EXERCISE -A
2) If 125 added to a number gives 196, find the number. 71
3) Half of a number added to one-third of the same number gives 10. 12
4) One-fifth of a number increased by 8 is equals to 23. Find the number. 75
5) 4/5th of a number is greater than 3/4th of the number by 4. Find the number. 80
6) if three is added to a number and the sum is multiplied by 5, the number thus obtained is 575. Find the original number. 112
7) If 5 is added to a number and the sum is divided by 8, the quotient is 9 and there is no reminder. Find the number. 67
8) If 4 is added to 5 times a number, the result is 12 more than three times the number. Find the number. 4
9) Twice a number increased by 10 is 14 less than thrice the number. Find the number. 24
10) A number when increased by 6 becomes 4 less than the twice the number. 10
11) Three more than twice a number is equal to four less than the number. Find the number. -7
12) 2/3 of a number is 20 less than the original number. Find the number. 60
13) four-fifths of a number is 10 more than two thirds of the number. Find the number. 75
14) Find the number whose 5th part increased by 5 is equal to its fourth part dimished by 5. 200
15) 3 numbers in the ratio 4: 5: 6. If the sum of the largest in the smallest equals the sum of the third and 55. Find the numbers. 44,55,66
16) If 10 be added to four times a certain number, the result is 5 less than 5 times the number. Find the number. 15
EXERCISE - B
1) Find a number, twice of which decreased by 7 gives 65. 36
2) If 11 subtracted from a number equals 25, find the number. 36
3) 4 subtracted from a number gives 7. Find the number. 11
4) Find a number such that one-fifth of it is less than one-fourth of it by 3. 60
5) if 2 is subtracted from thrice a numbers then the result is 8 less than 5 times the number. Find the number. 3
6) If 4 is subtracted from a number and the difference is multiplied by 7, the number thus obtained is 378. Find the original number. 58
7) if 13 is subtracted from a number and the difference is divided by 17. The quotient is 4 and there is no remainder. Find the number. 81
8) if 6 is subtracted from a certain number, the result is 6 more than twice the number. Find the number. 12
9) if 63 is subtracted from 5 times a number, the result is half the original number. Find the number. 14
10) A number decreased by 8% of itself gives 115. Find the number. 125
11) One -fourth of a number exceeds one-fifth of its succeeding number by 4. Find the number. 8
EXERCISE - C
1) The sum of the two numbers is 95. If one exceed the other by 15, then smaller of the two is. 40
2) One-half of a number is equal to one-third of its succeeding number. Find the first number. 2
3) The sum of two consecutive even integers is 54. Find the integers. 26,28
4) The sum of an integer and twice the next integer is 41. Find the two integers. 13,14
5) Find two consecutive positive odd integers whose sum is 156. 77,79
6) Find two consecutive positive even integers whose sum is 130. 64,66
7) The sum of two consecutive even integers is 54. Find the integers. 26,28
) The supplementary angle of an angle is twice angle of itself. Find the angle. 60°
8) Two supplementary angles differ by 50°. Find the measure of each angle. 65,115
9) The difference of the squares of two consecutive even natural number is 92. Find the numbers. 22124
10) Find two consecutive even integers such that two fifth of the smaller exceeds two eleventh of the larger by 4. 20, 22
11) Find two consecutive odd integers such that two-fifth of the smaller exceeds two-ninth of the greater by 4. 25,27
12) An integer when increased by 11 becomes 2 less than thrice the next integer. Find the integer. 5
13) Two numbers are in the ratio 5:3. If they differ by 18. What are the numbers? 45, 27
14) Two numbers are in the ratio 8:3. If the sum of the numbers is 143. Find the numbers . 104, 39
15) The sum of two number is 58 and their difference is 12. Find the numbers. 35,23
16) Find two positive numbers in the ratio 2:5 such that their difference is 15. 10,25
17) Sum of two number is 95. If one exceeds the other by 15, find the numbers . 40,55
18) Divide 88 into two parts such that when the larger is divided by the smaller, the quotient is 3 and the remainder is 4. 67,21
19) Divide 4500 into two parts such that t% of the first part is equal to 10% of the second part . 3000, 1500
20) 24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.nnn. 13,11
21) Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio between the new numbers so formed is 5:7. Find the original numbers. 15,25
EXERCISE - D
1) The sum of three consecutive integers is 78. Find them. 25,26,27
2) Find three consecutive natural numbers whose sum is 120. 39,40,41
3) The sum of the three consecutive whole numbers is 153. Find the largest number. 52
4) The sum of three consecutive multiples of 8 is 888. Find the multiples. 288, 296, 304
5) The sum of three consecutive odd numbers is 129. What are the numbers ? 41,43,45
6) When three consecutive even integers are added, the sum is zero. Find the integers. -2,0,2
7) The sum of the three consecutive odd numbers divide 129. What are the numbers. 41,43,45
8) The sum of the three consecutive multiples of 11 is 363. Find these multiples. 110,121,132
9) The sum of three consecutive positive even integers is 18 more than twice the smallest. Find the integers. 12,14,16
10) Find three consecutive odd numbers whose sum is 147. 47,49,51
11) Find 3 consecutive even numbers whose sum is 234. 76,78,80
12) Sum of the three consecutive integers is 51. The middle one is. 17
13) When 4 consecutive integers are added, the sum is 46. find the integers. 10,11,12,13
EXERCISE - E
1) The digits of a two digit number differ by 7. If the digits are interchanged and the resulting number is added to the original number we get 121. Find the original number. 29 or 92
2) The digits of a two-digit number differ by 3. If the digits are interchanged and the resulting number is added to the original number, we get 143. What can be the original number ? 58 or 85
3) The ten's digit of a two digit number exceeds its unit's digit by 5. When digits are reversed , the new number added to the original number becomes 99. Find the original number. 72
4) A number consists of two digits. The digit at ten's place is twice the digit at unit's place. The number formed by reversing the digit is 27 less than the original number. Find the original number. 63
5) A two digit number is such that ten's digit exceeds twice the unit's digit by 2 and the number obtained by interchanging the digits is 5 more than 3 times the sum of the digits. Find the number. 83
6) The sum of two numbers is 77. When, the larger number is divided by the smaller one, we get 3 as quotient and 5 as remainder. Find the numbers. 18, 59
7) The sum of two numbers is 90 and the greater number exceeds thrice the smaller by 14. Find the numbers. 19, 71
8) The sum of the digits of a two digit number is 12. If 18 is added to it, the digits are reversed . Find the number. 57
9) Sum of the digits of a two digit number is 11. When we interchange the digits, it is found that the resulting new number is greater than the original number by 63. Find the two digit number.
10) The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54. Find the original number. 39
11) The digit in the tens place of a two digit number is three times that in the unit place. If the digits are reversed , the new number will be 36 less than the original number. Find the original number. 62
EXERCISE - G
1) What number should be added to each of the number 3, 5, 13 and 19 so that the resulting numbers be in proportion. 2
2) What number should be added to each of the numbers 12, 22, 42 and 72 so that the resulting numbers maybe in proportion? 3
EXERCISE - H
1) Ramesh gives 1/3 of his income to his son, one-fourth to his daughter, and one-fifth to his wife. If he is left with Rs2600, what is his income ? Rs12000
2) When a number is multiplied by 4 and then 20 is subtracted from the result, we get 360.4. Find the number. 95.1
3) In a class of 60 students, the number of boys is thrice that of girls. Find the number of boys and girls.
4) Divide Rs240 between two persons so that one gets Rs50 more than other. Rs95, Rs145
5) Divide Rs124 between two persons so that one gets three times other. Rs31,Rs93
6) Divide Rs135 between two persons so that one get Rs9 less than the other. Rs72, Rs63
7) Divide Rs110 between two friends so that one gets Rs16 more than the other. Rs47, Rs63
EXERCISE- I
1) A man is 38 years old and his son is 10 years old. After how many years will he be three times as old as his son ? 4 years
2) A man is 32 years old and his son is 5 years old. How many years hence will the father's age be four times that of the son ? 4 years
3) A man is 42 years old and his son is 12 years old. How many years ago was the father's age six times that of the son. 6 years
4) A man is 5 times as old as his son. He will be three times as old as his son after 10 years. Find their present ages. 10, 50
5) A man is 10 times older than his grandson. He is also 54 years older than him. Find their present ages. 60,6 years
6) Five years ago, a man was seven times as old as his daughter. Five years hence, the man will be three times as old as his daughter. Find their ages. 10, 40
7) 10 years ago, A man was 6 times as old as his daughter. After 10 years, he will be twice as old as his daughter. Find their present ages. 40,15
8) 2 years ago, Dilip was three times as old as his son and 2 years hence, twice his age will be equal to 5 times that of his son. Find their present ages. 14, 38 years
9) A father is 7 times as old as his son. Two years ago, the father was 13 times as old as his son. How old are they now. 28,4 years
10) A father's age is 3 times the sum of the ages of his two sons. 5 years later he will be twice the sum of ages of his two sons. Find the present age of the father. 45 years
11) Ram is 6 times as old as his granddaughters Meena.
a) If Meena's present age is x years, write down in terms of x the age of Ram in 15 years time.
b) In 15 years time , Ram will be three times as old as Meena, find their present ages. 60, 10
12) A boy is 5 years older than his sister. How old are they if their ages are in the ratio 4:3 ? 20, 15 years
13) A woman's son is 2 years older than her daughter. Her age is three time the sum of the ages of her children. After 5 years she will be 47 years old. Find the present ages of the children . 8, 6 years
14) A woman is 7 times old as her son. After 5 years, she will be four times as old as her son. What are the present ages of the mother and son. 35, 5 years
15) Ritu is now four times as old as his brothers Raju. In 4 years time, her age will be twice of Raju's age. What are their present ages. 8,2 years
16) Meena is 5 times as old as her son Ashish. In 8 years time, Meena will be three times as old as Ashish. Find their present ages. 40,8
17) The ages of a and b are in the ratio 5:7. 4 years from now the ratio of their ages will be 3:4. The present age of B. 28 years
18) Rakhi's mother is four times as old as Rakhi. After 5 years, her mother will be three times as old as she will be then. Find their present ages. 40, 10
19) Manoj's father is 26 years younger than Manoj grandfather and 29 years older than Manoj . The sum of the ages of all the three is 135 years. What is the age of each one of them ? 17,4672 years
20) The difference between the ages of 2 cousins is 10 years. 15 years ago, if the elder one was twice as old as the younger one. Find their present ages. 35,25
21) The ages of A and B are in the ratio 7:5. Ten years hence, the ratio of their ages will be 9:7. Find their present ages. 35, 25
22) The ages of Mona and Monali are in the ratio 5:3. Five years hence, the ratio of their ages will be 10:7. Find their present ages. 15,9 years
23) The ages of A and B are in the ratio 9:4. Seven years hence, the ratio of their ages will be 5:3. Find their present ages. 18,8
24) The present ages of Rohit and Mayank are in the ratio 11:8, 8 years later the sum of their ages will be 54 years. What are the present ages. 22,16 years
25) Ram's father is 26 years younger than Ram's grandfather and 29 years older than Ram. The sum of the ages of all three is 135 years. What is the age of each one of them? 17, 46, 72
26) A woman's son is 2 years older than her daughter. Her age is three times the sum of the ages of her children. After 5 years she will be 47 years old. Find the present ages of the children. 8,6
EXERCISE - J
1) The price of Apples per kilogram is twice that of oranges . Amit buys 3 kgs of apples and 2 kg of oranges for Rs160. Find the price of apples and that of oranges per kilogram. Rs40, Rs20
2) The cost of 3 identical chairs and two identical tables is Rs2140. If the chair costs Rs120 less than a table, find the price of chair and that of a table. Rs380, Rs500
3) A bag of rice weighs 20 kg more than one of sugar. If 50 kg of sugar is added to the second bag, its weight becomes twice that of the bag of rice. Find the weight of the bag of rice. 30kg
4) A boy bought some sweets at Rs5 each and some samosas at Rs3 each . The number of sweets and samosas added up to 25, and he paid Rs95. Find the individual number of sweets and samosas he bought. 10 sweets and 15 samosas
5) The total cost of a desk and a chair is Rs477. If the desk costs 12% more than the chair, find the cost of each. 252,225
6) By selling a bicycle for Rs1885, a man gains 16%. At what price did he buy the bicycle ? 1625
7) By selling a TV set for Rs27600, a trader makes a profit of 15%. What is the cost price of the set ? 24000
EXERCISE - K
1) The perimeter of a rectangle is 144 cm. if one of the two adjacent sides is 20 cm longer than the other, what are the lengths of the sides ? 26, 46 cms
2) The perimeter of a rectangular farm is 400 m and its length is 120m. Find its breadth. 80m
3) The perimeter of a rectangle is 44cm. If one of the two adjacent side is 1.8cm longer than other, what are the length of the sides. 11.9 cm, 10.1 cm
4) The perimeter of a rectangle is 240cm. If its length is in decreased by 10% and breath is increased by 20%, we get the same perimeter. Find the length and the breadth of the rectangle. 80,40
5) The perimeter of a rectangular park is 80m. If the length of the park be decreased by 2 m and breath increased by 2 metre, the area will be increased by 36m². Find the original length and the breath of the park. 30,10
6) The perimeter of a rectangle plot of land is 90m. If its length is increased by 2m and breadth decreased by 3m, then its area is decreased by 41m². Find the original length and breadth of the plot. 25, 20
7) The length of a rectangle is 5 cm less than twice its breadth. If the length is decreased by 3cm and breadth increased by 2cm, the perimeter of the resulting rectangle is 72cm. Find the area of the original rectangle. 322cm²
8) A rectangle is 10 cm long and 8cm wide. When each side of the rectangle is increased by x cm, its perimeter is doubled . Find the area of the new rectangle. 323cm²
9) The length of a rectangle exceeds its breath by 9cm. If the length and the breadth are each increased by 3cm, the area of the new rectangle will be 84cm² more than that of the given rectangle . Find the length and breath of the given rectangle . 8,17cm
10) The cost of a carpet 10m long is Rs1600. If its breadth were 2m less, the cost would have been Rs1200. Find the original breadth of the carpet . 8
11) The length of a rectangle exceeds its breadth by 7cm. If the length is decreased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the same as area of the original rectangle. Find the length and the breadth of the original rectangle . 16,9
12) The width of a rectangle is two-thirds it's length. If the perimeter is 180 m, Find the dimensions of the rectangle.n. 54,36
13) If the angles of a triangle are in the ratio 5:6:7, Find the angles. 50,60,70
14) The height of a triangle is 3 cm more than its base. If the area of the triangle is 104 cm², find the lengths of its base and and height. 13, 16
15) If each side of a triangle is increased by 4cm, the ratio of the perimeter of the new triangle and the given triangle is 7:5. Find the perimeter of the given triangle. 30cm
16) Two angles of a triangle are in the ratio 4:5. If the sum of these angles is equal to the third angle, find the angles of the triangle. 40,50,90
17) An altitude of a triangle is five-thirds the length of its corresponding base. If the altitude be increased by 4cm and the base is decreased by 2cm, the area of the triangle remains the same. Find the base and the altitude of the triangle. 12, 20cm
18) The two perpendicular sides of a right angled triangle are in the ratio 3:4 and its perimeter is 96cm. Find the three sides. 24,32,40
19) Two equal sides of an Isosceles triangle are 3x-1 and 2x+2 units. The third side is 2x units. Find x and the perimeter of the triangle. 3,22
20) The base of an isosceles triangle is 6cm and its perimeter is 16 cm. Length of each of the equal sides be. 5cm
EXERCISE - L
1) The denominator of a fraction is 4 more than its numerator. On substracting 1 from its numerator and adding 3 to its denominator, it becomes 1/3. Find the fraction. 5/9
2) The denominator of a fraction exceeds its numerator by 4. If the numerator and denominator are both increased by 3, the new fraction becomes 4/5. Find the original fraction. 13/17
3) The denominator of a fraction is 1 more than twice its numerator. If the numerator and denominator are both increased by 5, it becomes 3/5. Find the original fraction. 7/15
4) The denominator of a fraction is 4 more than its numerator. If 1 is subtracted from both, the numerator and the denominator, the fraction become 1/2. Find the original fraction. 5/9
5) The numerator of a rational number is 8 less than its denominator. If the numerator is increased by 2 and the denominator is decreased by 1, the number of obtained is 1/2. Find the number. 3/11
6) The denominator of a rational number is greater than its numerator by 3. if 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes 1/5. Find the original number. 5/8
7) The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and the denominator decreased by 6. The new number becomes 2. Find the original number. 15/22
8) In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and the denominator, the new fractions 2/3. Find the original fraction. 7/12
9) Rakesh reads 2/9 of a book on Friday. one-third of its on Saturday, and the remaining 160 pages on Sunday. How many pages does the book have in all ? 360 pages
EXERCISE - M
1) A man covers a distance of 24 km in 7/2 hours partly on foot at the speed of 4.5 kmph and partly on bicycle at the speed of 10 kmph . Find the distance covered on foot. 9 km
2) Rahul covers distance from P to Q on bicycle at 10 kmph and returns back at 9 kmph . Anuj covers the distance from P to Q and Q to P both at 12kmph. On calculation we find that Anuj took 10 minutes less than Rahul. Find the distance between P and Q. 3.75km
3) Ajay coveres a distance of 240km in 17/4 hours. Some part of the journey was covered at the speed 45kmph and the remaining at 60 kmph. Find the distance covered by him at the rate of 600 kmph. 195km
4) If a man drives his scooter at 40 kmph, he reaches his destination 6 minutes too late and if he drives it at 60 kmph, he reaches his destination 6 minutes too soon. How far is his destination? 24km
5) A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at an average speed of 4 kmph and partly on bicycle at an average speed of 9 kmph. Find the distance travelled by him on foot. 16
6) Amit walks from his house to school at a speed of 3 kmph and returns back at a speed of 4 kmph. If he takes 42 minutes for the whole journey, find the distance between house and the school. 1.2km
7) A man covers a distance of 184 km in 3 hour 30 minutes, partly by bus and partly by car. If their speeds be 48 kmph and 60 kmph respectively, find the distance covered by bus. 104km
8) A man covers a distance of 24 km in 7/2 hours partly on foot at the speed of 4.5 kmph and partly on bicycle at the speed of 10 kmph. Find the distance covered on foot. 9km
9) Distance between two places A and B is 720km. Two cars start simultaneously from A and B towards each other and the distance between them after 7 hours in 90 km. If the speed of one car is 10 kmph less than the speed of other car, find the speed of each car. 50,40
10) Distance between two places A and B is 350km. Two car starts simultaneously from A and B towards each other and the distance between them after 4 hours is 62 km. If speed of one car is 8kmph less than speed of the other car, find the speed of each car. 40kmph, 32kmph
11) The distance between two stations is 425 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 kmph . If the distance between the two trains after 3 hours of their start is 20 km. Find the speed of each train. 65, 70 kmph
12) The distance between two stations is 300 km. Two motorcycles starts simultaneously from these stations and move towards each other. The speed of them is 7 kmph more than that of the other. If the distance between them after 2 hours of their start is 34 km, find the speed of each motorcyclist.n. 63kmph, 70kmph
EXERCISE - N
1) A boat travels 40 km upstream in a river in the same period of time as it takes to travel 50 km downstream. If the rate of the stream be 2 kmph, find the speed of the both in still water. 18 kmph
2) A steamer goes downstream and covers the distance between two parts in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream be 3 kmph, find the speed of the steamer in still water . 27 kmph
3) A steamer goes downstream from one port to another in 9 hours and covers the same distance upstream in 10 hours. If the speed of stream be 3kmph, find the speed of the steamer in still water and the distance between the ports. 57kmph, 540km
4) A steamer travels 90 km downstream in the same time as it takes travel to 60 km upstream . If the speed of the stream is 5 kmph , find the speed of the steamer in still water. 27kmph
5) A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 kmph, find the speed of the streamer in still water and the distance between two ports. 11kmph, 60km
6) A steamer goes downsteam and covers the distance between two parts in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 kmph, find the speed of the steamer in still water. 18 kmph
7) A steamer goes downstream from one port to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of the stream be 1 kmph, find the speed of the steamer in still water and the distance between the ports. 19kmph, 180km
EXERCISE - O
1) A and B together can do a piece of work in 8 days, which A alone can do in 12 days. In how many days can B alone do the same work ? 24
2) A worker in a factory is paid Rs20 per hour for normal work and Rs30 per hour for overtime work. During a week, he worked for 40 hours, find the number of hours of his normal work during the week. 32
3) An employee works in a company on a contract of 30 days on the condition that he will receive Rs200 for each day he works and he will be fined Rs20 for each day he is absent. If he him receives Rs 3800 in all, for how many days did he remain absent ? 10 days
EXERCISE - P
1) A person preparing a medicine wants to covert 15% alcohol solution in 32% alcohol solution. Find how much pure alcohol he should mix in 400 ml of 15% alcohol solution to obtain required solution ? 100ml
2) A chemist has one solution containing 50% acid and a second one containing 25% acid . How much of each should be mixed to make 10 litres of a 40% solution ? 6
3) How much pure alcohol be added to be a 400 ml, 15% situation to make it contain 32% alcohol ? 100ml
Miscellaneous - Exercise - 1
1) Sonia when to a bank with 200000. She asked the cashier to give her Rs 500 and Rs2000 currency notes in return. She get 250 currency notes in all. Find the number of each kind of currency notes. 200,50
2) A bag contains 10 paise, 25 paise and 50 paise coins. The number of 25 paise coins is three times the number of 10 paise coins. If 50 paise coins are 5 more than 25 paise coins and the total value of the money in the bag is Rs120, find the number of 10 paise coins. 50
3) The monthly Incomes of Muskan and Rahul are in the ratio 5:4 and their monthly expenditures are in the ratio 3:2. If each saves Rs1600 per month, find their monthly incomes. 4000,3200
4) There are some benches in a class room . If 4 students sit on each bench, then 3 benches are left unoccupied . However, if 3 students sit on each bench, 3 students are left standing. How many students are there in the class ? 48
5) Last year the prices of two houses were in the ratio 16:23. This year, the price of the first house has risen by 25% and that of the second by Rs5200 and the ratio of their new prices is 9:11. Find their last year's prices. 57600,82800
6) There were 100 multiple choice questions in an Engineering Entrance entrance examination. A candidate was given 5 marks for every correct answer and penalised 2 marks for every wrong answer. Pankaj answered all the questions and scored 241 marks. How many question did he answer correctly . 63
7) In a class room, there are x seats. If each student in the class occupies one seat , then 9 students remain standing and if 2 Students occupy one seat, then 7 seats are left unoccupied. Find the number of seats in the classroom and the number of students in the class. 23,32
8) In a shooting competition, a marksman receives Rs 2 if he hits the mark and pays Rs1 if he misses it. He tried 60 shots and was paid Rs18. How many times did he hit the mark ? 26
9) I have a total of Rs300 in coins of denomination of Rs1, Rs2 and Rs5. The number of Rs2 coins is 3 times the number of Rs5 coins. The total number of coins is 160. How many coins of each denomination are with me. 80 , 60,20
10) A local bus is carrying 40 passengers, some with Rs5 tickets and the remaining with Rs7.50 tickets. If the total receipts from these passengers is Rs230, find the number of passengers with Rs5 tickets. 28
11) On a school picnic, a group of students agree to pay equally for the use of a full boat and pay Rs10 each. If there had been 3 more students in the group, each would have paid Rs 2 less. How many students were there in the group ? 12
12) Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby p. The rest 9 are drinking water from the pond. Find the number of dear inthe herd. 72
13) Manju takes some flowers in a basket and visits 3 temples one by one. At each temple, she offers one-half of the flowers from the basket. If she is left with 6 flowers at the end, find the number of flowers she had in the beginning. 48
14) A man invested Rs5000, a part of it at 12% per annum and the rest at 14% per annum. If he received a total annual interest of Rs636, how much did he invest at 14% p.a. 1800
15) Sima thinks a number and subtracts 7/3 from it. She multiplies the result by 6. The result now obtained is 2 less than twice the same number she thought of. What is the number. 3
16) A positive number is 7 times another number. If 15 is added to both the numbers , then one of the new number become 5/2 times the other new number. What are the numbers? 5,35
17) Nine persons went to a hotel to take their dinner. 8 of them spent Rs60 each for the dinner and the ninth person spent Rs40 more than the averages expenditure of all the nine. How much money was spent by all of them? 585
18) Half of the herd of deer grazing in the field and three-fourths of the remaining are playing nearby. the rest 9 are drinking water from the pond. Find the number of the deer in the herd. 72
19) Number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. The total class strength is. 48
Choose the Correct Option
1) Which of the following is not a linear equation in one variable?
a) 3x + 2 = 0 b) 2y - 4 = y c) x + 2 y = 7 d) 2(x -3) + 7 =0
2) The solution of the equation 2x/3 + 1 = 15/9 is
a) 1 b) 3/2 c) 2 d) 2/3
3) The solution of the equation 4z+3=6+2z is
a) 1 b) 3/2 c) 2 d) 3
4) The solution of the equation 3x/5 + 1=4x/15 + 7 is
a) 12 b) 14 c) 16 d) 18
5) The solution of the equation x/2 - 1/5 = x/3 + 1/4 is
a) 2.7 b) 1.8 c) 2.9 d) 1.7
6) The solution of the equation (8x - 3)/3x =2 is
a) 1/2 b) 2/3 c) 3/2 d) 1/3
7) If we subtract 1/2 from a number and multiply the result by 1/2, we get 1/8, then the number is
a) 1/2 b) 3/4 c) 1/4 d) none
8) 15 years from now Ravi's age will be four times his present age. What is Ravi's present age ?
a) 4 b) 5 c) 6 d) 3
9) If the three consecutive integers is 51, then the largest integer is
a) 16 b) 17 c) 18 d) 19
10) If the perimeter of a rectangle is 13 cm and its width is 11/4 cm, then its length is
a) 11/4 cm b) 15/4 cm c) 19/4 cm d) 23/4 cm
11) What should be added to twice the rational number -7/3 to get 3/7?
a) 58/21 b) 29/21 c) 89/21 d) 107/21
12) Sum of the digits of two digit number is 8. If the number obtained by reversing the digits is 18 more than the original number, then the original number is
a) 35 b) 53 c) 26 d) 62
13) Arjun is twice as old age Maggie. If five years ago his age was three times Maggie 's age, then Arjun 's present age is
a) 10 years b) 15 years c) 20 years d) 25 years
) Two number are in the ratio 5:8. If the sum of the numbers is 182. Find the numbers. 70,112
) The sum of three consecutive multiples of 5 is 330. Find the multiples. 105,110,115
) Find the number, one third of which is 4 more than the number. 6
) Present age of Hari and Mohan are in the ratio of 5:7. Four years from now the ratio of their ages will be 3:4. Find the present age. 20,28 years
) The price of two tables and 3 chairs is Rs5400. If a table costs Rs700 more than a chair, find the price of each. 800,1500
) The denominator of a rational number is greater than its numerator. If 3 is subtracted from the numerator and 2 is added to its denominator, the number becomes 1/5. Find the original number. 5/8
) Sum of the digits of a 2 digit number is 9. When the digits are reversed, the resulting number is greater than the original number by 27. Find the number. 36
) Mr. Thakur distributed his money among his sons and daughter. He gave one-third of money to his elder son, 1/4 to the second son and remaining to his youngest son. If his youngest son got Rs32000, how much money did Mr. Thakur have ? Rs76800
) 4 times a number exceeds 60 by 5. Find the number. 65/4
) Two numbers are in the ratio of 8:3. If the sum of numbers is 143. Find the numbers. 104,39
) if 7/3 of a number is 13 more than 1/6 of the number. Find the number. 6
) The difference of two number is 15 and their ratio is 3:2. Find the numbers. 45,30
) One number is 3 times another number. If 15 is added to both the numbers, then the new numbers becomes twice that of the other new number. Find the numbers. 15,45
) The sum of three consecutive multiples of 7 is 777. Find the multiples. 252,259,266
) Find the three consecutive even numbers whose sum is 234. 76,78,80
) Find two consecutive natural numbers whose sum is 51. 25,26
) 4 years ago my father's age was four times that of my age. At present the sum of my father's age and that of mine is 53 years. What is my father's present age? 40,13 years
) 5 years ago, A man was 7 times as old as his son. 5 years hence, father will be three times as old as his son. Find their present ages. 10,40 years
) three consecutive integers are such that when they are taken increasing order and multiplied by 3, 4 and 5 respectively, they add up to 386. Find the numbers. 31,32,33
) The age of Ashu and Nishu are in the ratio 5:6. 5 years from now their ages will be 6:7. Find their present age. 25,40 years
) The angle of a triangles are 3x, 2x + 20 and 5 x -40. Find the angles. Also name the type of triangle triangle formed. 60° each, equalateral triangle
) The altitude of a triangle is 3/5th of the length of the corresponding base. If the altitude is decreased by 4 cm and the corresponding base is increased by 10 cm, the area of the triangle remain same. Find the base and altitude of the triangle. 20,12
) The pocket money of Nilabh and Nithya are in the ratio 5:7, if the pocket money of both of them are increased by Rs225, the new ratio be 3:4. Find their pocket money. 1125,1575
) Divide Rs1500 among A, B and C such that B's share is five-sixth of A's share and C's share is four-fifth of B's share. 600,500,400
) The length of a rectangle exceeds is breadth by 7 cm. If the length is decreased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the same as the area of the original rectangle. Find the length and breadth of original rectangle. 16,9
) The distance between two stations A and B is 540km. Two trains start simultaneously from the station on parallel track to cross each other. The speed of one of them is greater than the other by 5 kmph . if the distance between those two trains after 3 hours of the journey is 165km, find their speed. 60,65
) Avnish Tripathi started his journey from Lucknow to Delhi at 10:00 a.m. by car. Ajit Pandey also started his journey from Delhi to Lucknow at the same time by a car which is 12 kmph faster. After 9/2 hours the distance between them is 29 km. Find the speed with which each car is travelling, if the distance between Lucknow and Delhi is 497km. 46,58
) Two trains start simultaneously from points A and B which are 400 km apart. The speed of one of the trains is 5 kmph greater than the other, After 2 hours, if the distance between them is 90km, find their speed. 75,80 kmph
) A steamer goes downstream and covers the distance between two ports in 4 hours, while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 kmph, find the speed of steamer in still water. 18kmph
) in a bus (2x + 5) passengers bought 50 paise tickets and (3x -2) bought 75 paise tickets. If the bus was 48 seater and was just full, find the number of passengers for each category. 23,25
) In a party, if 1 out of every 3 guests brought bouquet , 1 out of 5 guests brought gifts items, 1 out of 6 gave cash gifts and the remaining 27 guests gave gift vouchers and none of them gave two things. How many people attended the party. 90
) 3 added to twice a number is 33.
) some monkeys were playing in two groups. In one group there were 5 more than 1/3 of total monkeys and in other group there were 1.4 of total monkeys.
) Two numbers are in the ratio 4:7. if the sum of the number is 143. find the numbers.
) Geeta has 3 more dolls than Reenu . If there are 11 dolls in all, how many dolls does each have?
) 18 sweets are to be distributed among three friends A, B and C in such a way that B gets 5 sweets more than A and C gets 7 sweets more than A .
) If 3/4th of a number is less than 5/6th of the number by 3. The number is
a) 12 b) 36 c) 24 d) 48
) The sum of the two consecutive multiples of 6 is 66 then multiples are
a) 30, 36 b) 33, 43 c) 24, 42 d) 12, 54
) Number of boys and girls in a class in the ratio 7 :5. The number of boys is 8 more than that of the number of girls. What is the total strength of the class ?
a)56 b) 52 c) 48 d) 36
) The digit at ten's place of a two digit number is 3 times the digits at one's place. If the digit at one's place is x, then number of terms of x is
a) 4x b) 13x c) 31x d) 11x
) The ages of A and B are in the ratio 5:7, Four years from now the ratio of their ages will be 3:4. what is the present ages of B
a) 20 b) 25 c) 28 d) 21
) The length of a rectangle exceeds its breadth by 9cm. If the length and breathe are each increased by 3cm the area of new rectangle will be 84cm² more than that of the given triangle. Find their length.
a) 12 b) 15 c) 17 d) 21
) If two equal sides of an isosceles triangles are (4x - 2cm and (3x+ 1)cm and third side is (2x - 1)cm, then its perimeter is
a) 35 b) 30 c) 25 d) 20
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