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Question : If in a $\triangle$ABC, D and E are on the sides AB and AC, such that, DE is parallel to BC and $\frac{AD}{BD}$ = $\frac{3}{5}$. If AC = 4 cm, then AE is:
Option 1: 1.5 cm
Option 2: 2.0 cm
Option 3: 1.8 cm
Option 4: 2.4 cm
Correct Answer: 1.5 cm
Solution : Given: $\frac{AD}{BD}$ = $\frac{3}{5}$ In $\triangle$ABC and $\triangle$DBE, $\angle$BAC = $\angle$DAE (same angle) $\angle$ADE = $\angle$ABC (corresponding angles) $\angle$AED = $\angle$ACB (corresponding angles) By AAA similarity, $\triangle$ABC ~ $\triangle$ADE ⇒ $\frac{AD}{AB}$ = $\frac{AD}{AD+BD}$ = $\frac{3}{3+5}$ = $\frac{3}{8}$ Now, $\frac{AD}{AB}$ = $\frac{AE}{AC}$ ⇒ $\frac{3}{8}$ =
Question : Identify and correct the INCORRECTLY spelt word in the given sentence.
Successful people often have a role modal who inspired them to greatness.
Option 1: greatness
Option 2: successful
Option 3: inspired
Option 4: modal
Correct Answer: modal
Solution : The incorrectly spelt word in the sentence is the fourth option.
The correct spelling is model. In the context of the sentence, a "role model" refers to a person who serves as an example or inspiration for others.
The meanings of other options are as
Question : Directions: Select the odd cluster of letters from the given alternatives.
Option 1: PNK
Option 2: XUR
Option 3: HEB
Option 4: IFC
Correct Answer: PNK
Solution : Let's check the options – First option: PNK; P – 2 = N; N – 3 = K Second option: XUR; X – 3 = U; U – 3 = R Third option: HEB; H – 3 = E; E – 3 = B Fourth
Question : Case Study 10: Entrepreneurship and Economic Growth
A group of young graduates decided to start a tech startup. They developed an innovative mobile application that connects farmers directly to consumers, eliminating the need for middlemen. This resulted in better prices for farmers and affordable produce for consumers.
Question:
The startup's app contributes to economic growth by:
Option 1: Increasing the cost of agricultural products
Option 2: Creating more middlemen
Option 3: Promoting direct farmer-consumer interactions
Option 4: Limiting the reach of agricultural products
Correct Answer: Promoting direct farmer-consumer interactions
Solution : The correct answer is (c) Promoting direct farmer-consumer interactions
The mobile application, by connecting farmers directly to consumers and eliminating the need for middlemen, promotes direct interactions between farmers and consumers. This can lead to economic growth by creating more efficient and
Hello,
PGDM in Entrepreneurship and Family Business is a program that focuses on developing entrepreneurial skills for family businesses. The duration of PGDM is of two years at IILM.
The PGDM program is designed to shape highly competent professional managers who have the potential to achieve outstanding performance in any
Question : Directions: Which number will appear at the bottom face in the last cube?
Option 1: 3
Option 2: 4
Option 3: 6
Option 4: 1
Correct Answer: 6
Solution : The bottom face in the last cube is the face opposite to 4. Taking dice positions 2 and 3 with 4 as the common face,
Moving clockwise from the common face with 4,
Pairs of opposite faces –
So, the bottom face in the last
Question : Study the graph and answer the question.
By what percentage are the total imports of the country in 2016 and 2017 less than the total exports in 2014, 2015, and 2018? (Your answer should be correct to one decimal place)
Option 1: 46.7
Option 2: 87.5
Option 3: 48.4
Option 4: 84.8
Correct Answer: 46.7
Solution : According to the question Total exports in 2014, 2015, and 2018 = 500 + 560 + 440 = 1500 Total imports in 2016 and 2017 = 375 + 425 = 800 ⇒ Required percentage = $\frac{\text{1500- 800}}{\text{1500}}$ × 100 = 46.7 Hence, the correct answer
Question : In observational research, the application of observational skills is crucial for:
Option 1: Entertaining the subjects
Option 2: Making subjective judgments
Option 3: Understanding and interpreting behavior
Option 4: Providing immediate feedback
Correct Answer: Understanding and interpreting behavior
Solution : The application of observational skills is crucial for understanding and interpreting behavior in observational research, as it allows researchers to gather accurate and objective data.
Question : If $(\cos q+\sin q)=\frac{31}{25}$, then what will be the value of $\cos^2 q$?
Option 1: $\frac{522}{625}$
Option 2: $\frac{512}{625}$
Option 3: $\frac{513}{625}$
Option 4: $\frac{576}{625}$
Correct Answer: $\frac{576}{625}$
Solution : \(\cos q + \sin q = \frac{31}{25}\) ____(i) Squaring both sides, we get, $⇒(\cos q + \sin q)^2 = \left(\frac{31}{25}\right)^2$ $⇒\cos^2 q + \sin^2 q + 2\cos q \sin q = \left(\frac{31}{25}\right)^2$ $⇒1 + 2\cos q \sin q = \left(\frac{31}{25}\right)^2$ $⇒2\cos q \sin q =
Question : Identify an anomaly element that belongs to both Group 1 and Group 17.
Option 1: Oxygen
Option 2: Hydrogen
Option 3: Chlorine
Option 4: Nitrogen
Correct Answer: Hydrogen
Solution : The correct answer is Hydrogen.
There is an unusual occurrence in the Modern Periodic table concerning the position of Hydrogen (H). During the first period, Hydrogen can be found in either Group 1 or Group 17. Group 1, known as the alkali metals, is
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