Math Conceptual Pre and Post Test + Mock 1, Mock 2, Mock 3, and Mock 4

1. A scatter plot is used to:

A. Display the distribution of a single variable.

B. Perform hypothesis testing.

C. Display the relationship between two continuous variables.

D. Identify outliers in a dataset.

C. Display the relationship between two continuous variables

2. The median and standard deviation of a distribution are 50 and 5 respectively. If each item is increased by 4, what will happen to the median and standard deviation?

A. Both will remain same

B. Median will go up by 2 but S.D. will remain same

C. Median will increase and S.D. will increase

D. Median will increase and S.D. will decrease

B. Median will go up by 2 but S.D. will remain same

3. Which of the following quantities remains constant throughout the projectile motion?

A. Displacement

B. Acceleration

C. Time

D. Velocity

B. Acceleration

4. If an object undergoes uniformly accelerated motion and its acceleration is negative, what can be said about its motion?

A. It is undergoing circular motion.

B. It is decelerating or slowing down.

C. It is moving with a constant velocity.

D. It is moving in the positive direction.

B. It is decelerating or slowing down.

5. During uniformly accelerated motion, if the velocity is constant, then the acceleration is:

A. Undefined

B. Zero

C. Positive

D. Negative

B. Zero

6. In uniformly accelerated motion, which of the following is directly proportional to the time taken?

A. Velocity

B. Displacement

C. Acceleration

D. None of the above

A. Velocity

7. A ball is thrown straight up into the air. Ignore air resistance. While the ball is in the air its acceleration:

A. Remains constant.

B. Is zero.

C. Increases.

D. Decreases on the way up and increases on the way down.

A. Remains constant.

8. When a force is applied at an angle to the direction of motion, the work done is:

A. Zero

B. Minimum

C. Maximum

D. Independent of the angle

A. Zero

9. When the impulse acting on an object is zero, it means that:

A. The object has constant velocity

B. The force acting on the object is zero

C. The object is accelerating

D. The object is at rest

A. The object has constant velocity

10. Which of the following is NOT a type of probability distribution commonly used in engineering data analysis?

A. Exponential distribution

B. Poisson distribution

C. Normal distribution

D. Random distribution

D. Random distribution

11. At the highest point of projectile motion, the vertical component of velocity:

A. Is at its maximum.

B. Depends on the angle of projection.

C. Is the same as the horizontal component of velocity.

D. Is zero.

D. Is zero.

12. Which of the following is a measure of correlation for categorical variables?

A. Coefficient of determination

B. Spearman's rank correlation coefficient

C. Chi-square test statistic

D. Pearson correlation coefficient

C. Chi-square test statistic

13. In projectile motion, the time of flight is determined by:

A. The acceleration due to gravity.

B. The angle of projection.

C. The horizontal component of velocity.

D. The vertical component of velocity.

D. The vertical component of velocity

14. A quadrilateral with ONLY two parallel sides is a?

A. Rhombus

B. Trapezoid

C. Rectangle

D. Trapezium

B. Trapezoid

15. The maximum height attained by a projectile is directly proportional to:

A. The range of the projectile.

B. The angle of projection.

C. The square of the initial velocity.

D. The time of flight.

C. The square of the initial velocity.

16. The magnitude of impulse experienced by an object is equal to the:

A. Average velocity of the object

B. Change in momentum of the object

C. Initial momentum of the object

D. Final momentum of the object

B. Change in momentum of the object

17. Which of the following quantities remains constant during uniformly accelerated motion?

A. Acceleration

B. Velocity

C. Time

D. Displacement

A. Acceleration

18. The purpose of hypothesis testing is to:

A. Test a claim or hypothesis about a population parameter.

B. Identify outliers in a dataset.

C. Make predictions about future data.

D. Determine the strength of a correlation.

A. Test a claim or hypothesis about a population parameter.

19. Work is defined as the product of:

A. Force and displacement

B. Mass and acceleration

C. Force and time

D. Velocity and time

A. Force and displacement

20. Which of the following statements is true regarding impulse?

A. Impulse is always positive

B. Impulse can be positive, negative, or zero

C. Impulse is always negative

D. Impulse is unrelated to the velocity of the object

B. Impulse can be positive, negative, or zero or C. Impulse is always negative

21. A projectile is launched at an angle of 45 degrees with the horizontal. The time taken to reach the maximum height is:

A. Half the total time of flight.

B. The same as the time taken to reach the ground.

C. Not affected by the angle of projection.

D. Depends on the initial velocity.

A. Half the total time of flight.

22. The duration of an impulse is typically shorter when:

A. The force acting is stronger

B. The mass of the object is larger

C. The mass of the object is smaller

D. The force acting is weaker

A. The force acting is stronger

23. The range of a projectile depends on:

A. The shape of the projectile.

B. The mass of the projectile.

C. The angle of projection and the initial velocity.

D. The acceleration due to gravity.

C. The angle of projection and the initial velocity.

24. Which of the following is an example of increasing impulse on an object?

A. Catching a fast-moving ball with a soft glove

B. Kicking a soccer ball with less force

C. Slowing down a moving car gradually

D. Bouncing a basketball off the ground

D. Bouncing a basketball off the ground

25. If the acceleration of an object is 0 m/s², what can be said about its motion?

A. It is moving in the positive direction.

B. It is at rest or stationary.

C. It is undergoing circular motion.

D. It is moving with a constant velocity

A. It is moving in the positive direction.

26. In regression analysis, the dependent variable is also known as the:

A. Explanatory variable

B. Response variable

C. Covariate

D. Predictor variable

B. Response variable

27. What is the purpose of confidence intervals in engineering data analysis?

A. To estimate population parameters with a certain level of confidence.

B. To determine the strength of a correlation.

C. To identify outliers in a dataset.

D. To test the significance of a regression coefficient.

A. To estimate population parameters with a certain level of confidence.

28. If an event can occur in m different ways, following which another event can occur in n different ways, then the total numbers of occurrence of the events in the given order is ______.

A. m − n

B. m + n

C. m/n

D. m × n

D. m*n

29. Which of the following is an example of negative work?

A. Lifting a heavy box off the ground

B. Lowering a weight down from a height

C. Walking up a flight of stairs

D. Sliding a book across a table

B. Lowering a weight down from a height

30. A control chart is used to:

A. Monitor a process over time for statistical control.

B. Determine the best-fit line in regression analysis.

C. Calculate the probability of an event occurring.

D. Estimate population parameters from a sample.

A. Monitor a process over time for statistical control.

31. Which of the following statements best describes projectile motion?

A. Motion of an object in a straight line with constant speed.

B. Motion of an object launched into the air with an initial velocity and subject to gravity.

C. Motion of an object under the influence of gravity only.

D. Motion of an object moving in a circular path.

B. Motion of an object launched into the air with an initial velocity and subject to gravity:

32. What does a p-value represent in hypothesis testing?

A. The probability of making a Type II error.

B. The probability of making a Type I error.

C. The strength of the relationship between variables.

D. The level of significance for the test.

B. The probability of making a Type I error.

33. What is the purpose of confidence intervals in engineering data analysis?

A. To estimate population parameters with a certain level of confidence

B. To determine the strength of a correlation.

C. To identify outliers in a dataset.

D. To test the significance of a regression coefficient.

A. To estimate population parameters with a certain level of confidence

34. In uniformly accelerated motion, the velocity-time graph appears as a:

Straight Line

35. In engineering data analysis, the term "outlier" refers to:

A. Data points that are exactly equal to the mean.

B. Data points that are extremely low in value.

C. Data points that are significantly different from the majority of the data.

D. Data points that are missing from the dataset.

C. Data points that are significantly different from the majority of the data.

36. A shape with 4 equal sides and one 90 deg angle is a?

A. Square

B. Trapezoid

C. Parallelogram

D. Rhombus

A. Square

37. The method of least squares is used to:

A. Conduct analysis of variance (ANOVA) tests.

B. Minimize the sum of squared residuals in regression analysis.

C. Calculate the confidence interval for a population mean.

D. Determine the sample size needed for a hypothesis test.

B. Minimize the sum of squared residuals in regression analysis.

38. Impulse can be calculated by integrating the:

A. Acceleration with respect to time

B. Force with respect to displacement

C. Velocity with respect to time

D. Force with respect to time

D. Force with respect to time

39. The differential equation dy/dx = y² is a:

A. Nonlinear differential equation

B. First-order differential equation

C. Linear differential equation

D. Second-order differential equation

A. Nonlinear differential equation

40. If an object undergoes uniformly accelerated motion, what can be said about its acceleration?

A. It varies randomly

B. It is constant

C. It is decreasing

D. It is increasing

B. It is constant

41. If slope of a line is negative then its inclination is ___________.

A. Right angle

B. Acute angle

C. Reflex angle

D. Obtuse angle

D. Obtuse angle

42. What is the value of tan 90 deg?

A. Undefined

B. 111

C. 0

D. None Of The Above

A. Undefined

43. If the work done on an object is zero, then:

A. The object is not moving

B. The net force on the object is zero

C. The object is at rest

D. The object is moving at a constant velocity

D. The object is moving at a constant velocity

44. Event _____________ contains elements which are either in A or in B or in both.

A. B but not A

B. A and B

C. A but not B

D. A or B

D. A or B

A Type II error occurs when:

A The null hypothesis is accepted when it is actually false.

B The alternative hypothesis is rejected when it is actually true.

C The null hypothesis is rejected when it is actually true.

D The alternative hypothesis is accepted when it is actually false.

A The null hypothesis is accepted when it is actually false.

Which of the following statements is true regarding work?

A Work is always positive

B Work is unrelated to the direction of the applied force

C Work can be positive, negative, or zero

D Work is always negative

C Work can be positive, negative, or zero

Which of the following is NOT a measure of data skewness?

A Mode

B Kurtosis

C Skewness coefficient

D Skewness ratio

A Mode

The coefficient of variation is a measure of:

A Dispersion

B Central tendency

C Correlation

D Skewness

A Dispersion

In a hypothesis test, the null hypothesis represents:

A The hypothesis that is assumed to be true.

B The hypothesis that is rejected if the p-value is small.

C The hypothesis with the highest probability of being true.

D The alternative hypothesis

A The hypothesis that is assumed to be true.