Home
Search
Search Class 10 Questions
7 results found for "large square" in all classes.
\(998^2\) का सही मान क्या है?
What is the correct value of \(998^2\)?
#large square
#mental calculation
#identity
A (996004) / सही मान
B (998004) / मध्य पद गलत
C (1000004) / चिह्न गलत
D (996000) / अंतिम वर्ग नहीं
Explanation opens after your attempt
Correct Answer
A. (996004) / सही मान
Step 1
Concept
\(998^2=1000000-4000+4=996004\). Exam tip: subtract \(2\cdot1000\cdot2\).
Step 2
Why this answer is correct
The correct answer is A. (996004) / सही मान. \(998^2=1000000-4000+4=996004\). Exam tip: subtract \(2\cdot1000\cdot2\).
Step 3
Exam Tip
\(998^2=1000000-4000+4=996004\) है। परीक्षा में \(2\cdot1000\cdot2\) घटाएँ।
Login to save your score, XP, coins and progress. Login
\( 998^2 \) का मान ( (1000-2)2 ) से क्या होगा?
What is the value of \( 998^2 \) using ( (1000-2)2 )?
#large square
#minus identity
#numeric
A (996004)
B (998004)
C (1000004)
D (996000)
Explanation opens after your attempt
Correct Answer
A. (996004)
Step 1
Concept
( (1000-2)2 =1000000-4000+4=996004 ). Exam tip: keep the subtracted middle term correct.
Step 2
Why this answer is correct
The correct answer is A. (996004). ( (1000-2)2 =1000000-4000+4=996004 ). Exam tip: keep the subtracted middle term correct.
Step 3
Exam Tip
( (1000-2)2 =1000000-4000+4=996004 ) है। परीक्षा में घटने वाले मध्य पद को सही रखें।
Login to save your score, XP, coins and progress. Login
\( 503^2+497^2 \) को पहचान से निकालने पर मान क्या होगा?
Using identity, what is the value of \( 503^2+497^2 \)?
#sum identity
#numerical shortcut
#large squares
A (500018)
B (500009)
C (500000)
D (499982)
Explanation opens after your attempt
Correct Answer
A. (500018)
Step 1
Concept
Treat it as ( (500+3)2 +(500-3)2 ). It gives \(2\cdot500^2+2\cdot3^2=500018\).
Step 2
Why this answer is correct
The correct answer is A. (500018). Treat it as ( (500+3)2 +(500-3)2 ). It gives \(2\cdot500^2+2\cdot3^2=500018\).
Step 3
Exam Tip
इसे ( (500+3)2 +(500-3)2 ) मानें। \(2\cdot500^2+2\cdot3^2=500018\) मिलता है।
Login to save your score, XP, coins and progress. Login
\( 1004^2-996^2 \) का मान क्या है?
What is the value of \( 1004^2-996^2 \)?
#difference of squares
#large numbers
#mental math
A (16000)
B (8000)
C (4000)
D (12000)
Explanation opens after your attempt
Correct Answer
A. (16000)
Step 1
Concept
Using (a-2 -b-2 =(a+b)(a-b)), \(2000\cdot8=16000\). Exam tip: do not calculate both large squares separately.
Step 2
Why this answer is correct
The correct answer is A. (16000). Using (a-2 -b-2 =(a+b)(a-b)), \(2000\cdot8=16000\). Exam tip: do not calculate both large squares separately.
Step 3
Exam Tip
(a-2 -b-2 =(a+b)(a-b)) से \(2000\cdot8=16000\) है। परीक्षा में बड़े वर्ग अलग-अलग न निकालें।
Login to save your score, XP, coins and progress. Login
\( 997^2 \) का मान क्या है?
What is the value of \( 997^2 \)?
#large square
#mental calculation
#identity
A (994009) / सही मान
B (997009) / मध्य पद गलत
C (1000009) / चिह्न गलत
D (994000) / अंतिम वर्ग नहीं
Explanation opens after your attempt
Correct Answer
A. (994009) / सही मान
Step 1
Concept
\(997^2=1000000-6000+9=994009\). Exam tip: subtract \(2\cdot1000\cdot3\).
Step 2
Why this answer is correct
The correct answer is A. (994009) / सही मान. \(997^2=1000000-6000+9=994009\). Exam tip: subtract \(2\cdot1000\cdot3\).
Step 3
Exam Tip
\(997^2=1000000-6000+9=994009\) है। परीक्षा में \(2\cdot1000\cdot3\) घटाएँ।
Login to save your score, XP, coins and progress. Login
\( 54^2-46^2 \) को जल्दी कैसे सरल किया जा सकता है?
How can \( 54^2-46^2 \) be simplified quickly?
#difference of squares
#numerical simplification
#54 46
A ( (54+46)(54-46) ) / वर्गों का अंतर
B ( (54-46)2 ) / केवल अंतर का वर्ग
C (54+46) / केवल योग
D \(54^2+46^2\) / वर्गों का योग
Explanation opens after your attempt
Correct Answer
A. ( (54+46)(54-46) ) / वर्गों का अंतर
Step 1
Concept
This is (a-2 -b-2 =(a+b)(a-b)). Exam tip: use this identity in difference of large squares.
Step 2
Why this answer is correct
The correct answer is A. ( (54+46)(54-46) ) / वर्गों का अंतर. This is (a-2 -b-2 =(a+b)(a-b)). Exam tip: use this identity in difference of large squares.
Step 3
Exam Tip
यह (a-2 -b-2 =(a+b)(a-b)) है। परीक्षा में बड़े वर्गों के अंतर में यह पहचान लगाएँ।
Login to save your score, XP, coins and progress. Login
\( 1002^2 \) निकालने के लिए (1002) को किस रूप में लिखना अच्छा है?
To calculate \(1002^2\), how is it good to write (1002)?
#large square
#1002 square
#identity method
A (1000-2)
B (100+2)
C (1000+2)
D (10+2)
Explanation opens after your attempt
Correct Answer
C. (1000+2)
Step 1
Concept
(1002=1000+2), so ( (a+b)2 ) becomes easy. Exam tip: choose a nearby round number.
Step 2
Why this answer is correct
The correct answer is C. (1000+2). (1002=1000+2), so ( (a+b)2 ) becomes easy. Exam tip: choose a nearby round number.
Step 3
Exam Tip
(1002=1000+2) है, इसलिए ( (a+b)2 ) आसान बनेगा। परीक्षा में पास की गोल संख्या चुनें।
Login to save your score, XP, coins and progress. Login
Student Class Required
Select your class first
Quiz questions, daily challenge and practice pages will open according to your selected class. Class 11/12 ke liye stream bhi select karein.
