1. if on an item company gives 25% discount,they earn 25% profit.if they now gives 10% dicount then what is profit percentge?
a.40%
b55%
c.35%
d.30%
2. A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
A. 7
B. 8
C. 11
D. 12
Ans.C
3. 2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?
A. 30
B. 40
C.58
D. 60
Ans. B
4. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
A.-5
B. 4
C. 2
D. 8
Ans. D
5. In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
A. 12
B. 20
C. 24
D. 30
Ans. C
6. you need to kill a dragon with 3 heads & 3 tails. you have a magic sword that can cut 1 head, 2 heads, 1 tail, or 2 tails in 1 swing.
if 1 head is cut -> a new head grows
if 1 tail is cut -> 2 tails grow
if 2 tails are cut -> 1 head grows
if 2 heads are chopped -> nothing grows. What is d min. num of swings to be made?
7. Slow train runs b/w Blore & Mumbai, up as well as down. It starts at 10:00pm everyday & reaches destination by 11:30pm after 3 days. If you travel by Slow train, how many such trains will you encounter during journey?
8. which of the following fraction is less than 1/3?
a.22/62
b.15/46
c.2/3
d.1
9. if a boat moving upstream 14km/hr and goes down stream 40km/hr then what is the speed of the stream?
a.13km/hr
b.26
c.34
d.none
10. In a class,except 18 all r above 50 yr.15 r below 50 yrs.how many people are there?
a.30
b.33
c.36
d. none of these
11.The Carpenter and the Nails:- A 31" x 31" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 32 nails on each side of the square. Each nail is at the same distance from the neighboring nails. How many nails does the carpenter use?
Ans:- 32*2 + 30*2=124
12. Man Wrinkle spent one fourth of his life as a boy, one eighth as a youth, and one half as an active man. If Man Wrinkle spent 8 years as an old man, then how many years did he spend as an active man?
sol:-(1/4)y+(1/8)y+(1/2)y =p; where y =tot life time. yp=8.since p=(14/16)y we've y=64 active age=32
13. A farmer has C chickens. A sack of feed comes for 9 days. As the feed cost is increasing the farmer sells some chickens and retains 12 chicken. If he reduces the feed quantity by 10% .Then he observes that the feed comes for 30 days. What is C?
sol: C chickens can b fed for 9 days. so C chick can eat 1/9 in 1 day. so 1 chick can eat (1/9C)in one day. after his reduction one chick gets to eat only 90% of what it used to eat in one day. so new feed value=0.9*(1/9C)for 1day.but now he has only 12 chicks. that means as per new rule feed is suitable for 12 chicks for 30 days. i.e. 0.9*(1/9C)*12*30=1. solve to get C=36
Ans:36
14. To be 10 min earlier means car has been driven for 10 min less then usual i.e 5 min in forward journey and 5min in backward journey. normally car reaches station at 6pm. today since it has to drive only 5 min less it reaches at 5:55.since he started to walk at 5pm.has been walking till 5:55 since that's when he sees the car. so 55 min
15. There are 10 marbles each of 5 diff colors. what is the min. num of marbles2 be taken out so that at least 3 marbles are of same color?
16. One guy has Rs. 100/ in hand. He has to buy 100 balls. One football costs Rs. 15/, One Cricket ball costs Re. 1/ and one table tennis ball costs Rs. 0.25 He spend the whole Rs. 100/ to buy the balls. How many of each balls he bought?
SOL:- F + C + T = 100eq1
15F + C + 0.25T = 100eq2
eq1=eq2 .solve to get F=3T/56 ;F=3,T=56,C=41
17. Bird and the train:
The distance between Station Atena and Station Barcena is 90 miles. A train starts from Atena towards Barcena. A bird starts at the same time from Barcena straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcena. The bird makes these journeys from Barcena to
the train and back to Barcena continuously till the train reaches Barcena. The bird finally returns to Barcena and rests. Calculate the total distance in miles the bird travels in the following two cases:
(a) the bird flies at 90 miles per hour and the speed of the train is 60 miles per hour there is no need to consider their meeting pt at all. the train has been running for 90miles/(60miles/hr)=1.5hrs.bird flies till train reaches destination from starting point. so bird flies for1.5hrs at the velocity given(90).so dist=1.5*90=135miles
(b) the bird flies at 60 miles per hour and the speed of the train is 90 miles per hour time of train=1hr.so distance of bird=60*1=60miles
18. A tennis championship is played on a knockout basis, i.e., a player is out of the tournament when he loses a match.
(a) How many players participate in the tournament if 15 matches are totally played?
sol:- C u don't need to sum it up. since it's a knock out only 1 person emerges winner finally.so15+1=16is answer. because after15 matches finally we should've 15 losers and 1winner.
(b) How many matches are played in the tournament if 50 players totally participate?
sol:- 49.its always one less then number of players as per the idea i have given above. so no need to check okay because its always true. ans is 49.
19. When I add 4 times my age 4 years from now to 5 times my age 5 years from now, I get 10 times my current age. How old will I be 3 years from now?
sol:- Let x= current age
4(x+4)+5(x+5)=10x ;so x=Ò 41 years
20.A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?" After pausing a moment, he replied, "Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins.
a.40%
b55%
c.35%
d.30%
2. A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
A. 7
B. 8
C. 11
D. 12
Ans.C
3. 2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?
A. 30
B. 40
C.58
D. 60
Ans. B
4. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
A.-5
B. 4
C. 2
D. 8
Ans. D
5. In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
A. 12
B. 20
C. 24
D. 30
Ans. C
6. you need to kill a dragon with 3 heads & 3 tails. you have a magic sword that can cut 1 head, 2 heads, 1 tail, or 2 tails in 1 swing.
if 1 head is cut -> a new head grows
if 1 tail is cut -> 2 tails grow
if 2 tails are cut -> 1 head grows
if 2 heads are chopped -> nothing grows. What is d min. num of swings to be made?
7. Slow train runs b/w Blore & Mumbai, up as well as down. It starts at 10:00pm everyday & reaches destination by 11:30pm after 3 days. If you travel by Slow train, how many such trains will you encounter during journey?
8. which of the following fraction is less than 1/3?
a.22/62
b.15/46
c.2/3
d.1
9. if a boat moving upstream 14km/hr and goes down stream 40km/hr then what is the speed of the stream?
a.13km/hr
b.26
c.34
d.none
10. In a class,except 18 all r above 50 yr.15 r below 50 yrs.how many people are there?
a.30
b.33
c.36
d. none of these
11.The Carpenter and the Nails:- A 31" x 31" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 32 nails on each side of the square. Each nail is at the same distance from the neighboring nails. How many nails does the carpenter use?
Ans:- 32*2 + 30*2=124
12. Man Wrinkle spent one fourth of his life as a boy, one eighth as a youth, and one half as an active man. If Man Wrinkle spent 8 years as an old man, then how many years did he spend as an active man?
sol:-(1/4)y+(1/8)y+(1/2)y =p; where y =tot life time. yp=8.since p=(14/16)y we've y=64 active age=32
13. A farmer has C chickens. A sack of feed comes for 9 days. As the feed cost is increasing the farmer sells some chickens and retains 12 chicken. If he reduces the feed quantity by 10% .Then he observes that the feed comes for 30 days. What is C?
sol: C chickens can b fed for 9 days. so C chick can eat 1/9 in 1 day. so 1 chick can eat (1/9C)in one day. after his reduction one chick gets to eat only 90% of what it used to eat in one day. so new feed value=0.9*(1/9C)for 1day.but now he has only 12 chicks. that means as per new rule feed is suitable for 12 chicks for 30 days. i.e. 0.9*(1/9C)*12*30=1. solve to get C=36
Ans:36
14. To be 10 min earlier means car has been driven for 10 min less then usual i.e 5 min in forward journey and 5min in backward journey. normally car reaches station at 6pm. today since it has to drive only 5 min less it reaches at 5:55.since he started to walk at 5pm.has been walking till 5:55 since that's when he sees the car. so 55 min
15. There are 10 marbles each of 5 diff colors. what is the min. num of marbles2 be taken out so that at least 3 marbles are of same color?
16. One guy has Rs. 100/ in hand. He has to buy 100 balls. One football costs Rs. 15/, One Cricket ball costs Re. 1/ and one table tennis ball costs Rs. 0.25 He spend the whole Rs. 100/ to buy the balls. How many of each balls he bought?
SOL:- F + C + T = 100eq1
15F + C + 0.25T = 100eq2
eq1=eq2 .solve to get F=3T/56 ;F=3,T=56,C=41
17. Bird and the train:
The distance between Station Atena and Station Barcena is 90 miles. A train starts from Atena towards Barcena. A bird starts at the same time from Barcena straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcena. The bird makes these journeys from Barcena to
the train and back to Barcena continuously till the train reaches Barcena. The bird finally returns to Barcena and rests. Calculate the total distance in miles the bird travels in the following two cases:
(a) the bird flies at 90 miles per hour and the speed of the train is 60 miles per hour there is no need to consider their meeting pt at all. the train has been running for 90miles/(60miles/hr)=1.5hrs.bird flies till train reaches destination from starting point. so bird flies for1.5hrs at the velocity given(90).so dist=1.5*90=135miles
(b) the bird flies at 60 miles per hour and the speed of the train is 90 miles per hour time of train=1hr.so distance of bird=60*1=60miles
18. A tennis championship is played on a knockout basis, i.e., a player is out of the tournament when he loses a match.
(a) How many players participate in the tournament if 15 matches are totally played?
sol:- C u don't need to sum it up. since it's a knock out only 1 person emerges winner finally.so15+1=16is answer. because after15 matches finally we should've 15 losers and 1winner.
(b) How many matches are played in the tournament if 50 players totally participate?
sol:- 49.its always one less then number of players as per the idea i have given above. so no need to check okay because its always true. ans is 49.
19. When I add 4 times my age 4 years from now to 5 times my age 5 years from now, I get 10 times my current age. How old will I be 3 years from now?
sol:- Let x= current age
4(x+4)+5(x+5)=10x ;so x=Ò 41 years
20.A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?" After pausing a moment, he replied, "Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins.
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