When was the Goods and Services Tax (GST) implemented in India?
1st April 2018
1st July 2017
1st July 2018
1st April 2017
The question asks for the implementation date of the Goods and Services Tax (GST) in India. This is a factual question related to Indian economic policy and history, requiring knowledge of key dates.
Correct Option: B) 1st July 2017
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it.
| 30 | 42 | 56 |
| 20 | 30 | ? |
| 12 | 14 | 16 |
The problem presents a pattern of numbers arranged in three rows. We need to identify the underlying rule or relationship between the numbers in each row or column to find the missing number.
Correct Option: C) 42
The HCF of two numbers is 15 and their LCM is 225. If one of the numbers is 45, then what is the other number?
\(\frac{15\times45}{225}\)
\(\frac{225}{45}\)
\(\frac{15\times225}{45}\)
The problem involves finding an unknown number given its HCF (Highest Common Factor) and LCM (Least Common Multiple) with another number. The key concept here is the fundamental relationship between the HCF and LCM of two numbers and their product.
D) \(\frac{15\times225}{45}\) is the correct expression for the other number, derived directly from the property that the product of two numbers equals the product of their HCF and LCM.
The problem asks us to simplify the given trigonometric expression. We will use the algebraic identity for \((a+b)^2\) and the fundamental trigonometric identity \(\sin^2 A + \cos^2 A = 1\).
C) 1 is the correct answer because after expanding \( (\sin A + \cos A)^{2} \) and simplifying, the expression reduces to \( \sin^2 A + \cos^2 A \), which is equal to 1 by the fundamental trigonometric identity.
Which ISRO satellite navigation system is used to send alert messages to fishermen about bad weather and high waves, and to caution them when they approach the international maritime boundary line?
The question asks to identify the ISRO satellite navigation system specifically designed to provide alert messages to fishermen regarding weather, high waves, and international maritime boundary warnings. We need to recall the primary functions of each listed ISRO satellite system.
Correct Option: A) NavIC (IRNSS) is India's regional satellite navigation system that provides positioning, navigation, and timing services, and importantly, includes a messaging service for broadcasting alerts like bad weather, high waves, and international maritime boundary warnings to users, including fishermen.
In which city was the 11th BRICS Summit held in 2019?
The question asks for the host city of the 11th BRICS Summit in 2019. This is a factual question related to international organizations and current events, which are common topics in competitive exams. To answer this, one needs to recall the locations of recent BRICS summits.
Correct Option: C) Brasilia was the host city for the 11th BRICS Summit in 2019.
The question asks about the number of oxygen atoms in one molecule of ozone. To answer this, we need to recall the chemical formula for ozone.
Therefore, one molecule of ozone contains 3 atoms of oxygen.
A) 3 is the correct answer because the chemical formula for ozone is \(O_3\), which clearly indicates three oxygen atoms per molecule.
The question asks to identify the two states that are located on the Coromandel Coast of India. This requires knowledge of the geographical divisions of the Indian coastline.
Correct Option: D) Tamil Nadu and Andhra Pradesh. These two states share the coastline known as the Coromandel Coast, which is famous for its distinct geographical features and historical significance.
To solve this problem, we need to recall the formula for the volume of a sphere. We will then calculate the volume of the original sphere and the new sphere (with doubled radius) and find the ratio between them.
The term \(\frac{4}{3} \pi r^3\) cancels out from the numerator and the denominator:
\[ \frac{V_{\text{new}}}{V_{\text{original}}} = 8 \]A) 8 : 1 is the correct ratio, as calculated above.
The question asks about the location of a specific conference, the 5th India Nuclear New Build Congress, held in May 2019. This is a factual recall question related to current affairs or general knowledge about significant events.
Correct Option: B) The 5th India Nuclear New Build Congress conference was organised in Mumbai in May 2019. This event brought together stakeholders from the nuclear energy sector to discuss new build projects and advancements in nuclear technology in India.