L.C.M & H.C.F or G.C.M
1. Find the L.C.M of
8,10,15,16,20 is
2. Find the L.C.M of 15,20,48, is
3. Find the H.C.F of 2367 and
1315 is
4. Find the G.C.M of 48,72,84 is
5 Find the L.C.M of
12/17,15/289,53/4913 is
6. Find the G.C.M of
8/9,64/81,10/27 is
7. The L.C.M of two number is 1860 and their H.C.F is 310. If one of the number is 620. Find the other is.
8. If the product of two numbers
is 324 and their H.C.F is 3. Find the L.C.M
is.
EXERCISE:
I. Find the L.C.M of the
following:
1. 64,96,112,72 2. 15,16,35,56
3. 3240,2160,1540 4. 7/9,3/36,11/108
5. 3/12,4/108,5/144,6/168.
II. Find the G.C.M of the
following:
1. 385 and 429 2. 625,3125
and 15625
3. 153,680 and 408 4. 8/15,56/225,176/75
5. H.C.F of two numbers is 119 and their L.C.M is 11781. If one number is 1071. Find the other number is.
TIME AND DISTANCE
1. A Train, 132mts long, passed
telegraph pole in 6 sec. Find the speed
of the train.
2. A 80mts long Train passed a
120mts long plate form in 20sec. Find
the speed of the train par hour.
3. A train 320mts long at the speed of 40km/hrs passed a pole. How much time it will take to pass the pole.
4. A 160mts long train passed a 440mts
long bridge at the speed of 90km/hrs. Find
the time taken by the train in passing the bridge.
5. A train running at a speed of 18km/hrs crosses a pole in
25sec. What is the length of the train.
6. A train of length 130mts travelling at a speed of 45km/hrs passes
a bridge in 30sec. Find the length of
the bridge.
7. A train travels 432km in
12hrs. What will be its speed in metre
per second.
8. Two trains 120mts and 180mts long are running opposite direction
on parallel rails. Their speeds are
40kms and 35kms per hour. Find the time
taken to pass each other.
9. A train is running at the speed of 68km/hrs. How much distance will the train cover in
3hrs 15minutes.
10. A boat goes 35kms is 5hrs along the river and comes back at the
starting place in 7hrs. Find the speed of the boat in still water.
EXERCISE:
1. The speed of the train is
90km/hrs. What is its speed in mts/sec.
2. The speed of a bus is
20mts/sec. What is its speed in km/hrs.
3. In how many hours a bus covers
450km at 25mts/sec.
4. A train crossed a pole in 8sec.
If the speed of the train in 63km/hrs. Find the length of the train.
5. A 140mts long train passed a
pole in 12sec. Find the speed of the
train.
6. A 180mts long train cross the
pole in 9sec. Find the speed of train.
7. A 540mts long train train crossed a 180mts long cove with a speed
of 54km/hrs. How much time the train will take to cross
this cave.
8. A train 110mts in length runs through
a station at the rate of 36km/hrs. How
long will it take to pass a given point.
9. What is the length of the
bridge which a man riding 15km/hrs can cross in 3min.
10. A train passes through a tunnel
whose length 500mts in 1minute moving
at the speed of 72km/hrs.
11. By the speed of 28.5km/hrs a
man will cover the distance of in 3hrs and
48min.
AVERAGE
1. Find the average of
48,72,69,41 and 50 is.
2. The average marks obtained by 30 boys are 55 and the average marks
of 20 girls is 40. What is the average mark of all the students
in the class.
3. The average of 11 numbers is 40.
The average of first 5 numbers is 36 and the average of last 5 numbers
is 43. What is the 6th number.
4. The average age of 12 boys is 15 years. If the average age of first two boys in 20
years. Find the average age of the other
10 boys.
5. Average of 3 numbers is 7 and the average of 2 of them is 4. Find the 3rd number.
6. A Batman has a certain average of runs
for 16th innings. In the 17th innings, he makes a score of 85 runs there by increasing
his average by 3. What is the average of
17th innings.
7. The average weight a class of 20 students is 84kgs. If weight of the teacher be included the average
raised by 3kgs. What is the weight of the
teacher.
8. The average weighty of 8 men is increased by 1.5kg Men one of the
men who weights 65kg is replaced by a new man.
The weight of the new man is.
9. The average weight of 8 men is decreased by 3kgs when a men whose
weight is 90kgs goes out and a new man joins them. Find the weight of the new man.
10. Average temperature on Sunday, Monday and Tuesday was 960 and that on Monday, Tuesday and
Wednesday was 990.
If the temperature on Wednesday was 1030. Find out the temperature on Sunday.
11. Vanshi covers a journey from Guntur
to Hyderabad by
car at an average speed of 40km/hrs. He
returns back by Scooter with an average speed of 24km/hrs. Find his average speed during the whole
journey. (Hint: 2xy/x+y)
12. A cricketer makes 20 runs
average in 5 innings and he make a score of 17,13,20,14in
four innings. How many runs in 5th
innings.
EXERCISE:
1. Find the average of
4,2,0,6,9,8 is
2. A cricketer makes 72,59,18,101,7 runs respectively in 5 matches
played by him. Find his average score.
3. Average age of the 40 girls of a class is 15 years. Out of those the average age of 24 girls is
14 years. What will be the average are
of the remaining girls.
4. Average of 4 number is 6 and the average of 3 of them is 5. Find the 4th number is.
5. The average of 11 results is 50.
If the average of first six results is 49 and that of lasts six is 52.
Find the sixth result.
6. 3kg decrease the average weight of 10 men when one of them whose weight is 80kgs is replaced by
a new person. What is the weight of the new person.
7. The average weight of 40 students is 79kgs. If weight of the teacher be included the
average will be increased by 1kg. Find
the weight of the teacher.
8. The average temperature of Monday, Tuesday and Wednesday was 400. The average for Tuesday, Wednesday and Thursday was 410. If the temperature on Thursday
will be 420.
Find the temperature on Monday.
9. A man goes to his destination at a speed of 75km/hrs and comes
back at a speed of 50km/hrs. His average
speed will be.
10. The average age of 5 boys is 12
years. Find the average age after 10 years.
11. A boat has covered a distance of 40kms in 4hrs, which the flow of
the river and takes 8 hrs in
return (opposite side of the river flow).
Find the speed of the boat in still water.
TIME AND WORK
1. Vineeth completed a work in 9
days he was one day work is.
2. Vamshi
completed a work in 15 days. He was 1/3
work was completed in.
3. Pathusha one-day work is 1/20 days. He was completed the work in how many days.
4. If A can do a work in 4 days and B alone can do it in 6
days. In how many days A and B together
can do the work.
5. A and B together can do a work in 30 days and A alone can do it
40 days. In how many days B alone do it.
6. 20 man can complete a work in 39 days. In how many days his work will be completed
by 26 men.
7. 6 men can earn Rs.150/-in 10 days. How much money will be earned by 8 men in 7
days.
8. If 9 men can do a piece of work in 7 days, working 10 hours a day,
how many hours a day must 6 men of similar strength work to complete the work
in 30 days.
9. In a fort 2000 soldiers have provision of ration for 54
days. After 15 days some new soldiers
have come and the ration was finished in 20 days. How many numbers of new soldiers have come.
10. 12 men or 18 women can do a piece of work in 14 days. How many days will 8 men and 16 women take to complete the work.
11. There are three taps fitted in a tank A can fill up the tank 60
minutes and B in 75 minutes while C empties in 100 minutes. If the three taps work together in how much
time the taps will be able to fill the empty tank.
12. A school has 8 periods. The
duration of each period is 3/4hours.
What is the total duration of 8 period.
13. A can do a work in 10 days.
B in 12 days and C in 15 days. They
(three) work for 2 days and then B left the work. In how many days A and C can left the
complete the work.
14. 4 man earned equal to 5 women.
3 women earned equal to 8 boys.
If 6 boys earned Rs.72/- per day then how many rupees earned by one men in
a day.
EXERCISE:
1. Vijay completed a work in 7
days he was one work is.
2.
raju completed a work in 12
days. He was 1/4 work was completed in.
3. Anusha one day work is 1/3 days.
He was completed the work in how many days.
4. A can do a work in 15 days, while B can do it in 30 days. In how many both will complete the work.
5. A and B together can do a piece of work in 6 days. A alone can do it in 10 days, what time will
B require to do it working alone.
6. If 6 men can do a piece of
work in 20 days. How many days will 10
men take to do it.
7. If 5 men earns Rs.60/- in 12 days, then how much repees will be
earned by 6 men in 20 days.
8. 18 men or 36 boys can do a piece of work in 57 days. In how many days 16 men and 25 boys will
complete the work.
9. 45 men can do a piece of work in 24 days doing 8 hours per
day. Then how many hours should work per
day so that 36 men can finish the work
in 40 days.
10. Two pipes can fill a tank in 10 hours and 12 hours respectively
while the third can empty it in 20 hours.
If all the pipes are opened together, then the tank will be filled in.
PARTNERSHIP
1. A,B and C invested Rs.32,000/-, 36,000/- and 46,000/- in a
business. At the end they got profit of
Rs.11,400/-. Find each share.
2. A, B and C started a business with Rs. 7,000/-,9,000 and 11,000/-
respectively. At the end they got profit
of Rs. 8,100/-. Find each Share.
3. A,B and C entered into a partnership in business. A gave Rs.2,000/- for 5 months B gave Rs.1,200/-
for 6 months and C gave Rs.2,500/- for 3 months. At the end of time they got profit of
Rs.2,470/-. Find share of each.
4. A, B and C start a business with
Rs.6,000/-,8,000/-,10,000/- respectively after 6 months A invested Rs.2,000/-
more and B withdraws Rs.2,000/-. At the
end of a year from the start they get a profit of Rs.4,800/-. Find each share.
5. A, B and C took a house on rent for 2 years on Rs.1,800/- per
year. They lived 5 month together than C left after 8 months from C, B also left.
A lived alone for the whole time. Find paid by each.
1. Find the simple interest on
Rs.6,000/- for 5 years at 8% p.a.
2. Find the simple interest on a
sum of Rs. 2,500/- at 6% p.a, for 73 days.
3. Find the rate of interest when principal is Rs.500/- time 4 years
and simple interest is Rs.40/-.
4. In how many years a sum of Rs.500/- will be Rs.600/- on simple
interest at the rate of 5% per year.
5. What sum of money will yield
Rs.40/- as interest in 2 years at 5% simple interest.
6. What rate of percent annum a
sum of money will become 11/10 times in 4 years.
7. The simple interest on a sum equals 1/10 of it self in 4
years. Find the rate of interest.
8. A sum is given on simple interest. It become Rs.1,744/- in 2 years and Rs.1,960/-
in 5 years. Find out the sum and rate%.
9. How many years will a sum of
money double itself at % p.a in simple interest.
10. What sum of money will yield
Rs. as interest in 5 years at 4% p.a.
EXERCISE:
1. Find simple interest of
Rs.600/- for 4 years at 6% p.a.
2. In how many years will be Rs.2,500/- amount to Rs.3,000/- at 5% simple
interest per annum.
3. What sum will produce Rs.100/-
as interest in 2 years at 5% per annum.
4. In what time will the simple
interest on Rs.4,000/- at 6% p.a be Rs.600/-
5. Find rate of interest of a sum
Rs.1,200/- in 3 years on interest Rs.180/-.
6. Find the simple interest on
Rs.24,000/- for 8 years 4 months at 3% per annum.
(Hint: N=81/3)
7. A certain sum of money amounts to Rs.2,080/- in 3 years and to Rs.2,400/-
in 5 years. What is the sum.
8. In how many years will a sum of money becomes double it self, at
the rate of 5% simple interest.
9. The simple interest of Rs.1,400/-, at the rate of 14% for a
period from 5th February, 1996 to
18th April, 1996 will be.
10. In how many years a sum of Rs. 600/-
will be Rs.800/- on simple interest at the
rate of 5% per annum.
COMPOUND INTEREST
1. Find the compound interest on
Rs.10,000/- for 2 years at 5% per annum
2. What sum will become at compound interest Rs.4,732/- in 2 years
at 4% per annum.
3. In what time the compound interest will be Rs.1,261/- of
Rs.8,000/- at 5% per annum.
4. The difference between the compound interest and simple interest
is Rs.15/-. Find the Principal when rate is 5% p.a. for 2
years.
5. Difference of simple interest and compound interest of Rs.500/-
for 2 years at 5% p.a will be.
EXERCISE:
1. Find the compound interest of
Rs.12,000/- at 4% p.a. for 2 years.
2. Find the compound interest on
Rs.30,000/- for 3 yealrs at 10% p.a.
3. At what rate percent per annum compound interest will Rs.6,250/- amount
to Rs.6,760/- in 2 years.
4. What sum will amount to
Rs.15,000/- in 3 years at 25% p.a. compound interest.
5. The difference between C.I and S.I on Rs.2,000/- for 2 years is
Rs.5. What is the rate percent per
annum.
PERCENTAGE
1. 38 is what percentage of 152.
2. What percentage is 186 of 200.
3. 20Ps. is what percentage of
Rs.18.
4. 14mts is what percentage of
7km.
5. Find 15% of 40.
6. A student got 300 marks out of
400. Find the percent he secured.
7. A student gets 40% marks and
he gets 360 marks. Find the total marks.
8. There are 36 girls out of 60
students. Find the percent of girls.
9. If 30% of numbers is 279. Find the numbers is.
10. 60% students failed in an examination if 400 students passed then
find the total numbers of student.
11. A students gets 40 marks in an examination and fails by 40
marks. If the pass marks are 40%. Find
the total number of marks.
12. In an army 10% soldiers were lost in war, 10% of the remaining died
due to illness and 10% of the balance were declared unfit for war. If 7,29,000 soldiers are still alive, find
out the total strength of the army before war.
13. At an election a candidate
secured 40% of votes and is defeated by the other candidate by a majority of 298 votes. Find the total number of votes polled.
14. The price of sugar increased by 20%. How much percent must a house-hold reduce his
consumption’s of sugar so as not to increase his expenditure.
15. A’s salary is 25% higher than B’s
salary, how much percent is B’s salary lower
than A’s.
16. A student gets 20% marks and faileld by 60 marks, another student
gets 32% and his marks are 84 more than pass marks. Find the maximum number of marks.
17. In an examination 80% candidate were passed in English and 70% in math’s. 10% were failed in both subject. If 144 students passed in both subjects. Find the number of candidates.
EXERCISE:
1. Find the 60% of 70 is.
2. A student got 540 marks out of
600. Find the percent he secured.
3. If 80% of X=30, than the value
of X will be.
4. What is 12.5 of 1,600.
5. What is 20% of 50% of 1kg in
grams.
6. A student gets 45% marks and
he secured 405. Find the total marks.
7. A’s income is 50% below
B’s. How much percent is B’s income
above A’s.
8. What percent is 1.5 of 7.5.
9. In a class of strength 530 numbers 350 peoples can speak English
and 130 people can speak Hindi. How
many people can speak both English and Hindi.
10. The adult population of village is 6,400. If 30% of the population are literate, what is
the number of illiterate.
11. A students gets 1,110 marks and fails by 3%. If pass marks are 40% then the total marks
are.
RATIO AND PROPORATION
1. If 24:32::X:60, than X is.
2. If 8:X::X:50 than X is.
3. If A:B=1:3, B:C=6:5, what is
the value of A:B:C.
4. If A:B=2:3: B:C=9:4, C:D=8:1,
what is the value of A:B:C:D,
5. Find thr ration of 2/3,7/9 is.
6. Divide Rs.1,950/- among A,B
and C so that A:B=3:4, B:C=2:3. Find each
share.
7. If Rs.1,240/- is divided into three parts in proportional to the
fractions 1/2,1/3,1/5. Find each share.
8. Rs.5,600/- were divided
between A, B, C in the ratio of 7:4:3.
Find each share.
9. Divide Rs.1,245/- among 3
person so that if Rs.10/-,15/-,20/- are subtracted
from their shares then the ration of their shares becomes 3:4:5. Find each share.
10. Rs.49/- were divided among 150
children. Each girl got 50paise and a boy 25paise. How many boys were there.
EXERCISE:
1. If 5:7::15:X, then X is.
2. If 16:X::X:4, than X is.
3. If A:B=6:7, B:C=8:9 than find
the ratio of A:B:C.
4. Find the ration of 1/2,1/3,1/4
is.
5. If A:B=3:4,B:C=5:6, C:D=11:9,
than A:B:C:D.
6. Divide Rs.2,790/- among A,B,C so that A:B=5:4 and B:C= 3:1
ratios. Find each share.
7. Divide Rs.6,650/- in
2/3,3/4,4/5 ratio. Find the each share.
8. Divide Rs. 680/- so that A gets three times more to B and B gets
four times to C. find each share.
9. A man has Rs.160/- in
one-rupee, five-rupee and ten-rupee notes.
If he equal number of notes
of all types, the total number of notes the man has is.
PROFIT AND LOSS
1. Ram purchased a T.V set for Rs.10,000/- and he sold for
Rs.12,000/-. Find the gain%.
2. A boy bought a radio for
Rs.500/- and sold it for Rs.450/-. His
loss percent is.
3. On selling a horse for
Rs.1232/-. My gain is 12%. Find cost price.
4. An
article is sold for Rs.585/- at a loss of 10% the cost price of the article is.
5. A boy purchased a book were Rs.225/-. He sold a gain 15%. Find the selling price is .
6. A man purchased a house for Rs.4,200/- and expenditure Rs.800/-
on its repair. He sold it having of
gain. Find the selling price of the house.
7. A watch was sold at a loss of 10%. If it had been sold for Rs.10/- more, it
would gain 10%, find its cost price.
8. A person sells two horse at Rs.9,600/- each. On one he gains 20% and on other he losses
20%. Find the gain or loss%.
9. A sold a house to B at a gain of 20%, B sold it to C at gain of
25% and C sold it to D at gain of 40%.
It D had purchased it for Rs.42,000/-.
Find the cost price of A is.
10. If oranges are bought at the rate of 11 for Rs.10/- and sold
the rate of 10 for
Rs.11/-. Find gain% is.
11. Boy selling oranges of 28 for a rupee. A fruit seller loss 4%. How many rupees must he sell to gain 12% is.
12. If the CP 10 books is equal to
SP of 8 books. Find the gain% is.
13. An dishonest merchant professes to sell his goods at cost price but
he uses 800 grams weight in place of 1kg.
Find his gain% is.
14. A man sells his horse for Rs.2040/- and gets 15% loss on which
price should be sell the horse so that he may get 15% profit is.
15. If cost of 12 pens is
Rs.60/-. But how many rupees of 18 pens
cost is.
16. Rani
gain Rs.10/- buy selling an article for Rs.100/-. His gain percent is.
17. When 17 dolls cost Rs.l306/-,
cost price of 29 dolls will be rupees is.
EXERCISE:
1. Find out the gain in percentage if articles cost rice is Rs.9.50/-
and selling price is Rs.11.40.
2. An article is sold for Rs.60/-
at a gain of 25%. The cost price of the article
is.
3. An
article is sold for Rs.3,990/- at a loss of 5% the cost price of the article
is.
4. A man bought an article for
Rs.750/- if sold a loss of 20%. Find the
selling price is.
5. A pen-set was sold at a gain
of 5%. If it had been sold for Rs.9
more, it would gain 8%. Find its cost price.
6. A manufacture of an article makes a profit of 25%. The whole sale dealer makes a profit of 20%
and the retailer makes a profit of 28%.
What is the cost of an article
retailed for Rs.48/-.
7. If oranges are bought at the rate of 6 for Rs.5/- and sold at the
rate of 5 for Rs.6/-. Find the gain% is.
8. Boy selling oranges of 32 for a rupee. A man losses 40%. How many a rupee must be sell to gain 20% is.
9. If CP of 16 articles is equal
to the SP of 12 articles. Find the gain
or loss% is.
10. A shopkeeper professes to sell his goods at cost price but false
weight 950 grams instead of 1kg. Find
his gain% is.
11. Boy selling goods for Rs.153/-,
a man loses 10%. For how much should he sell them to gain 20% is.
12. If cost of 13 pens is
Rs.169/-. But how many rupees of 10 pens
cost is Rs.1.
13. 7 pens cost Rs.49. Find the each pen cost.
14. A man gain Rs.24/-. By selling price of 8 bags rice is
Rs.424/-. Find cost price per a bag.
15. 15kg of floor bought for
Rs.5.50/- per kg. He sold floor by
Rs.5.60/- per kg. Find the gain% is.
MISCELLANEOUS
1. A man has began to work on March 1st. A man has finished work was 65 days. After the finish the working date.
2. Some Hens and Cows up in 48 in legs is 140. How many Hens anf Cows is
3. A bag contain 1 quintals 15kgs of rice. How many bags contains 17 quintals 25 kgs of rice.
4. A train travels at the speed of 120km/hrs. How much distance it covers in one minute is.
5. How many days are in 2 weeks
and 6 days.
6. 1mt and 25cms required pant
cloth. How many cloth 20 panties.
7. 12 horses grace complete in 8 days. 4 horses grace completed in how many days.
8. February 5th 1999 work in 65
days. What is date of complete the work.
9. 19 bags sold Rs.1026/- is gain
Rs.76/-. Find the each bag cost.
10. Cost price of 9 books
Rs.207/-. Rs.322 how many books
purchased.
11. Sum of the squares of two numbers is 41 and difference of their
squares is 9. Find the numbers is.
12. Sum of the squares of two numbers is 41 and difference of their
squares is 1. Find the numbers.
13. At present Rani’s mother is four times older than Rani in age. Five years
old she will be three times than Rani.
Find their present ages.
14. Uday’s father is 4 times as old as Uday. Five years ago his father was 9 times as old
as he was then, what is their present age is.
15. If the price of 10kg Tea and 8kg
Coffee is Rs.l46/- and 6kg Tea and 5kg Coffee is Rs.89/-, then the calculate
the price of Tea and Coffee per kg is.
MENSURATION
CIRCLE:
1. The radius of a circular field
is 14mts. Find its area.
2. The circumference of a
circular field is 88mts. Find its
radius.
3. The radius of a circular field
is 28mts. Find its circumference.
4. One meter wire is converted
into a circle. Find the area of the
formed circle.
5. The difference between the circumference of a circle and its
diameter is 120mts. Find the area of the
circle.
6. The radius of a circular wheel is 1.75mts how many revolutions
will it make in traveling 11kms.
7. If the diameter of a circle be
21cms will be its circumference (Sincer=Diameter/2)
8. If the radius of a circle
garden be 42mts, what will be its area is.
9. Find the area of a circle
whose radius is 5cms.
10. Find the diameter of a circle
whose area is 616sq.cms.
RECTANGLE:
1. Find the perimeter of a
rectangle 10cms long and 6cms wide.
2. Area of a rectangular field is 600sq.mts the ratio of its length
and breadth is 3:2. Find its perimeter.
3. The perimeter of a rectangle is 120cms. The ratio of its length and breadth is
3:2. Find its area.
4. The length and breadth of a hall is 15mts and 10mts. If the height be 6mts. Find its four walls of the room is.
5. Length of a room is 12mts, breadth is 8mts and height is
10mts. Find the expenditure on papering
the wall at the rate of Rs.2.40 per sq.mts.
TRIANGLE
1. Find out the area of the
triangle have base is 10.2cms and height is 3.5cms.
2. The base of a right angled triangle is 4cms and perpendicular is
3cms. Find its hypotenuse.
3. Hypotenuse of a right angled triangle is 13mts and its base is
5mts. Find its area.
4. The side of a triangle are
13mts 14mts and 15mts. Find the area of
the triangle.
5. The side of a triangle are
72cms, 30cms and 78cms. Find its area.
6. The side of a triangle are
8mts, 9mts, 11mts. Find area of the
triangle.
7. Find the area of an
equilateral triangle whose side is 16mts.
8. Find the area of an
equilateral triangle whose side is 12mts.
9. Find the side of an
equilateral whose area is cm2.
SQUARE
1. The side of a square plot is
8mts. Find its area.
2. The side of a square room is
18mts. Find its area.
3. The area of a square plot is
361sq.mts. Find its side.
4. The area of a square of a
flore is 441sq.cms. Find its side.
5. The diagonal of a square is
20cms. Find its area.
6. The diagonal of a square is
60mts. Find its area.
7. The area of a square is
200sq.cms. Find its diagonal.
8. The area of a square is
1800sq.mts. Find its diagonal.
9. The side of a square plot is
8mts. Find its perimeter.
10. The side of a square floor is
14cms. Find its perimeter.
11. The perimeter of a square room
is 100mts. Find its area is.
12. The perimeter of a square plot
is 60mts. Find its area.
13. The area of a square is
225sq.mts. Find its perimeter.
14. The area of a square is
2025sq.cms. Find its perimeter.
15. The perimeter of a square is
124mts. Find its side is.