Ratio and Proportion : Ratio and Proportion 1
*How to combine the ratios.*Principles of variation*How to compare fractional ratios.*Concept of fixed & Variable.*Some actual CAT questions. : Learning Objectives 2 *How to combine the ratios.*Principles of variation*How to compare fractional ratios.*Concept of fixed & Variable.*Some actual CAT questions.
Ques.1: In a joint family, there are 2.2 females for every 2 males. If there are a total of 84 people in the family, how many of them are females? : 3 Ques.1: In a joint family, there are 2.2 females for every 2 males. If there are a total of 84 people in the family, how many of them are females?
Slide 4 : 4 Answer
is 44.
Ques.2: Divide Rs. 671 among A, B and C such that if their shares be increased by Rs. 3, 7 & 9 respectively, their totals shall be in the ratio 1 : 2 : 3. What is the share of A? (CAT) : 5 Ques.2: Divide Rs. 671 among A, B and C such that if their shares be increased by Rs. 3, 7 & 9 respectively, their totals shall be in the ratio 1 : 2 : 3. What is the share of A? (CAT)
Slide 6 : 6 Answer
is Rs.112
Ques.3: In 2 vessels of equal quantity, ratio of milk & water is 3 : 5 & 4 : 7 respectively. If contents of these 2 vessels r mixed in 3rd vessel, what will be ratio of milk & water in that? : 7 Ques.3: In 2 vessels of equal quantity, ratio of milk & water is 3 : 5 & 4 : 7 respectively. If contents of these 2 vessels r mixed in 3rd vessel, what will be ratio of milk & water in that?
Slide 8 : Answer
is 65 : 111 8
Ques.4: The ratio of A : B is 2 : 3 and the ratio of B : C is 4 : 5. What is the ratio of A : B : C? : 9 Ques.4: The ratio of A : B is 2 : 3 and the ratio of B : C is 4 : 5. What is the ratio of A : B : C?
Slide 10 : 10 Answer
is 8 : 12 : 15.
Ques.5: The incomes of R & S are in ratio of 7 : 5 & their expenditure are in ratio of 5 : 3. If each of them saves Rs. 1000, find the income of S. : 11 Ques.5: The incomes of R & S are in ratio of 7 : 5 & their expenditure are in ratio of 5 : 3. If each of them saves Rs. 1000, find the income of S.
Slide 12 : 12 Answer
is Rs. 2500
Ques.6: The expenses at the hostel are partly fixed and partly variable. The charge per head works out to Rs. 70 when there are 30 students and Rs. 60 per head when the number of students are 40. Find the charge per head when there are 60 students. : 13 Ques.6: The expenses at the hostel are partly fixed and partly variable. The charge per head works out to Rs. 70 when there are 30 students and Rs. 60 per head when the number of students are 40. Find the charge per head when there are 60 students.
Slide 14 : 14 Answer
is 50
Ques.7: One year ago, the ratio b/w A’s salary & B’s salary was 3 : 4. The ratio of their individual salaries b/w last year’s & this year’s salaries are 4 : 5 and 2 : 3 resp. At present the total of their salary is Rs. 4160. The present salary of A is : (CAT) : 15 Ques.7: One year ago, the ratio b/w A’s salary & B’s salary was 3 : 4. The ratio of their individual salaries b/w last year’s & this year’s salaries are 4 : 5 and 2 : 3 resp. At present the total of their salary is Rs. 4160. The present salary of A is : (CAT)
Slide 16 : 16 Answer
is Rs. 1600
Ques.8: There are coins of denomi’n 1 Re, 2 Rs & 5 Rs. Their total no. is 300. Total amt. is Rs. 960. When the no of 1 Re. & 2 Rs. Coins r interchanged, the total amt. decreases by Rs. 40. The no. of 5 Rs. Coins are :(CAT2001) 1.100 2.140 3.60 4.None of these : 17 Ques.8: There are coins of denomi’n 1 Re, 2 Rs & 5 Rs. Their total no. is 300. Total amt. is Rs. 960. When the no of 1 Re. & 2 Rs. Coins r interchanged, the total amt. decreases by Rs. 40. The no. of 5 Rs. Coins are :(CAT2001) 1.100 2.140 3.60 4.None of these
Slide 18 : 18 Answer
is 140 coins
Ques.9 : The reduction in speed of an engine is directly related to square root of the no. of wagons attached. The engine can move @ 80 kmph without any wagons attached. An engine having 64 wagons can move @ 60 kmph. What is the max. no. of wagons that it can carry ? (CAT) : Ques.9 : The reduction in speed of an engine is directly related to square root of the no. of wagons attached. The engine can move @ 80 kmph without any wagons attached. An engine having 64 wagons can move @ 60 kmph. What is the max. no. of wagons that it can carry ? (CAT) 19
Slide 20 : 20 Answer
is 1023
Ques.10: The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be (CAT2006) 1. 101:88 2. 87:100 3. 110:111 4.85:985. 97:84 : Ques.10: The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be (CAT2006) 1. 101:88 2. 87:100 3. 110:111 4.85:985. 97:84 21
Slide 22 : 22 Answer
is 5th option.
Ques.11: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, then what is the value of abc/def? (CAT2006) 1. 3/8 2.27/83.¾ 4. 27/4 5. 1/4 : Ques.11: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, then what is the value of abc/def? (CAT2006) 1. 3/8 2.27/83.¾ 4. 27/4 5. 1/4 23
Slide 24 : 24 Answer is
1st option.