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Gnireenigne lacimehc > EPB (Day 3) > Flashcards

EPB (Day 3) Flashcards

1
Q

A stone is attached to a short-stringed balloon. They flew together directly upwards until 30 meters from the ground, the string was cut, leaving the balloon rise at a rate of 3 m/s while the stone falls to the ground. What is the distance (m) of the balloon from the ground when the stone falls to the ground?
A. 2.47
B. 7.41
C. 32.47
D. 37.41

A

D. 37.41

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1
Q

A 5’7” person walks at a rate of 2 meters/minute towards a streetlight that is 10m above the ground. At what rate (m/min) is the tip of his shadow moving, and at what rate (m/min) is the length of the shadow changing?
A. 0.41, 2.41
B. 3.05, 1.05
C. 1.29, 3.86
D. 1.05, 3.05

A

A. 0.41, 2.41

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2
Q
A
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3
Q

A phone number is composed of 9 digits. The first two are the area code the other 7 are the local telephone number which cannot begin with a 0. How many different telephone numbers are possible in a single area code?
A. 9,000,000
B. 10,000,000
C. 90,000,000
D. 100,000,000

A

A. 9,000,000

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4
Q

The number of permutations of the letters A, B, C and D such that B does not follow A and C does not follow B and D does not follow C is:
A. 11
B. 42
C. 42
D. 26

A

A. 11

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5
Q

Approximately 30% of all pipework failures in chemical plants are caused by operator error. What is the probability that no more than 4 out of 20 such failures are due to operator error?
A. 0.209
B. 0.366
C. 0.548
D. 0.237

A

D. 0.237

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6
Q

Bag A contains 2 white and 3 black balls. Bag B contains 5 white and 4 black balls. One ball is drawn at random from Bag A and is placed unseen in Bag B. If the ball drawn from Bag A is white, find the probability that a black ball was transferred from Bag B into A.
A. 3/14
B. 15/31
C. 8/23
D. 39/77

A

C. 8/23

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7
Q

A consulting firm rents cars from three agencies, 20% from Agency D, 20% from Agency E, and 60% from Agency F. 10% of the cars from D, 12% of the cars from E, and 4% of the cars from F have bad tires. If the firm rented a car with a bad tire, what is the probability that it was from Agency F?
A. 0.35
B. 0.15
C. 0.24
D. 0.004

A

A. 0.35

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8
Q

A company is selling spare parts and claims that 3% of their parts have damaged plates, 4% have damaged terminals, and 5% have both damages. What percent of their spare parts is not damaged?
A. 97%
B. 96%
C. 95%
D. 94%

A

C. 95%

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9
Q

A cylindrical cup has a height of 3 inches and a radius of 2 inches. How many such cups may be completely filled from a full rectangular tank whose dimensions are 6 x 7 x 8 inches?
A. 8
B. 9
C. 12
D. 28

A

A. 8

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10
Q

If the edge of a cube is increased by 30%, what is the percentage increase in its surface area?
A. 130%
B. 69%
C. 65%
D. 60%

A

B. 69%

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11
Q

A project has an initial cost of Php 500,000 and an annual benefit of Php 140,000 with a useful life of 8 years. Determine the BC ratio of the project. (f = 8%, i = 12%)
A. 3.57
B. 2.98
C. 2.24
D. 1.61

A

D. 1.61

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12
Q

Blood plasma is stored at 40°F. Before the plasma can be used, it must be at 90°F. When the plasma is placed in an oven at 120°F, it takes 45 min for the plasma to warm to 90°F. How long will it take for the plasma to warm to 90°F if the oven temperature is set to 50°F?
A. 58 min
B. 67 min
C. 72 min
D. 82 min

A

D. 82 min

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13
Q

A car is moving east while speeding up. Which of the following is true?
A. V is east, a is east
B. V is west, a is west
C. V is west, a is east
D. V is east, a is west

A

A. V is east, a is east

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14
Q

It is the contact pressure between two objects in contact, usually perpendicular to the area of the resisting forces.
A. Bearing
B. Shear
C. Axial
D. Compressive

A

A. Bearing

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15
Q

It is a technique based on the chain rule that is used to find the derivative when the relationship between the variables is not expressed as one in terms of the others.
A. First Fundamental Theorem of Calculus
B. Second Fundamental Theorem of Calculus
C. Trigonometric Substitution
D. Implicit Differentiation

A

D. Implicit Differentiation

16
Q

To make predictions about populations using sample data while considering uncertainty and making inferences beyond the sample.
A. Descriptive Statistics
B. Regression analysis
C. Inferential Statistics
D. Variability analysis

A

C. Inferential Statistics

17
Q

These are additional inventories that protects the business against sudden demand surges and inaccurate market forecasts.
A. Lead Time
B. Safety Stock
C. Reorder Point
D. Economic Order Quantity

A

B. Safety Stock

18
Q

The compound (Z)-9-tetradecenyl acetate is used in the fragrance and flavor industry. What is the molecular formula of this compound?
A. C18H28O2
B. C16H30O2
C. C14H32O2
D. C12H34O2

A

B. C16H30O2

19
Q

Which of the following is a common household item which has a chemical formula of C6H4NO2Na?
A. Vanillin
B. Capsaicin
C. Aspartame
D. MSG

A

D. MSG

20
Q

Celluloid is chemically
A. cellulose acetate
B. regenerated cellulose
C. cellulose nitrate
D. cellulose acetate butyrate

A

C. cellulose nitrate

21
Q

Viscose rayon is chemically
A. Cellulose nitrate
B. Regenerated cellulose nitrate
C. Cellulose acetate
D. Regenerated cellulose acetate

A

D. Regenerated cellulose acetate

22
Q

Twenty men can finish a certain project in 30 days. On completion of 10 days, 10 men left the project. The remaining men work for next 10 days. At the end of 20 days, it is decided to complete the project in the remaining 10 days. How many extra men are required?
A. 30
B. 10
C. 20
D. 40

A

C. 20

23
Q

What is ½ · 2/3 · … · 8/9 of 297?
A. 33
B. 1833
C. 264
D. 138

A

A. 33

24
Q

What is the fourth term expansion of (3x - 2y)¹⁰?
A. 2119230xy³
B. -2119230xy³
C. 2099520x⁷y³
D. -2099520x⁷y³

A

D. -2099520x⁷y³

25
Q

At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party?
A. 60
B. 65
C. 90
D. 100

A

A. 60

26
Q

Determine the surface area of a hexagonal prism whose base is a regular hexagon with side 5 cm and has a height of 12 cm.
A. 490
B. 213
C. 310
D. 770

A

A. 490

27
Q

Determine the volume of a hexagonal prism whose base is a regular hexagon with side 5 cm and has a height of 12 cm in cm³.
A. 490
B. 213
C. 310
D. 779

A

D. 779

28
Q

How many diagonals does an octagon have?
A. 8
B. 20
C. 16
D. 24

A

B. 20

29
Q

Determine the measurement of the interior angle of a regular undecagon.
A. 1620°
B. 172°
C. 147°
D. 1980°

A

C. 147°

30
Q

What is the maximum number of rectangular boxes, each measuring 2” by 3” by 5” that can be packed into a rectangular packing box measuring 18” by 19” by 35”, if all the smaller boxes are aligned in the same direction?
A. 378
B. 399
C. 387
D. 393

A

A. 378

31
Q

Nine identical balls of diameter 3 inches will be packed in a cube box of side 18 inches. Determine the space inside the box that is not occupied by the balls.
A. 5705 in³
B. 4814 in³
C. 5718 in³
D. 5747 in³

A

A. 5705 in³

32
Q

What is true about the statement “If two angles are right angles, the angles have equal measure” and its converse “If two angles have equal measure then the two angles are right angles”?
A. The statement is true, but its converse is false.
B. The statement is false, but its converse is true.
C. Both the statement and its converse are false.
D. Both the statement and its converse are true.

A

A. The statement is true, but its converse is false.

33
Q

The average hours of sleep of 1400 new professionals were recorded and it was determined that the mean, which is normally distributed, is higher than 8 hours standard deviation above the mean. How many hours is the mean?
A. 1103
B. 1115
C. 297
D. 280

A

C. 297

34
Q

This is a type of sampling where subjects are divided into subgroups based on common characteristics.
A. Convenience Sampling
B. Judgment Sampling
C. Quota Sampling
D. Cluster Sampling

A

D. Cluster Sampling

35
Q

In how many ways can 8 politicians be arranged in a row for a picture taking if two of the politicians should not stand next to each other?
A. 30,240
B. 10 080
C. 5,040
D. 40,320

A

A. 30,240

36
Q

In how many ways can 2 teddy bears, 3 dinosaurs and 4 dolls be arranged such that the toys of the same type are always together?
A. 1728
B. 288
C. 144
D. 96

A

A. 1728

37
Q

A committee of 6 is to be chosen from 10 men and 7 women so as to contain at least 3 men and 2 women. Find the number of different ways this can be done, if in particular women refuse to serve on the same committee.
A. 8270
B. 8620
C. 7800
D. 7680

A

C. 7800

38
Q
A

Gnireenigne lacimehc (7 decks)

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