Special Quant Quiz (Ratio & Proportion Based on TRICKS)

Q1. The number that must be added to each of the numbers 8, 21, 13 and 31 to make the ratio of first two numbers equal to the ratio of last two numbers is:  
(a) 5
(b) 9
(c) 7
(d) None of these

Q2. The incomes of A and B are in the ratio 3: 2 and their expenditures in the ratio 5: 3. If each saves Rs. 1000, A’s income is:  
(a) Rs. 5000
(b) Rs. 6000
(c) Rs. 8000
(d) None of these

Q3. The annual incomes and expenditures of a man and his wife are in the ratios of 5: 3 and 3: 1, respectively. If they decide to save equally and find a balance of Rs. 4000 at the end of year, their incomes were:  
(a) Rs. 5000, Rs. 3000
(b) Rs. 6000, Rs. 4000
(c) Rs. 3000, Rs. 2000
(d) None of these

Q4. Two alloys contain zinc and copper in the ratio of 2 : 1 and 4 : 1. In what ratio of the two alloys should be added together to get a new alloy having zinc and copper in the ratio of 3 : 1?
(a) 7: 5
(b) 5: 7
(c) 3: 5
(d) None of these

Q5. The ratio of the number of students studying in schools A, B and C is 6: 8: 7 respectively. If the number of students studying in each of the schools is increased by 20%, 15% and 20% respectively, what will be the new ratio of the number of students in Schools A, B and C? 
(a) 18 : 23 : 21
(b) 12 : 18: 1
(c) 18 : 21 : 17
(d) Cannot be determined
(e) ) None of these

Q6. Amit, Sumit and Vinit Divide an amount of Rs. 2,800 amongst themselves in the ratio of 5 : 6 : 3 respectively. If an amount of Rs. 200 is added to each of their shares. What will be the new ratio of their shares of the amount?  
(a) 8 : 9 : 6
(b) 6 : 7 : 4
(c) 7 : 8 : 5
(d) 4 : 5 : 2

Q7. A and B are two different alloys of gold and copper prepared by mixing metals in the proportion 7 : 2 and 7 : 11, respectively. If equal quantities of the alloys are melted to form a third alloy C, find the ratio of gold and copper in C. 
(a) 5 : 7
(b) 6 : 6
(c) 7 : 5
(d) 14 : 13

Q8. Three pots have the same volume. The ratio of milk and water in first, second and third pots are 3:2, 7:3 and 11:4, respectively. If the liquid of three pots are mixed, then the ratio of milk and water in the mixture is:
(a) 61 : 29
(b) 61 : 30
(c) 5 : 4
(d) 29 : 61

Q9. Tea at Rs. 126 per kg and at Rs. 135 per kg and mixed whit a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety (per kg) is:
(a) Rs. 169.50
(b) Rs. 175
(c) Rs. 175.50
(d) Rs. 185
 
Q10. If 378 coins consist of 1 rupee, 50 paise and 25 paise coins whose values are in the ratio of 13: 11 : 7, the number of 50-paise coins will be  
(a) 132
(b) 128
(c) 136
(d) 133

Q11. A jar contains black and white marbles. If there are ten marbles in the jar, then which of the following could not be the ratio of black to white marbles?
(a) 9 : 1
(b) 7 : 3
(c) 1 : 10
(d) 1 : 4

Q12. Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of remaining persons increased by:  
(a) One-ninth
(b) One-eighth
(c) One-seventh
(d) Seven-eighth

Q13. In a business, A and C invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by A and B was 3 : 2. If Rs. 1,57,300 was their profit, how much amount did B receive?
(a) Rs. 72600
(b) Rs. 48400
(c) Rs. 36300
(d) Rs. 24200

Q14. Instead of dividing of Rs. 117 among P, Q, R in the ratio 1/2:1/3 ∶1/4, it was divided in the ratio 2 : 3 : 4 by mistake. Who gained in this transaction?
(a) Only P
(b) Only Q
(c) Only R
(d) Both Q and R

Q15. An employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage bill was Rs. 18,900, find the ratio in which the wage bill is decreased.
(a) 20 : 21
(b) 21 : 29
(c) 20 : 19
(d) 19 : 21