Test: Data Caselets - CAT MCQ

Directions: Study the following information carefully and answer the questions given beside.

At 10 am Amit left for work 90 km from his house, travelling at 45 km/hr. He reaches there at [A] pm. He can do a piece of work alone in 6 hours and Sumit can do the same work alone in 8 hours. They together finish the work in [B] hours. After finishing the work, while returning home if Amit increases his speed by 5 km/hr, then he reaches his house in [C] hours.

Q. If Amit alone works just for 2 hours and then leaves, then the rest of the work is completed by Sumit alone, then in how much time the remaining work gets completed?

Directions: Study the following information carefully and answer the questions given beside.

At 10 am Amit left for work 90 km from his house, travelling at 45 km/hr. He reaches there at [A] pm. He can do a piece of work alone in 6 hours and Sumit can do the same work alone in 8 hours. They together finish the work in [B] hours. After finishing the work, while returning home if Amit increases his speed by 5 km/hr, then he reaches his house in [C] hours.

Q. In how much time, same work will be completed, if Amit and Sumit work alternately for an hour each starting with Amit?

Directions: The following caselet shows the number of males and females working in three different hospitals.

Number of females working in hospital A is 40% more than the number of males working in the same hospital and the number of males working in hospital B is 100 less than the males working in hospital A. Number of females working in hospital B is  100 less than the number of females working in hospital A. Number females working in hospital C is 75% of the number of females working in hospital B. Total females working in all the hospitals is 1750. Ratio between the number of females to males in hospital C is 3: 2.

If 66.66% of the males working in hospital C are married and 40% of the females working in hospital C are unmarried. Find the number of married persons working in hospital C.

Directions: The following caselet shows the number of males and females working in three different hospitals.

Number of females working in hospital A is 40% more than the number of males working in the same hospital and the number of males working in hospital B is 100 less than the males working in hospital A. Number of females working in hospital B is  100 less than the number of females working in hospital A. Number females working in hospital C is 75% of the number of females working in hospital B. Total females working in all the hospitals is 1750. Ratio between the number of females to males in hospital C is 3: 2.

Find the difference between 3/7 th and 3/4 th of females working in hospital A and B to the total males working in hospital C.

Directions: The following caselet shows the number of males and females working in three different hospitals.

Number of females working in hospital A is 40% more than the number of males working in the same hospital and the number of males working in hospital B is 100 less than the males working in hospital A. Number of females working in hospital B is  100 less than the number of females working in hospital A. Number females working in hospital C is 75% of the number of females working in hospital B. Total females working in all the hospitals is 1750. Ratio between the number of females to males in hospital C is 3: 2.

If 40% , 25% and 33.33% of the males working in hospital A, B and C respectively are doctors and the remaining are nursing officers. Find the number of nursing officers working in hospital A, B and C.

Direction: Read the following data carefully and answer the following questions :

Two friends Amy and Sammy invested different amounts on simple and compound interest. The difference between the amount invested on simple interest by Sammy and Amy is Rs. 6000 and total simple interest earned by Amy and Sammy is Rs. 20640. Total amount invested in compound interest by Amy and Sammy is Rs. 25000 and the ratio between the amount invested on compound interest by Sammy and Amy is 3 : 2. Amy and Sammy invested on simple interest at the rate of interest 20% and 24% for 5 and 2 years respectively. For compound interest, Amy and Sammy invested at the rate of interest of 10% and 20% for two years and a year respectively.

What percent is the total sum invested by Amy and Sammy on the compound interest of the total sum invested on simple interest? (Sammy's investment is more than that of Amy's investment).

Direction: Read the following data carefully and answer the following questions :

Two friends Amy and Sammy invested different amounts on simple and compound interest. The difference between the amount invested on simple interest by Sammy and Amy is Rs. 6000 and total simple interest earned by Amy and Sammy is Rs. 20640. Total amount invested in compound interest by Amy and Sammy is Rs. 25000 and the ratio between the amount invested on compound interest by Sammy and Amy is 3 : 2. Amy and Sammy invested on simple interest at the rate of interest 20% and 24% for 5 and 2 years respectively. For compound interest, Amy and Sammy invested at the rate of interest of 10% and 20% for two years and a year respectively.

What is the ratio between the amounts got after 2 years and a year on the sum invested by Amy and Sammy on compound interest calculated annually?