List of practice Questions

An oil well is drilled using an 8.5-inch drill bit at a penetration rate of 30 ft/hr. The rotary speed is 20 rpm and the weight on the bit is 3500 lb. The value of the ‘d’ exponent for the drilled section is ________________ (rounded off to two decimal places).

A vertical wellbore is drilled with a 12.25-inch drill bit. While drilling, the bit could drill a total rock volume of 385 ft\(^3\) in 6.5 hr. After drilling, the hole diameter throughout the depth is found to be 12.49 inch. The average rate of penetration is ____________ ft/hr (rounded off to two decimal places).

The logging tool(s) preferred for the measurement of formation resistivity in a well drilled with oil-based mud is/are:

Which of the following properties of Matrix \(A = \begin{bmatrix} 1 & 0.5 & 0 \\ 0.5 & 1 & 0.5 \\ 0 & 0.5 & 1 \end{bmatrix}\) are CORRECT?

Simpson’s one-third rule will give the exact value of the integral \[ I=\int_a^b \left[ b_0 + b_1 x + b_2 x^2 + \cdots + b_n x^n \right] dx \] (where \(a, b, b_0, b_1, b_2, \ldots, b_n\) are numeric constants), if the values of \(n\) are:

Which of the following are NOT CORRECT during the operating cycle of a ‘sucker rod pump’?

‘Cupola’ offshore storage tank is an example of:

The liquid shrinkage curves for different types of crude oil are shown in the following figure.

Which curve represents the Black Oil?

The dynamic mud inflow rate and mud outflow rate profiles are shown in the following figure. Identify the ``Hole ballooning’’ and the ``Lost circulation’’ phenomena.

The value of \[ \lim_{x \to 0} \left[ \frac{1}{x} \ln(1+x) \right] \] is:

The following second order ordinary differential equation has the boundary conditions: \[ y(0) = 0, \quad y(1) = 1 \] The type of the above boundary conditions is:

Let \( \vec{F}(x,y) = e^x \sin x\, \hat{i + x\, \hat{j} \) for \((x,y)\in \mathbb{R}^2\). If \(C\) is the circle \(x^2 + y^2 = 4\) oriented anticlockwise, then \[ \oint_C \vec{F} \cdot d\vec{R} \] equals:}

The general equation for the production rate decline can be expressed as \[ \frac{1}{q} \frac{dq}{dt} = -bq^d \] where, b and d are empirical constants, and q is the production rate.
Match the value of \(d\) (Group 1) with the appropriate decline curves (Group 2).

The production optimization is evaluated on the basis of discounted revenue to be generated by the projects. The net present value (NPV) for calculating the discounted revenue is defined by
\[ NPV = NPV_R - \text{cost} \] where, \(NPV_R\) = present value of cash flow discounted at a given rate \(i\).
If \(\Delta R_n\) is the annual incremental revenue after optimization for the \(n^{th}\) year, and \(m\) is the remaining life of the project at the end of \(n^{th}\) year, then which ONE of the following options for \(NPV_R\) is CORRECT?

The formation volume factors of oil and water are \(B_o\) and \(B_w\), respectively. The CORRECT relationship between the fractional water cut at the surface condition \(f_{ws}\) and the fractional water cut at the reservoir condition \(f_w\) is:

Which ONE of the following is used to support the packer against the casing while expanding the rubber sealing element?

Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear “lost”, it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets that had a key and money are more likely to be returned than wallets with the same amount of money alone. This suggests that the primary reason for this behavior is compassion and empathy.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus?

An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle?

Given below are three conclusions drawn based on the following three statements.
Statement 1: All teachers are professors.
Statement 2: No professor is a male.
Statement 3: Some males are engineers.
Conclusion I: No engineer is a professor.
Conclusion II: Some engineers are professors.
Conclusion III: No male is a teacher.
Which one of the following options can be logically inferred?

In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day?