Complete Maths Notes Class 9/10/11/12 In Hindi PDF
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Vadic Mathematics Tricks
1. Squaring Of A Number Whose Unit Digit Is 5
For example Find (55) ² =?
Step 1. 55 x 55 = . . 25 (end terms)
Step 2. 5x (5+1) = 30
2. Multiply a Number By 5
Even Number:
2464 x 5 =?
Step 1. 2464 / 2 = 1232
Step 2. add 0
The answer will be 2464 x 5 = 12320
Odd Number:
3775 x 5
Step 1. Odd number; so ( 3775 – 1) / 2 = 1887
Step 2. As it is an odd number, so instead of 0 we will put 5
The answer will be 3775 x 5 = 18875
Time to check your knowledge:
Now try —- 1234 x 5, 123 x 5
So our answer will be 3025.
3. Subtraction From 1000, 10000, 100000
For example:
1000 – 573 =? (Subtraction from 1000)
We simply subtract each figure in 573 from 9 and then subtract the last figure from 10.
Step 1. 9 – 5 = 4
Step 2. 9 – 7 = 2
Step 3. 10 – 3 = 7
So, the answer is: (1000 – 573) = 427
4. Multiplication Of Any 2-digit Numbers (11 – 19)
There are 4 steps to get the result:
Step 1. Add the unit digit of the smaller number to the larger number.
Step 2. Next, multiply the result by 10.
Step 3. Now, multiply the unit digits of both the 2-digit numbers.
Step 4. Then add both the numbers.
For example: Let’s take two numbers 13 & 15.
Step 1. 15 + 3 =18.
Step 2. 18*10 = 180.
Step 3. 3*5 = 15
Step 4. Add the two numbers, 180+15 and the answer is 195.
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Maths Question Answer
Q.1. एक रेल गाड़ी 45 किमी./ घं. की चाल से चल रही है तथा एक आदमी 5 किमी./घं की चाल से विपरीत दिशा में पैदल चल रहा है | यदि रेलगाड़ी आदमी को 18 सेकण्ड़ में पार करती है, तो रेलगाड़ी की लम्बाई होगी ?
A. 234 मीटर
B. 286 मीटर
C. 250 मीटर
D. 252 मीटर
[bg_collapse view=”button-green” color=”#4a4949″ expand_text=”Show Answer” collapse_text=”Hide Answer” ] उत्तर: C. [/bg_collapse]
Q.2. 171 मीटर लम्बी रेलगाड़ी 45 किमी प्रति घंटा की चाल से 229 मीटर लम्बे पूल को कितने समय में पार करेगी?
A. 32 सैकंड
B. 30 सैकंड
C. 35 सैकंड
D. 40 सैकंड
[bg_collapse view=”button-green” color=”#4a4949″ expand_text=”Show Answer” collapse_text=”Hide Answer” ] उत्तर: A. [/bg_collapse]
Q.3. 125 मीटर लंबी रेलगाड़ी अपने 60 किमी प्रति घंटा की चाल से चलकर एक पुल को 30 सेकंड में पार करती है पुल की लम्बाई है
A. 125 मीटर
B. 375 मीटर
C. 225 मीटर
D. इनमे से कोई नहीं
[bg_collapse view=”button-green” color=”#4a4949″ expand_text=”Show Answer” collapse_text=”Hide Answer” ] उत्तर: B. [/bg_collapse]
(A) 20 सैकंड(B) 25 सैकंड(C) 35 सैकंड(D) 30 सैकंड[bg_collapse view=”button-green” color=”#4a4949″ expand_text=”Show Answer” collapse_text=”Hide Answer” ] उत्तर: D.[/bg_collapse]
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Q.5. एक रेलगाड़ी एक बिजली के खम्भे को 5 सेकण्ड में पार कर जाती है तथा एक 600 मीटर लम्बे पूल को 35 सेकंड में पार कर लेती है रेलगाड़ी की चाल कितनी है ?
A. 72 किमी/घंटा
B. 40 किमी/घंटा
C. 50 किमी/घंटा
D. 20 किमी/घंटा
[bg_collapse view=”button-green” color=”#4a4949″ expand_text=”Show Answer” collapse_text=”Hide Answer” ] उत्तर: A. [/bg_collapse]
Q.6 एक 240 मीटर/लम्बी रेलगाड़ी एक प्लेटफार्म को २० सेकंड में पार लार जाती है। रेलगाड़ी की चाल कितनी है ?
A.10 मीटर/प्रति सेकंड
B. 18 मीटर/प्रति सेकंड
C. निर्धारित नहीं किया जा सकता
D. इनमे से कोई नहीं
[bg_collapse view=”button-green” color=”#4a4949″ expand_text=”Show Answer” collapse_text=”Hide Answer” ] उत्तर: D. [/bg_collapse]
Q.7. 108 किमी/घंटा की चाल से जा रही 240 मीटर लम्बी रेलगाड़ी एक प्लेटफॉर्म को 20 सैकंड में पार कर जाती है। एक व्यक्ति इसी प्लेटफॉर्म को 5 मिनट में पार करता है। उस व्यक्ति की चाल कितनी है ?
A. 1.8 मीटर/प्रति सेकंड
B. 1.6 मीटर/प्रति सेकंड
C. 2.2 मीटर/प्रति सेकंड
D. 1.2 मीटर/प्रति सेकंड
[bg_collapse view=”button-green” color=”#4a4949″ expand_text=”Show Answer” collapse_text=”Hide Answer” ] उत्तर: D. [/bg_collapse]
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