What Does “Looksfam” Mean in Jargon?

In the context of academic and professional exams, “Looksfam” is a term derived from “looks familiar.” It refers to a study technique where students recognize and solve problems based on their familiarity with similar questions encountered in the past1. This method leverages pattern recognition to quickly identify the type of problem and recall the solution approach.

While “Looksfam” can be an effective way to enhance problem-solving speed and accuracy, it is important to use it wisely. Relying solely on this method without understanding the underlying concepts can lead to superficial learning. Therefore, it is best used in conjunction with other study techniques to ensure a deep and comprehensive understanding of the subject matter1.

Looksfam App for Board Exam Preparation

Engineering Mathematics

Which of the following is NOT a solution to the differential equation dy/dx = 2xy?
y = x^2 + y^2
y = Ce^(x^2) (where C is an arbitrary constant)
y = e^(x^2)
y = 0
Show Solution
Question:
Which of the following is NOT a solution to the differential equation dy/dx = 2xy?
Answer:

y = x^2 + y^2

Find a particular solution of the differential equation: y'' + 3y' + 2y = x/(1 + e^x).
yp = -(1/2)xe^(-x) - (1/2)e^(-x)ln(1 + e^x) + (1/2)xln(1 + e^x) + (1/2)∫ ln(1 + e^x) dx
yp = -(1/2)xe^(-x) + (1/2)e^(-x)ln(1 + e^x) - (1/2)xln(1 + e^x) + (1/2)∫ ln(1 + e^x) dx
yp = (1/2)xe^(-x) - (1/2)e^(-x)ln(1 + e^x) + (1/2)xln(1 + e^x) - (1/2)∫ ln(1 + e^x) dx
yp = (1/2)xe^(-x) + (1/2)e^(-x)ln(1 + e^x) - (1/2)xln(1 + e^x) - (1/2)∫ ln(1 + e^x) dx
Show Solution
Question:
Find a particular solution of the differential equation: y'' + 3y' + 2y = x/(1 + e^x).
Answer:

yp = (1/2)xe^(-x) - (1/2)e^(-x)ln(1 + e^x) + (1/2)xln(1 + e^x) - (1/2)∫ ln(1 + e^x) dx

Find the volume of the solid that lies within both the cylinder x^2 + y^2 = 1 and the sphere x^2 + y^2 + z^2 = 4.
(16Ï€/3)(8 - 3sqrt(3))
(4Ï€/3)(8 - 3sqrt(3))
(8Ï€/3)(8 - 3sqrt(3))
(32Ï€/3)(8 - 3sqrt(3))
Show Solution
Question:
Find the volume of the solid that lies within both the cylinder x^2 + y^2 = 1 and the sphere x^2 + y^2 + z^2 = 4.
Answer:

(8Ï€/3)(8 - 3sqrt(3))

Explanation:

V=2∫∫_D √(4-x²-y²)dA. Polar: 2∫₀²π∫₀¹ √(4-r²) r dr dθ = 4π * [-(1/3)(4-r²)^(3/2)]₀¹ = (4π/3)(8 - 3√3)

If A = (x^2 + y^2)i - (2xy)j and φ = x^2 - y^2, find ∇ • (φA) at the point (2, 1).
-5
5
-10
10
Show Solution
Question:
If A = (x^2 + y^2)i - (2xy)j and φ = x^2 - y^2, find ∇ • (φA) at the point (2, 1).
Answer:

-10

Which of the following is a challenge specific to analyzing longitudinal data?
Autocorrelation between repeated measures
All of the above
Changes in measurement instruments over time
Attrition (loss of participants over time)
Show Solution
Question:
Which of the following is a challenge specific to analyzing longitudinal data?
Answer:

All of the above

Given the vector field F = (x^2)i + (y^2)j + (z^2)k, find the line integral ∫_C F • dr, where C is the curve parameterized by r(t) = (t)i + (t^2)j + (t^3)k, 0 ≤ t ≤ 1.
11/15
14/15
8/15
1
Show Solution
Question:
Given the vector field F = (x^2)i + (y^2)j + (z^2)k, find the line integral ∫_C F • dr, where C is the curve parameterized by r(t) = (t)i + (t^2)j + (t^3)k, 0 ≤ t ≤ 1.
Answer:

11/15

Which of the following methods is NOT an iterative method for solving systems of linear equations?
Gauss-Seidel method
Successive over-relaxation (SOR) method
Jacobi method
Gaussian elimination
Show Solution
Question:
Which of the following methods is NOT an iterative method for solving systems of linear equations?
Answer:

Gaussian elimination

Which of the following methods is commonly used to solve linear programming problems?
Both A and B
Simplex method
Interior-point method
Neither A nor B
Show Solution
Question:
Which of the following methods is commonly used to solve linear programming problems?
Answer:

Both A and B

What is the purpose of using a permutation test?
To reduce the computational complexity of the test.
To increase the power of the test.
To test hypotheses without making assumptions about the underlying distribution of the data.
To handle missing data.
Show Solution
Question:
What is the purpose of using a permutation test?
Answer:

To test hypotheses without making assumptions about the underlying distribution of the data.

For what value of λ are the vectors A = i + j + k and B = λi - j + 2k parallel?
2
1
No such value exists
-1
Show Solution
Question:
For what value of λ are the vectors A = i + j + k and B = λi - j + 2k parallel?
Answer:

No such value exists

Which of the following statements is TRUE about Stokes' theorem?
It is a generalization of Green's theorem to three dimensions.
All of the above.
It relates the flux of a vector field through a surface to the circulation of the field around the boundary of the surface.
It can be used to calculate the work done by a force field along a closed path.
Show Solution
Question:
Which of the following statements is TRUE about Stokes' theorem?
Answer:

All of the above.

The base of a tetrahedron is a triangle whose sides are 10, 24, and 26 units. The altitude of the tetrahedron is 20 units. Find the area of a cross-section whose distance from the base is 15 units.
5.5 sq units
4.5 sq units
6.5 sq units
7.5 sq units
Show Solution
Question:
The base of a tetrahedron is a triangle whose sides are 10, 24, and 26 units. The altitude of the tetrahedron is 20 units. Find the area of a cross-section whose distance from the base is 15 units.
Answer:

7.5 sq units

Explanation:

Sound that vibrates at frequency too high for the human ear to hear (over 20 kHz).
Transonic
Ultrasonic
Subsonic
Stereo
Show Solution
Question:
Sound that vibrates at frequency too high for the human ear to hear (over 20 kHz).
Answer:

Ultrasonic

What is the error term in the composite trapezoidal rule for numerical integration?
O(h^4)
O(h^2)
O(h^3)
O(h)
Show Solution
Question:
What is the error term in the composite trapezoidal rule for numerical integration?
Answer:

O(h^2)

Find the directional derivative of f(x, y, z) = x^2yz + 4xz^2 at the point (1, -2, -1) in the direction of the vector A = 2i - j - 2k.
14/3
10/3
-10/3
-14/3
Show Solution
Question:
Find the directional derivative of f(x, y, z) = x^2yz + 4xz^2 at the point (1, -2, -1) in the direction of the vector A = 2i - j - 2k.
Answer:

-10/3

A couple plans to have 7 children. Find the probability of having at least one girl.
0.9922
0.8822
0.6622
0.7722
Show Solution
Question:
A couple plans to have 7 children. Find the probability of having at least one girl.
Answer:

0.9922

Explanation:

This is a problem of the complement probability. The probability of having at least one girl is equal to 1 minus the probability of having all boys. The probability of having all boys (no girls) in 7 children is (1/2)^7 = 1/128. Therefore, the probability of having at least one girl is 1 - 1/128 = 127/128 ≈ 0.9922.

What is the purpose of using a regression diagnostic plot?
All of the above.
To identify outliers and influential points.
To evaluate the goodness of fit of the model.
To visually assess the assumptions of the regression model.
Show Solution
Question:
What is the purpose of using a regression diagnostic plot?
Answer:

All of the above.

What is the purpose of using randomization in experimental design?
All of the above.
To ensure that the experimental units are representative of the population.
To increase the precision of the estimates.
To prevent bias due to unknown or uncontrolled factors.
Show Solution
Question:
What is the purpose of using randomization in experimental design?
Answer:

All of the above.

What is the central limit theorem?
Both A and B.
The mean of a large number of independent and identically distributed random variables is approximately normally distributed.
The sum of a large number of independent and identically distributed random variables is approximately normally distributed.
Neither A nor B.
Show Solution
Question:
What is the central limit theorem?
Answer:

Both A and B.

Which of the following is NOT a factor that affects the rise time of a second-order system's step response?
The damping ratio
The type of input signal
The DC gain of the system
The natural frequency
Show Solution
Question:
Which of the following is NOT a factor that affects the rise time of a second-order system's step response?
Answer:

The DC gain of the system

A system has the transfer function G(s) = 10 / (s^2 + 4s + 13). What is the damping ratio of this system?
2.5
0.4
13
0.6
Show Solution
Question:
A system has the transfer function G(s) = 10 / (s^2 + 4s + 13). What is the damping ratio of this system?
Answer:

0.4

If z is a complex number such that z^2 + z + 1 = 0, find the value of z^10 + z^5 + 1.
0
2
3
1
Show Solution
Question:
If z is a complex number such that z^2 + z + 1 = 0, find the value of z^10 + z^5 + 1.
Answer:

0

What is the physical interpretation of the curl of a velocity field?
It represents the angular velocity of the fluid at a point.
It measures the rate of change of the fluid density.
It is related to the pressure gradient in the fluid.
It indicates the direction of the net force acting on a fluid element.
Show Solution
Question:
What is the physical interpretation of the curl of a velocity field?
Answer:

It represents the angular velocity of the fluid at a point.

Which circuit contributes most of the noise in a receiver?
Demodulator
AF amplifier
Mixer
IF amplifier
Show Solution
Question:
Which circuit contributes most of the noise in a receiver?
Answer:

Mixer

The Laplace transform of the function f(t) = t * sin(at) is:
as / (s^2 + a^2)^2
2a / (s^2 + a^2)^2
a / (s^2 + a^2)^2
2as / (s^2 + a^2)^2
Show Solution
Question:
The Laplace transform of the function f(t) = t * sin(at) is:
Answer:

2as / (s^2 + a^2)^2

Evaluate the triple integral ∫∫∫E (x) dV, where E is the solid bounded by the paraboloid z = 4 - x^2 - y^2 and the plane z = 0.
8Ï€
32Ï€
64Ï€
16Ï€
Show Solution
Question:
Evaluate the triple integral ∫∫∫E (x) dV, where E is the solid bounded by the paraboloid z = 4 - x^2 - y^2 and the plane z = 0.
Answer:

8Ï€

Explanation:

Cylindrical: ∫₀²π∫₀²∫₀^(4-r²) (r cosθ) r dz dr dθ. ∫₀²π cosθ dθ=0. So integral=0.

Which of the following is NOT a common approach for solving non-linear PDEs?
Method of characteristics
Numerical methods
Transform methods
Perturbation methods
Show Solution
Question:
Which of the following is NOT a common approach for solving non-linear PDEs?
Answer:

Method of characteristics

Solve the differential equation: dy/dx = (x^2 + y^2) / (2xy), y(1) = 1.
y = x * sqrt(ln(x) - 1)
y = x / sqrt(ln(x) + 1)
y = x * sqrt(ln(x) + 1)
y = x / sqrt(ln(x) - 1)
Show Solution
Question:
Solve the differential equation: dy/dx = (x^2 + y^2) / (2xy), y(1) = 1.
Answer:

y = x * sqrt(ln(x) + 1)

Determine the eigenvalues of the matrix associated with the following system of linear equations: 2x + 3y = 5; x - 4y = -3
-5 and -2
5 and -2
-5 and 2
5 and 2
Show Solution
Question:
Determine the eigenvalues of the matrix associated with the following system of linear equations: 2x + 3y = 5; x - 4y = -3
Answer:

5 and -2

Find the volume of the solid bounded by the cylinder x^2 + y^2 = 4 and the planes z = 0 and y + z = 3.
24Ï€
36Ï€
12Ï€
48Ï€
Show Solution
Question:
Find the volume of the solid bounded by the cylinder x^2 + y^2 = 4 and the planes z = 0 and y + z = 3.
Answer:

12Ï€

Explanation:

V=∫∫_D (3-y)dA. D: x²+y²≤4. Use polar. V=∫₀²π∫₀² (3-r sinθ) r dr dθ = 12π

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1: Topnotcher’s Take on Looksfam 2: Looksfam – Board Exam Tool

Using LOOKSFAM for Electronics Engineering Review

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