This document contains a practice math test with 10 questions and detailed solutions. It addresses topics like finding the least common multiple, calculating percentages from a pie chart, identifying perfect squares and cubes, substitution in algebraic expressions, calculating averages, and using properties of 30-60-90 triangles to solve for lengths in a geometry problem. The practice test provides step-by-step workings to demonstrate how to arrive at the answers as well as expert shortcuts for some questions.
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IIT JAM MATH 2018 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2018 Question Paper
IIT JAM Preparation Strategy
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IIT JAM MATH 2019 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Preparation Strategy
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2019 Question Paper
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IIT JAM MATH 2019 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Preparation Strategy
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Question 1 of 502.0 PointsSimplify the complex rational expres.docxmakdul
Question 1 of 50
2.0 Points
Simplify the complex rational expression.
A.
B.
C.
D.
Question 2 of 50
2.0 Points
Solve the quadratic equation by the square root property. (2x + 5) 2 = 49
A. {-6, 1}
B. {0, 1}
C. {-27, 27}
D. {1, 6}
Question 3 of 50
2.0 Points
Solve the linear equation.
A.
B.
C.
D.
Question 4 of 50
2.0 Points
Write the number in scientific notation.
0.000779
A.
7.79 x 10 -4
B.
7.79 x 10 4
C.
7.79 x 10 -3
D.
7.79 x 10 -5
Question 5 of 50
2.0 Points
Graph the equation in the rectangular coordinate system.
3y = 15
A.
B.
C.
D.
Question 6 of 50
2.0 Points
Along with incomes, people's charitable contributions have steadily increased over the past few years. The table below shows the average deduction for charitable contributions reported on individual income tax returns for the period 1993 to 1998. Find the average annual increase between 1995 and 1997.
A. $270 per year
B. $280 per year
C. $335 per year
D. $540 per year
Question 7 of 50
2.0 Points
Find the domain of the function.
A.
(-∞, 6) (6, ∞)
B.
C.
D.
(-∞, 6]
Question 8 of 50
2.0 Points
Graph the line whose equation is given.
A.
B.
C.
D.
Question 9 of 50
2.0 Points
Find the zeros of the polynomial function.
f(x) = x 3 + 5x 2 – 4x – 20
A. x = –5, x = 4
B. x = –2, x = 2
C. x = –5, x = –2, x = 2
D. x = 5, x = –2, x = 2
Question 10 of 50
2.0 Points
You have 332 feet of fencing to enclose a rectangular region. What is the maximum area?
A. 6889 square feet
B. 6885 square feet
C. 110,224 square feet
D. 27,556 square feet
Question 11 of 50
2.0 Points
Find the vertical asymptotes, if any, of the graph of the rational function.
A. x = 4 and x = 4
B. x = 4
C. x = 0 and x = 4
D. No vertical asymptote
Question 12 of 50
2.0 Points
Find the y-intercept for the graph of the quadratic function.
y + 4 = (x + 2) 2
A. (0, 4)
B. (0, 0)
C. (4, 0)
D. (0, -4)
Question 13 of 50
2.0 Points
Use Newton's Law of Cooling, T = C + (T0 – C).e kt, to solve the problem.
A cup of coffee with temperature 102°F is placed in a freezer with temperature 0°F. After 8 minutes, the temperature of the coffee is 52.5°F. What will its temperature be 13 minutes after it is placed in the freezer? Round your answer to the nearest degree.
A. 32°F
B. 29°F
C. 35°F
D. 27°F
Question 14 of 50
2.0 Points
Use the graph of f(x) = log x to obtain the graph of g(x) = log x + 5.
A.
B.
C.
D.
Question 15 of 50
2.0 Points
Evaluate or simplify the expression without using a calculator.
log 1000
A.
3
B.
30
C.
D.
Question 16 of 50
2.0 Points
A fossilized leaf contains 15% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14. Solve the problem.
A. 35,828
B. 15,299
C. 1311
D. 21,839
Question 17 of 50
2.0 Points
Find the exact value of the expression.
tan -1 0
A.
0
B.
C.
D.
Qu ...
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Este taller vamos a ver una rama de las matemáticas que se ocupa del estudio de las propiedades de las figuras en el plano o el espacio, incluyendo: puntos, rectas, planos etc
Neuro-symbolic is not enough, we need neuro-*semantic*Frank van Harmelen
Neuro-symbolic (NeSy) AI is on the rise. However, simply machine learning on just any symbolic structure is not sufficient to really harvest the gains of NeSy. These will only be gained when the symbolic structures have an actual semantics. I give an operational definition of semantics as “predictable inference”.
All of this illustrated with link prediction over knowledge graphs, but the argument is general.
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf91mobiles
91mobiles recently conducted a Smart TV Buyer Insights Survey in which we asked over 3,000 respondents about the TV they own, aspects they look at on a new TV, and their TV buying preferences.
Epistemic Interaction - tuning interfaces to provide information for AI supportAlan Dix
Paper presented at SYNERGY workshop at AVI 2024, Genoa, Italy. 3rd June 2024
https://alandix.com/academic/papers/synergy2024-epistemic/
As machine learning integrates deeper into human-computer interactions, the concept of epistemic interaction emerges, aiming to refine these interactions to enhance system adaptability. This approach encourages minor, intentional adjustments in user behaviour to enrich the data available for system learning. This paper introduces epistemic interaction within the context of human-system communication, illustrating how deliberate interaction design can improve system understanding and adaptation. Through concrete examples, we demonstrate the potential of epistemic interaction to significantly advance human-computer interaction by leveraging intuitive human communication strategies to inform system design and functionality, offering a novel pathway for enriching user-system engagements.
Slack (or Teams) Automation for Bonterra Impact Management (fka Social Soluti...Jeffrey Haguewood
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This video focuses on the notifications, alerts, and approval requests using Slack for Bonterra Impact Management. The solutions covered in this webinar can also be deployed for Microsoft Teams.
Interested in deploying notification automations for Bonterra Impact Management? Contact us at sales@sidekicksolutionsllc.com to discuss next steps.
UiPath Test Automation using UiPath Test Suite series, part 4DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 4. In this session, we will cover Test Manager overview along with SAP heatmap.
The UiPath Test Manager overview with SAP heatmap webinar offers a concise yet comprehensive exploration of the role of a Test Manager within SAP environments, coupled with the utilization of heatmaps for effective testing strategies.
Participants will gain insights into the responsibilities, challenges, and best practices associated with test management in SAP projects. Additionally, the webinar delves into the significance of heatmaps as a visual aid for identifying testing priorities, areas of risk, and resource allocation within SAP landscapes. Through this session, attendees can expect to enhance their understanding of test management principles while learning practical approaches to optimize testing processes in SAP environments using heatmap visualization techniques
What will you get from this session?
1. Insights into SAP testing best practices
2. Heatmap utilization for testing
3. Optimization of testing processes
4. Demo
Topics covered:
Execution from the test manager
Orchestrator execution result
Defect reporting
SAP heatmap example with demo
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
Connector Corner: Automate dynamic content and events by pushing a buttonDianaGray10
Here is something new! In our next Connector Corner webinar, we will demonstrate how you can use a single workflow to:
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Send an interactive Slack channel message (using buttons)
Have the message received by managers and peers along with a test email for review
But there’s more:
In a second workflow supporting the same use case, you’ll see:
Your campaign sent to target colleagues for approval
If the “Approve” button is clicked, a Jira/Zendesk ticket is created for the marketing design team
But—if the “Reject” button is pushed, colleagues will be alerted via Slack message
Join us to learn more about this new, human-in-the-loop capability, brought to you by Integration Service connectors.
And...
Speakers:
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Learn about the latest enhancements to out-of-the-box document processing – with little to no training required
Get an exclusive demo of the new family of UiPath LLMs – GenAI models specialized for processing different types of documents and messages
This is a hands-on session specifically designed for automation developers and AI enthusiasts seeking to enhance their knowledge in leveraging the latest intelligent document processing capabilities offered by UiPath.
Speakers:
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👩🏫 Lenka Dulovicova, Product Program Manager, UiPath
State of ICS and IoT Cyber Threat Landscape Report 2024 previewPrayukth K V
The IoT and OT threat landscape report has been prepared by the Threat Research Team at Sectrio using data from Sectrio, cyber threat intelligence farming facilities spread across over 85 cities around the world. In addition, Sectrio also runs AI-based advanced threat and payload engagement facilities that serve as sinks to attract and engage sophisticated threat actors, and newer malware including new variants and latent threats that are at an earlier stage of development.
The latest edition of the OT/ICS and IoT security Threat Landscape Report 2024 also covers:
State of global ICS asset and network exposure
Sectoral targets and attacks as well as the cost of ransom
Global APT activity, AI usage, actor and tactic profiles, and implications
Rise in volumes of AI-powered cyberattacks
Major cyber events in 2024
Malware and malicious payload trends
Cyberattack types and targets
Vulnerability exploit attempts on CVEs
Attacks on counties – USA
Expansion of bot farms – how, where, and why
In-depth analysis of the cyber threat landscape across North America, South America, Europe, APAC, and the Middle East
Why are attacks on smart factories rising?
Cyber risk predictions
Axis of attacks – Europe
Systemic attacks in the Middle East
Download the full report from here:
https://sectrio.com/resources/ot-threat-landscape-reports/sectrio-releases-ot-ics-and-iot-security-threat-landscape-report-2024/
Builder.ai Founder Sachin Dev Duggal's Strategic Approach to Create an Innova...Ramesh Iyer
In today's fast-changing business world, Companies that adapt and embrace new ideas often need help to keep up with the competition. However, fostering a culture of innovation takes much work. It takes vision, leadership and willingness to take risks in the right proportion. Sachin Dev Duggal, co-founder of Builder.ai, has perfected the art of this balance, creating a company culture where creativity and growth are nurtured at each stage.
3. Question 1
What is the smallest three-digit number that
leaves a remainder of 1 when divided by 2,
3, and 5?
(a) 121
(b) 151
(c) 181
(d) 211
math-tanong CEER Supplement set 1
4. Question 1 Solution
• Determine first the least common multiple
(LCM) of 2, 3, and 5 – which is 30.
• Now, find the smallest three-digit multiple of
the LCM – that’s 120.
• The smallest 3-digit number that leaves a
remainder of 1 when divided by 2, 3, and 5 is
the smallest 3-digit number that leaves a
remainder of 1 when divided by 30, the LCM
– that’s 121 ☺
math-tanong CEER Supplement set 1
5. Question 2
The pie chart above shows the distribution of DVD
rentals from Dibidi Doo Bee shop for a single night. If
250 DVDs were rented that night, how many more
action movies were rented than horror movies?
(a) 10
(b) 20
(c) 22
(d) 25
math-tanong CEER Supplement set 1
6. Question 2 Solution
TIP: For this type of problem, just subtract the rates
before applying the percentage – no need to multiply
first before subtracting.
Those who rented action
movies are
22% — 12% = 10%
more than those who rented
horror movies. Thus, there are
250(10%) = 250(0.1) = 25
more action movies rented than
horror movies.
math-tanong CEER Supplement set 1
7. Question 3
Suppose that n and p are integers greater than 1. If 5n is
a perfect square and 75np is a perfect cube, what is the
smallest value of n + p?
(a) 5 (c) 8
(b) 6 (d) 15
math-tanong CEER Supplement set 1
8. Question 3 Solution
If 5n is a perfect square, the smallest possible value of n
would be 5. Now,
75np = 52 i 3 i np
If 75np is a perfect cube and n = 5 is the smallest
possible value of n, the smallest possible value for p is
32 = 9 since
75np = 52 i 3 i 5 i 32 = 53 i 33
Hence, the smallest possible value for n + p is
5 + 9 = 14
math-tanong CEER Supplement set 1
9. Question 4
For real numbers a and b, define the operation
a ∗ b = 3b − 2 a
If 2 ∗ 3 = 3 ∗ X , what is the value of X?
?
11
( a) 2 ( c)
3
9
( b) ( d) 4
2
math-tanong CEER Supplement set 1
10. Question 4 Solution
By definition of the operation "∗ ":
2 ∗ 3 = 3 ∗ X ⇒ 3 ( 3 ) − 2 ( 2 ) = 3X − 2 ( 3 )
5 = 3x − 6
3 x = 11
11
x=
3
math-tanong CEER Supplement set 1
11. Question 4 Solution
Of course, you can do substitution. By the definition,
2 ∗ 3 = 3 ( 3 ) − 2 (2 ) = 5 and
3 ∗ X = 3 ( X ) − 2 ( 3 ) = 3X − 6
Q: Which of the choices will give a value of 5 when
substituted to X in 3X − 6? Choice (c).
math-tanong CEER Supplement set 1
12. Question 5
A test is composed of 25 questions. The score of an
examinee is obtained by giving him 4 points for each
correct answer and deducting 1 point for each wrong
answer. If an examinee answered all the questions and
obtained a score of 70, how many questions did he
answer correctly?
(a) 17 (c) 19
(b) 18 (d) 20
math-tanong CEER Supplement set 1
13. Question 5 Solution
Let x = the number of correct answers
25 – x = the number of wrong answers
(since there are 25 questions in all)
No. of Points Equation :
Equatio n
questions per Total points
answered question 4 x − ( 25 − x ) = 70
Correct x 4 4x 4 x − 25 + x = 70
1(25 − x)
5 x = 95
Wrong 25 − x 1
= 25 − x x = 19
math-tanong CEER Supplement set 1
14. Question 6
In the figure below, 1 2 . What is the
value of x?
(a) 40
(b) 50
(c) 60
(d) 70
math-tanong CEER Supplement set 1
15. Question 6 Solution
Draw an extra line passing through the vertex of
angle x and parallel to 1 and 2
m°
n°
math-tanong CEER Supplement set 1
16. Question 6 Solution
If m and n are the angles formed as in the figure, then,
using the ideas of angles formed by a transversal:
m = 20 ( corresponding angles )
n = 180 − 150 = 30
(alternate interior 150, m°
thenadjacent) n°
∴ x = m + n = 50
math-tanong CEER Supplement set 1
17. Question 7
If 6 − x = 5.43 , what is the value of 6 + x ?
(a) 6.43
(b) 6.57
(c) 17.43
(d) 17.51
math-tanong CEER Supplement set 1
18. Question 7 Solution
Warning: DO NOT ATTEMPT to solve
for x! Sayang ang effort!
6 − x = 5.43 ⇒ − x = 5.43 − 6 = −0.57
x = 0.57
∴ 6 + x = 6 + 0.57 = 6.57
math-tanong CEER Supplement set 1
19. Question 9
Erin calculated the average of 5 numbers to be 38. Then
she found out that she had made an error and had
written 40 for one of the numbers when she should have
written 30. What is the average of the correct 5 numbers?
(a) 32
(b) 34
(c) 36
(d) 38
math-tanong CEER Supplement set 1
20. Question 9 Solution
Let S be the sum of the first 4 numbers that Erin has.
If the average of 5 numbers is 38, including the
erroneous 40, then
S + 40
average = = 38 ⇒ S + 40 = 190
5
But the last number should be 30 instead of 40, so
S + 40 − 10 = 190 − 10 ⇒ S + 30 = 180
The average, then, should have been
S + 30 180
= = 36
5 5
math-tanong CEER Supplement set 1
21. Question 9 Solution
“Expert” shortcut solution: Start with
S + 40
original average = = 38 ⇒ S + 40 = 190
5
Then the correct average is
S + 30 ( S + 40 ) − 10 190 − 10 180
= = = = 36
5 5 5 5
math-tanong CEER Supplement set 1
22. Question 10
In the diagram, FDCB is a rectangle. Segment ED is 6
units long, segment AB is 10 units long, and the measure
of angle ECD is 60°.What is the length of segment AE?
3
( a) 20 ( c) 20 −
2
3
( b) ( d) 20 −4 3
2
math-tanong CEER Supplement set 1
23. Question 10 Solution
Fast facts about the figure:
1. Triangle CDE is a 30-60-90 triangle with angle DEC =
30 degrees.
2. Since DF is parallel
to CB, and AE acts y y
as a transversal, then 2 x 3
30°
angle AEF is 30 2
degrees. Hence, x x
triangle EAF is also a 2 x 2
30-60-90 triangle.
math-tanong CEER Supplement set 1
24. Question 10 Solution
Hence, we have the following:
1. By the properties of a 30-60-90 triangle:
6 12 3
EC = 2 = i =4 3
3 3 3
30°
x 3
=6
2
1
DC = EC = 2 3 x
2 x 2
math-tanong CEER Supplement set 1
25. Question 10 Solution
2. Since BCDF is a rectangle, DC = BF, so
DC = BF = 2 3
3. Since AB = 10, then
AF = 10 − BF 30°
= 10 − 2 3 2 3 2 3
math-tanong CEER Supplement set 1
26. Question 10 Solution
4. Since EAF is a 30-60-90 triangle with angle AEF
= 30 degrees, then
AE = 2AF
(
y = 2 10 − 2 3 )
(
= 2 10 − 2 3 ) 10 − 2 3
30°
= 20 − 4 3 2 3
math-tanong CEER Supplement set 1
27. Question 10 Solution
Expert fast solution! Let x = EF and z = AE Based on the
established facts earlier, you have the figure shown.
x 3 12 3
=6⇒x = i =4 3
2 3 3
x 4 3 z
= =2 3 z
2 2 y =
2 x 3
x 30° =6
y = 10 − = 10 − 2 3 2
2
x x
z
2
(
y = = 10 − 2 3 ⇒ z = 2 10 − 2 3 ) 2 x 2
= 20 − 4 3
math-tanong CEER Supplement set 1