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General Questions Set 15:

Quiz Mode

Which of the following is a scalar quantity?

Torque

Time

Velocity

Speed

Solution:

In the Taylor series expansion of e^x about x=4, the coefficient of (x-4)⁴ is

1/4!

(2^4)/4!

(e^2)/4!

(e^4)/4!

Solution:

The order and degree of the differential equation y'''(x) + 4 √((y')^2 + (y)^5) = 0

1 and 2

1 and 5

3 and 2

3 and 1

Solution:

The solution of the differential equation y'(x) = ay, y(0) = c is

y = c e^(a x)

y = c e^(-a x)

x = c e^(-a y)

x = a e^(c y)

Solution:

For all second-degree polynomials with the equation y = ax^2 + bx + k, the Rolle's point is at x = 0. Also, the value of k is 0. What is the value of b?

-2

Solution:

Shaun was given an 8x8 chess board by his teacher and asked to find the number of rectangles and squares on the board. Can you please help him?

1086

1080

2048

1092

Solution:

Given the HCF (Highest Common Factor) and LCM (Least Common Multiple) of two numbers, it is possible to find the two numbers uniquely if:

1. and 2. only

2. only

2. and 3. only

1., 2. and 3.

Solution:

Ten cards numbered 1 to 10 are placed in a box, then one card is drawn randomly. If the number on the drawn card is more than 3, what is the probability that it is an even number?

3/7

2/5

1/2

4/7

Solution:

Consider the points closest to the origin on the planes x + y + z = a.

The closest point travels farther as a is increased

The closest point travels nearer as a is increased

The closest point is independent of a as a is not there in the expression of the gradient

Varies as a^2, away from the origin

Solution:

Let X = (x_ij) be an n-rowed square matrix and I₁₂ be the matrix obtained by interchanging the first and second rows of the n-rowed identity matrix. Then, the first column of XI₁₂ is the same as the second column of X.

The first row of XI₁₂ is all zeros

The first column of XI₁₂ is the same as the second column of X

The first row of XI₁₂ is the same as the second row of X

The first row of XI₁₂ is the same as its second row

Solution:

Related Topics:

Calculus Questions Set 1

Permutations-and-combinations Questions Set 1

Differential-equations Questions Set 1

Probability-and-statistics Questions Set 1

Linear-algebra Questions Set 1

Numerical-methods Questions Set 1

Complex-variables Questions Set 1

Set-theory Questions Set 1

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General Questions Set 15:

Which of the following is a scalar quantity?

Solution:

In the Taylor series expansion of ex about x=4, the coefficient of (x-4)4 is

Solution:

The order and degree of the differential equation y'''(x) + 4 √((y')^2 + (y)^5) = 0

Solution:

The solution of the differential equation y'(x) = ay, y(0) = c is

Solution:

For all second-degree polynomials with the equation y = ax^2 + bx + k, the Rolle's point is at x = 0. Also, the value of k is 0. What is the value of b?

Solution:

Shaun was given an 8x8 chess board by his teacher and asked to find the number of rectangles and squares on the board. Can you please help him?

Solution:

Given the HCF (Highest Common Factor) and LCM (Least Common Multiple) of two numbers, it is possible to find the two numbers uniquely if:

Solution:

Ten cards numbered 1 to 10 are placed in a box, then one card is drawn randomly. If the number on the drawn card is more than 3, what is the probability that it is an even number?

Solution:

Consider the points closest to the origin on the planes x + y + z = a.

Solution:

Let X = (xij) be an n-rowed square matrix and I12 be the matrix obtained by interchanging the first and second rows of the n-rowed identity matrix. Then, the first column of XI12 is the same as the second column of X.

Solution:

Related Question Sets:

Related Topics:

In the Taylor series expansion of e^x about x=4, the coefficient of (x-4)⁴ is

Let X = (x_ij) be an n-rowed square matrix and I₁₂ be the matrix obtained by interchanging the first and second rows of the n-rowed identity matrix. Then, the first column of XI₁₂ is the same as the second column of X.