1,200 (b) ` 1,500(c) ` 900 (d) None of these
Harveen can do a piece of work in 18 days.He worked for 12 days and left. Deepak finished the remaining work in 8 days. In how many days can Deepak alone complete the work?(a) 21 (b) 22(c) 23 (d) 24
N men can do a piece of work in 8 days.The same work can be done by (N + 4) men in 6 days. Find the value of N.(a) 10 (b) 12(c) 14 (d) None of these.
Sanjay can wash a truck in 45 minutes and he works for six hours a day. How many trucks can he wash in three days?(a) 24 (b) 12(c) 21 (d) 15
Pipe A can fill an empty tank in eight hours and pipe B can empty the full tank in four more hours. If both the pipes are opened simultaneously, then how long would it take to fill an empty tank?(a) 12 hours (b) 24 hours(c) 18 hours (d) 30 hours
A tap can fill an empty tank in 12 hours and a leakage can empty half the tank in 10 hours. If tap and leakage are working when the tank is empty, then how long would it take for the tank to be filled to half its capacity?(a) 60 hours (b) 30 hours(c) 15 hours (d) 12 hours
Efficiency of Ravi and Mayank of doing the same work is 3:2. If they together can complete a work in 18 days, then in how many days Ravi can complete the work alone?(a) 45 (b) 30(c) 24 (d) 40
Aftab can do a piece of work in 12 days and Ravi can do the same work in 18 days.If Aftab starts the work and quits after working for three days, then in how many days will the remaining work be completed by Ravi alone?(a) 13½ (b) 9(c) 16½ (d) 12
The average of 38, 84, 63, 45, 32, n lies between 50 and 60.If n is an integer greater than the average of the above numbers, then n lies between(a) 53 < n < 97 (b) 50 < n < 100(c) 52 < n < 98 (d) None of these.
First ten multiples of 1, 2, ... 10 are taken. What is the average of all these 100 numbers?(a) 25.5 (b) 50.5(c) 75.5 (d) None of these.
Average of 10 two digit positive integer is Z. However one number AB is taken as BA, then the average increases to Z + 2.7.What is the value of |B – A|?(a) 1 (b) 2(c) 3 (d) 4
One out of five weights A, B, C, D and E is of different weight. A person makes a measurement and finds the following:A + B = C + D + E Which of the following you should know to find out which one is of different weight?(a) A + C > B + D + E(b) A + D + E < B + C(b) A + B + C > D + E(d) A + C < B +
If the average of m numbers isa, and on adding x to the m numbers, the average of the (1 + m) numbers isb, then find the value of x.(a) m (b –a) + b (b) m (b +a) + a(c) m (a –b) + a (d) None of these.
If 2 students whose ages were 30 years and 20 years left, by what value would the average of the remaining increase? (use the result from question 13)(a) 20 9 (b) 2(c) 20 11 (d) None of these.
If a student whose age was 25 is absent from the class, the average of those present went up by 1.How many students are there in the class originally?(a) 9 (b) 10(c) 11 (d) 12
Saketprakash married ten years ago at the age of 27 years. His wife was 23 years old then.Six years after their marriage the average age of Saketprakash, his wife and their son was 22 years. After how many years of Saketprakash’ marriage, he got his son?(a) 6 years (b) 3 years (c) 2 years (d) 4
I went to a hotel along with 12 friends of mine. I paid ` 145 and all the others paid an equal amount. In the end when we did some calculations, we found that the average sum paid by all of us was ` 5 more than what was originally paid by each of my friends. How much money did each of my friends
A milkman sells his mixture of milk and water at the cost price of milk itself and thus he gains a profit of 20%. What is the ratio of milk and water in the mixture?(a) 4:1 (b) 5:1(c) 1:4 (d) None of these.
A shrewd milkman mixes water and milk in the ratio 2:3. What part of this mixture should be removed and replaced with water so that the solution contains water and milk in the ratio 1:1?(a) 1 6 (b) 1 4(c) 1 3 (d) 1 2
Parul Jaiswal has ` 11,200 in ` 100 and` 500 notes. What is the ratio of the number of notes of the two types, if she has a total of 40 notes with her?(a) 3:2 (b) 7:3(c) 8:7 (d) 11:9
In what ratio must a quality of sugar at` 15.50/kg be mixed with another quality of sugar at ` 21.80/kg so that selling the mixture at ` 20.02/kg results in 10% profit?(a) 5:4 (b) 3:2(c) 2:1 (d) 4:3
3 litres of pure milk is added to 10 litres of a milk solution containing 9% milk. Find the concentration of the resultant solution.(a) 33 1 3 % (b) 40%(c) 50% (d) 30%
2 litres of pure spirit is added to 6 litres of a spirit solution containing 16 23% spirit.What is the concentration of spirit in the resultant solution?(a) 12.5%(b) 25%(c) 37.5%(d) None of these.
A beggar is having 50 coins with an amount of ` 15 in denominations of 25 paise and 50 paise. How many 25 paise coins are there with the beggar?(a) 36 (b) 40(c) 30 (d) 25
In what ratio must 35% spirit solution be mixed with pure spirit to get a resultant solution of 56% spirit?(a) 35:44 (b) 44:21(c) 8:3 (d) 56:9
The average sum with 10 girls is ` 45.When two more girls join, the average increases by ` 2.Find the average sum of the two new girls.(a) ` 57 (b) ` 54(c) ` 48 (d) None of these.
In a preparatory school, the average weight of 30 girls in a class of 50 students is 16 kg and that of the remaining students is 15.5 kg.What is the average weight of the all the students in the class (Class comprises of boys and girls only)?(a) 15.2 kg (b) 15.8 kg(c) 15.4 kg (d) None of these.
In a class of 60 students, the average height of 30 students is x cm and that of the remaining students is y cm. Find the average height of the whole class.(a) (x + y) cm(b) 30 cm(c) x y +2 cm(d) None of these.
The average of five numbers is 39.20 and the average of three of these numbers is 41.Find the average of the remaining two numbers.(a) 35.5 (b) 36.5(c) 37.5 (d) 38.5
The average salary of all the workers in a workshop is ` 8,000. The average salary of 7 technicians is ` 12,000 and the average salary of the rest is ` 6,000. The total number of workers in the workshop is:(a) 20 (b) 21(c) 22 (d) 23
Ramesh goes from A to B at a speed of 40 km/h and comes back with a speed of N km/h. During his whole journey, his average speed = 80 km/h. What is the value of N?(a) 120 (b) 140 years(c) 250 years (d) None of these.
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years.The present age of the husband is:(a) 35 years (b) 40 years(c) 50 years (d) None of these.
A motorist travels to a place 150 km away at an average speed of 50 km/h and returns at 30 km/h. His average speed for the whole journey in km/h is:(a) 35 (b) 37(c) 37.5 (d) 40
The average of five consecutive numbers is n. If the next two numbers are also included, the average will:(a) remain the same (b) increase by 1(c) increase by 1.4 (d) increase by 2
The average weight of 45 students in a class is 52 kg. Five of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?(a) 52⅓ (b) 52½(c) 51⅔ (d) None of these.
The average monthly salary of 20 employees in an organization is ` 1,500. If the manager’s salary is added, then the average salary increases by ` 100.What is the manager’s monthly salary?(a) ` 2,000 (b) ` 2,400(c) ` 3,600 (d) ` 4,800
Arithmetic mean of 50 numbers is 35.If each number is increased by 5, then the average of new numbers is(a) 30 (b) 40(c) 70 (d) 90
Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is(a) 15 (b) 45(c) 48 (d) 60.25
Average of ten positive numbers is x. If each number is increased by 20%, then x(a) remains unchanged(b) decreases by 20%(c) increases by 20%(d) increases by 10%
The average price of three items of furniture is ` 15,000. If their prices are in the ratio 3:5:7, the price of the cheapest item is(a) ` 9,000 (b) ` 15,000(c) ` 18,000 (d) ` 21,000
The average of 50 numbers is 30.If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly(a) 28.32 (b) 28.78 (c) 29.27 (d) 29.68
The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then(a) x = y + z (b) 2x = y + z(c) x = 2y + 2z (d) None of these.
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weight of all the boys in the class.(a) 47.55 kg (b) 48 kg(c) 48.55 kg (d) 49.25 kg
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is(a) 282(b) 285.6(c) 285(d) Cannot be determined.
The sum of three consecutive odd numbers is 38 more than the average of these numbers. What is the first of these numbers?(a) 13 (b) 17(c) 19 (d) 21
The average of 7 consecutive natural numbers is 20.The largest of these numbers is(a) 20 (b) 22(c) 23 (d) 24
Ifa, b,c, d, e are five consecutive odd numbers, their average is:(a) 3 (a + 4)(b) abcde/5(c) 5 (a + b + c + d + e)(d) None of these.
A milkman professes to sell milk at its CP only. But still he is making a profit of 20%, since he has mixed some amount of water in milk. What is the percentage of milk in the mixture?(a) 80% (a) 83.33%(c) 75% (d) 66.66%
A trader sells two cows in such a way that CP of first cow is equal to the SP of second cow, and SP of first cow is equal to the CP of second cow. Which of the following is final result after the whole transaction?(a) There is a loss.(b) There is a profit.(c) No profit, no loss.(d) Cannot be
Due to a price hike of 20%, 4 kgs less tea is available for ` 120.What is the original price of tea?(a) ` 4 per kg (b) ` 5 per kg(c) ` 6 per kg (d) ` 4.5 per kg
CP of 40 articles is equal to the SP of 30 articles. What is the profit/loss percentage?(a) 25% profit (b) 33.33% profit(c) 25% loss (d) 33.33% loss
Buy three, get one free. What is the percentage discount being offered here?(a) 33.33% (b) 25%(c) 20% (d) 28.56%
Sum of CPs of two cows is ` 13,000. Both the cows are sold at a profit of 20% and 40% respectively with their SPs being the same. What is the difference of CPs of both the cows?(a) ` 1,000 (b) ` 2,000(c) ` 1,500 (d) ` 2,500
100 kgs of gold are purchased for ` 1,100.It is sold in such a way that after selling the whole quantity, the quantum of loss is equal to the amount obtained by selling 20 kgs of gold. What is the selling price?(a) ` 9.16 (b) ` 18.32(c) ` 11.11 (d) ` 25
A shopkeeper wants to earn a profit of 20% and at the same time, the minimum discount which he wants to offer is 25%.What should be the minimum percentage mark-up over CP?(a) 50% (b) 42.5%(c) 62.5% (d) 35%
A car is sold for ` 2,400 at a profit of 20% over SP. What is the actual profit percentage?(a) 16.66% (b) 25%(c) 21.21% (d) 14.28%
A car is sold for ` 2,400 at a profit of 20%over SP. What is the CP?(a) ` 2,000 (b) ` 1,920(c) ` 1,980 (d) ` 1,800
A car is sold for ` 2,400 at a profit of 20%.What is the CP?(a) ` 2,100 (b) ` 2,000(c) ` 1,800 (d) ` 2,200
Now, shopkeeper wishes to lessen the percentage of discount by clubbing any two layers. Which two layers should be clubbed so that discount is minimized by maximum percentage?(a) 1st + 2nd (b) 2nd + 3rd(c) 3rd + 4th (d) None of these
For how many of these discount layers, discount percentage offered is more than 50%?(a) 4 (b) 27(c) 99 (d) None of these
Some olives are purchased at the rate of 8 olives per ` 1, and same number of olives at the rate of 6 olives per ` 1.Now, the whole quantity is sold at the rate of 7 olives per ` 1.What is the net percentage of profit/loss?(a) 0.6% profit(b) 0.6% loss(c) 1.2% loss(d) No profit/no loss.Direction for
Some mangoes are purchased at the rate of 8 mangoes per ` 1, and some more mangoes at the rate of 6 mangoes per ` 1, investment being equal in both the cases. Now, the whole quantity is sold at the rate of 7 mangoes per rupee. What is the net percentage of profit/loss?(a) 0.6% profit(b) 0.6%
A shopkeeper marks up his goods by 20%and then gives a discount of 20%. Besides he cheats both his supplier and customer by 100 gms, i.e., he takes 1,100 gram from his supplier and sells only 900 gms to his customer. What is his net profit percentage?(a) 24.5% (b) 17.33%(c) 25% (d) 32.5%
Sunny marks up his goods by 40% and gives a discount of 10%. Apart from this, he uses a faulty balance also which reads 800 gms for 1,000 gms. What is his net profit/loss percentage?(a) 8% (b) 57.2%(c) 37.6% (d) None of these
How many values for actual SP is/are possible?(a) 1 (b) 0(c) 3 (d) Infinite
What is the profit % in original case?(a) 20%(b) 28.56%(c) 14.28%(d) Cannot be determined.
What is the actual CP?(a) ` 70(b) ` 100(c) ` 140(d) Cannot be determined.
A shopkeeper sells 25 articles at ` 45 per article after giving 10% discount on marked price and earns 50% profit. Had there been no discount, profit percentage would have been:(a) 60% (b) 60⅔%(c) 66% (d) 66⅔%
A shopkeeper sells his articles at 10%profit. Besides, he sells only 900 gms at the place of 1,000 gms. What is his net profit percentage?(a) 20 (b) 21(c) 22.22 (d) 18.18
CP of an article is 40% of the SP. The percentage that the SP is of CP is:(a) 250 (b) 240(c) 60 (d) 40

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