List of practice Questions

Let $\vec{a}=\alpha \hat{i}+\hat{j}-\hat{k}$ and $\vec{b}=2 \hat{i}+\hat{j}-\alpha \hat{k}, \alpha>0$. If the projection of $\vec{a} \times \vec{b}$ on the vector $-\hat{ i }+2 \hat{ j }-2 \hat{ k }$ is $30$, then $\alpha$ is equal to
Select the most appropriate preposition/word/group of words to fill in the blank to make the given sentence most meaningfully complete :
Do not waste time and energy in being jealous ______ your rival's success.

The plane passing through the line L :lx – y + 3(1 – l) z = 1, x + 2y – z = 2 and perpendicular to the plane 3x + 2y + z = 6 is 3x – 8y + 7z = 4. If θ is the acute angle between the line L and the y-axis, then 415 cos2θ is equal to ________.

All whales are mammals. All creatures breathe. Some whales are creatures. Mickey Mouse is a whale. Examine the following statements :
I. Mickey Mouse breathes.
II. Mickey Mouse does not breathe.
III. Mickey Mouse is a creature.
IV. Mickey Mouse is not a creature.
V. Mickey Mouse is a mammal.
VI. Mickey Mouse is not a mammal.
Choose the most appropriate answer.
Choose the grammatically correct option for each of the following sentences.
The market for extremely short period loan is called........
The 45th FIDE Chess Olympiad will beheld in. … …
Who is hosting the 2022 Commonwealth Games?
In which sport is the term'Love'used?
Choose among the following investment instruments which has high risk,high volatility and high return?
Which among the following sector is a priority sector as per RBl?
World Economic Outlook'is published by......
Open Network for Digital Commerce is a private non-profit Section 8 company established by the Department for Promotion of Industry and Internal Trade of Government of India to develop open e-commerce.Name the first company to join this network.
James Webb Space Telescope is named after James Edwin Webb who worked at NASA as........
Draft Red Herring Prospectus filed by a company which plans IPO with SEBI does not contain information related to
…………is a minimum percentage of deposits that a commercial bank has to maintain in the form of liquid cash,gold or other securities.
Name the first foreign country to adopt India's Unified Payment Interface
is the India's first home-grown Asset Management Platform where individuals can store digital assets.
Autoliv Inc;is a fortune 500 company which is setting up its manufacturing plant in Tamil Nadu at an investment of 100 crore.Name the headquarter of this company.
HDFC bank and Common Service Centers have launched chatbot 'Eva' on Common Service Center's Digital Seva Portal to support the.
Under GST mechanism,a supply of a package consisting of cakes,dryfruits and fruit juices for a single price is considered as ……
As per WTO rules,Minimum Support Prices are classified as
At the time of recession in the economy,the Government should …..to increase the aggregate demand.
Which Indian coastal state provides natural nesting ground for mass nesting of Olive ridley turtles?
As per IPCC's Sixth Assessment Report,2022,which of the following sector contributes to the highest share of total net anthropogenic Green House Gas emissions in 2019?