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Class 9 Mathematics - Number Systems - Proof of irrationality of square root 2 and square root 3 Expert Quiz

Mathematics Number Systems Proof of irrationality of square root 2 and square root 3 Expert Class 9 Level 7

Level 7 • 50/50 questions • 25 seconds per question.

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Question 1/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -0.0008 ) और ( -0.00008 ) में कौन बड़ा है

Which is greater ( -0.0008 ) or ( -0.00008 )

Explanation opens after your attempt
Correct Answer

B. ( -0.00008 )

Explanation

Simple Explanation

-0.00008 शून्य के अधिक निकट है इसलिए बड़ा है / -0.00008 is closer to zero so it is greater

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Question 2/50 Expert Mathematics Number Systems Number line Class 9 Level 7

\( -\frac{5}{9} \) और ( -0.56 ) में कौन बड़ा है

Which is greater \( -\frac{5}{9} \) or ( -0.56 )

Explanation opens after your attempt
Correct Answer

B. ( -0.56 )

Explanation

Simple Explanation

\( -\frac{5}{9} \approx -0.5556 \) इसलिए बड़ा है / -5/9 is approximately -0.5556 so it is greater

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Question 3/50 Expert Mathematics Number Systems Number line Class 9 Level 7

\( \frac{7}{12} \) और ( 0.58 ) में कौन बड़ा है

Which is greater \( \frac{7}{12} \) or ( 0.58 )

Explanation opens after your attempt
Correct Answer

B. \( \frac{7}{12} \)

Explanation

Simple Explanation

\( \frac{7}{12} \approx 0.583 \) इसलिए बड़ा है / 7/12 is approximately 0.583 so greater

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Question 4/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -0.0302 ) और ( -0.03 ) में कौन बड़ा है

Which is greater ( -0.0302 ) or ( -0.03 )

Explanation opens after your attempt
Correct Answer

B. ( -0.03 )

Explanation

Simple Explanation

-0.03 शून्य के अधिक निकट है इसलिए बड़ा है / -0.03 is closer to zero so it is greater

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Question 5/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -35 ) और ( 18 ) का मध्य बिंदु क्या है

What is midpoint of ( -35 ) and ( 18 )

Explanation opens after your attempt
Correct Answer

B. ( -8.5 )

Explanation

Simple Explanation

औसत लेने पर -8.5 मिलता है / Average gives -8.5

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Question 6/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -19 ) और ( -7 ) के बीच दूरी क्या है

What is distance between ( -19 ) and ( -7 )

Explanation opens after your attempt
Correct Answer

B. ( 12 )

Explanation

Simple Explanation

दूरी 12 होती है / Distance is 12

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Question 7/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -2.125 ) और ( -2.12 ) में कौन छोटा है

Which is smaller ( -2.125 ) or ( -2.12 )

Explanation opens after your attempt
Correct Answer

B. ( -2.125 )

Explanation

Simple Explanation

-2.125 अधिक ऋणात्मक है इसलिए छोटा है / -2.125 is more negative so smaller

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Question 8/50 Expert Mathematics Number Systems Number line Class 9 Level 7

\( -\frac{11}{6} \) और ( -1.8 ) में कौन बड़ा है

Which is greater \( -\frac{11}{6} \) or ( -1.8 )

Explanation opens after your attempt
Correct Answer

B. \( -\frac{11}{6} \)

Explanation

Simple Explanation

\( -\frac{11}{6} \approx -1.833 \) इसलिए छोटा है / -11/6 is approximately -1.833 so smaller

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Question 9/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( 0 ) और \( -\frac{5}{10000} \) में कौन बड़ा है

Which is greater ( 0 ) or \( -\frac{5}{10000} \)

Explanation opens after your attempt
Correct Answer

B. ( 0 )

Explanation

Simple Explanation

0 सभी ऋणात्मक से बड़ा होता है / Zero is greater than negatives

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Question 10/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -13 ) और ( 5 ) का मध्य बिंदु क्या है

What is midpoint of ( -13 ) and ( 5 )

Explanation opens after your attempt
Correct Answer

B. ( -3.5 )

Explanation

Simple Explanation

औसत लेने पर -4 मिलता है / Average gives -4

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Question 11/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -0.909 ) और ( -0.9 ) में कौन छोटा है

Which is smaller ( -0.909 ) or ( -0.9 )

Explanation opens after your attempt
Correct Answer

B. ( -0.909 )

Explanation

Simple Explanation

-0.909 अधिक ऋणात्मक है / -0.909 is smaller

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Question 12/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -27 ) और ( -9 ) के बीच दूरी क्या है

What is distance between ( -27 ) and ( -9 )

Explanation opens after your attempt
Correct Answer

A. ( 18 )

Explanation

Simple Explanation

दूरी 18 होती है / Distance is 18

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Question 13/50 Expert Mathematics Number Systems Number line Class 9 Level 7

\( -\frac{9}{14} \) और ( -0.64 ) में कौन बड़ा है

Which is greater \( -\frac{9}{14} \) or ( -0.64 )

Explanation opens after your attempt
Correct Answer

B. \( -\frac{9}{14} \)

Explanation

Simple Explanation

\( -\frac{9}{14} \approx -0.642 \) इसलिए छोटा है / -9/14 is approximately -0.642 so smaller

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Question 14/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -4.75 ) और ( -4.705 ) में कौन बड़ा है

Which is greater ( -4.75 ) or ( -4.705 )

Explanation opens after your attempt
Correct Answer

A. ( -4.705 )

Explanation

Simple Explanation

-4.705 शून्य के अधिक निकट है / -4.705 is closer to zero

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Question 15/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -6 ) और ( 9 ) का मध्य बिंदु क्या है

What is midpoint of ( -6 ) and ( 9 )

Explanation opens after your attempt
Correct Answer

A. ( 1.5 )

Explanation

Simple Explanation

औसत लेने पर 1.5 मिलता है / Average gives 1.5

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Question 16/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -41 ) का अगला पूर्णांक क्या है

What is successor of ( -41 )

Explanation opens after your attempt
Correct Answer

B. ( -40 )

Explanation

Simple Explanation

दाईं ओर जाने पर -40 मिलता है / Moving right gives -40

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Question 17/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( 32 ) का पूर्ववर्ती क्या है

What is predecessor of ( 32 )

Explanation opens after your attempt
Correct Answer

A. ( 31 )

Explanation

Simple Explanation

बाईं ओर जाने पर 31 मिलता है / Moving left gives 31

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Question 18/50 Expert Mathematics Number Systems Number line Class 9 Level 7

\( -\frac{13}{5} \) का परिमाण क्या है

What is absolute value of \( -\frac{13}{5} \)

Explanation opens after your attempt
Correct Answer

B. \( \frac{13}{5} \)

Explanation

Simple Explanation

परिमाण हमेशा धनात्मक होता है / Absolute value is positive

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Question 19/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -2.999 ) और ( -3.001 ) में कौन बड़ा है

Which is greater ( -2.999 ) or ( -3.001 )

Explanation opens after your attempt
Correct Answer

B. ( -2.999 )

Explanation

Simple Explanation

-2.999 शून्य के अधिक निकट है / -2.999 is closer to zero

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Question 20/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -15, -1, -10, 4, 0 ) को बढ़ते क्रम में लिखें

Arrange ( -15, -1, -10, 4, 0 ) in increasing order

Explanation opens after your attempt
Correct Answer

A. ( -15, -10, -1, 0, 4 )

Explanation

Simple Explanation

सबसे छोटा पहले आता है / Increasing order rule

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Question 21/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -0.00012 ) और ( -0.0002 ) में कौन छोटा है

Which is smaller ( -0.00012 ) or ( -0.0002 )

Explanation opens after your attempt
Correct Answer

B. ( -0.00012 )

Explanation

Simple Explanation

-0.0002 अधिक ऋणात्मक है / -0.0002 is smaller

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Question 22/50 Expert Mathematics Number Systems Number line Class 9 Level 7

\( \frac{4}{11} \) और ( 0.36 ) में कौन बड़ा है

Which is greater \( \frac{4}{11} \) or ( 0.36 )

Explanation opens after your attempt
Correct Answer

B. \( \frac{4}{11} \)

Explanation

Simple Explanation

\( \frac{4}{11} \approx 0.3636 \) इसलिए बड़ा है / 4/11 is approximately 0.3636 so greater

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Question 23/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -8 ) और ( -11 ) का मध्य बिंदु क्या है

What is midpoint of ( -8 ) and ( -11 )

Explanation opens after your attempt
Correct Answer

A. ( -9.5 )

Explanation

Simple Explanation

औसत लेने पर -9.5 मिलता है / Average gives -9.5

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Question 24/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -0.6 ) और \( -\frac{5}{8} \) में कौन बड़ा है

Which is greater ( -0.6 ) or \( -\frac{5}{8} \)

Explanation opens after your attempt
Correct Answer

A. ( -0.6 )

Explanation

Simple Explanation

\( -\frac{5}{8} = -0.625 \) इसलिए छोटा है / -5/8 equals -0.625 so smaller

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Question 25/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -70 ) और ( 25 ) के बीच दूरी क्या है

What is distance between ( -70 ) and ( 25 )

Explanation opens after your attempt
Correct Answer

A. ( 95 )

Explanation

Simple Explanation

दूरी 95 होती है / Distance is 95

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Question 26/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -3.141 ) और ( -3.14 ) में कौन छोटा है

Which is smaller ( -3.141 ) or ( -3.14 )

Explanation opens after your attempt
Correct Answer

B. ( -3.141 )

Explanation

Simple Explanation

-3.141 अधिक ऋणात्मक है / -3.141 is smaller

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Question 27/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -18 ) और ( 6 ) का मध्य बिंदु क्या है

What is midpoint of ( -18 ) and ( 6 )

Explanation opens after your attempt
Correct Answer

A. ( -6 )

Explanation

Simple Explanation

औसत लेने पर -6 मिलता है / Average gives -6

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Question 28/50 Expert Mathematics Number Systems Number line Class 9 Level 7

\( -\frac{17}{3} \) और ( -5.6 ) में कौन बड़ा है

Which is greater \( -\frac{17}{3} \) or ( -5.6 )

Explanation opens after your attempt
Correct Answer

B. \( -\frac{17}{3} \)

Explanation

Simple Explanation

\( -\frac{17}{3} \approx -5.667 \) इसलिए छोटा है / -17/3 is approximately -5.667 so smaller

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Question 29/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -9.99 ) और ( -10 ) में कौन बड़ा है

Which is greater ( -9.99 ) or ( -10 )

Explanation opens after your attempt
Correct Answer

B. ( -9.99 )

Explanation

Simple Explanation

-9.99 शून्य के अधिक निकट है / -9.99 is closer to zero

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Question 30/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( 11 ) और ( -5 ) का मध्य बिंदु क्या है

What is midpoint of ( 11 ) and ( -5 )

Explanation opens after your attempt
Correct Answer

A. ( 3 )

Explanation

Simple Explanation

औसत लेने पर 3 मिलता है / Average gives 3

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Question 31/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -1.75 ) और ( -1.705 ) में कौन छोटा है

Which is smaller ( -1.75 ) or ( -1.705 )

Explanation opens after your attempt
Correct Answer

B. ( -1.75 )

Explanation

Simple Explanation

-1.75 अधिक ऋणात्मक है / -1.75 is smaller

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Question 32/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -24 ) और ( -8 ) के बीच दूरी क्या है

What is distance between ( -24 ) and ( -8 )

Explanation opens after your attempt
Correct Answer

B. ( 16 )

Explanation

Simple Explanation

दूरी 16 होती है / Distance is 16

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Question 33/50 Expert Mathematics Number Systems Number line Class 9 Level 7

\( -\frac{1}{3} \) और ( -0.34 ) में कौन बड़ा है

Which is greater \( -\frac{1}{3} \) or ( -0.34 )

Explanation opens after your attempt
Correct Answer

B. \( -\frac{1}{3} \)

Explanation

Simple Explanation

\( -\frac{1}{3} \approx -0.333 \) इसलिए बड़ा है / -1/3 is approximately -0.333 so greater

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Question 34/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -55 ) का अगला पूर्णांक क्या है

What is successor of ( -55 )

Explanation opens after your attempt
Correct Answer

B. ( -54 )

Explanation

Simple Explanation

दाईं ओर जाने पर -54 मिलता है / Moving right gives -54

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Question 35/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -0.00001 ) और ( -0.0001 ) में कौन बड़ा है

Which is greater ( -0.00001 ) or ( -0.0001 )

Explanation opens after your attempt
Correct Answer

B. ( -0.00001 )

Explanation

Simple Explanation

-0.00001 शून्य के अधिक निकट है / -0.00001 is closer to zero

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Question 36/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( 2.1 ) और ( 1.99 ) में कौन बड़ा है

Which is greater ( 2.1 ) or ( 1.99 )

Explanation opens after your attempt
Correct Answer

B. ( 2.1 )

Explanation

Simple Explanation

2.1 बड़ा है / 2.1 is greater

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Question 37/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -16 ) और ( 0 ) का मध्य बिंदु क्या है

What is midpoint of ( -16 ) and ( 0 )

Explanation opens after your attempt
Correct Answer

A. ( -8 )

Explanation

Simple Explanation

औसत लेने पर -8 मिलता है / Average gives -8

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Question 38/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -5.555 ) और ( -5.55 ) में कौन छोटा है

Which is smaller ( -5.555 ) or ( -5.55 )

Explanation opens after your attempt
Correct Answer

B. ( -5.555 )

Explanation

Simple Explanation

-5.555 अधिक ऋणात्मक है / -5.555 is smaller

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Question 39/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -100 ) और ( 0 ) के बीच दूरी क्या है

What is distance between ( -100 ) and ( 0 )

Explanation opens after your attempt
Correct Answer

B. ( 100 )

Explanation

Simple Explanation

दूरी 100 होती है / Distance is 100

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Question 40/50 Expert Mathematics Number Systems Number line Class 9 Level 7

\( -\frac{19}{4} \) और ( -4.8 ) में कौन बड़ा है

Which is greater \( -\frac{19}{4} \) or ( -4.8 )

Explanation opens after your attempt
Correct Answer

B. \( -\frac{19}{4} \)

Explanation

Simple Explanation

\( -\frac{19}{4} = -4.75 \) इसलिए बड़ा है / -19/4 equals -4.75 so greater

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Question 41/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -28 ) और ( -14 ) के बीच दूरी क्या है

What is distance between ( -28 ) and ( -14 )

Explanation opens after your attempt
Correct Answer

B. ( 14 )

Explanation

Simple Explanation

दूरी 14 होती है / Distance is 14

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Question 42/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -0.49 ) और ( -0.5 ) में कौन बड़ा है

Which is greater ( -0.49 ) or ( -0.5 )

Explanation opens after your attempt
Correct Answer

B. ( -0.49 )

Explanation

Simple Explanation

-0.49 शून्य के अधिक निकट है / -0.49 is closer to zero

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Question 43/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -7 ) और ( 13 ) का मध्य बिंदु क्या है

What is midpoint of ( -7 ) and ( 13 )

Explanation opens after your attempt
Correct Answer

A. ( 3 )

Explanation

Simple Explanation

औसत लेने पर 3 मिलता है / Average gives 3

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Question 44/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -13.5 ) और ( -13.05 ) में कौन छोटा है

Which is smaller ( -13.5 ) or ( -13.05 )

Explanation opens after your attempt
Correct Answer

B. ( -13.5 )

Explanation

Simple Explanation

-13.5 अधिक ऋणात्मक है / -13.5 is smaller

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Question 45/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -9 ) और ( -2 ) का मध्य बिंदु क्या है

What is midpoint of ( -9 ) and ( -2 )

Explanation opens after your attempt
Correct Answer

A. ( -5.5 )

Explanation

Simple Explanation

औसत लेने पर -5.5 मिलता है / Average gives -5.5

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Question 46/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -3 ) और ( -15 ) के बीच दूरी क्या है

What is distance between ( -3 ) and ( -15 )

Explanation opens after your attempt
Correct Answer

B. ( 12 )

Explanation

Simple Explanation

दूरी 12 होती है / Distance is 12

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Question 47/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -0.101 ) और ( -0.11 ) में कौन बड़ा है

Which is greater ( -0.101 ) or ( -0.11 )

Explanation opens after your attempt
Correct Answer

B. ( -0.101 )

Explanation

Simple Explanation

-0.101 शून्य के अधिक निकट है / -0.101 is closer to zero

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Question 48/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( 4 ) और ( -12 ) का मध्य बिंदु क्या है

What is midpoint of ( 4 ) and ( -12 )

Explanation opens after your attempt
Correct Answer

A. ( -4 )

Explanation

Simple Explanation

औसत लेने पर -4 मिलता है / Average gives -4

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Question 49/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -60 ) और ( 20 ) के बीच दूरी क्या है

What is distance between ( -60 ) and ( 20 )

Explanation opens after your attempt
Correct Answer

B. ( 80 )

Explanation

Simple Explanation

दूरी 80 होती है / Distance is 80

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Question 50/50 Expert Mathematics Number Systems Number line Class 9 Level 7

( -1 ) और ( -1.0001 ) में कौन बड़ा है

Which is greater ( -1 ) or ( -1.0001 )

Explanation opens after your attempt
Correct Answer

B. ( -1 )

Explanation

Simple Explanation

-1 शून्य के अधिक निकट है / -1 is closer to zero

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This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 25 seconds per question for Expert difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.