R={(1,6),(2,7),(3,8)}.
Not reflexive: (1,1)∈/R.
Not symmetric: (1,6)∈R but (6,1)∈/R.
Transitive vacuously: no (a,b),(b,c) pairs exist where b is the first element of another pair.
CUET UG 2023 — Mathematics Arithmetic
If x is the least positive integer satisfying 100≡x(mod6), then (2x+1) is equal to :
Held on 15 Jun 2023 · Verified 13 Jul 2026.
7
5
9
11
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
In 900 meters race, Ram gives Shyam a start of 150 meters and defeats him by 50 seconds. If the speed of Ram is 4.5 m/sec, then speed of Shyam is
The speed of a motorboat in still water and that of the current of water is in a ratio of 27:5. The boat goes along the current from point A to point B in 3 hours 40 minutes. How much time will it take to come back from B to A?
A fisherman is rowing a boat. He takes 6 hours to row 48 km upstream whereas he takes 3 hours to go to the same distance downstream. Based on the above information, which of the following are correct? (A) His speed of rowing in still water is 10 km/hour. (B) The speed of the stream is 3 km/hour. (C) The average speed of the fisherman is 32/3 km/hour. (D) The speed of the stream is 4 km/hour. Choose the correct answer from the options given below:
Three pipes A, B and C are installed to fill a tank. Pipes A and B opened together can fill the tank in the same time in which C can alone fill the tank. If pipe B can fill the tank 15 minutes faster than pipe A and 5 minutes slower than pipe C then the time required by pipe A to fill the tank alone is
Siyaram has 100 kg apples, he sells a part of it at 8% profit and rest of it at 18% profit. The overall profit he earns is 14%. The quantity he sold at 18% profit is:
Work through every CUET UG Arithmetic PYQ, year by year.