As you want to know about last year Cut Off of BPCL Management Trainee Recruitment through GATE, so here I am providing last year Cut Off:

BPCL Management Trainee through GATE Cut Off 2016
Discipline GEN OBC SC ST PH
Chemical 57 55 47 40 35
Mechanical 68 65 54 46 35
Instrumentation 60 58 43 33 35

Here I am providing sample questions for BPCL Management Trainee Recruitment for your reference:

BPCL Management Trainee Recruitment Exam Sample Question Paper
1) Given a capacitor with its capacitance and the value of voltage across, find the energy stored
2) To reduce cost of power generation,what should be done, increase/decrease diversity factor and increase/decrease load factor.
3) SCR works in forward bias/ rev bias./both
4) An op-amp with a shunt resistor in inverting terminal and a diode across acts as a half wave rectifier/ full wave rect/log amplifier
5) Configuration of a 2 kb ROM with 512* 4 cells.
6) How many electrons flowing per sec constitute 1 amp current
7) Any quist plot was given with a curve to left of the plane is it stable/ marginaly stable/ marginally unstable?
8) Given a maximum demand and connected load of a consumer, find demand factor
9) Principle of transformer
10) An electronic voltmeter has - transistor and sme other options.
11) What does Shmitt trigger generate.
12) What is the decisive factor for design of EHV. corona, switching voltage.
13) What is the max voltage on low tension and high tension respectively. 11 kv & 33 kv, 1 kv & 66 kv.
14) For a chopper circuit to work..what is reqd forced commutation/natural commutation/ both
15) Something abt JFET Q point. Is it bbased on drain resistance/ source resistance.
16) In a parallel resonant circuit, values of L and C are given, find value of R at 10Krad.
17) For a resonant circuit, admittance is max/ impedance is max/ impedance is reactive. Which is corrcet
18) To have max heating how shud two identical coils be connected parallel/series
19) State equation for nth order system
20) Questions about an equation, was it underdamped or not

21) Given a transfer funtion, find its impulse input
22) For a unit feedback system, out put is nearly equal to input/nearly equal/.greater
23) Two system with tran function as g1 ans g2 connected in series, what is the net
transfer fucntion g1*g2/g1 + g2?
24) How is reactive power generated at load centres. shunt capacitor, series capacitor,
tap changing transformer
25) To measure power factor we use wattmeter/voltmeter/both ammeter and voltmeter.
26) What is the amount of resistor to be conected across ammeter to measure a current
(i) Given its max rating n internal impedance
27) Question to find equivalent resistance on smth similar to wheatstone bridge
28) Simlar question of network abt voltage drops n all
29) Why is reactance less for a running motor
30) What happens to a running motor when fault occurs on one of the lines
31) What kind of relay is earth fault relay
32) Which results in a symm fault phase top phase fault, single phase fault, two phase
fault.