Caselet Interpretation questions with solutions

1. Question 1Moderate
   In a college there are 900 students. The ratio of boys to girls is 5 : 4. Of the boys, 40% play a sport, and of the girls, 25% play a sport.

   How many boys are there in the college?

   • A.450
   • B.480
   • C.500Correct
   • D.520
   • E.540
   Show solution

   The ratio 5 : 4 has 9 parts for 900 students, so one part is 100. Boys are 5 parts: 5 x 100 = 500.

2. Question 2Moderate
   In a college there are 900 students. The ratio of boys to girls is 5 : 4. Of the boys, 40% play a sport, and of the girls, 25% play a sport.

   How many girls are there in the college?

   • A.360
   • B.380
   • C.400Correct
   • D.420
   • E.440
   Show solution

   Girls are 4 of the 9 parts, and one part is 100, so girls number 4 x 100 = 400. As a check, 500 boys plus 400 girls is 900.

3. Question 3Moderate
   In a college there are 900 students. The ratio of boys to girls is 5 : 4. Of the boys, 40% play a sport, and of the girls, 25% play a sport.

   How many boys play a sport?

   • A.180
   • B.190
   • C.200Correct
   • D.210
   • E.220
   Show solution

   There are 500 boys, and 40% of them play a sport: 0.40 x 500 = 200.

4. Question 4Moderate
   In a college there are 900 students. The ratio of boys to girls is 5 : 4. Of the boys, 40% play a sport, and of the girls, 25% play a sport.

   How many girls play a sport?

   • A.80
   • B.90
   • C.100Correct
   • D.110
   • E.120
   Show solution

   There are 400 girls, and 25% of them play a sport: one quarter of 400 is 100.

5. Question 5Moderate
   A company has 1200 employees. 45% work in Operations, 25% in Sales, 15% in Technology and the rest in Support. Among the Operations employees, the ratio of men to women is 5 : 4.

   How many employees work in Sales?

   • A.250
   • B.275
   • C.300Correct
   • D.325
   • E.350
   Show solution

   Sales makes up 25% of the 1200 employees. A quarter of 1200 is 1200 / 4 = 300. Recognising 25% as one fourth avoids the longer multiplication by 0.25.

6. Question 6Moderate
   A company has 1200 employees. 45% work in Operations, 25% in Sales, 15% in Technology and the rest in Support. Among the Operations employees, the ratio of men to women is 5 : 4.

   How many employees work in Support?

   • A.150
   • B.160
   • C.180Correct
   • D.200
   • E.210
   Show solution

   The four groups must total 100%, so Support is 100 - 45 - 25 - 15 = 15%. Then 15% of 1200 is 0.15 x 1200 = 180. Finding the leftover percentage first is the standard first step in any share-of-total caselet.

These are 6 of 10 caselet interpretation questions in the bank. Attempt the rest with instant feedback in the practice drills, or under a clock in the mock tests.