Free MHT-CET PCM mock tests
150 MCQs: Physics 50, Chemistry 50 (1 mark each), Mathematics 50 (2 marks each). 200 marks, 3 hours, no negative marking.
Exam pattern
| Section | Questions | Time |
|---|---|---|
| Physics | 50 | 90 min |
| Chemistry | 50 | 90 min |
| Mathematics | 50 | 90 min |
MHT-CET PCM tests
Solved MHT-CET PCM questions
- The general solution of \(\frac{dy}{dx}+\frac yx=x^2\) is Answer: B. xy=x⁴/4+C I.F. =e^(∫ dx/x)=x ; d/dx(xy)=x³⇒ xy=x⁴/4+C . 1
- A bacterial population grows at a rate proportional to its size and doubles in 2 hours. The time in which it becomes 8 times the original is Answer: B. 6 hours N=N₀e^kt , e^2k=2 . 8=2³⇒ t=3×2=6 h. 1
- A random variable \(X\) has \(P(X=x)=kx\) for \(x=1,2,3,4\). Then \(E(X)\) is Answer: C. 3 k(1+2+3+4)=1⇒ k=frac110 ; E(X)=1+4+9+16/10=3 . 1
- The p.d.f. of \(X\) is \(f(x)=kx^2\) for \(0\le x\le3\) and 0 otherwise. Then \(P(X\le1)\) is Answer: C. frac127 ∫₀³kx²dx=9k=1⇒ k=1/9 ; P(X≤1)=1/9·1/3=frac127 . 1
- A fair coin is tossed 6 times. The probability of getting exactly 3 heads is Answer: C. 5/16 binom63(1/2)⁶=20/64=frac516 . 1
- The mean and variance of a binomial distribution are 4 and 3 respectively. The number of trials n is Answer: D. 16 q=3/4⇒ p=1/4 ; n=4/1/4=16 . 1
- The value of \((1+i)^8\) is Answer: C. 16 (1+i)²=2i⇒(1+i)⁸=(2i)⁴=16 . 1
- If \(\omega\) is a complex cube root of unity, then \((1+\omega-\omega^2)^3=\) Answer: D. −8 1+ω=-ω²⇒(-2ω²)³=-8ω⁶=-8 . 1
- The number of distinct arrangements of the letters of the word BANANA is Answer: C. 60 6!/3! 2!=60 (A repeated 3 times, N twice). 1
- A committee of 5 is to be formed from 6 men and 4 women. The number of ways in which it contains at least 3 women is Answer: B. 66 binom43binom62+binom44binom61=60+6=66 . 1
Questions students ask
- Are the MHT-CET PCM mock tests on Doubtly free?
- Yes. Every MHT-CET PCM mock test and previous paper on Doubtly is free. You need a free account to take a test so your answers and score are saved.
- What is the MHT-CET PCM exam pattern?
- 150 MCQs: Physics 50, Chemistry 50 (1 mark each), Mathematics 50 (2 marks each). 200 marks, 3 hours, no negative marking.
- Who conducts MHT-CET PCM?
- MHT-CET (PCM group) is conducted by State CET Cell, Maharashtra. Always check the latest official notification for dates and any pattern changes.
- Do I get solutions after the test?
- Yes. When you submit (or time runs out) you see your score, the correct answer for every question with a worked solution, and time spent per question.
- How many MHT-CET PCM tests are available?
- 1 test is available now, and new ones are added regularly.