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

In a chess tournament every person played one game with every other person in the group. The total number of games that men played between themselves exceeded those played by men with women by 18.If there were 4 women in the tournament, totally how many games were played in the tournament?(a) 112
Of the 200 candidates who were interviewed for a position at a call center, 100 had a twowheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a twowheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and
If the government has a fixed capital of$200 million in the Iron & Steel industry, which corresponds to 20.012% of its total investment as fixed capital, then how much did the government invest (in ` million)in Maruti Udyog Ltd., which forms 25%of the investment in the joint sector?(1US $ = `
If the variable is proportional to the number of employees and the production per employee, then for which of the following is the production highest?(a) Government (b) Private(c) Joint (d) Public
Which of the following sectors has the maximum fixed capital invested per factory?(a) Central (b) State(c) Central/State (d) Public
If the total workforce was 76 million, whereas the total value added was ` 225 million, then which of the following had the maximum value addition per worker?(a) Central (b) State(c) Central/State (d) Public
How many natural numbers are there which give a remainder of 41 after dividing 1997?(a) 2 (b) 4 (c) 6 (d) None of these.
In Fig. 2, ABCD is a cyclic quadrilateral and AB = 25 cm, BC = 39 cm, CD = 52 cm and AD = 60 cm. What is the diameter of the circle?(a) 60 cm (b) 65 cm (c) 72 cm (d) 78 cm
Let, N be an integer not divisible by 5.Which of the following numbers must leave 1 as the remainder when divided by 5?(a) N2 (b) N4(c) N6 (d) N
Likhit buys some items: buckets, mugs, glasses, pots and spoons. He bought at least five units of each of these. All the numbers bought are distinct and he does not buy anything else. Given that he bought the least number of buckets, the number of buckets he bought can be determined if the total
In a 100 m race, A beats B by 20 m, or 4 secs. What is the speed of A?(a) 5 m/s (b) 10 m/s(c) 6.25 m/s (d) None of these.
What is the profit or loss percentage?(a) 21% loss (b) 21% profit(c) 10% profit(d) No profit no loss.
Eleven oranges are bought for ` 10 and 10 oranges are sold for `
How many years would it take for a sum to grow from ` 1,250 to ` 10,000, if it is invested at 12.5% per annum simple interest?(a) 28 (b) 56(c) 48 (d) 70
When 98 is added to a perfect square, it gives another perfect square. How many such perfect squares are there?(a) 1 (b) 2(c) 3 (d) None of these.
How many amounts between ` 20 and ` 30, I cannot pay using these coins?(a) 2 (b) 3(c) 4 (d) None of these.
I have an unlimited supply of coins of the denominations ` 3, ` 6 and `
Six X’s have to be placed in the squares of the Fig. 1, such that each row contains at least one X(a) 28 (b) 26 (c) 36 (d) None of these.
Given: A = 265 and B = (264 + 263 + 262 + ... + 20), Which of the following is true?(a) A = B(b) B is larger than A by 1.(c) A is larger than B by 1.(d) Cannot be determined.
Likhit earns x% on the first ` 2,000 and y% on the rest of his income. If he earns` 700 from ` 4,000 income and ` 900 from` 5,000 income, find x%.(a) 20%(b) 15%(c) 25%(d) None of these.
Rahul mixes a solution ‘A’ having water and oil in the ratio 3:4 with another solution‘B’ having oil and turpentine in the ratio 5:6. How much solution ‘A’ and solution‘B’ should he mix, so that the amount of oil in the new mixture is 9 litre (consider all values are integers).(a)
Which of the following is inconsistent with the given conditions?(a) K serves with H(b) M serves with H(c) M, H and I serve together(d) F does not serve with G
If K, J and I serve on different committees, which one of the following must be true?(a) K serves with G(b) I serves on a committee of two(c) I serves on a committee of three(d) H serves on a committee of two
If the number of males related to Mintu Babu equals the number of females then which of the following can be true?(a) Mintu Babu has 4 children(b) Mintu Babu has 3 children(c) Mintu Babu has 1 child(d) Mintu Babu has 2 children
Out of all the relatives of Mintu Babu who could possibly be either older or younger than her, none are the same age or older, then, how many of Mintu Babu’s relatives must be younger than her?(a) less than 2(b) 2(c) 3(d) more than 3
If Mintu Babu’s relative U lives in a larger house than her relative S, then, all of the following may be true except:(a) S is U’s father(b) S is U’s mother(c) U is younger to S(d) S is younger to U
If four females and two males live in a house smaller than Mintu Babu’s brother, then, how many of Mintu Babu’s children are boys and girls respectively?(a) 1, 0 (b) 0, 1(c) 2, 1 (d) 1, 2
If K is parallel to I and K is 0.5 km south of J and 1 km north of G, then which two roads would be 0.5 km apart?(a) I and K(b) J and K(c) J and H(d) G and J
Which of the following possibilities would make two roads coincide?(a) L is 0.5 km north of I(b) C is 1 km west of D(c) D is 0.5 km east of A(d) E and B are 0.5 km apart
If road E is between B and C, then the distance between A and D is:(a) 0.5 km (b) 1 km(c) 1.5 km (d) 2 km
If E is between B and C, then which of the following is false?(a) D is 2 km west of A(b) C is less than 1.5 km from D(c) E is less than 1 km from A(d) D is less than 1 km from B
Which is essentially true?(a) E and B intersect(b) D is 2 km west of B(c) D is at least 2 km west of A(d) M is 1.5 km north of L
From the positions in the original figure, C and A move diagonally to the opposite corners and then one side each clockwise and anti-clockwise respectively. B and D move two sides each clockwise and anticlockwise respectively. Who is now at the north-west corner?(a) A (b) B(c) C (d) D
From the positions in the original figure, C and A move diagonally to the opposite corners and then one side each clockwise and anti-clock wise respectively. Where is A now?(a) At the north-west corner(b) At the north-east corner(c) At the south-east corner(d) At the south-west corner
From the original position, B and D move one and a half lengths of sides clockwise and anti-clockwise respectively.Which one of the following statements is true?(a) B and D are both at the mid-point between A and C(b) D is at the mid-point between A and C; and B is at the corner originally occupied
It is given that in one particular year no car is sold. Which of the following is most likely to be that year?(a) 2000 (b) 2001(c) 2003 (d) 2004
For what value of P, will the total number of cars sold in all the years be the least?(a) P = 30(b) P > 40(c) P = 40(d) Cannot be determined uniquely.
To find out the total number of cars sold in 2002 and 2003, we need the following:(a) Only the value of P(b) Value of P, A, B, C and D(c) Value of P, A, B, C, D and E(d) Cannot be determined.
I. If the value of P = 40, then in 2002 no car has been sold.II. If the value of P is given and it is not equal to 40, then the value of any three out of A, B, C, D and E is sufficient to find the value of the average price of all the cars sold in 2002.(a) Only I is true(b) Only II is true(c) Both
How many cars does the English businessman own?(a) 8 (b) 12(c) 4 (d) 20
The businessman of which country owns the maximum cars?(a) Argentina (b) Uruguay(c) Germany (d) Brazil
The businessman of which country donated to 24 institutions last year?(a) Argentina (b) Uruguay(c) Canada (d) Germany
The businessman of which country is staying in room number 106?(a) Argentina (b) Canada(c) Uruguay (d) Germany
How many institutions did the Argentinean businessman donate to last year?(a) 8 (b) 3(c) 18 (d) 24
In which room is the Brazilian businessman staying?(a) room number 102(b) room number 103(c) room number 104(d) room number 105
For how many teams could we determine the total points?(a) 4 (b) 5(c) 6 (d) 5 or 6(e) Cannot be determined.
The number of goals scored by A against I could be at the most:(a) 2 (b) 3(c) 4 (d) 5(e) 6
Find the total number of goals scored in the match between N and P.(a) 3 (b) 2(c) 0 (d) 4(e) Cannot be determined.
What was the total number of points scored by I?(a) 3 (b) 5(c) 6 (d) 7(e) Cannot be determined.
Which of the following matches was a draw?(a) I vs N(b) I vs S K(c) B vs N(d) B vs S K(e) None of these.
In Q.18, the shops of which other pairs, apart from X and Z are diagonally opposite to each other?(a) U and Y (b) V and U(c) V and W (d) Y and X(e) None of these.
In the above question, whose shop is between V and X?(a) Z (b) Y(c) W (d) U(e) Cannot be determined.
If X and Z get diagonally opposite shops and both these shops can never be at the extremes, then in how many ways can the be allotments of the shops done?(a) 2 (b) 4(c) 6 (d) 8(e) None of these.
If I and N play tag and four persons play cards, then the persons playing cards besides I and M are necessarily one of the following options:(a) J and K (b) J and N(c) K and N (d) K and O(e) None of these
If K plays the same two games as N plays, then which of the following is not true?(a) I plays cards (b) N plays cards(c) K plays baseball (d) N plays tag(d) None of these.
If Prince Atyachari scores 5 points in the 5th Round but Prince Hazari becomes the winner with the least possible total points, then what is the least possible points scored by Prince Hazari in the 3rd round?(a) 5 (b) 6(c) 7 (d) 8(e) Cannot be determined.
If Prince Hazari scores 2 points in the 3rd round. Then, which of the following statements is sufficient to decide the winner?I. Prince Atyachari scores the maximum possible points in the 5th round.II. Prince Juari scores the maximum possible points in the 3rd round.(a) Only I(b) Only II(c) Both I
If Prince Juari scores 5 points in the 3rd round and Prince Atyachari scores 4 points in the 5th round, then which of the following will definitely be false?(a) Prince Shikari is 1st in the overall standing(b) Prince Hazari is 2nd in the overall standing (c) Prince Atyachari is 3rd in the overall
Prince Juari won the competition and married the Princess. Also, Prince Bhikhari scored 28 points from the five rounds. Then which of the following could be false?(a) Prince Atyachari scores more points than Prince Hazari in round 4(b) Prince Shikari scores more points than Prince Hazari in round
Which one of the following is a pair of friends who cannot specialize in Marketing together?(a) H and G (b) D and B(c) D and G (d) H and A(e) B and G
What is the maximum number of friends who could specialize in Systems?(a) 2 (b) 3(c) 4 (d) 5(c) 6
If H and G both specialize in Systems, then which one of the following could be true?(a) E and A both specialize in Marketing(b) C and A both specialize in Systems(c) D and A both specialize in Marketing(d) B and C both specialize in Systems(e) D and E both specialize in Systems
If D specializes in Marketing then which one of the following must be true?(a) E specializes in Marketing(b) G specializes in Marketing(c) B specializes in Systems(d) C specializes in Systems(e) H specializes in Systems
Which one of the following could be a complete and accurate list of students who specialize in Systems?(a) D, E, C(b) H, A, G(c) B, H, C(d) B, A, G, C(e) D, B, H, G
What is the largest possible size of the panel?(a) 4 (b) 5(c) 6 (d) 5 or 6(e) Cannot be determined.
If Goel and Deshbandhu serve on a panel together, then which one of the following must be true?(a) Sinha does not serve on the panel(b) Bindra also serves on the panel(c) Raheja also serves on the panel(d) Kalyan also serves on the panel(e) Mahajan does not serve on the panel
If Sinha and Deshbandhu serve together on a panel, then exactly what would be the size of the panel?(a) One (b) Two(c) Three (d) Four(e) Five
If exactly three judges serve together on a panel, then each of the following must be true except:(a) Bindra and Kalyan both serve on the panel(b) Raheja and Deshbandhu both serve on the panel(c) Deshbandhu and Mahajan both serve on the panel(d) Kalyan and Deshbandhu both serve on the panel(e) Goel
What is the maximum number of judges who could serve on a panel that Raheja does not serve on?(a) Two (b) Three(c) Four (d) Five(e) Six
Which one of the following could be a complete list of the judges who serve together on one panel?(a) Goel, Kalyan, Raheja, Sinha(b) Goel, Mahajan, Deshbandhu, Raheja(c) Bindra, Kalyan, Mahajan, Deshbandhu(d) Bindra, Deshbandhu, Raheja, Sinha(e) Goel, Kalyan, Deshbandhu, Sinha
Which of the following is true?(a) Deeksha shot 5 balloons(b) Amar shot 8 balloons(c) Eshwar shot 1 balloon(d) Eshwar shot 6 balloons
Who shot an equal number of coins and balloons?(a) Amar (b) Binit(c) Charu (d) Deeksha
Which of the following is true?(a) Charu shot 8 balloons and 4 coins but no needle(b) The person who shot 5 balloons and one coin did not shoot any needle(c) The person who shot an equal number of balloons and coins also shot needles(d) The person who shot 4 balloons and 2 coins also shot needles
For how many countries is it possible to have the same ranks in all the three years?(a) 0 (b) 1(c) 2 (d) 3
What can be the minimum change in the rank of any country in 2006 with respect to its rank in 2004?(a) 0 (b) 1(c) 2 (d) 3
How many countries from the given countries in the table have definitely improved their ranking consistently every year during the given period?(a) 1(b) 2(c) 3(d) Cannot be determined.
What is the minimum value of D + E + F?(a) 8 (b) 9(c) 10 (d) 11
What is the maximum value of D + E + F?(a) 14 (b) 15(c) 16 (d) 17
What is the minimum value of A + B + C?(a) 11 (b) 12(c) 13 (d) 14
How many children are waiting at 9 a.m.for skating?(a) 90 (b) 110(c) 130 (d) 150
What is the maximum time taken by any member who went through all the three centres?(a) 110 minutes (b) 130 minutes(c) 150 minutes (d) 170 minutes
What is the difference between the number of women who took the maximum time and those who took the minimum time, respectively, for going through all the three centres?(a) 2 (b) 5(c) 18 (d) 23
What percentage of men out of the total number of men, went through all the three centres in the minimum possible time?(a) 2.5% (b) 5%(c) 7.5% (d) 10%
What is the number of children whose waiting time is 0, before entering the softball activity centre?(a) 1.1 (b) 2.6(c) 3.19 (d) 4.40
If the management information system manager is sitting just to the right of the production manager, which of the following statement(s) is/are definitely True?I. The marketing manager and the finance manager sit next to each other.II. The human resource manager has to be a woman.III. The
If the finance manager always has a woman to his right, in how many different arrangements can the marketing manager be a woman?(a) 2 (b) 3(c) 4 (d) 5
If the human resource manager is a man, which of the following is definitely not true?(a) The marketing manager is sitting in between the two women(b) The marketing manager is sitting in between two men(c) The finance manager is a man(d) The marketing manager is a woman
If Vinit did not pack any vests, then it could be true that he packed one or more:(a) Ties and jackets(b) T-shirts and belts(c) Ties and belts(d) T-shirts and ties
If Vinit packed at least one item, find out which one of the following are the minimum and the maximum numbers of the types of clothing that he could pack?(a) 1, 4 (b) 1, 5(c) 1, 6 (d) 2, 5
If Vinit packed as many different types of clothing as possible, then it must be true that he did not pack one of the following types of clothing.(a) belts (b) hats(c) ties (d) jackets
Which one of the following statements must be false?(a) Vinit packed exactly three items of clothing, one of which was a vest(b) Vinit packed exactly four items of clothing, one of which was a hat(c) Vinit packed exactly three items of clothing, one of which was handkerchief(d) Vinit packed exactly
If Vinit did not pack any handkerchiefs, what was the maximum number of the different types of clothing that he could pack?(a) Two (b) Three(c) Four (d) Five
Which one of the following could be a complete list of the clothing that my brother packed?(a) one belt, one T-shirt, one vest, two handkerchiefs(b) one belt, one tie, one T-shirt, three handkerchiefs(c) two belts, one ties, three T-shirts(d) one jacket, one T-shirt, two vests and one handkerchief
Who is Stuti married to?(a) Abhishek (b) Dayal(c) Franklin (d) Chandan
Who is Dayal married to?(a) Urmila (b) Varsha(c) Trupti (d) Rekha
Who is Rekha’s husband?(a) Chandan (b) Franklin(c) Bhushan (d) Dayal
Who is Abhishek’s wife?(a) Rekha(b) Urmila(c) Trupti(d) Cannot be determined.
If the total money won by A and D is equal to that of G and the difference between E and D is at least 1 lakh, then which of the following must be True?(a) A and B together won ` 3 lakhs(b) B and F together won ` 3.5 lakhs(c) C and E together won ` 3 lakhs(d) B and C together won ` 3.5 lakhs
If the difference in prize money between A and C is the least; which of the following pairs must not have won prize money that differs by the minimal amount?(a) B and E (b) C and G(c) D and G (d) A and E
If D won more than E, and B and G together won ` 3.5 lakhs, which of the following must be true?(a) D won ` 3.5 lakhs(b) A won ` 1.5 lakhs(c) B won ` 1.5 lakhs(d) C won ` 50,000

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