Q1. A mixture contains acid and water in the ratio 1 : 4 and another contains them in the ratio 4 : 5. If we want a third mixture from the above two in a ratio 2 : 7, the proportion in which the two varieties should be mixed is
a. 1 : 10
b. 3 : 5
c. 5 : 2
d. 10 : 1

Q2. Ram and Shyam share a semicircular slice of a pizza such that Ram’s share is the largest possible circle that can be cut out of the semicircle slice. Find the ratio of Shyam’s share to that of Ram’s
a. 1: 1
b. 2 : 1
c. 3 : 2
d. 2 : 3

Q3.Nirupama mixed 40 ml of 40% sulphuric acid solution with 76 ml of 25% sulphuric acid. In what ratio must the resulting solution should now be mixed with 50% sulphuric acid to give 40% sulphuric acid again?
a. 58 : 57
b. 23 : 32
c. 32 : 23
d. 35 : 24

Q4. A merchant bought two varieties of rice costing Rs. 216 and Rs. 300 per bag respectively. He mixed these and sold at Rs. 288 per bag at a profit of 20%. What was the ratio of the mixture?
a. 6 : 5
b. 2 : 1
c. 3 : 2
d. 5 : 2