Choose the word most similar in meaning to the given word:

Educe

Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:

Frogs _______.

Choose the most appropriate word from the options given below to complete the following sentence.

The principal presented the chief guest with a _______ as token of appreciation.

If log ^{$x(\frac{5}{7}) = - \frac{1}{3}$}, then the value of x is

Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A person sitting on the wall falls if the wall breaks. Which one of the statements below is logically valid and can be inferred from the above sentences?

The following question presents a sentence, part of which is underlined. Beneath the sentence you will find four ways of phrasing the underlined part. Following the requirements of the standard written English, select the answer that produces the most effective sentence. Tuberculosis, together with its effects, ranks one of the leading causes of death in India.

Read the following paragraph and choose the correct statement:

Climate change has reduced human security and threatened human well being. An ignored reality of human progress is that human security largely depends upon environmental security. But on the contrary, human progress seems contradictory to environmental security. To keep up both at the required level is a challenge to be addressed by one and all. One of the ways to curb the climate change may be suitable scientific innovations, while the other may be the Gandhian perspective on small scale progress with focus on sustainability.

A region of negative differential resistance is observed in the current voltage characteristics of a silicon PN junction if

A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible to that of those which are NOT visible.

Operators ^$\square$,^$\diamond$ and _{^{$\rightarrow$}} are defined by: a ^$\square$ b = ^{$\frac{a - b}{a + b}$}; a ^$\diamond$ b = ^{$\frac{a + b}{a - b}$}; a _{^{$\rightarrow$}} b = ab. Find the value of (66 ^$\square$ 6) ^{$\rightarrow$} (66 ^$\diamond$ 6).

In the given circuit, the values of V₁ and V₂ respectively are

The polar plot of the transfer function G(s) = ^{$\frac{10(s+1)}{s + 10}$} for _{^{$\leq \omega < \infty$}} will be in the

Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which of the following statements is NOT TRUE?

For the circuit with ideal diodes shown in the figure, the shape of the output (V_out) for the given sine wave input (V_in) will be

In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit are

Negative feedback in a closed-loop control system does not

A function f(x) = 1 - x² + x³ is defined in the closed interval [-1, 1]. The value of x in the open interval (-1, 1) for which the mean value theorem is satisfied, is

The result of the convolution x(-t) ^{$\star$_$\delta$}(- t - t₀ ) is

A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size ^$\triangle$ of the delta modulator are 20,000 samples per second and 0.1V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is

Consider the signal s(t) = m(t)cos (2^$\pi$ f_c t) +^$\hat{m}$ (t) (2^$\pi$f_c t), where ^$\hat{m}$ (t) denotes the Hilbert transform of m(t) and the bandwidth of m(t) is very small compared to f_c. The signal s(t) is a

For the discrete-time system shown in the figure, the poles of the system transfer function are located at

Consider a straight, infinitely long, current carrying conductor lying on the z-axis. Which of the following plots (in linear scale) qualitatively represents the dependence of ^{_{$H_{\phi}$}} on r , where _{^$H_{\phi}$} is the magnitude of the azimuthal component of magnetic field outside the conductor and r is the radial distance from the conductor?

A source emits bit 0 with probability 1/3 and bit 1 with probability 2/3. The emitted bits are communicated to the receiver. The receiver decides for either 0 or 1 based on the received value R. It is given that the conditional density functions of R are

f_R/0 (r) = and f_R/1 (r) =

The minimum decision error probability is

For the NMOSFET in the circuit shown, the threshold voltage is V_th, where V_th > 0. The source voltage V_ss is varied from 0 to V_DD. Neglecting the channel length modulation, the drain current I_D as a function of V_ss is represented by

The circuit shown in the figure has an ideal op amp. The oscillation frequency and the condition to sustain the oscillations, respectively, are

The damping ratio of a series RLC circuit can be expressed as

A plant transfer function is given as G(s) = ^{$\bigg(k_p + \frac{K_i}{s} \bigg) \frac{1}{s(s+2)}$}. When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is

A 3-input majority gate is defined by the logic function M(a, b, c) = ab + bc + ca. Which of the following gates is represented by the function ^{$M(\overline{M(a, b, c)}, M(a, b, \bar{c}),c)$}?

A vector ^{$\overrightarrow{P}$} is given by ^{$\overrightarrow{P}$} =^{$x^3 y^2 \overrightarrow{a}_z$}. Which of the following statements is TRUE?

The solution of the differential equation ^{$\frac{d^2 y}{dt^2} + 2 \frac{dy}{dt} + y = 0$} with y(0) = y’ (0) = 1 is

Which of the following graphs describes the function f (x) = e^-x (x² + x + 1)?

The pole-zero diagram of a causal and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity 4. The impulse response of the system is h[n]. If h[0] = 1, we can conclude that

The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the following expression:

H_z (x, y, z, t) = 0.1 cos (25^_$\pi$x) cos (30.3^_$\pi$y) ^_x cos (12^{_{$\pi$ x}} 10⁹t - ^_$\beta$z)(A/m)

The cross-sectional dimensions of the waveguide are given as a = 0.08 m and b = 0.033 m. The mode of propagation inside the waveguide is

Two sequences [a, b, c] and [A, B, C] are related as:

where ^{$W_3 = e^{j\frac{2 \pi}{3}}$}

If another sequence [p, q, r ] is derived as:

Then, the relationship between the sequences [p, q, r ] and [a, b, c] is

The Boolean expression F(X, Y, Z) = ^{$\bar{X}Y \bar{Z} + X\bar{Y}\bar{Z} + XY\bar{Z} + XYZ$} converted into the canonical product of sum (POS) form is

Suppose A and B are two independent events with probabilities P(A) ^_$\neq$ 0 and P(B) ^_$\neq$ 0. Let ^$\bar{A}$ and ^$\bar{B}$ be their complements. Which of the following statements is FALSE?