Quick and Easy Number System Hacks in Hindi: Math short trick in Hindi
Number System ट्रिक्स इन हिंदी
If you want to learn short tricks of number system in Hindi as well as English language for solving in very short time. These tricks is also very useful for those candidates who want to crack many competitive exams of national and state level. In this article we also share some definitions, most important and frequently asked questions in previous year examinations.
Introduction:
Natural number (प्राकृतिक संख्या) :-
The numbers in which counting is done, is known as Nature numbers.
For example: 1 2 3 4 5 …………..etc are natural numbers.
Whole number (पूर्ण संख्या) :-
Prime number (अभाज्य सँख्या) :-
The numbers grater then 1, which is only divisible by it self or by 1 is known is Prime numbers.
For example:2 3 5 7…………….etc are prime numbers.
Composite number (समग्र संख्या) :-
Co-prime number :-
Prime triplet number :-
Most Important questions (asked in Exams)
|
Ex. 1
|
The sum of two numbers is 184. If one-third of the
one exceeds one-seventh of the other by 8, find the smaller number. दो संख्याओ
का योग 184 है। यदि पहली संख्या का 1/3 दूसरी संख्या के 1/7 से 8 ज्यादा है। छोटा नंबर ज्ञात करो। |
|
Sol.
|
Let the numbers be x and (184 — x). Then,
x/3 – (184-x)/7 = 8
7x-3(184-x) = 168
lOx = 720 x = 72.
So, the numbers are 72 and 112. Hence, smaller number =
72. |
|
Ex. 2.
|
The difference of two numbers is 11 and one-fifth of
their sum is 9. Find the numbers. दो नुंबरों का अंतर 11 है तथा दोनो नंबर्स के 1/5 का योग 9 है। नंबर्स ज्ञात करो
|
|
Sol.
|
Let the numbers be x and y. Then.
x—y=11 …(i)
and (X+y)x 1/5=9
x+y=45
Adding (i) and (ii), we get : 2x = 56 or x = 28. Putting x = 28 in
(i), we get: y = 17. Hence, the numbers are 28 and 17.
|
|
Ex. 3
|
If the sum of two numbers is 42 and their product is
437, then find the absolute difference between the numbers. दो संखायो का योग 42 है तथा उनका गुना 437 है। दोनों का अंतर ज्ञात करो।
|
|
Sol.
|
Let the numbers be x and y. Then, x+ y = 42 and xy = 437.
x—y = {(x÷y)^2 – 4xy}^1/2 = {(42)^2 – 4×437}^1/2 = 4.
Required difference = 4.
|
|
Ex 4
|
The average of four consecutive even numbers is 27.
Find the largest of these। 4 एक के बाद एक सम संखायो का औसत 27 है। बड़ा नंबर ज्ञात करो।
|
|
Sol.
|
Let the four consecutive even numbers be x, x + 2, x + 4 and x + 6.
Then, sum of these numbers = (27 x 4) = 108.
So,x+ (x+2)+(x+4)+(x+ 6)= 108 or 4x= 96 or x=24.
Largest number = (x + 6) = 30
|
|
Ex. 5.
|
The sum of the squares of three consecutive odd
numbers is 2531. Find the numbers. 3 एक के बाद एक विषम्न संखयाओ के वर्गो का योग 2531 है। नंबर ज्ञात करो।
|
|
Sol
|
Let the numbers be x x + 2 and x + 4.
Then, x^2 + (x + 2)^2 + (x + 4)^2 = 2531
3x^2 + 12x — 2511 = 0
x^2 + 4x—837=0
(x—27)(x+31)=0
x=7.
Hence, the required numbers are 27, 29 and 31.
|
|
Ex. 6
|
Of two numbers, 4 times the smaller one is less than 3 times the
larger one by 5. If the sum of the numbers is larger than 6 times their difference by 6, find the two numbers.
दोनुंबेर्स
मे से , चोटी संख्या बड़ी से 3 गुना ठठा बड़ी संख्या चोटी से 4 गुना तथा 5 ज्यादा है। यदि उनका योग टहठा उनके अंतर का अन्तर 6 है। दोनों नंबर्स ज्ञात करो। |
|
Sol
|
. Let the numbers be x and y, such that x> y.
Then, 3x — 4y = 5 …(i)
and (x + y) — (x — y) = 6
= — 5x + 7y = 6 …(ii)
Solving (i) and (ii), we get : x = 59 and y = 43.
Hence, the required numbers are 59 and 43.
|
Rational number :-
Positive and Negative integers :-
Real numbers :-
Imaginary numbers :-
The numbers which is not real is called imaginary numbers.
Solved questions
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More Maths Short Tricks for Competitive Exam
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S. No.
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Chapter Name
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ü Click to Download Maths Short Tricks
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YouTube Video
|
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1
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सरलीकरण Simplification
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2
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Area, Volume, Perimeter क्षेत्रफल आयतन, परिमाप
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3
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Square and Cube वर्ग , घन
|
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4
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Number Series संख्या श्रेणी
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5
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Comparison of Fractions परिमेय संख्या
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6
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Number System संख्या प्रणाली
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7
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LCM HCF लघुत्तम समापवर्त्य विधि एवं महत्तम समापवर्त्य
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8
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Ratio Proportion अनुपातऔर समानुपात
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9
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Age आयु संबंधी प्र्शन
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10
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Mixture and Alligation मिश्रण
|
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11
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Percentage प्रतिशत
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12
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Time and Work कार्य और समय
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13
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Time, Distance and Speed
चाल, दूरी और समय
|
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14
|
Average औसत
|
||
|
15
|
Partnership साझेदारी Problems
|
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16
|
Profit , Loss and Discount लाभ, हानि और छूट ( बट्टा )
|
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17
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Simple Interest साधारण ब्याज
|
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18
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Compound Interest कंपाउंड इंटरेस्ट चक्रवृद्धि ब्याज
|
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19
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Work and Time Question | कार्य और समय
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20
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Mensuration क्षेत्रमिति
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Number System ट्रिक्स इन हिंदी
If you want to learn short tricks of number system in Hindi as well as English language for solving in very short time. These tricks is also very useful for those candidates who want to crack many competitive exams of national and state level. In this article we also share some definitions, most important and frequently asked questions in previous year examinations.
Introduction:
Natural number (प्राकृतिक संख्या) :-
The numbers in which counting is done, is known as Nature numbers.
For example: 1 2 3 4 5 …………..etc are natural numbers.
Whole number (पूर्ण संख्या) :-
Prime number (अभाज्य सँख्या) :-
The numbers grater then 1, which is only divisible by it self or by 1 is known is Prime numbers.
For example:2 3 5 7…………….etc are prime numbers.
Composite number (समग्र संख्या) :-
Co-prime number :-
Prime triplet number :-
Most Important questions (asked in Exams)
|
Ex. 1
|
The sum of two numbers is 184. If one-third of the
one exceeds one-seventh of the other by 8, find the smaller number. दो संख्याओ
का योग 184 है। यदि पहली संख्या का 1/3 दूसरी संख्या के 1/7 से 8 ज्यादा है। छोटा नंबर ज्ञात करो। |
|
Sol.
|
Let the numbers be x and (184 — x). Then,
x/3 – (184-x)/7 = 8
7x-3(184-x) = 168
lOx = 720 x = 72.
So, the numbers are 72 and 112. Hence, smaller number =
72. |
|
Ex. 2.
|
The difference of two numbers is 11 and one-fifth of
their sum is 9. Find the numbers. दो नुंबरों का अंतर 11 है तथा दोनो नंबर्स के 1/5 का योग 9 है। नंबर्स ज्ञात करो
|
|
Sol.
|
Let the numbers be x and y. Then.
x—y=11 …(i)
and (X+y)x 1/5=9
x+y=45
Adding (i) and (ii), we get : 2x = 56 or x = 28. Putting x = 28 in
(i), we get: y = 17. Hence, the numbers are 28 and 17.
|
|
Ex. 3
|
If the sum of two numbers is 42 and their product is
437, then find the absolute difference between the numbers. दो संखायो का योग 42 है तथा उनका गुना 437 है। दोनों का अंतर ज्ञात करो।
|
|
Sol.
|
Let the numbers be x and y. Then, x+ y = 42 and xy = 437.
x—y = {(x÷y)^2 – 4xy}^1/2 = {(42)^2 – 4×437}^1/2 = 4.
Required difference = 4.
|
|
Ex 4
|
The average of four consecutive even numbers is 27.
Find the largest of these। 4 एक के बाद एक सम संखायो का औसत 27 है। बड़ा नंबर ज्ञात करो।
|
|
Sol.
|
Let the four consecutive even numbers be x, x + 2, x + 4 and x + 6.
Then, sum of these numbers = (27 x 4) = 108.
So,x+ (x+2)+(x+4)+(x+ 6)= 108 or 4x= 96 or x=24.
Largest number = (x + 6) = 30
|
|
Ex. 5.
|
The sum of the squares of three consecutive odd
numbers is 2531. Find the numbers. 3 एक के बाद एक विषम्न संखयाओ के वर्गो का योग 2531 है। नंबर ज्ञात करो।
|
|
Sol
|
Let the numbers be x x + 2 and x + 4.
Then, x^2 + (x + 2)^2 + (x + 4)^2 = 2531
3x^2 + 12x — 2511 = 0
x^2 + 4x—837=0
(x—27)(x+31)=0
x=7.
Hence, the required numbers are 27, 29 and 31.
|
|
Ex. 6
|
Of two numbers, 4 times the smaller one is less than 3 times the
larger one by 5. If the sum of the numbers is larger than 6 times their difference by 6, find the two numbers.
दोनुंबेर्स
मे से , चोटी संख्या बड़ी से 3 गुना ठठा बड़ी संख्या चोटी से 4 गुना तथा 5 ज्यादा है। यदि उनका योग टहठा उनके अंतर का अन्तर 6 है। दोनों नंबर्स ज्ञात करो। |
|
Sol
|
. Let the numbers be x and y, such that x> y.
Then, 3x — 4y = 5 …(i)
and (x + y) — (x — y) = 6
= — 5x + 7y = 6 …(ii)
Solving (i) and (ii), we get : x = 59 and y = 43.
Hence, the required numbers are 59 and 43.
|
Rational number :-
Positive and Negative integers :-
Real numbers :-
Imaginary numbers :-
The numbers which is not real is called imaginary numbers.
Solved questions