Recruitment
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 : The currency note in India is a:
Option 1: Promissory note
Option 2: Cheque
Option 3: Demand draft
Option 4: Bill of exchange
Correct Answer: Promissory note
Solution : The correct answer is The currency note in India is (a) Promissory note.
A currency note is a form of legal tender issued by the central bank of a country, in this case, the Reserve Bank of India (RBI). It is a promissory note
Question : The difference between Simple and Compound Interest (compounded annually) on Rs. 40,000 for 3 years at 8% per annum is:
Option 1: Rs. 684.32
Option 2: Rs. 788.48
Option 3: Rs. 784.58
Option 4: Rs. 4,000
Correct Answer: Rs. 788.48
Solution : The formula for the difference between Compound Interest(CI) and Simple Interest(SI) for 3 years is given by: $CI-SI=\frac{PR^{2}(300+R)}{100^{3}}$, where $P$ is principal and $R$ is rate of interest per annum compounded annually. ⇒ $CI-SI=\frac{40000\times8^{2}\times(300+8)}{100^{3}}$ ⇒ $CI-SI=\frac{788480000}{1000000}$ $\therefore CI-SI=788.48$ Hence, the correct answer is Rs.
Question : Directions: In this question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
Night came on and the room ___ dark.
Option 1: is growing
Option 2: has grown
Option 3: grew
Option 4: will grow
Correct Answer: grew
Solution : The correct choice to fill in the blank is the third option.
Grew is the past tense of grow and correctly fits into the sentence, which helps convey the intended meaning, which is that the room gradually went dark along with the night. Other
Question : What was the primary purpose of translating Ain-i-Akbari into different languages?
Option 1: To spread Akbar's religious beliefs
Option 2: To facilitate trade negotiations
Option 3: To make the administrative record accessible
Option 4: To promote cultural exchange
Correct Answer: To make the administrative record accessible
Solution : Correct Option: Option 3 Explanation: The primary purpose of translating Ain-i-Akbari into different languages was to make the administrative record accessible to officials and scholars who spoke different languages, thereby ensuring effective governance.
Question : If $x-\frac{1}{x}=1$, then what is the value of $\left (\frac{1}{x-1}-\frac{1}{x+1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1} \right)\;$?
Option 1: $\pm \sqrt{5}$
Option 2: $\frac{2}{5}$
Option 3: $\pm\frac{2}{\sqrt{5}}$
Option 4: $\pm\frac{\sqrt{5}}{2}$
Correct Answer: $\pm\frac{2}{\sqrt{5}}$
Solution : Given: $x-\frac{1}{x}=1$ $⇒x^{2}-1=x$ $⇒x^{2}+1=x+2$ $\left (\frac{1}{x-1}-\frac{1}{x+1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1} \right)$ $=(\frac{2}{x^{2}-1}+\frac{1}{x^{2}+1}-\frac{1}{x^{2}-1})$ $=(\frac{1}{x^{2}-1}+\frac{1}{x^{2}+1})$ $=(\frac{2x^{2}}{(x^{2}-1)(x^{2}+1)})$ Using $x^{2}-1=x$ and $x^{2}+1=x+2$, we get, $=(\frac{2x^{2}}{(x)(x+2)})$ $=\frac{2x}{x+2}$ Solving $x^{2}-x-1=0$, we get $x=\frac{1\pm\sqrt{5}}{2}$ So, $x+2=\frac{5\pm\sqrt{5}}{2}$ When $x=\frac{1+\sqrt{5}}{2}$, $\frac{2x}{x+2}=\frac{2}{\sqrt{5}}$ When $x=\frac{1-\sqrt{5}}{2}$, $\frac{2x}{x+2}=-\frac{2}{\sqrt{5}}$ Hence, the correct answer is $\pm\frac{2}{\sqrt{5}}$.
Question : Which of the following states has the highest fertility rate in India according to the 2011 census?
Option 1: Kerala
Option 2: Punjab
Option 3: Maharashtra
Option 4: Bihar
Correct Answer: Bihar
Solution : The correct answer is Bihar.
According to the 2011 census in India, Bihar has the highest fertility rate among states. Seven states, namely Bihar (3.2), Uttar Pradesh (3.0), Madhya Pradesh (2.7), Rajasthan (2.6), Assam (2.3), Chhattisgarh (2.4), and Jharkhand (2.5), recorded fertility rates higher
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