Practice Test


Q1) Ratio of boys and girls in a class is 5:3. which of these cannot be the of students in the class? Show Answer


Q2) Two numbers are in the ratio 3:4 and the product of their L.C.M. and H.C.F. is 10,800. The sum of the number is? Show Answer


Q3) If 2A=3B=4C=K then A:B:C is Show Answer


Q4) The ratio between two numbers is 3:4 and their L.C.M. is 180. The first number is: Show Answer


Q5) Some money is divided among three persons A,B,C in such a way that 5 times A's share,3 times B's share and 2 times C's share are all equal.
The ratio between A,B,C's share is Show Answer


Q6) The fourth proportional of 0.2,0.12,and 0.3 is: Show Answer


Q7) the third proportional to 0.36 and 0.48 is Show Answer


Q8) The mean proportion between 0.32 and 0.02 is Show Answer


Q9) In a cash abg there are currency notes in denominations of Rs.20,Rs.10 and Rs.5 in the ratio 3:4:5. If the total amount in the bag is Rs.1000, then number of five rupee notes is: Show Answer


Q10) The incomes of A and B are in the ratio 3:2 ands their expenditures are in the ratio 5:3. if each saves Rs.1000, their incomes are. Show Answer


Q11) In a school, 10% of boys are same in number as 1/4th of girls and 10% of the girls are same in number as 1/25th of the boy. what is the ratio of boys to girls in the school?
Show Answer


Q12) Find the biggest of 3 which are in the ratio of 2:3:5 and the sum of squares is 608. Show Answer


Q13) In a mixture of 180 liters, the ratio of milk and water is 2:1. If the milk and water is to be 1:2 the amount of water to be added in the mixture is. Show Answer


Q14) If 55 percent of people who purchase product are female, what is the ratio of the number of females who purchase the product to the number of males who purchase the product? Show Answer


Q15) The prices of a scooter and t.T.V., are in the ratio of 5:4. if the scooter costs Rs.4000 more than the T.V. set, the price of a T.V. set(in rupees) is: Show Answer


Q16) Rs.600 are divided among A,B,C so that Rs.40 more than 2/5th of A's share, Rs.20 more than 2/7th of B's share and Rs.10 more than 9/17th of C's share may all be equal. What is A's share? Show Answer


Q17) Anshul's marks in English are twice his marks in science. His total marks in English, Science and Mathematics are 180. If the proportion of his marks in English to his marks in Mathematics is 2:3, what are his marks in science ? Show Answer


Q18) 15 liters of a mixture contains 20% alcohol and the rest water. If 3 liters of water be mixed in it, the percentage of alcohol in the new mixture will be : Show Answer


Q19) The ratio of the ages of mother and son is 7:3. If the sum of their ages is 60 years, what is the difference in their ages ? Show Answer


Q20) An amount of Rs.2430 is divided among A,B and C such that if their shares be reduced by Rs.5, Rs.10 and Rs.15 respectively, the remainders shall be in ratio 3:4:5. The share of B is: Show Answer


Q21) Divide 62 into two parts such that fourth part of the first and two fifth part of the second are in the ratio 2:3 Show Answer


Q22) The ratio between a two digit number and the sum of digits of that number is 4:1. If the digit in the unit place is 3 more than the digit in the tenth place, what is that number ? Show Answer


Q23) The ratio of two number is 3:8 and their difference is 115. The largest number is Show Answer


Q24) A,B and C divide an amount of Rs.4,200 amongst themselves in the ratio of 7 : 8 : 6 respectively. If an amount of Rs.200 is added to each of their shares, what will be the new respective ratio of their shares of amount ? Show Answer


Q25) The average of ages of a father and his son is 48 years. The ratio of their ages is 5:3 respectively. What is the sons age ? Show Answer


Q26) The ages of Aarzoo and Arnav are in the ratio of 11:13 respectively. After, 7 years the ratio of their ages will be 20 : 23. What is the difference in years between their ages ? Show Answer


Q27) The number of boys in a school is 15% more than the number of girls. What is the ratio of the number of boys to the number of girls in the school ? Show Answer


Q28) 38 percent of first number is 52 percent of the second number. What is the respective ratio of the first number to the second number ? Show Answer


Q29) The average age of man and his son is 54 years. The ratio of their ages is 23 : 13 respectively. What will be ratio of their ages after 6 years ? Show Answer


Q30) A sum is divided among A, B, C and D in the ratio of 4: 5 : 7 : 11 respectively. If the share of C is Rs.1,351/- then what is the total amount of money of A & D together ? Show Answer


Q31) The ratio of the number of managers and management trainees is 3 : 5. This ratio becomes 3 : 8 if 21 new management trainees are recruited, how many will the managers be in the group ? Show Answer


Q32) The average age of a man and his son is 18 years. The ratio of their ages is 5:1 respectively. What will be the ratio of their ages after 6 years ? Show Answer


Q33) 42 percent of first number is 56 percent of the second number. What is the respective ratio of the first number to the second number ? Show Answer


Q34) A sum of money is divided among A, B, C and D in the ratio of 4 : 6 : 11 : 13 respectively. If the share of C is Rs.7,854/-, then what is the total amount of money of B & D together ? Show Answer


Q35) The average age of a man and his son is 48 years. The ratio of their ages is 11 : 5 respectively. What will be ratio of their ages after 6 years ? Show Answer


Q36) 48 percent of first number is 60 percent of the second number. What is the respective ratio of the first of the second number ? Show Answer


Q37) The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the ponds ? Show Answer


Q38) The number of employees in Companies A, B and C are in ratio of 4 : 5 : 6 respectively. If the number of employees in the three Companies is increased by 25%, 30% and 50% respectively, what will be the new ratio of employees working in Companies A, B and C respectively ? Show Answer


Q39) Number of students studying in colleges A & B are in the ratio of 3 : 4 respectively. If 50 more students join college A and there is no change in the number of student in College B,the respective ratio becomes 5 : 6. What is the number of students in College B ? Show Answer


Q40) Four - seventh of a number is equal to 40% of another number. What is the ratio between the first number and the second number respectively ? Show Answer


Q41) Five eighth of a number is equal to 60% to another number. What is the ratio between the first number and the second number respectively ? Show Answer


Q42) 75% of a number is equal to three - seventh of another number. What is the ratio between the first number and the second number respectively ? Show Answer


Q43) Three seventh of a number is equal to 45 percent of another number. What is respective ratio between the first and the second number ? Show Answer


Q44) The ratio between the male and female existing employees in an organization is 7 : 3. The ratio between the male and female new recruits of 240 is 5 : 7 What will be the new ratio between male and female employees after the recruits join the organization ? Show Answer


Q45) 75% of a number is equal to four - fifth of another number. What is the ratio between the first number and the second number respectively ? Show Answer


Q46) The ratio between the present ages of P and Q is 3 : 4 respectively. Four years hence Q will be five years older than P. What is P's present age ? Show Answer


Q47) 28% member of a certain group are married. What is the respective ratio between the number of married member to the number of unmarried members ? Show Answer


Q48) 52% students from a college participated in a survey. What is the respective ratio between the number of students who did not participated in the survey to the number of students who participated ? Show Answer


Q49) The ratio of Ram's and Rahim's ages is 3 : 2. The ratio of Rahim's and Aman's present ages is 5 : 2. What is the ratio of Ram's and Aman's present ages ? Show Answer


Q50) A club has 3 boys and 5 girls. During a membership drive the same number of boys and girls joined the club. How many members does the club have now if the ratio of boys to girls is 4 : 5. Show Answer


Q51) In a bag, there are 280 balls of 3 different colors. If the ratio of Green to Blue is 3 : 2 and Blue to Red is 4 : 6, then find the number of Blue balls. Show Answer


Q52) A sum of Rs. 6125 is divided among A, B and C so that if Rs. 25, Rs. 35 and Rs. 45 be diminished from their shares respectively, the remainder shall be in the ratio 8 : 15 : 20. Find the share of each. Show Answer


Q53) Two numbers are in the ratio 2 : 3. The difference between their square is 45. Find the numbers. Show Answer


Q54) To complete a certain job, one man works for 5 hours a day for 7 days, one boy works for 7 hours a day for 10 days. How many boys are required to do the same job that one man can do both working for same hours a day. Show Answer


Q55) If Nimisha types at the rate of 45 words per minute, how many hours will she take to type 5400 words ? Show Answer


Q56) Find the value of x, if x is the mean proportion between (x - 2) and (x + 6) Show Answer


Q57) What number must be added to each of the numbers 2, 14, 38 and 86 so that the result is in proportion Show Answer


Q58) If 'a' is proportional to 'b' and a = 20 when b = 12, what is the value of 'a' when b = 36 ? Show Answer


Q59) The height of Sandeep is of the same proportion as the square root of his age. What will be the height of Rajan at the age 36 years, if he is 4 feet tall at the age of 9 years. The height won't increase further if a person crosses 25 years of age. Show Answer


Q60) If the ratio of A to B is 9 times the ratio of B to A, the what is the value of A/B ? Show Answer


Q61) If A : B = 4 : 7 and the sum of A and B is 132, then find the value of B - A ? Show Answer


Q62) What must be added to each term of 4 : 9 so that it becomes 2 : 3 ? Show Answer


Q63) The side of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. Find the length of the longest side ? Show Answer


Q64) If 500 kg of fodder can be fed to 20 cows for a week, then for how many days will 800 kg of fodder can be fed to 7 cows ? Show Answer


Q65) Find the mean proportion between 8 and 72. Show Answer


Q66) Find the forth proportion to 5, 35 and 70. Show Answer


Q67) If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and a + b + c = 14, then the value of c is Show Answer


Q68) If X and Y shared in the ratio of 2 : 7, what is the ratio of X 's share to the difference between Y and X's share ? Show Answer


Q69) In a mixture of 42L, the ratio of milk to water is 6 : 1. Another 6L of water is added to the mixture. Find the ratio of milk to water in the resultant mixture ? Show Answer


Q70) Three people decided to start a partnership firm. The ratio of their investments is 1/2 : 1/4 : 1/5 and the periods for which the investments were made are in the ratio 1/3 : 1/4 : 1/5. If the profits are to be shared in the direct proportion to both the amount invested and the time for which it is invested, find B's share, if C's share is 1200 Rs. ? Show Answer


Q71) The illumination from a source of light is inversely proportional to the square of the distance. An object is kept at a distance of 10 cms from a lamp. How much further should the object be moved, so that it receives 1/9th as much light ? Show Answer


Q72) A puts 10 cows for 10 days and B puts 12 cows for 12 days into the field owned by X. Find the ratio of the amount A pays to X to the amount B pays to X, if there is a fixed charge per cow per day. Show Answer


Q73) If 2/5 of the members in a team are not college graduates, what is the ratio of the number of college graduates to those who are not college graduates ? Show Answer


Q74) Two persons A and B crossed the same tunnel while traveling from Bombay to Goa. A took 4 hours and 30 minutes while B took 5 hours and 15 minutes to cross the tunnel. What is the ratio of the average speeds of A and B. Show Answer


Q75) A fraction bears a same ratio to 3/7 as 1/27 does to 1/35. Find the fraction ? Show Answer


Q76) Jar A and jar B each have 70 marbles,all of which are red, White or blue.
In jar A, R : W = 2 : 3 and W : B = 3 : 5
In jar B, R : W = 2 : 3 and W : B = 4 : 5
A : The number of white marbles in jar A
B : The number of white marbles in jar B Show Answer


Q77) The ratio of red to blue marbles in a jar was 3 : 5. The same number of red and blue marbles were added to the jar.
A : The ratio of red to blue marbles now.
B : 3 : 5 Show Answer


Q78) Three associates agreed to split the $3000 profit of an investment in the ratio of 2 : 5 : 8.
A : The difference between the largest and the smallest share.
B : $ 1200 Show Answer


Q79) The ratio of the number of boys to girls in the chess club is 5 : 2.
The ratio of the number of boys to girls in the glee club is 11 : 4.
A : The number of boys in the chess club
B : The number of boys in the glee club Show Answer


Q80) Sally invited the same number of boys and girls to her party. Everyone who was invited came, but 5 additional boys showed up. This caused the ratio of girls to boys at the party to be 4 : 5.
A : The number of people she invited to her party.
B : 40 Show Answer


Q81) A large jar is full of marbles. When a single marble is drawn at random from the jar, the probability that it is red is 3/7.
A : The ratio of the number of red marbles to non - red marbles in the jar.
B : 1/2 Show Answer


Q82) 3a = 2b and 3b = 5c
A : The ratio of a to c
B : 1 Show Answer


Q83) The radius of circle II is 3 times the radius of circle I.
A : area of circle II / area of circle I
B : 3 pi Show Answer


Q84) If an amount of Rs. 97,836/- is distributed equally amongst 31 children. How much amount would each child get ? Show Answer


Q85) 80% of a number is equal to three- fifth of another number. What is the ratio between the first and the second number respectively ? Show Answer


Q86) Population of two villages X and Y are in the ratio of 5 : 7 respectively. If the population of village Y increases by 25000 and the population of village X remains unchanged the respectively ratio of their population becomes of village X ? Show Answer


Q87) Three - fifth of a number is more than its 40% by 85. What is 60% of that number ? Show Answer


Q88) Present age of Rama and Shyama are in the ratio of 4 : 5 respectively. Five years hence the ratio of their ages becomes 5 : 6 respectively. What is Rama's present age ? Show Answer


Q89) Present ages of father and the son are in the ratio of 6 : 1 respectively. Four years hence the ratio of their ages will become 4 : 1 respectively. What is the son's peresent age ? Show Answer


Q90) The ratio between the ages of father and his son four years ago was 19 : 6. If the difference between the ages of the father and son is 26 years, what will be the ratio of their present ages ? Show Answer


Q91) The ratio between the boys and girls in a class is 6 : 5 respectively. If 8 more boys join the class and two girls leave the class then the respective ratio becomes 11: 7. What is the number of boys in the class now ? Show Answer


Q92) The average of ages of a woman and her daughter is 28.5 years. The ratio of their ages is 14 : 5. What is the daughter's age ? Show Answer


Q93) The ratio of Ram's and Rahim's ages is 3 : 2. The ratio of Rahim's and Aman's present ages is 5 : 2. What is the ratio of Ram's and Aman's present ages ?
Show Answer


Q94) The difference between a number and two fifth of the number is 30, find the number. Show Answer


Q95) Avinash, Manoj and Arun entered into a partnership by investing a sum in the ratio of 3 : 2 : 5 respectively in a business. The total gain at the year was Rs. 45,000 which 15% of their total investment. What was Manoj's investment ? Show Answer


Q96) The ratio of roses and lilies in a garden is 3 : 2 respectively. The average number of roses and lilies is 180. What is the number of lilies in the garden ? Show Answer


Q97) The number of employees in Companies A, B and C are in the ratio of 3 : 2 : 4 respectively. If the number of employees in the three Companies is increased by 20%, 30% and 15% respectively. What will be the new ratio of employees working in Companies A, B and C respectively ? Show Answer


Q98) If the numerator of a certain fraction increased by 200% and the denominator is increased by 150% the new fraction thus formed is 9/10. What is the original fraction ? Show Answer