divisibility
/dɪˌvɪzəˈbɪləti/noun
उच्चारण डिविज़बिलटी
विभाज्यता
Core word
- 1
[U]
the fact of being able to be divided, especially (in mathematics) of a number being able to be divided by another number without anything left over
विभाज्यता
- the rules of divisibility by 3 and 9
- Check the divisibility of the number before you simplify the fraction.
- A simple test of divisibility shows that 123 is divisible by 3.
+ 2 more examples
- Students learn divisibility rules for 2, 5 and 10 in primary school.
- Divisibility by 4 depends on the last two digits of the number.
Opposite indivisibility
§Structures (grammar patterns) 4
divisibility (uncountable noun)
Divisibility is an uncountable noun, so it has no plural and takes no a.
'Divisibility' अगणनीय noun है, इसका बहुवचन नहीं होता और इसके साथ 'a' नहीं आता।
- Divisibility is an important topic in number theory.
- Students learn divisibility early in primary school.
divisibility of + number
Use of to name the number being tested.
जिस संख्या की जाँच हो रही है उसके लिए 'of' का प्रयोग होता है।
- The divisibility of 144 by 12 is easy to check.
- We tested the divisibility of the sum.
divisibility by + number
Use by to name the divisor.
भाजक बताने के लिए 'by' आता है।
- A number's divisibility by 3 depends on its digit sum.
- Check divisibility by 9 by adding the digits.
divisibility test
In mathematics, a divisibility test is a quick method to tell whether one number divides another exactly. Tests exist for 2, 3, 4, 5, 6, 8, 9, 10 and 11.
गणित में divisibility test एक त्वरित विधि है जिससे पता चलता है कि कोई संख्या दूसरी से पूरी तरह विभाजित होती है या नहीं।
- The divisibility test for 4 uses only the last two digits.
- A number passes the divisibility test for 6 if it is even and divisible by 3.
+Collocations 5
divisibility + noun
testtestsconditionpropertychart
- A divisibility test saves time in a competitive exam.
check / test / prove + divisibility
checktestproveestablishshow
- Radhika used digit sums to check divisibility by 3.
divisibility by
by 2by 3by 5by 9by 11
- Divisibility by 5 is shown by a last digit of 0 or 5.
exam topic
number systemquantitative aptituderemainderfactormultiple
- Divisibility questions appear in quantitative aptitude papers.
divisibility + of
of a numberof the sumof the productof the difference
- The divisibility of the sum by 3 was easy to prove.
“More examples 6
- Divisibility by 2 depends on whether the last digit is even.
2 से विभाज्यता इस बात पर निर्भर करती है कि अंतिम अंक सम है या नहीं।
- The teacher showed a shortcut for divisibility by 11.
शिक्षक ने 11 से विभाज्यता की एक shortcut विधि दिखाई।
- Knowing divisibility helps to simplify large fractions.
विभाज्यता जानने से बड़े भिन्नों को सरल करने में मदद मिलती है।
- Divisibility tests are very useful in SSC quantitative sections.
SSC के quantitative भागों में divisibility tests बहुत उपयोगी हैं।
- She proved the divisibility of the number by 9 in one step.
उसने एक ही चरण में सिद्ध कर दिया कि संख्या 9 से विभाज्य है।
- The divisibility of a number by 10 can be seen from its last digit alone.
किसी संख्या की 10 से विभाज्यता उसके केवल अंतिम अंक से देखी जा सकती है।
!Common mistakes 2
✗ The divisibility of 36 with 4 is clear.
✓ The divisibility of 36 by 4 is clear.
The divisor follows by, not with.
भाजक के साथ 'by' आता है, 'with' नहीं।
✗ There are many divisibilities in this chapter.
✓ There are many divisibility tests in this chapter.
Divisibility is uncountable; use divisibility tests for the plural idea.
'Divisibility' अगणनीय है; बहुवचन भाव के लिए 'divisibility tests' लिखें।
≈Synonyms and antonyms
Antonyms
AaSpelling
d·i·v·i·s·i·b·i·l·i·t·y
With -ible- becoming -ibility (not 'divisability').
Spelling d-i-v-i-s-i-b-i-l-i-t-y है, जिसमें -ible- बदलकर -ibility होता है ('divisability' गलत है)।