Linear Equations
40 CDS Mathematics previous year questions (PYQs) from 14 papers, 2016 to 2026, with answers and worked solutions.
About this chapter
- Difficulty: 12 easy · 20 moderate · 8 hard.
- Most-asked subtopics: Word Problems and Applications (13), Age Problems (12), Solving Linear Systems (10).
- Updated 6 September 2026.
#1Solving Linear Systems
#2Solving Linear Systems
#3Solving Linear Systems
#4Solving Linear Systems
#5Solving Linear Systems
Done a few? Here’s your next move
#6Solving Linear Systems
#7Solving Linear Systems
- Set · 1 questionConsider the following for the next ten (10) items that follow :
#8Solving Linear Systems
#9Solving Linear Systems
#10Solving Linear Systems
#11Word Problems and Applications
#12Word Problems and Applications
#13Word Problems and Applications
#14Word Problems and Applications
#15Word Problems and Applications
#16Word Problems and Applications
#17Word Problems and Applications
#18Word Problems and Applications
- Set · 2 questionsThe total monthly electricity bill for a house consists of the sum of two parts, one part is proportional to number of rooms and the other part is proportional to number of units consumed. Rs. 400 is the monthly electricity bill for a house with 8 rooms and consuming 240 units and Rs. 320 is the monthly electricity bill for a house with 6 rooms and consuming 200 units.
#19Word Problems and Applications
#20Word Problems and Applications
#21Word Problems and Applications
#22Word Problems and Applications
#23Word Problems and Applications
#24Age Problems
#25Age Problems
#26Age Problems
#27Age Problems
#28Age Problems
#29Age Problems
#30Age Problems
- Set · 3 questionsConsider the following for the next (05) items that follow : A, B, C, D, E, F and G are cousins. D is thrice as old as A. Further, C is as many years younger to B, as G to E and E to D. The average age of D and G is 16 years; the average age of A and E is 11 years; the average age of B and C is also 11 years. B and C have equal weight. A's weight is 10 kg less than that of B; D is 4 kg heavier than E; E is 4 kg heavier than F; F is 4 kg heavier than G. Further, D has age-weight ratio of 9 : 20, where age is in years and weight in kg; A has age-weight ratio of 2 : 5. Moreover, none of them is more than 40 kg.
#31Age Problems
#32Age Problems
#33Age Problems
#34Age Problems
#35Age Problems
#36Integral Solutions and Diophantine Equations
#37Integral Solutions and Diophantine Equations
#38Integral Solutions and Diophantine Equations
#39Integral Solutions and Diophantine Equations
#40Integral Solutions and Diophantine Equations
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