CAT 2023 Slot 1 - Arithmetic Questions

1. Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that a 10% profit is made on object B, then the profit made on object A will be nearest to:

A) 37%
B) 42%
C) 47%
D) 52%

2. A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing it with cocoa powder. The same process is repeated to form mixture Q. If the ratio of coffee and cocoa in the mixture Q is 16:9, then the ratio of cocoa in mixture P to that in mixture Q is:

A) 4/9
B) 5/9
C) 2/3
D) 3/4

3. Anil invests Rs. 22,000 for 6 years in a certain scheme with 4% interest per annum, compounded half-yearly. Sunil invests in the same scheme for 5 years, and then reinvests the entire amount received at the end of 5 years for one year at 10% simple interest. If the amounts received by both at the end of 6 years are the same, then the initial investment made by Sunil, in rupees, is:

A) 20,500
B) 20,808
C) 21,000
D) 21,500

4. Amal, Sunil, and Kamal can individually complete a job in a certain number of days, forming a harmonic progression. Kamal takes twice as much time as Amal to do the same amount of work. If Amal and Sunil work for 4 and 9 days respectively, and Kamal needs to work for 16 days to finish the remaining job, then the number of days Sunil will take to finish the job working alone is:

A) 21
B) 24
C) 27
D) 30

5. Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind traveled at a speed of 54 km/h, then the distance, in km, between town A and town B is:

A) 648 km
B) 720 km
C) 864 km
D) 972 km