Practice Test

Q1) The ratio compounded of 4 : 9, the duplicate ratio of 3 : 4, the triplicate ratio of 2 : 3, and 9 : 7 is Show Answer

Q2) 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 Show Answer

Q3) If the angles of a triangle are in the ratio 2 : 7 : 11, then their respective degree measures are Show Answer

Q4) 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 Show Answer

Q5) 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 Show Answer

Q6) 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 : Show Answer

Q7) If 12, 16, *, 20 are in proportion, then * is Show Answer

Q8) The ratio of two quantities is 4 : 5. if the antecedent is 20, then the consequent is Show Answer

Q9) The ratio of two quantities is 5: 6. if the consequent is 180, then the antecedent is Show Answer

Q10) The ratio of two quantities is 3:4. if the antecedent of its inverse ratio is 100, then its consequent is Show Answer

Q11) The ratio of two quantities is 9:11. if the consequent of its inverse ratio is 54, then its antecedent is Show Answer

Q12) 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
Show Answer

Q13) 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. Show Answer

Q14) 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. Show Answer

Q15) Which one of the following is true ? Show Answer

Q16) Ratio exists only between quantities of ______ kind. Show Answer

Q17) A ratio is a ---------------------. Show Answer

Q18) The order of the terms in a ratio is important. Show Answer

Q19) A ratio is expressed in --------------------- form. Show Answer

Q20) Ratio has no unit. Show Answer

Q21) If a : b = c : d then Show Answer

Q22) If A:B = 2:3, B:C=4:5, C:D= 6:7. the A:D is Show Answer

Q23) Ratio between 25 minutes and 45 seconds Show Answer

Q24) Which of the following ratios is greatest? Show Answer

Q25) The inverse ratio of 11:15 is Show Answer

Q26) The ratio of two quantities is 3:4. If the antecedent is 15, the consequent is Show Answer

Q27) The ratio of the quantities is 5:7. If the Consequent of its Inverse Ratio is 5, the Antecedent is Show Answer

Q28) The Duplicate Ratio of 3:4 is Show Answer

Q29) The Sub Duplicate Ratio of 25:36 is Show Answer

Q30) The Triplicate Ratio of 3:2 is Show Answer

Q31) The Triplicate Ratio of 4:5 is Show Answer

Q32) The Sub Triplicate Ratio of 8:27 is Show Answer

Q33) 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 Show Answer

Q34) Two whole numbers whose sum is 72 cannot be in the ratio Show Answer

Q35) If 40% of a number is equal to two - third of another number, what is the ratio of first number to the second number? Show Answer

Q36) 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 Show Answer

Q37) Two numbers are in the ratio 2:3. If 4 be subtracted form each, they are in the ratio 3:5. The numbers are - Show Answer

Q38) The ratio of two numbers is 7:10 and their difference is 105. The numbers are Show Answer

Q39) The ratio of numbers is 1:2:3 and sum of their squares is 504, then the numbers are - Show Answer

Q40) Two numbers are respectively 30% and 40% more than a third number. The ratio of the two numbers is Show Answer

Q41) What least number must be added to each one 6, 14, 18, 38 to make them in proportion? Show Answer

Q42) The number which when subtracted from each of the terms of the ratio 19:31 reducing it to 1:4 is Show Answer

Q43) Find three numbers which are in the ratio of 3:4:5 such that the sum of their cubes is 1728 Show Answer

Q44) The angles of a triangle are in ratio 2:7:11. The angles are Show Answer

Q45) 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 Show Answer

Q46) 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 - Show Answer

Q47) 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 - Show Answer

Q48) 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 - Show Answer

Q49) 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? Show Answer

Q50) 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 Show Answer

Q51) 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. Show Answer

Q52) A earns Rs. 150 in 12 hours while B earns Rs. 160 in 8 hours. The ratio of their earning is Show Answer

Q53) 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 Show Answer

Q54) If a packet containing a dozen glasses is dropped, which of the following cannot be the ratio of broken, glasses to unbroken glasses? Show Answer

Q55) 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 Show Answer

Q56) 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. Show Answer

Q57) 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 Show Answer

Q58) 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 Show Answer

Q59) 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 Show Answer

Q60) 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. Show Answer

Q61) Hari weights 56.7 kg. If he reduces his weight in the ratio of 7:6, find his new weight. Show Answer

Q62) 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. Show Answer

Q63) 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? Show Answer

Q64) 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 Show Answer

Q65) 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? Show Answer

Q66) 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 Show Answer

Q67) 15 (2p2 - q2) = 7pq where p, q are positive then p:q Show Answer

Q68) 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 Show Answer

Q69) The third proportional to 12, 18 is Show Answer

Q70) If 50 is the third proportional to 8 and X then the value of X is Show Answer

Q71) Find the ratio of third proportional of 12, 30 and mean proportional of 9,25: Show Answer

Q72) The fourth proportional to 4,6,8 is Show Answer

Q73) The numbers 14,16,35,42 are not in proportion. The fourth term for which they will be in proportion is Show Answer

Q74) The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is Show Answer

Q75) The mean proportion between 24 and 54 is Show Answer

Q76) If b be the mean proportional between a & c then Show Answer

Q77) If 4, x and 9 are in proportional then x is equal to Show Answer

Q78) The ratio of the third proportional to 4 and 6 and the mean proportional between 9 and 25 is - Show Answer

Q79) 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. Show Answer

Q80) The number which has the same ratio to 26 that 6 has to 13 is Show Answer

Q81) If four numbers 1/2, 1/3, 1/5, 1/x are proportional then x is Show Answer

Q82) Find two numbers such that mean proportional between them is 18 and third proportional to them is 144. Show Answer

Q83) 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? Show Answer

Q84) 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 - Show Answer

Q85) 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 - Show Answer

Q86) 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 - Show Answer

Q87) 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? Show Answer

Q88) 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? Show Answer

Q89) 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 Show Answer

Q90) 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 Show Answer

Q91) 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 Show Answer

Q92) What must be added to each of the numbers 10, 18, 22, 38 to make them proportional: Show Answer

Q93) 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? , Show Answer

Q94) 4x 1/4 is expressed as - Show Answer

Q95) If the index of any power function is zero, then the value of that function is Show Answer

Q96) Which one is true? Show Answer

Q97) Log 6 +log 5 is expressed as Show Answer

Q98) Log 32/4 is equal to Show Answer

Q99) Log (1×2×3) is equal to Show Answer

Q100) The value of log 0.0001 to the base 0.1 is Show Answer

Q101) If 2 log x = 4 log3, then x is equal to - Show Answer

Q102) Value of log (1+2+3+….......+n) is equal to - Show Answer

Q103) The chart that use Logarithm of the variable is known as: Show Answer

Q104) Two numbers are in the ratio 7:8. If 3 is added to each of them, their ratio becomes 8:9. The numbers are: Show Answer

Q105) 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: Show Answer

Q106) If log (2 a - 3 b) = log a - log b, then a = : Show Answer

Q107) 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? Show Answer

Q108) 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: Show Answer

Q109) 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: Show Answer

Q110) log 144 is equal to Show Answer

Q111) 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? Show Answer

Q112) What must be added to each term of the ratio 49:68, so that it becomes 3:4? Show Answer

Q113) 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: Show Answer

Q114) The recurring decimal 2,777.......... can be expressed as : Show Answer

Q115) 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? Show Answer

Q116) The ratio Compounded of 4:5 and sub - duplicate of "a" : 9 is 8:15. then value of "a" is: Show Answer

Q117) Which of the numbers are not in proportion? Show Answer

Q118) Divide 80 into two parts so that their product is maximum, then the numbers are: Show Answer

Q119) 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: Show Answer

Q120) 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: Show Answer

Q121) The integral part of a logarithm is called ____________ and the decimal part of a logarithm is called ___________. Show Answer

Q122) 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: Show Answer

Q123) 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: Show Answer

Q124) 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 Show Answer

Q125) The ratio of two numbers are 3:4. The difference of their square is 28 greater no. is: Show Answer

Q126) 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: Show Answer

Q127) Log 9+log 5 is expresses as: Show Answer

Q128) 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? Show Answer

Q129) 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? Show Answer

Q130) The ratio of two quantities is 15:17. If the consequent of its inverse ratio is 15, then the antecedent is: Show Answer

Q131) 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? Show Answer

Q132) 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 Show Answer

Q133) If A:B=5:3, B:C=6:7 and C:D=14:9 then the value of A:B:C:D is: Show Answer

Q134) 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 Show Answer

Q135) 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? Show Answer

Q136) 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 Show Answer

Q137) A box contains 25 paise coins and '10' paise coins and 5 paise coins in ratios 3:2:1 and total money is ₹40. How many '5' paise coins are there? Show Answer