1 EC GATE-6-PAPER- General Aptitude Q. No. 5 Carry One Mark Each. Which of the following is CORRECT with respect to grammar and usage? Mount Everest ...
1 ME GATE-06-PAPER-0 General Aptitude Q. No. 5 Carry One Mark Each. Based on the given statements, select the appropriate option with respect to gram...
1 EE GATE-6-PAPER- General Aptitude Q. No. 5 arry One Mark Each. The chairman requested the aggrieved shareholders to him. (A) bare with (B) bore wit...
1 EE GATE-6-PAPER- General Aptitude Q. No. 5 Carry One Mark Each. The man who is now Municipal Commissioner worked as. (A) the security guard at a u...
1 EE-GATE-5 PAPE- General Aptitude Q. No. 5 Carry One Mark Each. Which of the following combinations is incorrect? (A) Acquiescence Submission (B) W...
1 Geeral Aptitude Q. No. 5 Carry Oe Mark Each. Fid the missig sequece i the letter series below: A, CD, GHI,?, UVWXY (A) LMN (B) MNO (C) MNOP (D) NOPQ...
1 EE-GATE-5 PAPER- General Aptitude Q. No. 5 Carry One Mark Each. A generic term that includes various items of clothing such as a skirt, a pair of ...
1 EC Paper - 03 Geeral Aptitude Q. No. 5 Carry Oe Mark Each. Fid the missig sequece i the letter series below: A, CD, GHI,?, UVWXY (A) LMN (B) MNO (C)...
1 EE-GATE-4 PAPE- Q. No. 5 Carry One Mark Each. Choose the most appropriate phrase from the options given below to complete the following sentence. I...
1 General Aptitude - GA Set-6 Q. 1 Q. 5 carry one mark each. Q.1 The man who is now Municipal Commissioner worked as. (A) the security guard at a univ...
General Aptitude Q. No. 1 – 5 Carry One Mark Each 1.
An apple costs Rs. 10. An onion costs Rs. 8. Select the most suitable sentence with respect to grammar and usage. (A) The price of an apple is greater than an onion. (B) The price of an apple is more than onion. (C) The price of an apple is greater than that of an onion. (D) Apples are more costlier than onions.
The Buddha said, “Holding on to anger is like grasping a hot coal with the intent of throwing it at someone else; you are the one who gets burnt.” Select the word below which is closest in meaning to the word underlined above. (A) burning
M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-law of M. How is P related to M? (A) P is the son-in-law of M.
(B) P is the grandchild of M.
(C) P is the daughter-in law of M.
(D) P is the grandfather of M.
The number that least fits this set: (324, 441, 97 and 64) is ________. (A) 324
324 182 ; 441 212 ;64 82 but 97 x 2 for any positive integer
i.e. 97 is odd man out 5.
It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________. (A) 2.0
The velocity V of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the 7 seconds, how much will the odometer reading increase by (in m)?
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating 70% of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rabies. Which of the following can be logically inferred from the above sentences? (A) The number of people in India infected with rabies is high. (B) The number of people in other parts of the world who are infected with rabies is low. (C) Rabies can be eradicated in India by vaccinating 70% of stray dogs (D) Stray dogs are the main sources of rabies worldwide. (A)
Key: 9. Key:
A flat is shared by four first year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat? (A) Manu (B) Sravan (C) Trideep (D) Pavan (C) Find the area bounded by the lines 3x+2y=14, 2x-3y=5 in the first quadrant. (A) 14.95 (B) 15.25 (C) 15.70 (D) 20.35 (B)
1 z z2 sin z 1 z3 z5 z ..... ...... z2 z2 3! 5! z 3! 5! 1 Resideu coefficient of 1 z
The probability of getting a “head” in a single toss of a biased coin is 0.3. The coin is tossed repeatedly till a “head” is obtained. If the tosses are independent, then the probability of getting “head” for the first time in the fifth toss is . 0.07 Required probability = TTTTH 0.7 0.7 0.7 0.7 0.3
is equal to _________.
1 x 2 1 1 x 2 1 x dx 0 1 1 1 2 2 0
2 1 x
1 1 2 0
Consider the first order initial value problem
with exact solution y x x 2 ex . For x = 0.1, the percentage difference between the exact solution and the solution obtained using a single iteration of the second-order Runge-Kutta method with stepsize h = 0.1is 0.06 to 0.063
Consider the signal x t cos 6t sin 8t , where t is in seconds. The Nyquist sampling rate (in
y' y 2 x x3 , y 0 1, 0 x
samples/second) for the signal y(t) = x(2t+5) is (A) 8
Shifting doesn‟t effects the sampling rate due to scaling by a factor „2‟ spectral components are doubled. X(f )
Vi(t) = 2cos 200t + 4 sin 500t, since there are 2 frequency term output will also have 2 frequency term. If we take 4sin500t first i.e. W = 500 then on the output section, this parallel LC combination have ZLC , so it is open circuit and V0 = Vi
So w.r.t. 4sin500t output must be 4sin500t without any change in amplitude and phase, this is satisfied by only option B. 10.
The I-V characteristics of three types of diodes at the room temperature, made of semiconductors X, Y and Z, are shown in the figure. Assume that the diodes are uniformly doped and identical in all respects except their materials. If EgX, EgY and EgZ are the band gaps of X, Y and Z, respectively, then I
(A) EgX > EgY > EgZ (C) EgX < EgY < EgZ
(B) EgX = EgY = EgZ (D) no relationship among these band gaps exists
The figure shows the band diagram of a Metal Oxide Semiconductor (MOS). The surface region of this MOS is in
The figure shows the I-V characteristics of a solar cell illuminated uniformly with solar light of power 100 mW/cm2. The solar cell has an area of 3 cm2 and a fill factor of 0.7. The maximum efficiency (in %) of the device is ________.
The diodes D1 and D2 in the figure are ideal and the capacitors are identical. The product RC is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage V0 (in volt) at the steady state is
In an 8085 microprocessor, the contents of the accumulator and the carry flag are A7 (in hex) and 0, respectively. If the instruction RLC is executed, then the contents of the accumulator (in hex) and the carry flag, respectively, will be
1.44 1.44 5.64kHz R A 2R B C [2200 24700] 0.022 106
(A) 4E and 0 Key:
(B) 4E and 1
(C) 4F and 0
(D) 4F and 1
RLCRotate left accumulator content without carry
The logic functionality realized by the circuit shown below is
All the transistor are n-mos we know when input to gate is 0 n mos behave as open circuit. Input to Gate is 1 n mos is short circuit.
For the unity feedback control system shown in the figure, the open-loop transfer function G(s) is given as G s
2 s s 1
The steady state error ess due to a unit step input is (A) 0
For unit step input ess
1 . 1 kp
2 s 0 s(s 1)
k p lim G(s) lim s 0
1 0 1
For a superheterodyne receiver, the intermediate frequency is 15 MHz and the local oscillator frequency is 3.5 GHz. If the frequency of the received signal is greater than the local oscillator frequency, then the image frequency (in MHz) is .
An analog baseband signal, band limited to 100 Hz, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with probabilities p1 = p4 = 0.125 and p2 = p3. The information rate (bits/sec) of the message source is
360 to 363
A binary baseband digital communication system employs the signal
1 , 0 t TS p t TS 0, otherwise for transmission of bits. The graphical representation of the matched filter output y(t) for this signal will be (A)
If a right-handed circularly polarized wave is incident normally on a plane perfect conductor, then the reflected wave will be (A) right-handed circularly polarized
(B) left-handed circularly polarized 0
(C) elliptically polarized with a tilt angle of 45
(D) horizontally polarized
If incident wave is right handed polarized then the reflected wave is left handed polarized.
Faraday‟s law of electromagnetic induction is mathematically described by which one of the following equations?
(A) .B 0
(B) .D V
B (C) E t
Q. No. 26 – 55 carry Two Marks Each The particular solution of the initial value problem given below is
D (D) H E t
d2 y dy dy 12 36y 0 with y 0 3 and 36 2 dx dx dx x 0 6x (A) 3 18x e
D2 12D 36 0
6x (B) 3 25x e
3 20x e6x
6x (D) 3 12x e
D 6, 6 C.F C1 C 2 x e 6x y C1 C 2 x e 6x y 0 3 3 C1 dy C 2 e 6x C1 C 2 x e 6x 6 dx dy 36 dx x 0 36 C 2 3 0 .1 6 C 2 18 y 3 18x e 6x
If the vectors e 1 = (1, 0, 2), e 2 = (0, 1, 0) and e 3 = (−2, 0, 1) form an orthogonal basis of the threedimensional real space R3, then the vector u 4,3, 3 R 3 can be expressed as (A) u e1 3e2
The ROC (region of convergence) of the z-transform of a discrete-time signal is represented by the shaded region in the z-plane. If the signal x n 2.0 , n , then the ROC of its z-transform is n
x n 2n u n 2 n u n 1 2n u n ; ROC : z 2 2 n u n 1 ; ROC : z 0.5 Thus combined ROC does not exist for x[n] 32.
Assume that the circuit in the figure has reached the steady state before time t = 0 when the 3 resistor suddenly burns out, resulting in an open circuit. The current i(t) (in ampere) at t = 0+ is ______.
At t 0, the circuit is on steady state i.e. the capacitor is open circuited so the circuit will be
V3F V2 V3 V3 4V V2F V3 6V at t = 0+ when is open circuited, the capacitors will have an ideal voltage source of values 4V and 6V so the circuit will be 2A
So the current through 2 resistor at t = 0+ should be
GATE-2015-PAPER-03 z11 z12 for the two-port network shown in z 21 z 22
The z-parameter matrix
2 2 2 2
2 2 2 2
Since the given network is symmetric
Z12 Z21 Z11 Z21
9 3 6 9
3 6 2 3 6
We know V2 V1 Z21 2
Z11 So Z21
9 3 6 9
and reciprocal Z11 Z22
Z12 2 2 Z22 2 2
A continuous-time speech signal xa(t) is sampled at a rate of 8 kHz and the samples are subsequently grouped in blocks, each of size N. The DFT of each block is to be computed in real time using the radix2 decimation-in-frequency FFT algorithm. If the processor performs all operations sequentially, and takes 20 s for computing each complex multiplication (including multiplications by 1 and −1) and the time required for addition/subtraction is negligible, then the maximum value of N is _____
The direct form structure of an FIR (finite impulse response) filter is shown in the figure. The filter can be used to approximate a
H e j 5 1 e 2 j At 0, H e j 0 At ; H e j 0
Thus the filter is band pass filter 37.
The injected excess electron concentration profile in the base region of an npn BJT, biased in the active region, is linear, as shown in the figure. If the area of the emitter-base junction is 0.001 cm2,
n 800cm2 V s in the base region and depletion layer widths are negligible, then the collector
current Ic (in mA) at room temperature is __________.
(Given: thermal voltage VT = 26 mV at room temperature, electronic charge q 1.6 10 Key: Exp:
Figures I and II show two MOS capacitors of unit area. The capacitor in Figure I has insulator materials X (of thickness t1 = 1 nm and dielectric constant 1 4 ) and Y (of thickness t2 = 3 nm and dielectric constant 2 20 ). The capacitor in Figure II has only insulator material X of thickness tEq. If the capacitors are of equal capacitance, then the value of tEq (in nm) is ___________.
E1 E 2 . t1 t 2 E1E 2 4 20 CI 2.5 E1 E 2 E1t 2 E 2 t1 (4 2) (20 1) t1 t2
E1 4 2.5 t Eq 1.6nm t Eq t Eq
The I-V characteristics of the zener diodes D1 and D2 are shown in Figure I. These diodes are used in the circuit given in Figure II. If the supply voltage is varied from 0 to 100 V, then breakdown occurs in
In the circuit shown in the figure, transistor M1 is in saturation and has transconductance gm = 0.01 siemens. Ignoring internal parasitic capacitances and assuming the channel length modulation to be zero, the small signal input pole frequency (in kHz) is .
Cin 50PF 1 g m R 550PF g m 0.015 R 1k R 1k 1 g m R 11 R in 5k f in
1 57.9 kHz 2R in Cin
Following is the K-map of a Boolean function of five variables P, Q, R, S and X. The minimum sumof-product (SOP) expression for the function is
For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are 2 ns, 1.5 ns and 1 ns, respectively. If all the inputs P, Q, R, S and T are applied at the same time instant, the maximum propagation delay (in ns) of the circuit is .
(6) Case (i) When T = 0 Ttotal = delay of NOR + delay of 1st MUX + delay of 2nd MUX= 2+1.5+1.5 = 5ns Case (ii) When T = 1 Ttotal = delay of 1st NOT-gate + delay of 1st MUX + delay of 2nd NOR-gate + delay of 2nd MUX = 1+1.5+2+1.5 = 6 ns So, the maximum delay = 6 ns.
For the circuit shown in the figure, the delay of the bubbled NAND gate is 2 ns and that of the counter is assumed to be zero. If the clock (Clk) frequency is 1 GHz, then the counter behaves as a
(A) mod-5 counter
(B) mod-6 counter
(C) mod-7 counter
The time period of clock is 1nsec and that of nand gate is 2n sec.
If the nand gate would have 0 delay then the counter must be MOD 6 because on 6 th CP it will be rejected. But as the delay is 2nsec, the effect of 6th CP will be observed on reset in after 2nsec, but in this additional 2n.sec, 2 more clock cycle would passed in total 8 cycles are needed to rest the counter so MOD8 counter.
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as
The range of K for which the system is stable is (A) −2.0 < K < 0.5 Key:
(B) 0 < K < 0.5
(C) 0 K
(D) 0.5 K
1 2k 3 2k 4
From the table we can find characteristic equation s3 2ks2 2k 3 s 4 0
A second-order linear time-invariant system is described by the following state equations
d x1 t 2x1 t 3u t dt d x2 t x2 t u t dt where x1(t) and x2(t) are the two state variables and u(t) denotes the input. If the output c(t) = x1(t), then the system is (A) controllable but not observable (B) observable but not controllable (C) both controllable and observable (D) neither controllable nor observable Key:
Consider an air-filled rectangular waveguide with dimensions a = 2.286 cm and b = 1.016 cm. At 10 GHz operating frequency, the value of the propagation constant (per meter) of the corresponding propagating mode is _________.
Consider an air-filled rectangular waveguide with dimensions a = 2.286 cm and b = 1.016 cm. The increasing order of the cut-off frequencies for different modes is
(A) TE01 < TE10 < TE11 < TE20
(B) TE20 < TE11 < TE10 < TE01
(C) TE10 < TE20 < TE01 < TE11
(D) TE10 < TE11 < TE20 < TE01
C m n fc 2 a b C 1 C for TE 01 f c 98.4 2 2 1.016 10 2 for TE10 fc
C 1 C 43.74 2 2 2.286 10 2
C 2 C 2 C fc 87.49 2 2 2.286 10 2
For TE11 f c 107.7 For TE20
TE10 < TE20 < TE01 < TE11 54.
A radar operating at 5 GHz uses a common antenna for transmission and reception. The antenna has a gain of 150 and is aligned for maximum directional radiation and reception to a target 1 km away having radar cross-section of 3 m2. If it transmits 100 kW, then the received power in W is
Consider the charge profile shown in the figure. The resultant potential distribution is best described by