Math Olympiad Questions with solutions : Ratio and Proportion Class 6
1.The middle terms, if four different numbers are in proportion are called______ .
(A) Antecedents (B) Means (C) Extremes (D) Consequents
2.In a cricket coaching camp, 1200 children are trained out of which 900 are selected for various matches. Ratio of non-selected children to the total number of children is___ .
(A) 300 : 120 (B) 4 : 1 (C) 1 : 4 (D) 120 : 300
3. A bus travels 126 km in 3 hours and a train travels 315 km in 5 hours. The ratio of their speeds is_____ .
(A) 126 : 315 (B) 2 : 3 (C) 1 : 3 (D) 3 : 5
4. A generator consumes 2.875 litres of diesel per hour. The quantity of diesel required to run the generator for 24 hours is_____ .
(A) 45 litres (B) 55 litres (C) 72 litres (D) 69 litres
5. Divide Rs. 3010 among A, B, C respectively in such a way that A gets double of what B gets and B gets double of what C gets.
(A)Rs. 1720, Rs. 860, Rs. 430 (B) Rs. 1640, Rs. 920, Rs. 450
(C) Rs. 1690, Rs. 825, Rs. 495 (D) Rs. 1800, Rs. 400, Rs. 810
6.The values of x and y in the box respectively are________ .
(A) 5, 12 (B) 12, 5 (C) 5, 10 (D) 10, 5
7. If p : q : : r: s, then the correct statement is______.
(A) qr = ps (B) pqr = s (C) qrs =p (D) pq=rs
(A) 70 °, 70 °, 40 ° (B) 80 °, 60 °, 40 ° (C) 60 °, 60 °, 60 ° (D) 75 °, 45 °, 60 °
9.Share of A, B and C respectively, is___ , if Rs. 4340 is divided in 1/2:1/3: 1/5.
(A) Rs. 2100, Rs. 1400, Rs. 840 (B) Rs. 1400, Rs. 2100, Rs. 840
(C) Rs. 840, Rs. 2100, Rs. 1400 (D) Rs. 1400, Rs. 840, Rs. 2100
10.If â–¡ persons : 10 persons = 7000 paise : Rs. 100, then â–¡ means________.
(A) 5 (B) 6 (C) 7 (D) 8
11. If 12 men can do a piece of work in 18 days , in how many days will 8 men complete it ?
(A) 12 (B) 27 (C) 10 (D) 16/3
12.Ratio of shaded fraction to whole is __________.
(A) 1:2 (B) 1 : 3 (C) 3 : 4 (D)2 : 3
13.A litre of kerosene oil weighs 0.819 kg and 10 litres of petrol weighs 7.02 kg, then the ratio of the weight of kerosene oil to that of petrol per litre is_______ .
(A) 7 : 5 (B) 5 : 7 (C) 6 : 7 (D) 7: 6
14.Ratio is a method of comparing two quantities by______ .
(A) Addition (B) Subtraction (C) Division (D) Multiplication
15.The antecedent and consequent of a ratio_____ interchanged unless there is a change in the given statements.
(A) Can be (B) Cannot be (C) Sometimes (D) None of these
16. Cost of a toffee is 50 paise and cost of a chocolate is Rs. 10, then the ratio of the cost of a toffee to the cost of a chocolate is______ .
(A) 5 : 1 (B) 1 : 20 (C) 1 : 5 (D) 20 : 1
17. The ratio of father’s age to that of his son is equal to the ratio of the mother’s age to that of her daughter. If the ages of mother, son and daughter be 48, 24 and 18 years respectively, then the age of the father is_________.
(A) 54 years (B) 60 years (C) 64 years (D) 50 years
18. In a quiz programme, the ratio of correct answers to incorrect answers is 5 : 2. If 16 incorrect answers are given, then the number of correct answers given is______ .
(A) 80 (B) 40 (C) 20 (D) 30
19.In the word MATHEMATICS, the ratio of number of consonants to the number of vowels is_____ .
(A) 4 : 7 (B) 7 : 4 (C) 5 : 6 (D) 6 : 5
20. A bag contains one rupee, 50 paise and 25 paise coins in the ratio 5 : 6 : 8. If the total amount is ? 420, find the total number of coins.
(A) 798 (B) 789 (C) 978 (D) 987
21.Divide 1162 into three parts such that 4 times the first part, 5 times the second part and 7 times the third part are equal.
(A) 490, 392, 280 (B) 492, 392, 380 (C) 493, 329, 389 (D) 393, 290, 360
22. The ratio of (1/3 of Rs.9.30) to (0.6 of Rs.1.55) is________ .
(A) 1:3 (B) 10:3 (C) 3 : 10 (D) 3 : 1
23. Which of the following ratios is not equal to 8 : 3 in its simplest form?
(A) 16 : 6 (B) 104 : 36 (C) 56 : 21 (D) 896 : 336
24. The monthly salary of A, B, C is in the proportion of 2 : 3 : 5. If C’s monthly salary is Rs. 1200 more than that of A, then B’s annual salary is _________
(A) Rs.14400 (B) Rs. 24000 (C) Rs. 1200 (D) Rs. 2000
25. The prices of a scooter and a television set are in the ratio 3 : 2. If a scooter costs Rs. 6000 more than the television set, the price of the television set is_______ .
(A) Rs.6000 (B) Rs. 10000 (C) Rs. 12000 (D) Rs. 18000
26.A certain amount was divided between Kavita and Reena in the ratio 4 : 3. If Reena’s share was Rs. 2400, then the total amount is_____ .
(A) Rs. 5600 (B) Rs. 3200 (C) Rs. 9600 (D) None of these
27.The incomes of A and B are in the ratio 3 : 2 and their expenditures are in the ratio 5 : 3. If each saves Rs. 1000, then A’s income is____.
(A) Rs. 3000 (B) Rs.4000 (C) Rs. 6000 (D) Rs.9000
28. If a : b = c : d, then ma+nc/mb+nd is equal to_______.
(A) m : n (B) na : mb (C) a :b (D) md:nc
29. A’s money is to B’s money as 4 : 5 and B’s money is to C’s money as 2 : 3. If A has Rs.800, C has
(A) Rs. 1000 (B) Rs. 1200 (C) Rs. 1500 (D) Rs. 2000
30. A sum of Rs. 1300 is divided among A, B, C and D such that
(A) Rs. 140 (B) Rs. 160 (C) Rs. 240 (D) Rs.320
Comments by Paras