*EIL Management Trainee Quantitative Aptitude Question Paper.*

1. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture?

Ans. Brand A needed is 24kgs.

2. A wizard named Nepo says “I am only three times my son’s age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old.” How old is Nepo?

Ans. 360 years old.

3. One dog tells the other that there are two dogs in front of me. The other one also shouts that he too had two behind him. How many are they?

Ans. Three.

4. A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?

Ans. Eight.

5. If it takes five minutes to boil one egg, how long will it take to boil four eggs?

Ans. Five minutes.

6. Three containers A, B and C have volumes a, b, and c respectively; and container A is full of water while the other two are empty. If from container A water is poured into container B which becomes 1/3 full, and into container C which becomes 1/2 full, how much water is left in container A?

7. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE?

Ans. AE = 10.

8. In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC?

Ans. BC = 4 cm.

9 Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.

Ans. 64/2210.

10. A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ?

Ans. 991.

11. If Log2 x – 5 Log x + 6 = 0, then what would the value / values of x be?

Ans. x = e2 or e3.

12. The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. The ten’s place of the original number is equal to twice the difference between its digits. What is the number?

Ans. 46

13.Can you tender a one rupee note in such a manner that there shall be total 50 coins but none of them would be 2 paise coins.?

Ans. 45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins.

14.A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top?

Ans.18 hours.

15. What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12

Ans. 9

16. The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much a day does the clock gain or lose?

Ans. 32 8/11 minutes.

17. Solve for x and y: 1/x – 1/y = 1/3, 1/x2 + 1/y2 = 5/9.

Ans. x = 3/2 or -3 and y = 3 or -3/2.

18. Daal is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?

Ans. 20 %.

19. Find the least value of 3x + 4y if x2y3 = 6.

Ans. 10.

20. Can you find out what day of the week was January 12, 1979?

Ans. Friday.

21. A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed?

Ans. 1700 men.

22. From 5 different green balls, four different blue balls and three different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball?

Ans. 3720.

23. Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?

Ans. 167 minutes.

24. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?

Ans. 3 hours 20 minutes.

25. Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?

Ans.46 steps.

1. six members of a familyare travelling these are a,b,c,d,e, and f. b is the son of c but c is not mothers of b. a and c are a married couple, e is the brother of c. d is the daughter of a. f is the brother of b.

who is the wife of e:

(a) a

(b)f

(c)b

(d) cant be determined

2.six members of a familyare travelling these are a,b,c,d,e, and f. b is the son of c but c is not mothers of b. a and c are a married couple, e is the brother of c. d is the daughter of a. f is the brother of b.

which of following is pair of female

(a)ae

(b)bd

(c)df

(d)ad

3. six members of a familyare travelling these are a,b,c,d,e, and f. b is the son of c but c is not mothers of b. a and c are a married couple, e is the brother of c. d is the daughter of a. f is the brother of b.

how is e related to d:

(a) father

(b)brother

(c)uncle

(d)none of these

4.there is a group of five teachers a,b,c,d and e

– b and c teaches maths and geography

– a and c teach maths and history

– b and d teach political science and geofraphy

– d and e tech political science and biology

– e teaches biology, history, and political science

who teaches political science, geography and biology

(a)e

(b)d

(c)c

(d)b

5. there os a group of five teachers a,b,c,d and e

– b and c teaches maths and geography

– a and c teach maths and history

– b and d teach political science and geofraphy

– d and e tech political science and biology

– e teaches biology, history, and political science

who teaches in mathematics, political science and geography:

(a) a

(b)b

(c)d

(d)e

6. there os a group of five teachers a,b,c,d and e

– b and c teaches maths and geography

– a and c teach maths and history

– b and d teach political science and geofraphy

– d and e tech political science and biology

– e teaches biology, history, and political science

who teaches maths, geography and history

(a) c

(b)e

(c)a

(d)b

7. there os a group of five teachers a,b,c,d and e

– b and c teaches maths and geography

– a and c teach maths and history

– b and d teach political science and geofraphy

– d and e tech political science and biology

– e teaches biology, history, and political science

who teaches maths, geography and history

(a) e

(b)a

(c)d

(d)c

8.there os a group of five teachers a,b,c,d and e

– b and c teaches maths and geography

– a and c teach maths and history

– b and d teach political science and geofraphy

– d and e tech political science and biology

– e teaches biology, history, and political science

who teaches political science, history and biology

(a)a

(b)b

(c)c

(d)e

9.1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

how is ravi related to raju

(a)brother

(b)uncle

(c)cousin

(d)maternal uncle

10.1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

how ravi related to ashok

(a)maternal uncle

(b)cousin

(c)brother in law

(d)father in law

11.1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

how is ram related to suresh:

(a)brother

(b)cousin

(c)uncle

(d)brother in law

12. 1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

what is the surname of sanjay:

(a) chawla

(b) chopra

(c) khanna

(d) suresh

13. 1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

how is ram related to rita:

(a) brother

(b) uncle

(c) maternal uncle

(d) cousin

14. 1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

renu is sanjay’s ———-

(a) sister

(b)sister in law

(c)aunty

(d)cousin

15. 1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

raju’s sur name is:

(a) chawla

(b)khanna

(c)chopra

(d)none of these

16. 1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

sumit and suresh are related as:

(a) brother in law

(b)cousin

(c)brother

(d)uncle

17. 1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

how sonu related to ravi.

(a) brother

(b)brother in law

(c)nephew

(d)father

18.1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

how garima is related to mr. & mrs. khanna:

(a)daughter

(b)neice

(c)sister in law

(d)daughter in law

19. 1.gita, ravi and suresh are children of. mr. and mrs. khanna

2. renu,raja and sumit are children of mr. and mrs. chopra

3. sumit and gita are married and ashok and sanjay their children

4. garima and ram are children of mr. and mrs. chawla/

5 garima is married to suresh and has three children rata,sonu,raju

how ashok and sanjay are lated to mr. mrs. copra:

(a)sons

(b)nephews

(c)grand son

(d)none of these

20. in the office amongst staff a,b,c,d ,e of g. h there is only computer. a programe has to be made and can be made by only one person at a time. the office has 3 shifts, the morning shift from 6 am-12 am has 3 staff, afternoon shift from 12am. to 6 pm. has 3 staff, evening shift from 6 pm to 12 pm has 2 staff one of the person did not used a printer:

1 b is the last person who use the computer

2 h use the computer after a and came iwth a

3 d used the computer after h and come with h but before e

4 c used the computer before b but arrived after e

5 a use the computer before f and arrived before g

if g used a computer justbefore c who use 4:

(a) a

(b)b

(c)e

(d)d

21. in the office amongst staff a,b,c,d ,e of g. h there is only computer. a programe has to be made and can be made by only one person at a time. the office has 3 shifts, the morning shift from 6 am-12 am has 3 staff, afternoon shift from 12am. to 6 pm. has 3 staff, evening shift from 6 pm to 12 pm has 2 staff one of the person did not used a printer:

1 b is the last person who use the computer

2 h use the computer after a and came iwth a

3 d used the computer after h and come with h but before e

4 c used the computer before b but arrived after e

5 a use the computer before f and arrived before g

who arethe person in the night shift.

(a)f g

(b)f e

(c)b e

(d)b c

22. in the office amongst staff a,b,c,d ,e of g. h there is only computer. a programe has to be made and can be made by only one person at a time. the office has 3 shifts, the morning shift from 6 am-12 am has 3 staff, afternoon shift from 12am. to 6 pm. has 3 staff, evening shift from 6 pm to 12 pm has 2 staff one of the person did not used a printer:

1 b is the last person who use the computer

2 h use the computer after a and came iwth a

3 d used the computer after h and come with h but before e

4 c used the computer before b but arrived after e

5 a use the computer before f and arrived before g

who use the 2nd computer

(a) a

(b)h

(c)d

(d)e

23. in the office amongst staff a,b,c,d ,e of g. h there is only computer. a programe has to be made and can be made by only one person at a time. the office has 3 shifts, the morning shift from 6 am-12 am has 3 staff, afternoon shift from 12am. to 6 pm. has 3 staff, evening shift from 6 pm to 12 pm has 2 staff one of the person did not used a printer:

1 b is the last person who use the computer

2 h use the computer after a and came iwth a

3 d used the computer after h and come with h but before e

4 c used the computer before b but arrived after e

5 a use the computer before f and arrived before g

who are the person in the morning shift

(a) hec

(b)ahd

(c)efg

(d)dec

24. in the office amongst staff a,b,c,d ,e of g. h there is only computer. a programe has to be made and can be made by only one person at a time. the office has 3 shifts, the morning shift from 6 am-12 am has 3 staff, afternoon shift from 12am. to 6 pm. has 3 staff, evening shift from 6 pm to 12 pm has 2 staff one of the person did not used a printer:

1 b is the last person who use the computer

2 h use the computer after a and came iwth a

3 d used the computer after h and come with h but before e

4 c used the computer before b but arrived after e

5 a use the computer before f and arrived before g

who takes first computer

(a) a

(b)h

(c)d

(d)e

25. seven persons p,q,r,s,t,u,v and w are to be assigned seven adjacent chambers on the same floor in a apartment according to following conditions:

1 u is assigned as far away from r as t is

2 p and r prefer to have adjacent chanmbers

3 v will have to be assigned chamber no. 5

4 q;s work requirs him to speak on phone frequently through out the day.

5 p, s and t all smoke. v is allergic to toacco smoke and must have non smoker in the chamber ajjacent own.

6 unless otherwise specified all employeed maintain silence in their chambers.

the best location of s in on the floor is:

(a)2

(b)3

(c)4

(d)7

Answers:

1 d 2 d 3 c 4 b 5 b 6 c

7 d 8 d 9 b 10 a 11 d 12 b

13 c 14 c 15 b 16 a 17 c 18 d

19 c 20 c 21 d 22 b 23 b 24 a 25 a

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