GK: Class 12 General Q&A · Page 53
3,658 free answers on GK (General) for Class 12 students, across CBSE, ICSE and State boards.
Question & Answer
Questions
- GeneralClass 12All
What is this number called 1000000000000000000000000
The number 1,000,000,000,000,000,000,000,000 (1 followed by 24 zeros) is called one septillion in the short scale system used in the United States and modern British English. This equals 10²⁴ in scientific notation. In the long scale system historically used in Britain and still common in some European countries, this same number would be called one quadrillion, highlighting the importance of clarifying which naming convention is being used in international contexts. To grasp the
- GeneralClass 12All
Is 619 a lucky number
Whether 619 is considered "lucky" depends entirely on which definition of lucky numbers you're using, as the term has multiple meanings across different cultural and mathematical contexts. In mathematics, "lucky numbers" refer to a specific sequence (1, 3, 7, 9, 13, 15, 21, 25...) generated by a sieving process similar to the Sieve of Eratosthenes used for primes. Using this mathematical definition, 619 is indeed a lucky number—it survives the sieving process that removes numbers at pos
- GeneralClass 12All
How big is 1 sexdecillion
One sexdecillion equals 10⁵¹, or 1 followed by 51 zeros, in the short scale naming system used in the United States and modern British English. This number is incomprehensibly large compared to anything we encounter in daily life, dwarfing even astronomical quantities—for perspective, the estimated number of atoms in Earth is around 10⁵⁰, making a sexdecillion roughly ten times that amount. In the long scale system historically used in Britain and still common in many European coun
- GeneralClass 12All
Is 12345678910987654321 prime
The number 12,345,678,910,987,654,321 is not a prime number—it's composite. This aesthetically pleasing number, which counts up from 1 to 10 and then back down (1-2-3-4-5-6-7-8-9-10-9-8-7-6-5-4-3-2-1), might seem like it could have special properties, but it factors into smaller numbers. Specifically, this number is divisible by 3, which you can verify using the divisibility rule: sum all the digits (1+2+3+4+5+6+7+8+9+1+0+9+8+7+6+5+4+3+2+1 = 90), and since 90 is divisible by 3, the enti
- GeneralClass 12All
Is 2099 prime
The number 2099 is not a prime number—it's composite and can be factored as 7 × 11 × 11 × 11, or more concisely, 7 × 11³. This means 2099 has multiple divisors beyond 1 and itself, specifically: 1, 7, 11, 77, 121, 847, 1331, and 2099. The factorization reveals an interesting structure where three copies of the prime 11 appear, making 2099 equal to 7 times 1331 (where 1331 is 11 cubed). You can verify that 2099 isn't prime through several methods: div
- GeneralClass 12All
What is the 1000000000000 th prime number
The one trillionth (1,000,000,000,000th) prime number is approximately 29,996,224,275,833, calculated through advanced computational methods and mathematical approximations. This specific value demonstrates how primes continue indefinitely but become increasingly sparse as numbers grow larger. Computing the exact trillionth prime requires either generating all primes up to that point (computationally intensive) or using sophisticated approximations based on the Prime Number Theorem, which sta
- GeneralClass 12All
Is 33,550,336 a perfect number
Yes, 33,550,336 is indeed a perfect number—specifically, it's the fifth perfect number ever discovered. A perfect number is defined as a positive integer that equals the sum of its proper divisors (all divisors excluding the number itself). For 33,550,336, when you add up all its divisors from 1 through 16,775,168, they sum exactly to 33,550,336. This number is intrinsically connected to Mersenne primes: it equals 2¹² × (2¹³ - 1), where 2¹³ - 1 = 8191
- GeneralClass 12All
How big is Sextillion
A sextillion in the short scale system (standard in the United States) equals 10²¹, or 1 followed by 21 zeros: 1,000,000,000,000,000,000,000. This number enters the realm of astronomical scales—the estimated number of stars in the observable universe is approximately 10²⁴, making a sextillion about one-thousandth of that total. To put it in more relatable terms, if you had a sextillion dollars and spent one million dollars every single day, it would take you approximately
- GeneralClass 12All
Why is 9 not a prime
Nine is not a prime number because it has divisors other than 1 and itself—specifically, 9 can be divided evenly by 3, since 9 = 3 × 3. By definition, a prime number must have exactly two distinct positive divisors: 1 and the number itself. Since 9 has three divisors (1, 3, and 9), it fails this requirement and is classified as a composite number. The number 9 is actually a perfect square, being 3², which automatically makes it composite since any perfect square greater than
- GeneralClass 12All
What number has 666 zeros
A number with 666 zeros would be written as 1 followed by 666 zeros, mathematically expressed as 10⁶⁶⁶. This number doesn't have a standard name in conventional naming systems like million, billion, or trillion. Using the systematic naming convention, numbers are named based on powers of 1000: million (10⁶), billion (10⁹), trillion (10¹²), and so on, with each step adding three zeros. Since 666 is divisible by 3 (666 ÷ 3 = 222), this number would technically be 1000²&sup
- GeneralClass 12All
Is 6089 a prime
Yes, 6089 is a prime number, meaning it has no positive divisors other than 1 and itself. To verify this, you would need to test divisibility by all primes up to √6089, which is approximately 78. Testing shows that 6089 is not divisible by 2 (it's odd), not divisible by 3 (digit sum is 23, not divisible by 3), and fails divisibility tests for all other primes including 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, and 73. Prime numbers like 6089 become in
- GeneralClass 12All
Is Belphegor a fallen angel
In traditional Christian and Jewish demonology, Belphegor is indeed classified as a fallen angel or demon, specifically associated with sloth and laziness among the seven deadly sins. According to various medieval and Renaissance occult texts, Belphegor was originally an angel who fell from grace and became one of the princes of Hell. The name appears in different forms across various religious and mythological traditions, with Belphegor sometimes depicted as a demon who tempts people through
- GeneralClass 12All
How are million, billion, trillion named
Million, billion, and trillion are named using a systematic approach based on Latin numerical prefixes, though two different systems exist: the short scale and the long scale. In the short scale system (used in the United States and modern British English), each new term represents 1,000 times the previous one: million (10⁶), billion (10⁹), trillion (10¹²), quadrillion (10¹⁵), and so on. The names derive from Latin roots: "bi-" for two (billion = million²), "tri-" for thre
- GeneralClass 12All
What does 1 octillion look like
One octillion in the short scale system (used in the United States) equals 10²⁷, or 1 followed by 27 zeros: 1,000,000,000,000,000,000,000,000,000. This number is so incomprehensibly large that it exceeds most quantities encountered even in astronomy and physics. For perspective, the estimated number of stars in the observable universe is around 10²⁴ (1 septillion), making an octillion roughly 1,000 times that amount. If you tried to count to one octillion at a rate of one number per
- GeneralClass 12All
Is 1000000000000066600000000000001 a prime
The number 1,000,000,000,000,066,600,000,000,000,001 (10²⁷ + 666 × 10¹⁴ + 1) is indeed a prime number, often referred to as "Belphegor's Prime." This number gained attention among mathematics enthusiasts because of its intriguing palindromic structure: it features the number 666 (sometimes associated with symbolic or cultural significance) surrounded symmetrically by thirteen zeros on each side and bookended by ones. The palindromic property means it reads the same forwards an
- GeneralClass 12All
Is 170141183460469231731687303715884105727 prime number
The number 170,141,183,460,469,231,731,687,303,715,884,105,727 is indeed a prime number, known as a Mersenne prime and specifically designated as M₁₂₇. This number equals 2¹²⁷ - 1, making it the largest Mersenne prime discovered before the advent of modern computing. Mersenne primes follow the form 2ᵖ - 1 where p itself must be prime, and they're particularly significant in number theory and have practical applications in computer science, including random number generation and cryp
- GeneralClass 12All
What is the future of Earth
Earth's future depends critically on the choices humanity makes in the coming decades regarding climate action, resource management, and ecosystem protection. Scientific projections indicate that without significant reductions in greenhouse gas emissions, the planet will experience accelerating climate change with consequences including rising sea levels, more frequent extreme weather events, disrupted agricultural systems, and widespread species extinctions. However, the future is not predet
- GeneralClass 12All
Why is 37 so special
The number 37 holds multiple fascinating mathematical properties that make it genuinely special among integers. First, it's a prime number, but more remarkably, it's part of a rare class where both 37 and its reverse, 73, are prime—and 37 is the 12th prime while 73 is the 21st prime, with 12 and 21 themselves being reverses. Additionally, 37 appears in numerous multiplication patterns: multiply any three-digit number consisting of the same repeated digit (like 111, 222, 333) by 3, and y
- GeneralClass 12All
22 अप्रैल को क्या खास है
22 अप्रैल पृथ्वी दिवस के वार्षिक उत्सव के रूप में विशेष है, जो दुनिया की सबसे बड़ी पर्यावरणीय घटना है जो वैश्विक स्तर पर एक अरब से अधिक लोगों को संलग्न करती है। इस तिथि को 1970 में पहले पृथ्वी दिवस के लिए रणनीतिक रूप से चुना गया था क्योंकि यह अमेरिकी कॉलेजों में वसंत अवकाश और अंतिम परीक्षाओं के बीच आती है, छात्र भागीदारी को अधिकतम करती है। इसके अतिरिक्त, समय उत्तरी गोलार्ध में वसंत के साथ मेल खाता है, जब प्रकृति का नवीनीकरण पर्यावरणीय विषयों को विशेष रूप से प्रासंगिक और दृश्यमान बनाता है।
- GeneralClass 12All
Is 0 the first number or 1
Whether 0 or 1 is considered the "first" number depends entirely on context and which number system you're using. In the natural numbers (counting numbers), the set traditionally begins with 1, since these numbers emerged from practical counting needs—you count one apple, two apples, and so on. However, in modern mathematics, many definitions of natural numbers now include 0 as the starting point, especially in set theory, computer science, and formal logic where zero serves as the addi