Onmobile Placement Paper May 2011:-
1. There are 200 questions on a 3 hr examination.Among these questions are 50 mathematics problems.It is suggested that twice as much time be spent on each maths problem as for each other question.How many minutes should be spent on mathematics problems
A.36
B.72
C.60
D.100
Ans.B
2. for every correct answer 4 is awarded but for a wrong answer 2 is deducted. If there are a total of 150 questions and sukanya scores 480 how many answers of sukanya were correct?
Ans:130
3. mahua gets his salary on sunday. She spends a quarter of her salary on monday and 2/3 of the remaining on tuesday. How much of her salary remains for the rest of the week?
Ans:1/4
4. in an auditorium(or an aeroplane I dont remember) each row had 2 double seats and 3 single seats. If there are r number of rows then what is the total number of seats?
Ans: n=(2*2r+3r)
5. in a classroom there are x girls and y boys. What part of the class are girls?
Ans:x/(x+y)
6. There is a temple on the top of the hill of height 1000mtrs.Coconuts at the base of the hill are sold at 5/- each and at the top of the hill at 50/- each. One intelligent businessman thought of buying coconuts at the base and selling them at the top. For that he appointed 2 people who can carry only 1000 coconuts at a time and takes 1 coconut for every mtr of walk.
Can he succeed in his plan. If yes how much profit he earns for a rupee of investment? (7m neg-2)
7. In the 2nd world war Japan?s war ship named J was followed by the USA war ship U which is traveling at 100kmph. By the time U was beside J and ready to launch the torpedo, the place was surrounded by fog and the army-general in U could not see anything.
Taking this as a chance J changed in direction at an angle. After 6min the general in U realized it and informed the helicopter over it to find J. After 3 minutes the helicopter replied that J turned at an angle 45 degrees and was 5km away from U at the time when the general asked for it. The intelligent general quickly turned U and successfully caught J.
How much time ?U? would have taken to catch ?J?? (8m neg-2)
Note: (You can save time by mentioning the formula).
8.. What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream(2 pt.=1 qt. and 4 qt.=1 gal)
A.16
B.24
C.30
D.64
Ans.D
9. If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3
A.0
B.1
C.-1
D.4
Ans.B
10. A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will the shop save in blending 100 gms.
A.Rs.90
B.Rs.1.00
C.Rs.3.00
D.Rs.8.00
Ans.C
11. 5 ppl, A, B, C, D, E are supposed 2 cover a certain distance from their car to a house. There is only 1 umbrella that can be shared by 2 people at a time. It takes 1min for A 2 cover the dist, B->2 min,
C->5min, D->10min, E->15min.
What is the quickest possible time for the entire group 2 get into the house?
12. Mr.X belongs 2 a group of 8 people including himself. In the meeting, nobody shakes hands with the same person more than once but everyone shakes hands with at least 1 person. After the meeting is over, Mr.X realizes that all the other people in the party had shook a diff num of hands. How many hands did Mr.X shake?
13. In a contest 3 problems, A, B, C are given
->25 people of the total num of them solved at least 1 problem each.
->Of all the contestants who did not solve A, the num who solved B was twice the num who solved C.
->num of people who solved only A was 1 more than num who solved A & atleast 1 other problem.
->Of all stud who solved just 1 problem , half didn't
solve A
14. There is a farm which contains super hens which r genetically made to lay eggs of double size than the normal ones. But as genetic engg. is not well understood there is only 50-50% chance of a super henlaying large egg.
The farm is such that it keeps the hen as long as it lays large eggs and removes the hen out of the farm as soon as it lays one normal egg. The farm followed the same process for one year and counted all the eggs laid by all the super hens. At the end of the year the ratio of large eggs to the normal ones is?(4m neg-1)
15. There is bag containing balls of three colors-Red, Green and Yellow and there are three color blind people A, B and C. For A Red is invisible and every other color appears Gray. For B Green is invisible and every other color appears Gray. For A Yellow is invisible and every other color appears Gray.
They were shown the box and when asked the question
what can see their replies were
A: I can see two balls.
B: I can see two balls.
C: I can see two balls.
How many balls were there in the box and of what color? (5m neg-2)
16. A set of football matches is to be organized in a "round robin" fashion, i.e., every participating team plays a match against every other team once and only once.
If 21 matches are totally played, how many teams participated?
ans:7 teams . for a match u need 2 teams. suppose there r totally 'n 'teams. Now u have to choose 2 teams out of 'n' teams. so answer =no of such choices=no. of possible combinations. So we've ans = nC2(ncombination2)=21;solve to get n=7.
Sol: n(n1)/2=21. so n=7.if u don't understand c the graph below each team plays no. of matches=no of teams ahead of it. One bar '|' represents one team.
| | | | | | | 7
6 5 4 3 2 1 0 21
last team is written as 0 matches because this team has already played with all other teams hence sum of matches =6+5+4+3+2+1=21 which is correct only if no of
teams =7
17. Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?
sol:-1. G+2=j2
2. 2(G2)=J+2.
solve these 2 to get J=14
18. Suppose 8 monkeys take 8 minutes to eat 8 bananas.
(a) How many minutes would it take 3 monkeys to eat 3 bananas?
Sol: each monkey takes 8 min to eat a banana
(b) How many monkeys would it take to eat 48 bananas in 48 minutes
ans:8m=48 m=6
19.It was vacation time, and so I decided to visit my cousin's home. What a grand time we had! In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long. Now, there were 12 mornings when we did nothing, 18 evenings when we stayed at home, and a total of 14
days when we jogged or played tennis. For how many days did I stay at my cousin's place? Use sets and venn diagram to solve such questions.a,b aub,anb etc.
sol:-12=tennis+leave
18=jog +leave
so jogtennis=6
again jog+tennis=14.so solve and get
jog=10,leave=8,tennis=4.so tot=22
20. A num of birds, black & white, are sitting on the telewire. There is at least 1 bird of each color, also whenever 2 birds are separated by 4 or 7 other birds of any color, both birds are of same color. What is the max. num of birds that can be seated in this fashion?
1. There are 200 questions on a 3 hr examination.Among these questions are 50 mathematics problems.It is suggested that twice as much time be spent on each maths problem as for each other question.How many minutes should be spent on mathematics problems
A.36
B.72
C.60
D.100
Ans.B
2. for every correct answer 4 is awarded but for a wrong answer 2 is deducted. If there are a total of 150 questions and sukanya scores 480 how many answers of sukanya were correct?
Ans:130
3. mahua gets his salary on sunday. She spends a quarter of her salary on monday and 2/3 of the remaining on tuesday. How much of her salary remains for the rest of the week?
Ans:1/4
4. in an auditorium(or an aeroplane I dont remember) each row had 2 double seats and 3 single seats. If there are r number of rows then what is the total number of seats?
Ans: n=(2*2r+3r)
5. in a classroom there are x girls and y boys. What part of the class are girls?
Ans:x/(x+y)
6. There is a temple on the top of the hill of height 1000mtrs.Coconuts at the base of the hill are sold at 5/- each and at the top of the hill at 50/- each. One intelligent businessman thought of buying coconuts at the base and selling them at the top. For that he appointed 2 people who can carry only 1000 coconuts at a time and takes 1 coconut for every mtr of walk.
Can he succeed in his plan. If yes how much profit he earns for a rupee of investment? (7m neg-2)
7. In the 2nd world war Japan?s war ship named J was followed by the USA war ship U which is traveling at 100kmph. By the time U was beside J and ready to launch the torpedo, the place was surrounded by fog and the army-general in U could not see anything.
Taking this as a chance J changed in direction at an angle. After 6min the general in U realized it and informed the helicopter over it to find J. After 3 minutes the helicopter replied that J turned at an angle 45 degrees and was 5km away from U at the time when the general asked for it. The intelligent general quickly turned U and successfully caught J.
How much time ?U? would have taken to catch ?J?? (8m neg-2)
Note: (You can save time by mentioning the formula).
8.. What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream(2 pt.=1 qt. and 4 qt.=1 gal)
A.16
B.24
C.30
D.64
Ans.D
9. If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3
A.0
B.1
C.-1
D.4
Ans.B
10. A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will the shop save in blending 100 gms.
A.Rs.90
B.Rs.1.00
C.Rs.3.00
D.Rs.8.00
Ans.C
11. 5 ppl, A, B, C, D, E are supposed 2 cover a certain distance from their car to a house. There is only 1 umbrella that can be shared by 2 people at a time. It takes 1min for A 2 cover the dist, B->2 min,
C->5min, D->10min, E->15min.
What is the quickest possible time for the entire group 2 get into the house?
12. Mr.X belongs 2 a group of 8 people including himself. In the meeting, nobody shakes hands with the same person more than once but everyone shakes hands with at least 1 person. After the meeting is over, Mr.X realizes that all the other people in the party had shook a diff num of hands. How many hands did Mr.X shake?
13. In a contest 3 problems, A, B, C are given
->25 people of the total num of them solved at least 1 problem each.
->Of all the contestants who did not solve A, the num who solved B was twice the num who solved C.
->num of people who solved only A was 1 more than num who solved A & atleast 1 other problem.
->Of all stud who solved just 1 problem , half didn't
solve A
14. There is a farm which contains super hens which r genetically made to lay eggs of double size than the normal ones. But as genetic engg. is not well understood there is only 50-50% chance of a super henlaying large egg.
The farm is such that it keeps the hen as long as it lays large eggs and removes the hen out of the farm as soon as it lays one normal egg. The farm followed the same process for one year and counted all the eggs laid by all the super hens. At the end of the year the ratio of large eggs to the normal ones is?(4m neg-1)
15. There is bag containing balls of three colors-Red, Green and Yellow and there are three color blind people A, B and C. For A Red is invisible and every other color appears Gray. For B Green is invisible and every other color appears Gray. For A Yellow is invisible and every other color appears Gray.
They were shown the box and when asked the question
what can see their replies were
A: I can see two balls.
B: I can see two balls.
C: I can see two balls.
How many balls were there in the box and of what color? (5m neg-2)
16. A set of football matches is to be organized in a "round robin" fashion, i.e., every participating team plays a match against every other team once and only once.
If 21 matches are totally played, how many teams participated?
ans:7 teams . for a match u need 2 teams. suppose there r totally 'n 'teams. Now u have to choose 2 teams out of 'n' teams. so answer =no of such choices=no. of possible combinations. So we've ans = nC2(ncombination2)=21;solve to get n=7.
Sol: n(n1)/2=21. so n=7.if u don't understand c the graph below each team plays no. of matches=no of teams ahead of it. One bar '|' represents one team.
| | | | | | | 7
6 5 4 3 2 1 0 21
last team is written as 0 matches because this team has already played with all other teams hence sum of matches =6+5+4+3+2+1=21 which is correct only if no of
teams =7
17. Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?
sol:-1. G+2=j2
2. 2(G2)=J+2.
solve these 2 to get J=14
18. Suppose 8 monkeys take 8 minutes to eat 8 bananas.
(a) How many minutes would it take 3 monkeys to eat 3 bananas?
Sol: each monkey takes 8 min to eat a banana
(b) How many monkeys would it take to eat 48 bananas in 48 minutes
ans:8m=48 m=6
19.It was vacation time, and so I decided to visit my cousin's home. What a grand time we had! In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long. Now, there were 12 mornings when we did nothing, 18 evenings when we stayed at home, and a total of 14
days when we jogged or played tennis. For how many days did I stay at my cousin's place? Use sets and venn diagram to solve such questions.a,b aub,anb etc.
sol:-12=tennis+leave
18=jog +leave
so jogtennis=6
again jog+tennis=14.so solve and get
jog=10,leave=8,tennis=4.so tot=22
20. A num of birds, black & white, are sitting on the telewire. There is at least 1 bird of each color, also whenever 2 birds are separated by 4 or 7 other birds of any color, both birds are of same color. What is the max. num of birds that can be seated in this fashion?
No comments:
Post a Comment