Graduate Aptitude Test in Engineering
Question : The sides of similar triangle $\triangle ABC$ and $\triangle DEF$ are in the ratio of $\frac{\sqrt{3}}{\sqrt{5}}$. If the area of $\triangle ABC$ is $90 \text{ cm}^2$, then the area of $\triangle DFF\left(\right.$ in $\left.\text{cm}^2\right)$ is:
Option 1: 150
Option 2: 152
Option 3: 154
Option 4: 156
Correct Answer: 150
Solution : Ratio of their sides = $\frac{\sqrt3}{\sqrt5}$ $\therefore$ Ratio of their areas = $(\frac{\sqrt3}{\sqrt5})^2 = \frac{3}{5}$ Given the area of $\triangle ABC$ = $90\text{ cm}^2$ $\therefore$ Area of $\triangle DEF=90\times \frac{5}{3} = 150\text{ cm}^2$ Hence, the correct answer is 150.
Question : What does the term "cumulative" mean in relation to preference shares?
Option 1: The right to vote in company meetings
Option 2: The obligation of the company to pay accumulated dividends
Option 3: The option for shareholders to convert preference shares into equity shares
Option 4: The requirement to pay a fixed dividend on preference shares
Correct Answer: The obligation of the company to pay accumulated dividends
Solution : The correct answer is (b) The obligation of the company to pay accumulated dividends.
When preference shares are described as "cumulative," it means that the company has an obligation to pay accumulated or unpaid dividends on the
Question : Labour intensive technique is chosen in:
Option 1: India
Option 2: USA
Option 3: UK
Option 4: All of the above
Correct Answer: India
Solution : Labour intensive economy is an economy in which more labour and less of capital goods are used like in India. Hence, the correct option is 1.
If you are preparing for the Mechanical Engineering paper in the GATE examination, here are the essential details and strategies to help you understand the pattern and perform well:
• The GATE Mechanical Engineering paper is designed to test candidates on their understanding of core mechanical subjects, analytical skills, and
Question : Case Study: XYZ Ltd. - Raising Finance for Expansion
XYZ Ltd. is a growing company that manufactures electronic gadgets. The company has been successful in the market and is planning to expand its operations. To finance this expansion, XYZ Ltd. is considering various sources of business finance.
Questions : Debentures and Financial Instruments
How are GDRs and ADRs similar in function?
Option 1: Both are used to issue equity shares
Option 2: Both are issued only in the domestic market
Option 3: Both represent ownership rights in the issuing company
Option 4: Both enable companies to raise funds in international markets
Correct Answer: Both enable companies to raise funds in international markets
Solution : The correct answer is (d) Both enable companies to raise funds in international markets
GDRs and ADRs are both financial instruments that enable companies to raise funds in international markets by issuing depositary receipts. GDRs are issued
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (9, 7,189) (4, 13, 156)
Option 1: (5, 9, 160)
Option 2: (6, 9, 162)
Option 3: (8, 5,125)
Option 4: (7, 8, 188)
Correct Answer: (6, 9, 162)
Solution : Given: (9, 7,189); (4,13,156)
The product of the first and second numbers is multiplied by 3, to get the third number – ⇒ (9, 7,189)→(9 × 7) × 3 = 189 ⇒ (4, 13,156)→(4 × 13) × 3 = 156
Let's check each
Question : Directions: Find the missing number from the given responses in the following question.
Option 1: 5052
Option 2: 5100
Option 3: 5094
Option 4: 4860
Correct Answer: 5100
Solution : Multiply the given numbers by 3 and then add 6 to the resultant number to obtain the next number (pattern starting from 18).
(18 × 3) + 6 = 54 + 6 = 60 (60 × 3) + 6 = 180 + 6 = 186
Question : A swimming pool has 3 drain pipes. The first two pipes A and B, operating simultaneously, can empty the pool in half the time that C, the 3rd pipe, alone takes to empty it. Also pipe A, working alone, takes half the time taken by pipe B. Together they take 6 hours 40 minutes to empty the pool. The time taken by pipe A to empty the pool, (in hours) is:
Option 1: 15 hours
Option 2: 10 hours
Option 3: 30 hours
Option 4: 7 hours
Correct Answer: 15 hours
Solution : Let the time taken by pipe B to empty the tank = $2x$ hours Time taken by pipe A to empty the tank = $x$ hours (A and B) takes half of the time that C takes. ⇒$\frac{2}{\frac{1}{2x}+\frac{1}{x}}=\frac{2}{\frac{1+2}{2x}}$= $\frac{4x}{3}$ hours Pipes A, B, and
Question : A city primarily known for its financial services and banking sector would be classified as a:
Option 1: Industrial city
Option 2: Financial hub
Option 3: University town
Option 4: Tourist destination
Correct Answer: Financial hub
Solution : Correct Option: Option 2 Explanation: A financial hub is an urban settlement that is primarily known for its financial services and banking sector, serving as a center for economic transactions.
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