CAT Arithmetic Questions with Solutions PDF

Question 1: There is an increment of 600 gm in the average weight of students in a class when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the old students, then what is the ratio of the number of old students to the number of new students?

a) 1:4

b) 1:2

c) 4:1

d) 3:1

Question 2: Two trains A and B started simultaneously from stations X and Y, respectively. Both the trains move towards each other with their constant speeds. Train A travels from station X to station Y in 10 minutes, while train B travels from station Y to station X in 9 minutes after meeting train A. Then, what is the total time taken, in minutes, by train B to travel from station Y to station X?

a)  6

b)  15

c) 10

d)  12

Question 3: Ankita bought 4 kg cashews, 14 kg peanuts, and 6 kg almonds when the cost of 7 kg cashews is equivalent to the cost of 30 kg peanuts or 9 kg almonds. She mixed all these nuts together and marked a price on the mixture in such a way that she can earn a profit of ₹1752. She sold 4 kg of the mixture at the marked price and sold the rest at a discount of 20%, earning a total profit of ₹744. Find the total amount, in rupees, that Ankita spends on buying almonds?

a) 1680

b) 1176

c)  2520

d) 1440

Question 4: A mixture of lemon juice and sugar syrup in equal proportion is taken and another mixture is formed by mixing the first mixture with sugar syrup in the ratio 1 : 3. Then find the ratio of the lemon juice and sugar syrup in the second mixture?

a) 1:4

b) 1:5

c) 1:6

d) 1:7