a)40 b)28 c)67 d)56 e)80
15.Father's age is reverse of son's age.one year back fathers age was twice of sons age.whats
the fathers current age?
a)89 b)70 c)73 d)56 e)67
16.Sachin is younger than rahul by 4 years.If their ages are in the respective ratio of 7:9,
how old is sachin?
a)16years b)18 years c)28 years d)none of these
17.Abhay's age after six years will be three seventh ofhis fathers age.Ten years ago the ra-
tio of their ages was 1:5.What is Abhays fathers age at present?
a)45 years b)50 years c)68 years d)57 years
18.One year ago,the ratio of gaurav's and sachins age was 6:7 respectively.Four years hence,
their ratio would become 7:8.How old is sachin?
a)36 years b)35 years c)34 years d)32 years
19.The present age of a father is 3 years more than three times the age of his son.Three years
hence fathers age will be 10 years more than twice the age of the son.Find the present age
of the father
a)32 years b)33 years c)45 years d)36 years
20.A person was asked to state his age in years.His reply was ,"take my age three years hence,
multiply it by 3 and then subract 3 times my age three years ago and you will know how old
iam." What was the age of the person?
a)18 years b)20 years c)24 years d)32 years
21.Present ages of sameer and anand are in the ratio of 5:4 respectively.Three years hence,the
ratio of their ages will become 11:9 respectively.What is Anands present age in years?
a)24 b)27 c)40 d)cannot be determined
22.My brother is 3 years elder to me.My father was 28 years of age when my sister was born
while my mother was 26 years of age when i was born.If my sister was 4 years of age when my
brother was born,then,what was the age of my father and mother when my brother was born?
a)32,23 b)32,29 c)35,29 d)35,33
23.Father is ages three times more than his son Rohit.After 8 years,he would be two and a half
times of Rohit's age.After further 8 years,how many times would he be of Rohit's age?
a)2 times b)2 1/2 times c)2 3/4 times d)3 times
24.Present ages of X and Y are in the ratio 5:6 respectively.Seven years hence this ratio will
become 6:7 respectively.What is X's present age in years?
a)35 b)42 c)49 d)none of these
25.Ayesha's fathers age was 38 years of age when she was born while her mother was 36 years old
when her brother four years younger to her was born.What is the difference between the ages
of her parents?
a)2 years b)4 years c)6 years d)8 years
26.A persons present age is two fifth of the age of his mother.After 8 years,he will be one-half
of the age of his mother.How old is the mother at present?
a)32 years b)36 years c)40 years d)48 years
27.The sum of the ages of 5 children born at the intervals of 3 years each in 50 years.What is
the age of the youngest child?
a)4 years b)8 years c)10 years d)none of these
28.At present,the ratio between the ages of Arun and Deepak is 4:3.After 6 years,Arun's age will
be 26 years.What is the age of Deepak at present?
a)12 years b)15 years c)19 years d)21 years
29.If 6 years are subracted from the present age of gagan and the remainder is divided by 18,then
the present age of his grandson anup is obtained.If anup is 2 years younger to madan whose age
is 5 years,then what is gagans present age?
a)48 years b)60 years c)84 years d)96 years
30.The ratio between the present ages of P and Q is 5:7 respectively.If the difference between
Q's present age and P's age after 6 years is 2,what is the total of P's and Q's present ages?
a)48 years b)52 years c)cannot be determined d)none of these
31.In 10 years,A will be twice as old as B was 10 years ago.If A is now 9 years older than B,
the present age of B is
a)19 years b)29 years c)39 years d)none of these
32.Eighteen years ago,a father was three times as old as his son.Now the father is only twice
as old as his son.Then the sum of the present ages of the son and the father is
a)54 b)72 c)105 d)108
33.Rajan got married 8 years ago.His present age is 6/5 times his age at the time of his marriage.
Rajans sister was 10 years younger to him at the time of his marriage.The age of Rajans sister
is
a)32 b)36 c)38 d)40
34.The ratio between the present ages of P and Q is 6:7.If Q is 4 years old than P.what will be
the ratio of the ages of P and Q after 4 years?
a)3:4 b)3:5 c)4:3 d)none of these
35.A father said to his son ," i was as old as u are at present at the time of your birth.If the
fathers age is 38 years now,the sons age 5 years back was
a)14 years b)19 years c)33 years d)38 years
36.A man is 24 years older than his son.In two years , his age will be twice the age of his son.
The present age of the son is
a)14 b)18 c)20 d)22
37.The sum of the ages of a father and his son is 45 years.Five years ago,the product of their
ages was 34.The ages of the son and the father are respectively
a)6 and 39 b)7 and 38 c)9 and 36 d)11 and 34
38.A is 2 years older than B who is twice as old as C.If the total of the ages of A,B and C be 27.
then how old is B?
a)7 b)8 c)9 d)10
39.The age of a man is three times the sum of the ages of his two sons.Five years hence , his
age will be double of the sum of the ages of his sons.The fathers present age is:
a)40 years b)45 years c)50 years d)55 years
40.The total age of A and B is 12 years more than the total age of B and C.C is how many years
younger than A?
a)12 b)24 c)C is elder than A d)data inadequate
CALENDARS
1.What was the day of the week on 16th july,1776?
a)monday b)tuesday c)wednesday d)friday
2.On what dates of july 2004 did monday fall?
a)5,12,19,26 b)12,5,19,26 c)cannot be determined d)none of these
3.What was the day of the week on 16th april 2000?
a)monday b)friday c)saturday d)sunday
4.What was the day of the weekon 15th august , 1947?
a)friday b)saturday c)sunday d)monday
5.The first Republic Day of India was celebrated on 26th January,1950.It was
a)tuesday b)wednesday c)thursday d)friday
6.The last day of century cannot be
a)monday b)wednesday c)friday d)tuesday
7.Today is friday,after 62 days it will be
a)saturday b)monday c)tuesday d)thursday
8.What was the day of the weekon 28th may,2003?
a)friday b)saturday c)sunday d)monday
9.What was the day of the week on 17th june,1998
a)monday b)tuesday c)wednesday d)thursday
10.What will be the day of the week on 1st january 2010?
a)friday b)saturday c)sunday d)monday
11.On what dates of April 2001 did sunday fall?
a)1,8,15,22,29 b)2,9,16,23,30 c)4,11,18,25 d)6,13,20.27
12.The calendar for the year 2005,Wednesday is the same as for the year?
a)2010 b)2011 c)2012 d)2013
13.On 8th march,2005,wednesday falls.What day of the week was it on 8th march?
a)sunday b)monday c)tuesday d)wednesday
14.January 1,2004 was a Thursday.What day of the week lies on Jan 1,2005?
a)thursday b)friday c)saturday d)sunday
RATIO AND PROPORTION
1.If a:b=3:7,find the value of (5a+b):(4a+5b)
a)15:44 b)22:35 c)15:49 d)22:47
2.The ratio between two number is 3:5 and their is 40.Find the larger of two numbers
a)15 b)20 c)25 d)40
3.A bag contains one rupee,50 paise and 25 paise coins in the ratio 1:2:4.If the
total amount is Rs 75,then find the number of 50 paise coins in the bag
a)25 b)50 c)75 d)100
4.If (x+4):(3x+15) is the triplicate of 2:3.Find the value of x
a)1 b)3 c)4 d)none of these
5.If a is 75% of b,b is 150% of c and d is 25% of c,then find a:d
a)9:1 b)9:2 c)8:3 d)8:1
6.The present ages of two persons are in the ratio 7:8.Twenty years ago the ratio of
their ages was 9:11.Find the present age of the older son
a)64 years b)72 years c)56 years d)40 years
7.Find x:y:z,if 2x+y-5z = 0 and 3x-2y-4z=0
a)1:2:1 b)1:1:1 c)1:1:2 d)2:1:1
8.A certain sum is divided among A,B and C in a manner that for every rupee that A
gets,B gets 75 paise and for every rupee that B gets,C gets 50 paisee.If B's share
in the total sum is Rs 840.Find the share of A
a)Rs 2380 b)Rs 2240 c)Rs 1750 d)Rs 1120
9.Seventy eight is divided into two parts such that five times the first part and four
times the second part are in the ratio 15:14.Find the first part
a)32 b)36 c)42 d)46
10.A certain amount of money is divided among A,B and C such that A gets half of what
B and C gets together.B gets one third of what A and C together get.If A got Rs 500
more than B,then how much money was divided?
a)Rs4500 b)Rs 6000 c)Rs 8000 d)none of these
11.In a school there are 650 students.The ratio of the boys to that of the girls is 8:5.
How many more girls should join the school so that the ratio becomes 4:3?
a)25 b)50 c)100 d)200
12.A variable x varies directly as the cube of another variable y.if x=4,y=2,then find y
when x = 32
a)4 b)8 c)16 d)32
13.What should be subracted from both the numbers which are in the ratio 3:4 so that the
ratio becomes 2:3
a)4 b)6 c)10 d)cannot be determined
14.A varies directly as the sum of the quantities B and C.B in turn varies directly as x and
C varies inversely as x.When x=2,A = 6 and when x=4,A=9.Find the value of A when the value
of x=16
a)2 1/2 b)1 c)8 1/2 d)32 1/4
15.The volume of a shere varies directly as the cube of its radius.If three cubes of radii 3
cm,4 cm and 5 cm are melted and recast into one sphere,then find the radius of the sphere
a)5.5 cm b)6 cm c)7 cm d)7.5 cm
Directions for question 16 to 18:These questions are based on the data given below
There are two colleges in the town-college A and college B.There are 500 students more in
college A than in college B.The ratio of the boys to that of the girls in college A is 3:2
and that in college B is 4:1.The ratios of the number of science,humanities and commerce
students in college A and college B are respectively 2:5:3 and 2:3:3.The number of commerce
students in both the colleges is the same.
16.How many students are there in college A?
a)2000 b)2500 c)3000 d)3500
17.How many girls are there in two colleges together?
a)1400 b)1600 c)1700 d)2000
18.How many more/less humanities students are there in college A than in college B?
a)400 more b)400 less c)500 less d)500 more
19.If (2x+5):(7x-6) is the duplicate ratio of 5:8,then find the value of x
a)6 b)7 c)10 d)none of these
20.The mean proportional between two numbers is 16 and their third proportional is 128.Find the
smaller of the two numbers
a)8 b)12 c)16 d)32
21.A bag contains 50 p,25 p and 10 p coins in the ratio 5:9:4,amounting to Rs 206.Find the
number of coins of each type
a)200,360,160 b)160,360,200 c)360,373,123 d)678,234,763
22.what is the ratio whose terms differ by 40 and the measure of which is 2/7?
a)16:56 b)14:56 c)15:56 d)16:72
23.A sum of Rs 53 is divided among A,B,C in such a way that A gets Rs 7 more than what B gets
and B gets Rs 8 more than what C gets.The ratio of their shares is
a)16:9:18 b)25:18:10 c)18:25:10 d)15:8:30
24.A certain amount was divided between A and B in the ratio 4:3.If B's share was Rs 4800,the
total amount was
a)Rs 11,200 b)Rs 6,400 c)Rs 19,200 d)Rs 39,200
25.If 10% of x = 20% of y,then x:y is equal to
a)1:2 b)2:1 c)5:1 d)10:1
26.x varies inversely as square of y.Given that y=2 for x=1.The value of x for y=6 will be
equal to
a)3 b)9 c)1/3 d)1/9
27.The ratio of incomes of A and B is 5:4 and the ratio of their expenditures is 3:2.If at
the end of the year,each saves Rs 1600,then income of A is
a)Rs 3400 b)Rs 3600 c)Rs 4000 d)Rs 4400
28.Three containers have their volumes in the ratio 3:4:5.They are full of mixtures of milk
and water.The mixtures contain milk and water in the ratio of (4:1),(3:1) and (5:2) resp.
The contents of all these three containers are poured into a fourth container.The ratio
of milk and water in the fourth container is
a)4:1 b)151:48 c)157:53 d)5:2
29.In a school,10% of the boys are same in number as 1/4rth of the girls.What is the ratio of
boys to girls in that school?
a)3:2 b)5:2 c)2:1 d)4:3
30.The ratio of number of boys and girls in a school is 3:2.If 20% of the boys and 25% of the
girls are scholarship holders,what percentage of the students does not get the scholarship?
a)56 b)70 c)78 d)80
31.The sides of a triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104 cm.The length
of the longest side is
a)52 cm b)48 cm c)32cm d)26cm
32.which of the following ratios is greatest?
a)7:15 b)15:23 c)17:25 d)21:29
33.In a college the ratio of number of girls to boys is 8:5.If there are 160 girls,the total
number of students in the college is
a)100 b)250 c)260 d)416
34.The least whole number which when subracted from both the terms of the ratio 6:7 gives
a ratio less than 16:21 is
a)2 b)3 c)4 d)6
35.The speeds of three cars are in the ratio 5:4:6.The ratio between the time taken by them
to travel the same distance is
a)5:4:6 b)6:4:5 c)10:12:15 d)12:15:10
36.15 litres of mixture contains 20% alcohol and the rest water.If 3 litres of water be mixed
with it,the percentage of alcohol in the new mixture would be
a)15 b)16 2/3 c)17 d)none of these
37.20 litres of mixture contains milk and water in the ratio 5:3.If 4 litres of this mixture
be replaced by 4 litres of milk,the ratio of milk to water in the new mixture would be
a)2:1 b)7:3 c)8:3 d)4:3
38.85 kg of a mixture contains milk and water in the ratio 27:7.How much more water is to be
added to get a new mixture containing milk and water in the ratio 3:1?
a)5kg b)6.5kg c)7.25kg d)8kg
39.The ages of A and B are in the ratio 3:1.Fifteen years hence,the ratio will be 2:1.Their
present ages are
a)30,10 b)45,15 c)21,7 d)60,20
40.The average age of three boys is 25 years and their ages are in the proportion 3:5:7.The
age of the youngest boy is
a)21 b)18 c)15 d)9
1.Alfred buys an old scooter for Rs.4700 and spends Rs 800 on its repairs.If he sells the scooter for Rs5800,his gain
percent is
a.4 4/7 % b.5 5/11 % c.10 % d.12%
2.Shyam purchased 20dozens of toys at the rate of Rs.375 per dozen .He sold
each one of them at the rate of Rs 33 what was his percentage profit
a. 3.5 b. 4.5 c. 5.6 d.6.5
3.Peter purchased a machine for Rs 80000 and spent Rs.5000 on repair and Rs.1000
on transport and sold it with 25% profit.At what price did he sell the machine
a.Rs1,05,100 b.Rs1,06,250 c.Rs. 1,07,500 d.none of these
4.vA school bookshop sells an outdated biology text book for $49.35, making a 6% loss.
What was the cost price of the book, and what is the cash value of the loss?
a.$52.50 ,$3.15 b.$62.50,$3.15 c.$52.30,$3.15 d.$53.50,$4.20
5.When a commodity is sold for Rs.34.80 there is a loss of 2% what is the cost price of the commodity
a. Rs26.10 b. Rs. 43 c.Rs 43.20 d.Rs. 46.40
6.A person brought 20lts of milk at the rate of 8per liter .He got it churned after spending
Rs.10 and 5kg of cream and 20lts of tonned milk are obtained.If he sold the cream at Rs30 per kg and toned milk at Rs.4
per lt his profit in the transaction is
a.25% b.35.3% c.35.7% d.42.5%
7.A trader buys a chair for Rs 600 and sells it for Rs 765 at a credit of 4 months
reckoning money worth 6% per annum his gain % is
a.20% b.22.5% c.25% d.27.5%
8.If the sellinfg price of an article is 4/3rd of its cost price the profit in the transaction is
a.16 2 /3% b.20 ½%c.25 ½ % d.33 1/3 %
9.The ratio of cost price to the selling price is 4:5 the profit % is
a.10% b.20% c.25% d.30%
10.At what profit % must an article must be sold so that by selling at half that price
there may be a loss of 30%
a.25% b.36% c.40% d.42%
11.If loss is 1/3 of selling price the loss % is
a.16 2/3% b.20% c.25% d.33 1/3%
12.Tarun got 30% concession on the labled price of an article and sold it for Rs 8750
with 25 % on the price he bought.What was the labled price
a.Rs 10000 b.Rs 12000 c.Rs 16000 d.data inadequate
13.A shopkeeper sol an article offering a discount of 5% and earned a profit of 23.5 %
What woul have been the % of profit earned if no discount is offered
HYPERLINK "http://a.24.5/"#a. 24.5 b.28.5 c. 30 d.none
14.A shopkeeper sells 25 articles at Rs.45 per article giving 10% discount and earns 50% profit .If the discount is not
given the profit gained is
a.60% b.62 2/3 c.66 d.66 2/3
15.A trade marked the selling price of the article at 10% above the cost price.
At the time of selling he allows certain discount and suffers a loss of 1%.He allowed
a discount of
a.9% b.10% c.10.5% d.11%
16.At what % above the cost price must the shop keeper mark his goods so that he gains 20% even after giving a discout
of 10% on marked price
a.25 b.30 c.33 1/3 d.37 ½
17.A tradesman marked his goods 30 % above the cost price if he allows a discount of
6 ¼% then the gain% is
a. 21 7/8% b.20 c.22 d.none
18.A bag marked at Rs 80 is sold for Rs68. The rate of discount is
a.12 b,15% c.17 11/17% d.20%
19.2/3rd of the consignment were sold at a profit of 5% and remainder at the loss of 2%
If the total profit Rs 400 the valu of consignment in Rs is
a. 10000 b.12000 c.15000 d.20000
20.A fair price shopkeeper takes 10% profit on his goods.He lost 20% goods during
theft his loss% is
a.8 b.10 c.11 d.12
percent is
a.4 4/7 % b.5 5/11 % c.10 % d.12%
2.Shyam purchased 20dozens of toys at the rate of Rs.375 per dozen .He sold
each one of them at the rate of Rs 33 what was his percentage profit
a. 3.5 b. 4.5 c. 5.6 d.6.5
3.Peter purchased a machine for Rs 80000 and spent Rs.5000 on repair and Rs.1000
on transport and sold it with 25% profit.At what price did he sell the machine
a.Rs1,05,100 b.Rs1,06,250 c.Rs. 1,07,500 d.none of these
4.vA school bookshop sells an outdated biology text book for $49.35, making a 6% loss.
What was the cost price of the book, and what is the cash value of the loss?
a.$52.50 ,$3.15 b.$62.50,$3.15 c.$52.30,$3.15 d.$53.50,$4.20
5.When a commodity is sold for Rs.34.80 there is a loss of 2% what is the cost price of the commodity
a. Rs26.10 b. Rs. 43 c.Rs 43.20 d.Rs. 46.40
6.A person brought 20lts of milk at the rate of 8per liter .He got it churned after spending
Rs.10 and 5kg of cream and 20lts of tonned milk are obtained.If he sold the cream at Rs30 per kg and toned milk at Rs.4
per lt his profit in the transaction is
a.25% b.35.3% c.35.7% d.42.5%
7.A trader buys a chair for Rs 600 and sells it for Rs 765 at a credit of 4 months
reckoning money worth 6% per annum his gain % is
a.20% b.22.5% c.25% d.27.5%
8.If the sellinfg price of an article is 4/3rd of its cost price the profit in the transaction is
a.16 2 /3% b.20 ½%c.25 ½ % d.33 1/3 %
9.The ratio of cost price to the selling price is 4:5 the profit % is
a.10% b.20% c.25% d.30%
10.At what profit % must an article must be sold so that by selling at half that price
there may be a loss of 30%
a.25% b.36% c.40% d.42%
11.If loss is 1/3 of selling price the loss % is
a.16 2/3% b.20% c.25% d.33 1/3%
12.Tarun got 30% concession on the labled price of an article and sold it for Rs 8750
with 25 % on the price he bought.What was the labled price
a.Rs 10000 b.Rs 12000 c.Rs 16000 d.data inadequate
13.A shopkeeper sol an article offering a discount of 5% and earned a profit of 23.5 %
What woul have been the % of profit earned if no discount is offered
HYPERLINK "http://a.24.5/"#a. 24.5 b.28.5 c. 30 d.none
14.A shopkeeper sells 25 articles at Rs.45 per article giving 10% discount and earns 50% profit .If the discount is not
given the profit gained is
a.60% b.62 2/3 c.66 d.66 2/3
15.A trade marked the selling price of the article at 10% above the cost price.
At the time of selling he allows certain discount and suffers a loss of 1%.He allowed
a discount of
a.9% b.10% c.10.5% d.11%
16.At what % above the cost price must the shop keeper mark his goods so that he gains 20% even after giving a discout
of 10% on marked price
a.25 b.30 c.33 1/3 d.37 ½
17.A tradesman marked his goods 30 % above the cost price if he allows a discount of
6 ¼% then the gain% is
a. 21 7/8% b.20 c.22 d.none
18.A bag marked at Rs 80 is sold for Rs68. The rate of discount is
a.12 b,15% c.17 11/17% d.20%
19.2/3rd of the consignment were sold at a profit of 5% and remainder at the loss of 2%
If the total profit Rs 400 the valu of consignment in Rs is
a. 10000 b.12000 c.15000 d.20000
20.A fair price shopkeeper takes 10% profit on his goods.He lost 20% goods during
theft his loss% is
a.8 b.10 c.11 d.12
TIME AND DISTANCE
1.Express a speed of 54 km/hr in meters/second.
a)15 m/sec b)20 m/sec c)25 m/sec d)30 m/sec
2.A car can cover 350 km in 4 hours.If the speed is decreased by 12 1/2 kmph,how much time
does the car take to cover a distance of 450 km?
a)4 hrs b)5 hrs c)2 hrs d)6 hrs
3.A person covers a certain distance at a certain speed.If he increaseshis speed by 25 %
then he takes 12 minutes less to cover the same distance.Find the time taken by him initially
to cover the distance at the original speed
a)3 hrs b)2 hrs c)1 hr d)7 hrs
4.A car covers a certain distance going at a speed of 60 kmph and returns to the starting point
at a speed of 40 kmph.Find the average speed for the whole journey.
a)48 kmph b)42 kmph c)34 kmph d)40 kmph
5.What is the time taken by a train running at 54 km/hr to cross a man standing on a platform,
the length of the train being 180 m?
a)6 seconds b)12 seconds c)16 seconds d)18 seconds
6.How long will a train 100 m long and travelling at a speed of 45 kmph,take to corss a platform
of length 150 m?
a)20 sec b)29 sec c)27 sec d)cannot be determined
7.Find the length of the bridge,which a train 120 m long travelling at 54 kmph can cross in 30
seconds.
a)340 m b)350 m c)330 m d)390 m
8.A worker reaches his work place 15 minutes late by walking at 4kmph from his house.The next day
he increases his speed by 2kmph and reaches in time.Find the distance from his house to his
work place
a)2 km b)6 km c)8 km d)3 km
9.A person leaves his house and travelling at 4 kmph reaches his office 10 minutes late.Had he
travelled at 7kmph he would have been 20 mins early.Find the distance from the house to the
office?
a)14/3 b)2 c)14/9 d)14/6
10.Find the time taken by a train 150 m long running at a speed of 63 kmph to cross another train
of lenth 100 m long running at a speed of 45 kmph in the same direction
a)25 seconds b)50 seconds c)75 seconds d)100 seconds
11.A train crosses two persons,cycling in the same direction as the train in 12 and 18 seconds
respectively.If the speeds of the two cyclists are 9 and 18 kmph respectively.Find the length
and speed of the train.
a)80 m b89 m c)98 m d)90 m
12.Two trains running at 45 and 54 kmph cross each other in 12 seconds when they run in opposite
directions.When they run in the same direction,a person in the faster train observes that he
crossed the other train in 32 seconds.Find the lengths of the two trains
a)250 b)450 c)260 d)234
13.Two trains of length 150 m and 250m run on parallel lines.When they run in the same direction it
will take 20 seconds to cross each other and when they run in opposite direction it willl take 5
seconds.Find the speeds of the two trains.
a)180 and 108 b)272 and 211 c)123 and 828 d)none of these
14.The average speed for an entire journey is 60 kmph without considering the stoppages.When the
stoppages are considered the average speed becomes 48 kmph.How many minutes per hour on an
average were the stoppages?
a)10 mins b)12 mins c)16 mins d)none of these
15.I had to catch a bus which was 225 m ahead of me.The bus also started at the same time.If the
speed of the bus was 2.5 m/sec and my spped was 36 kmph,in how much time can i catch the bus?
a)20 seconds b)25 seconds c)30 seconds d)40 seconds
16.The distance from my house to my friends house is 12 km.I walked at a speed of 4 kmph and
after every kilometre took rest for 10 mins.How much time did it take for me to reach my
friends house?
a)3 hrs b)4 hrs and 50 mins c)5 hrs d)none of these
17.A train covered a distance of 250 km,partly at an average speed of 40 kmph and partly at 60
kmph.Find the distance convered at 40 kmph if it took 5 hrs for the train to cover the distance.
a)150 km b)120 km c)100km d)cannot be determined
18.A bus covered a distance of 160 km in 4 hrs covering a part of it at 30 kmph and the remaining
at 70 kmph.For how much time did the us travel at 70 kmph?
a)0.5 hr b)1 hr c)1 1/2 hs d)2 hrs
19.A car takes 2 hours more to cover a distance of 480 km when its speed is reduced by 8 kmph.
Find its usual speed
a)48 kmph b)55 kmph c)60 kmph d)64 kmph
20.A person covered the first 40 km of his journey at 50 kmph,the next 70 km at 35 kmph and the
remaining distance in 12 mins.If the average speed of the entire journey is 52 kmph.Find the
distance covered in the last strech of the journey.
a)22 km b)34 km c)40 km d)46 km
21.A train takes 10 seconds to cross a man standing on a platform and 44 seconds to cross the
platform.What is the length of the platform.What is the length of the platform if the speed
of the train is 72 kmph?
a)440 m b)570 m c)680 m d)none of these
22.A train travelling at 36 kmph takes 48 seconds to cross a bridge.It then crosses a man cycling
at the rate of 9 kmph in the same direction in 20 seconds.Find the length of the bridge
a)150 m b)220 m c)280 m d)330 m
23.A train crosses two bridges 370 m and 480 m long in 51 and 62 seconds respectively.Find the
speed of the train.
a)24 kmph b)36 kmph c)45 kmph d)64 kmph
24.A man started 15 minutes late and by travelling at a speed which is 5/4rth of his usual speed
reached his office 20 mins early.What is the usual time of the journey?
a)85mins b)100 mins c)135 mins d)175 mins
25.A parachutist,before he opens his parachute,falls for a time t1,and covers a distance of 5t1^2
and after he opens his parachute he falls for a time t2 and covers a distance Vt2.V is the
velocity attained just before the parachute is opened and is given by 5t1.After what time did
he open the parachute,if the total distance covered by the parachutist is 1500m and the total
time is 30 seconds?
a)10 seconds b)20 seconds c)18 seconds d)12 seconds
26.Akash,Anurag and Rishab are running around a circular track of length 900 m with respective
speeds of 15 m , 20 m and 30 m/sec.Akash and Anurag are running in the same direction while
Rishab is running in the opposite direction.After how much time will all the three of them
meet for the first time?
a)20 seconds b)60 seconds c)120 seconds d)180 seconds
27.A police patrol party travelling at 60 kmph crosses an escaping thief travelling in the opposite
direction at 48 kmph.The police party has to travel for a further 5 minutes before it can find
a gap in the median where it can take a U turn and start chasing the thief.After how much time
after the police party crosses the thief does it catch him?
a)25 mins b)50 mins c)15 mins d)32 mins
28.In a 1000 m race A reaches the goal 5 seconds earlier and beats B by 50 m.What is A's speed?
a)10 m/s b)10 10/19 m/s c)9 9/19 m/s d)11 9/19 m/s
29.Two points A and B are diametrically opposite points on a circular road of circumference 12 km.
A cyclist started from A and made three rounds.He made the first round with a speed of 12 kmph
and decreased his speed by 3 kmph for every round.What is the interval between the first time
he passes through B and the third time he passes through B?
a)200 mins b)100 mins c)85 mins d)170 mins
30.Two men left simultaneously two places A and B.One of them left A for B while the other left B
for A.Both travel each at his own uniform velocity.The first person on reaching B returns to A
and then again travels bach to B and so on.What will be the distance covered by the first person
when they meet for the third time given the ratio of the speed of the first person to that of
the second person is 3:2 the distance between A and B is 500 m?
a)1000 m b)1500 m c)2500 m d)1200 m
31.A person takes 6 hours to go by car to a certain place and return by bus.He gains 2 hrs if he
goes both ways by car.How long would he have taken if he had gone by bus both ways?
a)4 hrs b)6 hrs c)8 hrs d)2 hrs
32.car A and car B are travelling on two perpendicular roads towards city C with equal speeds.
car A starts from a distance of 100 km ar 11 a.m while car B starts from a distance of 70 km
at 12 noon.At 2p.m the two cars are 50 km apart.What is the speed with which they are
travelling?
a)25 kmph b)20 kmph c)30 kmph d)15 kmph
33.Two trains of length 200 m and 100 m simultaneously wnter a tunnel of length 300m from
opposite ends at the same time on parallel tracks.The respective speeds of the two trains
are 36 kmph and 18 kmph.After how much time from the instant the two trains entered the tunnel
will the tunnel be free of traffic again?
a)40 seconds b)30 seconds c)120 seconds d)80 seconds
34.Rajat had covered one third of the total distance of his trip when his scooter failed .He then
parked it and covered the remaining distance on foot,spending 20 times as long walking as
riding.How many times was his riding speed more than his walking speed?
a)20 b)19 c)10 d)9
35.Ashish and Bali run towards each other from P and Q respectively with respective speeds of
36 kmph and 45 kmph.After meeting each other if Ashish reaches Q in 5 hours,in how many hours
will Bali reach P?
a)3 b)3 1/5 c)4 d)8
36.A train of length 180 m travelling at 72 kmph overtook a mortorcyclist travelling at 36 kmph
at 4 p.m.At 5 p.m it overtook another cyclist travelling in the opposite direction at a speed
of 18 kmph.When will the cyclist meet the motorcyclist?
a)1 hr 20 mins b)1 hr 30 min c)1 hr 45 min d)none of the above
37.Two men left simulataneously two places A and B.one of them left A for B and the other B for A.
Both travelled each with his own uniform velocity.Having arrived at their destination,they
turned back without stopping and turned back to their starting points.First time,they met on
their own jouney 18 km from B;the second time on their return journey 9 km from A.Find the
distance AB.
a)30 km b)45 km c)60 km d)cannot be determined
38.A car travels a total distance of 150 km.After travelling a part of the distance without any
trouble ,the car develops an engine problem and proceeds at 2/3rd of its former speed and
arrives at the destination 48 mins late.Had the problem developed 24 km furthur on,the car
would have arrived 12 min sooner.Find the original distance it travelled without any problem
and the speed over that part of the journey.
a)100km,60 kmph b)48km,36kmph c)72km,50kmph d)54km,60 kmph
39.Two cyclists simulatanueously start from A to B and B to A respectively.They cross each other after
a time t hours.The first person reaches B in another t1 hours while the second person reaches
A in another t2 hours.Then
a)t=t1+t2/2 b)t=2t1t2/t1+t2 c)t=sqrt(t1t2) d)t=t2-t1/2
40.Ramu starts from P towards Q at a speed of 30 kmph and after every 12 min increase his speed
by 5 kmph.If the distance between P and Q is 52 km,then how much time does he take to cover
the distance?
a)60 min b)72 min c)90 min d)120 min
PROBABILITY
1.The probability that a digit chosen at random from {1,2,3,4,5,6,7,8,9} will be multiple
of 3 is
a)1/3 b)2/3 c)3/4 d)5/9
2.The probability of throwing a total of 3 when two dice are thrown is
a)1/36 b)1/18 c)5/36 d)35/36
3.If two cards are drawn are at random from a well shuffled pack , the probability that
both are queens is
a)3/221 b)1/221 c)1/17 d)4/17
4.A committee of three is to be chosen from a group of 3 men and 4 women.The probability
of all the three being women is
a)4/35 b)3/35 c)31/35 d)34/35
5.If 5 students are seated at random in a row,the probability that two particular students
are not seated side by side is
a)13/120 b)119/120 c)3/5 d)4/5
6.There are 25 bulbs,out of which 2 are fused.If 2 bulbs are drawn at random the probability
of drawung one good and one fused bulb is
a)7/13 b)5/13 c)23/150 d)7/15
7.A puzzle in logic was given to 3 students A,B and C whose chances of solving i are 1/2,3/4
and 1/4 respectively.The probability that the problem is solved is..
a)29/32 b)31/32 c)1/8 d)7/8
8.A die has 2 of its sides painted pink,2 blue and 2 green.If the die is rolled twice the
probability that same colour appears both the times is
a)1/3 b)2/3 c)7/9 d)8/9
9.If the card is drawn at random from a pack,the probability that it is a jack is
a)1/52 b)1/26 c)3/26 d)1/13
10.The chance that a leap year has 53 tuesdays is
a)2/13 b)3/7 c)2/7 d)1/8
11.The odds against an event A are 3 to 2 while the odds in favor of another independent event
B are 2 to 5.Then the probability that atleast one of them would happen is
a)5/7 b)2/7 c)4/7 d)3/7
12.The probability of throwing 22 or more with a throw of 4 dice is
a)5/432 b)431/432 c)3/432 d)427/432
Directions for questions 13 to 17: A house wife buys a dozen eggs of which two turn out to be
bad.If she chooses 4 eggs at random from the dozen to scramble for breakfast,the probability
that she chooses
13.all good eggs is
a)1/33 b)14/33 c)13/33 d)1/11
14.three good eggs and one bad egg is
a)16/33 b)1/11 c)19/33 d)10/11
15.two good eggs and two bad eggs is
a)17/33 b)16/33 c)3/11 d)1/11
16.atleast one bad egg is
a)13/22 b)4/11 c)19/33 d)3/11
17.atleast one good egg is
a)13/22 b)1 c)11/33 d)14/33
18.If three balls are drawn at random from a bag containing 4 red and 7 green balls,the odds in
favour of all being red is
a)12:13 b)4:161 c)161:4 d)3:121
19.The probability that a number selected at random from the first 10 natural numbers is prime,is
a)3/5 b)3/10 c)7/10 d)2/5
20.The probability of getting exactly 2 heads when 2 coins are tossed is
a)1/2 b)1/4 c)3/4 d)1/3
21.The probability of getting atleast one head when 4 fair coins are tossed is
a)1/16 b)15/16 c)3/16 d)7/16
22.The probability of getting atleast one head,where a loaded coin is tossd twice(given that
head occurs twice as often as tails) is
a)7/9 b)8/9 c)4/9 d)2/9
23.The odds,against the ocurance of a head when a loaded coin is tosed are 3:5.The probability of
getting a tail when the coin is tossed is
a)3/8 b)5/8 c)3/2 d)5/2
24.If 4 coins are tossed,the probability of getting 2heads and 2 tails is
a)3/8 b)6/11 c)2/5 d)4/5
25.If A and B are two mutually exclusive events such that P(A)=5 P(B),then P(AUB):P(B)=
a)6:1 b)5:6 c)6:11 d)5:11
26.if P(A) = p and P(B)=q,then P(A`UB`)(when A and B is independent) is
a)pq b)(1-p)(1-q) c)1-pq d)none
27.If P(A) = 1/4,P(B)=2/5 and P(AUB) = 1/2, then P(A intersection B) is
a)0.15 b)0.10 c)0.12 d)0.32
28.If P(A) = 0.75 and B is an event which is mutually exclusive with A,P(A intersection B)=
a)0.25 b)0.35 c)0.81 d)none
29.A bag contains 7 green and 8 white balls.If two balls are drawn simutaneously,the probability
that both are of the same colour is
a)8/15 b)7/15 c)3/5 d)8/15
30.If 3 dice are thrown, the probability of getting an even number on each die is
a)4/9 b)3/4 c)3/16 d)1/8
31.Two dice are rolled.The probability of getting a sum of atleast 9 is
a)13/36 b)5/18 c)35/36 d)11/36
32.The odds against Arun solving a problem are 5:7 and the odds in favor of Prashant solving
the same problem are 4:3.The probability that only one of them can solve the problem is
a)13/84 b)41/84 c)17/84 d)23/84
33.If a card is drawn from a well shuffled pack of cards,the kprobability of drawing a spade
or a king is
a)19/52 b)17/52 c)5/13 d)4/13
34.Out of first 20 natural numbers,one number is picked at random.The probability that it is
wither an even number or a prime number is
a)1/2 b)16/19 c)4/5 d)17/20
35.A bag has 10 bulbs of which 3 are defective.If three bulbs are drawn in succession without
replacement,the prabability of all the three being defective is
a)(3/10)^3 b)1/120 c)1/80 d)7/120
36. If P(Aintersection B) = 0.2,P(A)=0.5 and P(AUB) = 0.7then P(B`)=
a)0.4 b)0.8 c)0.6 d)0.3
37.In a single throw with two dice,the probability of throwing the sum less than 11 is
a)11/12 b)35/36 c)31/36 d)3/4
38.If two cards are drawn at random from a well shuffled pack,the probability that both are
king is
a)1/221 b)13/17 c)51/52 d)5/52
39.If six persons sit around a table, the probability that some specified three of them are
always together is
a)1/20 b)3/10 c)1/5 d)4/5
40.Arun speaks truth in 70% of cases while Bhargav speaks truth in 65% of cases.The probability
that they will contradict each other on starting the same fact is
a)0.44 b)0.72 c)0.47 d)0.86
PIPES AND CISTERNS
1.Two pipes A and B can fill a tank in 36 hours and 45 hours respectively.If both the
pipes are opened simultaneously,how much time will be taken to fill the tank?
a)10 hrs b)15 hrs c)20 hrs d)25 hrs
2.Two pipes can fill a tank in 10 hours and 12 hours respectively while a third pipe
empties the full tank in 20 hours.If all the three pipes operate simultaneously,in
how much time will the tank be filled?
a)7 hrs 30 min b)5 hrs c)7 hrs d)none of these
3.If two pipes function simultaneously,the reserviour will be filled in 12 hours.One
pipe fills the reservoir 10 hours faster than the other.How many hours does it take
the second pipe to fill the reservior?
a)10 b)20 c)30 d)40
4.A cistern has two taps which fill it in 12 minutes and 15 minutes respectively.There
is also a waste pipe in the cistern.When all the three are opened,the empty cistern
is full in 20 minutes.How long will the waste pipe take to empty the full?
a)5 min b)10 min c)15 min d)20 min
5.An electric pump can fill a tank in 3 hours.Because of a leak in the tank it took 3 1/2
hours to fill the tank.If the tank is full,how much time will the leak take to empty
it?
a)17 b)18 c)20 d)21
6.Two pipes can fill a cistern in 14 hours and 16 hours respectively.The pipes are opened
simultaneously and it is found that due to leakage in the bottom it took 32 minutes more
to fill the cistern.When the cistern is full in what time will the leak empty it?
a)110 hrs b)111 hrs c)112 hrs d)none of these
7.Two pipes A and B can fill a tank in 36 min and 45 min resp.A water pipe C can empty
the tank in 30 min.First A and B are are opened.After 7 min,C is also opened.In how much
time,the tank is full?
a)19 min b)29 min c)39 min d)49 min
8.Two pipes A and B can fill a tank in 24 min and 32 min. resp.If both the pipes are
opened simultaneously,after how much time B should be closed so that the tank is full
in 18 min?
a)5 min b)8 min c)16 min d)29 min
9.Two pipes A and B can fill a tank in 20 and 30 min resp.If both the pipes are used
together , then how long will it take to fill the tank?
a)12 min b)15 min c)25 min d)50 min
10.Three pipes A,B and C can fill a tank in 6 hours.After working at it together for 2 hrs,
C is closed and A and B can fill the remaining part in 7 hours.The number of hours
taken by C alone to fill the tank is
a)10 b)12 c)14 d)16
11.A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in
9 hrs.If both the taps are opened simulataneously,then after how much time will the
cistern get filled?
a)4.5 hrs b)5 hrs c)6.5 hrs d)7.2 hrs
12.Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes resp.Both pipes
are opened.The cistern will be filled in just half an hour,if the pipe B is turned off
after
a)5 min b)9 min c)10 min d)15 min
13.A tap can fill a tank in 6 hours.After half the tank is filled,three more similar taps
are opened.What is the total time taken to fill the tank completely?
a)3 hrs 15 min b)3 hrs 45 min c)4 hrs d)4 hrs 15 min
14.Two pipes can fill a tank in 20 and 24 min resp. and a waste pipe can empty 3 gallons
per minute.All the three pipes working together can fill the tank in 15 min.The capacity
of the tank is
a)60 gallons b)100 gallons c)120 gallons d)180 gallons
15.A water tank is two fifth full.Pipe A can fill a tank in 10 min and pipe B can empty it
in 6 min.If both the pipes are open,how long will it take to empty or fill the tank
completely?
a)6 min to empty b)6 min to fill c)9 min to empty d)9 min to fill
16.A leak in the bottom of a tank can empty the full tank in 8 hours.An inlet pipe fills
water at the rate of 6 litres a min.When the tank is full,the inlet is opened and due to
the leak,the tank is empty in 12 hrs.How many litres does the cistern hold?
a)7580 b)7960 c)8290 d)8640
17.Pipe A can fill a tank in 5 hrs,pipe B in 10 hrs and Pipe C in 30 hrs.If all the pipes
are open,in how many hours will the tank be filled?
a)2 b)2.5 c)3 d)3.5
18.A booster pump can be used for filling as well as for emptying a tank.The capacity of
the tank is 2400 cubic meter.The emptying capacity of the tank is 10 m^3 per min higher
than its filling capacity and the pump needs 8 min lesser to empty the tank than it needs
to fill it.What is the filling capacity of the pump?
a)50 b)60 c)72 d)none of these
19.Pipes A and B can fill a tank in 5 and 6 hours respectively.Pipe C can empty it in 12 hrs.
If all the three pipes are opened together,then the tank will be filled in
a)1 13/17 hrs b)2 8/11 hrs c)3 9/17 hrs d)4 1/2 hrs
20.Three taps A,B and C can fill a tank in 12,15 and 20 hours respectively.If A is open all
the time and B and C are open for one hour each alternately,the tank will be full in
a)6 hrs b)6 2/3 hrs c)5 hrs d)7 1/2 hrs
21.Three pipes A,B and C can fill a tank from empty to full in 30 min,20 min and 10 min resp.
When the tank is empty,all the three pipes are opened A,B and C discharge chemical solutions
P,Q and R respectively.What is the proportion of solution R in the liquid in the tank after
3 min
a)5/11 b)6/11 c)7/11 d)8/11
22.Two pipes A and B can fill a tank in 6 hrs and 4 hrs resp.If they are opened on alternate
hours and if pipe A is opened first,in how many hours,the tank shall be full?
a)4 b)4 1/2 c)5 d)5 1/2
23.Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively.There is
a third pipe in the bottom of the cistern to empty it.If all the three pipes are simultaneously
opened,then the cistern is full in 50 min.In how much time,the third pipe alone can empty
the cistern?
a)90 min b)100 min c)110 min d)120 min
24.Two pipes A and B can fill a cistern in 12 min and 15 resp,while a third pipe C can empty
the full tank in 6 min.A and B are kept open for 5 min in the beginning and then C is also
opened.In what time the cistern is emptied?
a)30 min b)33 min c)37 1/2 min d)45 min
25.A pump can fill a tank with water in 2 hrs.Because of a leak,it took 2 1/3 hours to fill the
tank.The leak can drain all the water of the tank in
a)4 1/3 hrs b)7 hrs c)8 hrs d)14 hrs
26.A large tanker can be filled by two pipes A and B in 60 min and 40 min resp.How many min will
it take to fill the tanker from empty state if B is used for half the time and A and B fill
it together for another half?
a)15 min b)20 min c)27.5 min d)30 min
27.Two taps A and B can fill a tank in 5 hrs and 20 hrs resp.If both the taps are open then due
to leakage,it took 30 min more to fill the tank.If the tank is full,how long will it take
for the leakage alone to empty the tank?
a)4 1/2hrs b)9 hrs c)18 hrs d)36 hrs
28.Two pipes A and B can fill a tank in 15 hrs and 20 hrs resp while a third pipe C can empty
the full tank in 25 hrs.All the three pipes are opened in the beginning.After 10 hours,C is
closed.In how much time will the tank be full?
a)12 hrs b)13 hrs c)16 hrs d)18 hrs
29.Two pipes A and B together can fill a cistern in 4 hours.Had they been opened separately,then
B would have taken 6 hours more than A to fill the cistern.How much time will be taken by A
to fill the cistern separately?
a)1 hr b)2 hrs c)6 hrs d)9 hrs
30.Two pipes A and B can fill a tank in 15 min and 20 min resp.Both the pipes are opened together
but after 4 min,pipe A is turned off.What is the total time required to fill the tank?
a)10 min 20 sec b)11 min 45 sec c)12 min 30 sec d)14 min 40 sec
31.One pipe can fill a tank three times as fast as another pipe.If together the two pipes can
fill the tank in 36 min,then the slower pipe alone will be able to fill the tank in
a)81 min b)108 min c)144 min d)193 min
32.A tank is filled in 5 hrs by three pipes A,B and C.The pipe C is twice as fast as B and B is
twice as fast as A.How much time will pipe A alone take to fill the tank?
a)20 hrs b)25 hrs c)35 hrs d)none of these
33.A tank is filled by three pipes with uniform flow.The first two pipes operating simultaneously
fill the tank in the same time during which the tank is filled by the third pipe alone.The
second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the
third pipe.The time required by the first pipe is
a)6 hrs b)10 hrs c)15 hrs d)30 hrs
34.12 buckets of water fill a tank when the capacity of each tank is 13.5 litres.How many buckets
will be needed to fill the same tank,if the capacity of each bucket is 9 litres?
a)8 b)15 c)16 d)18
35.Bucket P has thrice the capacity as bucket Q.It takes 60 turns for bucket P to fill the
empty drum.How many turns it will take for both the buckets P and Q,having each turn together
to fill the empty drum?
a)30 b)40 c)45 d)90
36.Two pipes A and B can fill a tank in 12 min and 15 min respectively.If both the taps are opened
simultaneously,and the tap A is closed after 3 minutes,then how much more time will it take
to fill the tank by tap B?
a)7 min 15 sec b)7 min 45 sec c)8 min 5 sec d)8 min 15 sec
37.Pipes A and B can fill a tank in 5 and 6 hours respectively.Pipe C can empty it in 12 hrs.
If all the three pipes are opened together,then the tank will be filled in
a)1 13/17 hrs b)2 8/11 hrs c)3 9/17 hrs d)4 1/2 hrs
38.Three taps A,B and C can fill a tank in 12,15 and 20 hours respectively.If A is open all
the time and B and C are open for one hour each alternately,the tank will be full in
a)6 hrs b)6 2/3 hrs c)5 hrs d)7 1/2 hrs
39.Three pipes A,B and C can fill a tank from empty to full in 30 min,20 min and 10 min resp.
When the tank is empty,all the three pipes are opened A,B and C discharge chemical solutions
P,Q and R respectively.What is the proportion of solution R in the liquid in the tank after
3 min
a)5/11 b)6/11 c)7/11 d)8/11
40.Two pipes A and B can fill a tank in 6 hrs and 4 hrs resp.If they are opened on alternate
hours and if pipe A is opened first,in how many hours,the tank shall be full?
a)4 b)4 1/2 c)5 d)5 1/2
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