f′(x)=6x2≥0, with equality only at x=0, so f is strictly increasing, hence one-one.
As x→±∞, f→±∞, so range is R (onto).
Thus f is bijective: (A) and (C).
CUET UG 2023 — Mathematics Arithmetic
The quantity of water that must be added to 36 litres of milk at 221 litres for ₹ 120 so as to have mixture worth ₹ 36 for a litre is :
Held on 15 Jun 2023 · Verified 13 Jul 2026.
12 litres
10 litres
15 litres
20 litres
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.