- Study Anytime, Anywhere through Our Mobile App & Web Portal
- 1000+ Video Lectures by CAT/XAT Topper Faculties
- 400+ Hours content of CAT Preparation Videos
- 9000+ Questions in Online CAT Coaching Course
- 200+ Topic Based Tests (50+ Basic, 50+ Moderate & 50+ Advanced Level)
- 20+ CAT Mocks (Pro CATs – Best Online Tests Series for CAT)
- 10+ Mock OMETs (Online Test Series for SNAP, NMAT, IIFT, XAT, TISS, CMAT)
- Online Doubt Solving on One – to – One basis
- GD-PI-WAT Online Preparation Material
Get access to the detailed solutions to the previous years questions asked in IIM IPMAT exam
Let us assume the four numbers to be a, b, c and d in ascending order.
Average of first two numbers is 1 more than the first number
(a + b)/2 = a + 1
b – a = 2
b = a + 2
Average of first three numbers is 2 more than average of first two numbers
(a + b + c)/3 = (a + b)/2 + 2
2c = a + b + 12
Substituting the value for b
2c = a + a + 2 + 12
2c = 2a + 14
c = a + 7
Average of first four numbers is 3 more than average of first three numbers.
(a + b + c + d)/4 = (a + b + c)/3 + 3
3d = a + b + c + 36
Substituting the value of b and c
3d = a + a + 2 + a + 7 + 36
3d = 3a + 45
d = a + 15
d is the largest and a is the smallest and we know that d = a + 15
Hence the difference between the smallest and the largest values is 15.