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13 Views

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

Team Careers360 15th Jan, 2024

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, $\frac{AD}{AB}$ = $\frac{AE}{AC}$
⇒ $\frac{3}{8}$ =

33 Views

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

Team Careers360 15th Jan, 2024

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

9 Views

Question : Directions: Select the odd cluster of letters from the given alternatives.

Option 1: PNK

Option 2: XUR

Option 3: HEB

Option 4: IFC

Team Careers360 23rd Jan, 2024

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

20 Views

What is the duration of the PGDM in Entrepreneurship and family business program at IILM University?

Tanya Gupta 22nd Jan, 2024

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

13 Views

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

Team Careers360 15th Jan, 2024

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

13 Views

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

Team Careers360 17th Jan, 2024

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

7 Views

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  

Team Careers360 18th Jan, 2024

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.

 

6 Views

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: $\frac{576}{625}$

Team Careers360 16th Jan, 2024

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 =

26 Views

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

Team Careers360 20th Jan, 2024

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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