Practice Test


1) The ratio compounded of 4 : 9, the duplicate ratio of 3 : 4, the triplicate ratio of 2 : 3, and 9 : 7 is


2) The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub-duplicate ratio of 81 : 256 and sub-triplicate of 125 : 512 is


3) If the angles of a triangle are in the ratio 2 : 7 : 11, then their respective degree measures are


4) The ratio between the speeds of two trains is 7 : 8. if the second train run 400 kms in 5 hours, the speed of the first train is


5) Two numbers are in the ratio. If 6 be added to each term of the ratio, the new ratio will be 4 : 5. then the given numbers are


6) The numbers 14, 16, 35, 42 are not in proportion. the fourth term for which they will be in proportion is for which they will be in proportion is :


7) If 12, 16, *, 20 are in proportion, then * is


8) The ratio of two quantities is 4 : 5. if the antecedent is 20, then the consequent is


9) The ratio of two quantities is 5: 6. if the consequent is 180, then the antecedent is


10) The ratio of two quantities is 3:4. if the antecedent of its inverse ratio is 100, then its consequent is


11) The ratio of two quantities is 9:11. if the consequent of its inverse ratio is 54, then its antecedent is


12) The sub-duplicate ratio compounded of 2 : 3, the duplicate ratio of 4 : 5 and the triplicate ratio of 3 : 2 is the duplicate ratio of


13) Present ages of Rachel and Ross are in the ratio 7 : 12. If two years ago their ages were in the ratio 3 : 8, then their present ages are respectively.


14) Monica's total score in three subjects mathematics, statistics and accounts in 257 marks. Her marks in mathematics and statistics are in the ratio 7 : 8, and marks in mathematics and accounts are in the ratio 12 : 11. Then her marks in mathematics, statistics and accounts are respectively.


15) Which one of the following is true ?


16) Ratio exists only between quantities of ______ kind.


17) A ratio is a ---------------------.


18) The order of the terms in a ratio is important.


19) A ratio is expressed in --------------------- form.


20) Ratio has no unit.


21) If a : b = c : d then


22) If A:B = 2:3, B:C=4:5, C:D= 6:7. the A:D is


23) Ratio between 25 minutes and 45 seconds


24) Which of the following ratios is greatest?


25) The inverse ratio of 11:15 is


26) The ratio of two quantities is 3:4. If the antecedent is 15, the consequent is


27) The ratio of the quantities is 5:7. If the Consequent of its Inverse Ratio is 5, the Antecedent is


28) The Duplicate Ratio of 3:4 is


29) The Sub Duplicate Ratio of 25:36 is


30) The Triplicate Ratio of 3:2 is


31) The Triplicate Ratio of 4:5 is


32) The Sub Triplicate Ratio of 8:27 is


33) The ratio compounded of Duplicate Ratio of 4:5, Triplicate of 1:3, Sub Duplicate Ratio of 81:256 and Sub Triplicate Ratio of 125:512 is


34) Two whole numbers whose sum is 72 cannot be in the ratio


35) If 40% of a number is equal to two - third of another number, what is the ratio of first number to the second number?


36) 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


37) Two numbers are in the ratio 2:3. If 4 be subtracted form each, they are in the ratio 3:5. The numbers are -


38) The ratio of two numbers is 7:10 and their difference is 105. The numbers are


39) The ratio of numbers is 1:2:3 and sum of their squares is 504, then the numbers are -


40) Two numbers are respectively 30% and 40% more than a third number. The ratio of the two numbers is


41) What least number must be added to each one 6, 14, 18, 38 to make them in proportion?


42) The number which when subtracted from each of the terms of the ratio 19:31 reducing it to 1:4 is


43) Find three numbers which are in the ratio of 3:4:5 such that the sum of their cubes is 1728


44) The angles of a triangle are in ratio 2:7:11. The angles are


45) A person has assets worth Rs. 1,48,200. Hewish to divide it amongst his wife, son and daughter in the ratio 3:2:1 respectively. From this assets the share of his son will be


46) P, Q, and R are three cities. The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8. The ratio between the average temperature of Q and R is -


47) If A,B and C started a business by investing Rs. 1,26,000, Rs. 84,000 and Rs. 2,10,000. If at the end of the year profit is Rs. 2,42,000 then the share of each is -


48) Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7:9. If each saves Rs. 50 per day, their daily incomes in Rs. are -


49) A person on a tour has Rs. 9600 for his expense. But the tour was extended for another 16 days, so he has to cut down his daily expenses by Rs. 20. The original duration of the tour had been?


50) The ratio in which the total wages of the workers of a factory get increased (or decreased), if there be a reduction of workers in the ratio 7 : 5 and an increase in their wages in the ratio 2:3 is


51) Find in what ratio will the total wages of the workers of a factory be increased or decreased if there be a reduction in the number of workers in the ratio 15:11 and an increment in their wages in the ratio 22:25.


52) A earns Rs. 150 in 12 hours while B earns Rs. 160 in 8 hours. The ratio of their earning is


53) The ratio between the speeds of two trains is 7:8. If the second train runs 400 kms in 5 hours, the speed of the first train is


54) If a packet containing a dozen glasses is dropped, which of the following cannot be the ratio of broken, glasses to unbroken glasses?


55) The ages of two persons are in the ratio 5:7. 18 years ago their ages were in the ratio of 8:13 their present ages (in years) are


56) A bag contains Rs. 187 in the form of 1 rupee, 50 paise and 10 paise coins in the ratio 3:4:5. Find the number of each type of coins.


57) A bag contains 23 number of coins in the form of 1 rupee, 2 rupee and 5 rupee coins. The total sum of the coins is Rs. 43. The ratio between 1 rupee and 2 rupees coins is 3:2. Then the number of 1 rupee coins


58) The population of a bacteria culture doubles in number every 12 minutes. The ratio of the number of bacteria at the end of 1 hour to the number of bacteria at the beginning of that hour is


59) The salaries of A, B, C are in the ratio 2:3:5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?


60) A man divides his property so that his son's share to his wife's share and the wife's share to his daughter's share are both in the ratio 3:1. If the daughter gets Rs. 10,000 less than the son, then the total worth of his property is


61) The profits of a Firm are to be distributed in a suitable ratio. Suitable Ratio is the ratio whose terms differ by 40 and the measure of which is 2/7.


62) Hari weights 56.7 kg. If he reduces his weight in the ratio of 7:6, find his new weight.


63) Find in what ratio will the total wages of the workers of a factory be increased or decreased if there be a reduction in the number of workers in the ratio of 15:11 and an increment in their wages in the ratio of 22:25.


64) A recipe for 4 servings requires salt and pepper to be added in the ratio of 2:3. If the recipe is adjusted from 4 to 8 servings, what is the ratio of the salt and pepper that must now be added?


65) 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


66) The ratio of the 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?


67) The Electricity Bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 540 units are consumed, the bill is Rs. 1,800. In another month 620 units are consumed and the bill is Rs. 2,040. In yet another month 500 units are consumed. The bill for that month would be


68) 15 (2p2 - q2) = 7pq where p, q are positive then p:q


69) The first, second and third month salaries of a person are in the ratio 2:4:5. The difference between the product of the salaries of first 2 months & last 2 months is 4,80,00,000. Find the salary of the second month


70) The third proportional to 12, 18 is


71) If 50 is the third proportional to 8 and X then the value of X is


72) Find the ratio of third proportional of 12, 30 and mean proportional of 9,25:


73) The fourth proportional to 4,6,8 is


74) The numbers 14,16,35,42 are not in proportion. The fourth term for which they will be in proportion is


75) The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is


76) The mean proportion between 24 and 54 is


77) If b be the mean proportional between a & c then


78) If 4, x and 9 are in proportional then x is equal to


79) The ratio of the third proportional to 4 and 6 and the mean proportional between 9 and 25 is -


80) The No's 2.4, 3.2, 1.5, 2 are in proportion & their product of means is 4.8, find the product of extremes.


81) The number which has the same ratio to 26 that 6 has to 13 is


82) If four numbers 1/2, 1/3, 1/5, 1/x are proportional then x is


83) Find two numbers such that mean proportional between them is 18 and third proportional to them is 144.


84) A Dealer mixes Tea costing Rs. 6.92 per kg with Tea costing Rs. 7.77 per kg and sells the mixture at Rs. 8.80 per kg and earns a profit 17.5% on his Sale Price. In what proportion does he mix them?


85) 60 kg of alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3:2 and alloy B has tin and copper in the ratio 1:4, then the amount of tin in the new alloy is -


86) 70 kg. of Alloy I is mixed with 20 kg of Alloy II. If alloy I has Copper and Zinc in the ratio 3:4 and alloy II has Zinc and ton in the ratio 2:3 then the amount of Zinc in the new alloy is -


87) An alloy is to contain copper and zinc in the ratio 9:4. The zinc required to be melted with 24 kg of copper is -


88) If 1 cup of milk is added to a 3 cup mixture that is 2/5 flour and 3/5milk, what percent of the 4 cup mixture is milk?


89) Gold is 19 times as heavy as Water and Copper is 9 times as heavy as Water. In what ratio should these be mixed to get an alloy 15 times as heavy as water?


90) 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


91) 20 litres of a 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


92) 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) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is


93) What must be added to each of the numbers 10, 18, 22, 38 to make them proportional:


94) If one type of rice of cost Rs. 13.84 is mixed with another type of rice of cost Rs. 15.54. the mixture is sold at Rs. 17.6 with a profit of 14.6% on selling price then in which proportion the two types of rice mixed? ,


95) 4x 1/4 is expressed as -


96) If the index of any power function is zero, then the value of that function is


97) Which one is true?


98) Log 6 +log 5 is expressed as


99) Log 32/4 is equal to


100) Log (1×2×3) is equal to


101) The value of log 0.0001 to the base 0.1 is


102) If 2 log x = 4 log3, then x is equal to -


103) Value of log (1+2+3+….......+n) is equal to -


104) The chart that use Logarithm of the variable is known as:


105) Two numbers are in the ratio 7:8. If 3 is added to each of them, their ratio becomes 8:9. The numbers are:


106) A box contains Rs. 56 in the form of coins of one rupee, 50 paise and 25 paise. The number of 50 paise coin is double the number of 25 paise coins and four times the numbers of one rupee coins. The numbers of 50 paise coins in the box is:


107) If log (2 a - 3 b) = log a - log b, then a = :


108) Ratio of earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earning becomes 8 : 7. What is A's earning?


109) The income of A and B are in the ratio 3:2 and their expenditures in the ratio 5:3. if each saves Rs. 1,500, then B's income is:


110) In 40 litres mixture of glycerine and water, the ratio of glycerine and water is 3:1. The quantity of water added in the mixture in order to make this ratio 2:1 is:


111) log 144 is equal to


112) In what ratio should tea worth Rs. 10 per kg be mixed with tea worth Rs. 14 per kg so that the average price of the mixture may be Rs. 11 per kg?


113) What must be added to each term of the ratio 49:68, so that it becomes 3:4?


114) The student of two classes are in the ratio 5:7, if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of student in each class is:


115) The recurring decimal 2,777.......... can be expressed as :


116) If a film shooting, A and B received money in a certain ratio and B and C also received the money in the same ratio. If A gets Rs. 1,60,000 and C gets Rs. 2,50,000. Find the amount received by B?


117) The ratio Compounded of 4:5 and sub - duplicate of "a" : 9 is 8:15. then value of "a" is:


118) Which of the numbers are not in proportion?


119) Divide 80 into two parts so that their product is maximum, then the numbers are:


120) If the salary of P is 25% lower than that of Q and the salary of R is 20% higher than that of Q, the ratio of the salary of R and P will be:


121) A dealer mixes rice costing Rs. 13.84 per kg. with rice costing Rs. 15.54 and sells the mixture at Rs. 17.60 per kg. So, he earns a profit of 14.6% on his sale price. The proportion in which he mixes the two qualities of rice is:


122) The integral part of a logarithm is called ____________ and the decimal part of a logarithm is called ___________.


123) X, Y, Z together starts a business. If X invests 3 times as much as Y invests and Y invests two third of what Z invests, then the ratio of capitals of X, Y, Z is:


124) The ratio of the number of Rs. 5 coins and Rs. 10 coins is 8 : 15. If the value of Rs. 5 coins is Rs. 360, then the number of Rs. 10 coins will be:


125) If the ratio of two numbers is 7:11. If 7 is added to each number then the new ratio will be 2:3 then the numbers are


126) The ratio of two numbers are 3:4. The difference of their square is 28 greater no. is:


127) The price of scooter and moped are in the ratio 7:9. The price of moped is Rs.1,600 more than that of scooter. Then the price of moped is:


128) Log 9+log 5 is expresses as:


129) The ratio of number of boys and the number of girls in a school is found to be 15:32. How many boys and equal number of girls should be added to bring the ratio to 2/3?


130) In a certain business A and B received profit in a certain ratio B and C received profits in the same ratio. If A gets Rs1600 and C get Rs.2500 then how much does B get?


131) The ratio of two quantities is 15:17. If the consequent of its inverse ratio is 15, then the antecedent is:


132) The salaries of A,B and C are in the ratio 2:3:5. If increments of 15%,10% and 20% are allowed respectively to their salary, then what will be the new ratio of their salaries?


133) In a department, the number of males and females are in the ratio 3:2. If 2 males and 5 females join the department, then the ratio becomes 1:1. Initially, the number of females in the department is


134) If A:B=5:3, B:C=6:7 and C:D=14:9 then the value of A:B:C:D is:


135) A vessel contained a solution of acid and water in which water was 64%. Four liters of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contain 30% acid, the quantity (in liters) of the solution, in the beginning in the vessel, was


136) Incomes of R and S are in the ratio 7:9 and their expenditure are in the ratio 4:5. Their total expenditure is equal to income of R. What is the ratio of their savings?


137) A bag contains 105 coins containing some 50 paise and 25 paise coins. The ratio of the number of these coins is 4:3. The total value (in Rs.) in the bag is