West Bengal Joint Entrance Exam
Question : If $\frac{1}{a}–\frac{1}{b}=\frac{1}{a–b}$, then the value of $a^{3}+b^{3}$ is:
Option 1: 0
Option 2: –1
Option 3: 1
Option 4: 2
Correct Answer: 0
Solution : Given: $\frac{1}{a}–\frac{1}{b}=\frac{1}{a–b}$ ⇒ $\frac{b–a}{ab}=\frac{1}{a–b}$ ⇒ $(b–a)(a–b)=ab$ ⇒ $(a–b)^{2}=–ab$ ⇒ $a^{2}+b^{2}–2ab=–ab$ ⇒ $a^{2}+b^{2}=ab$ ⇒ $a^{2}+b^{2}-ab=0$ We know $a^3+b^3=(a+b)(a^2+b^2-ab)$ So, $a^3+b^3=0$ Hence, the correct answer is $0$.
Question : Case Study 75
ABC Corporation is a well-known company with its shares listed on a stock exchange. The company's management is reviewing the concept of dematerialization.
Question :
In dematerialization, what replaces physical share certificates?
Option 1: Trading orders
Option 2: Dividend checks
Option 3: Electronic records
Option 4: Ownership deeds
Correct Answer: Electronic records
Solution : The correct answer is (c) Electronic records
In dematerialization, physical share certificates are replaced by electronic records. Dematerialization involves converting physical share certificates, which are paper-based, into an electronic format. The ownership and details of the shares are recorded electronically, and these electronic records
Question : Choose the correctly spelt word?
Option 1: Ameliorete
Option 2: Ameliorate
Option 3: Amelliorate
Option 4: Amiliorate
Correct Answer: Ameliorate
Solution : Option 2 is the correct answer.
Ameliorate means to improve and make better something bad or unsatisfactory.
For Example:
He has to ameliorate his performance to secure a good rank in the exam.
Hello student,
To take admission in Narula Institute of Technology, valid score/rank in WBJEE/Jee(Main)/CEE-AMPAI- WB current academic year is necessary. However, there are two options:
The first eligibility criteria is 10+2 standard or equivalent with Physics & Mathematics along with any one of Chemistry / Biotechnology / Biology / Computer
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
Question : Identify the segment that contains a grammatical error. If there is no error, select 'No error'.
The NCGG has been / set up to assist in / bring about governance reforms through studies.
Option 1: set up to assist in
Option 2: bring about governance reforms through studies.
Option 3: The NCGG has been
Option 4: No error
Correct Answer: bring about governance reforms through studies.
Solution : The correct choice is the second option.
Explanation: The error is related to maintaining consistency in verb tense. The phrase "has been set up" is in the present perfect tense, indicating an action that started in the past and
Question : Just after the declaration of Lok sabha Election in 2014, the Bombay stock exchange index rose by 1000 points. Identify the dimension of business environment?
Option 1: Social environment
Option 2: Economic environment
Option 3: Political environment
Option 4: Technological environment
Correct Answer: Political environment
Solution : Political environment constitutes all the factor related to governmnet affairs such as type of government in power, attitude of government towards different groups of societies, policy changes implemented by different government etc. In the above case, Just after the declaration of Lok sabha Election
Question : A person bought some pens at the rate of 14 for a rupee and sold them at the rate of 10 for a rupee. What is the profit percentage?
Option 1: 30%
Option 2: 50%
Option 3: 45%
Option 4: 40%
Correct Answer: 40%
Solution : Given: A person bought some pens at the rate of 14 for a rupee and sold them at the rate of 10 for a rupee. Profit percentage = $\frac{SP–CP}{CP}×100$, where SP is the selling price and CP is the cost price. = $\frac{14–10}{10}\times 100$ =
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
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