Level 3 • 10/50 questions • 35 seconds per question.
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What is the value of \( \sqrt{3.24}+\sqrt{0.49} \)?
A. (2.5)
\( \sqrt{3.24}=1.8 \) और \( \sqrt{0.49}=0.7 \) है। योग (2.5) होगा। / \( \sqrt{3.24}=1.8 \) and \( \sqrt{0.49}=0.7 \). The sum is (2.5).
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What is the value of \( \sqrt{6.25}-\sqrt{0.64} \)?
A. (1.7)
\( \sqrt{6.25}=2.5 \) और \( \sqrt{0.64}=0.8 \) है। अंतर (1.7) है। / \( \sqrt{6.25}=2.5 \) and \( \sqrt{0.64}=0.8 \). The difference is (1.7).
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If (0.3030030003...) has no fixed repetition, what type of number is it?
B. अपरिमेय वास्तविक संख्याIrrational real number
असमाप्त और अनावर्ती दशमलव अपरिमेय होता है। आवर्ती और अनावर्ती में अंतर पहचानें। / A non-terminating and non-repeating decimal is irrational. Identify the difference between repeating and non-repeating.
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What type of real number is (4.616161...)?
B. परिमेय वास्तविक संख्याRational real number
(61) बार-बार आ रहा है इसलिए दशमलव आवर्ती है। आवर्ती दशमलव परिमेय होते हैं। / The block (61) repeats, so the decimal is repeating. Repeating decimals are rational.
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If (0.090090009...) has no regular repetition, what is it?
C. अपरिमेय वास्तविक संख्याIrrational real number
नियमित आवृत्ति न होने पर असमाप्त दशमलव अपरिमेय होता है। केवल स्थिर आवर्ती दशमलव परिमेय होते हैं। / A non-terminating decimal without regular repetition is irrational. Only fixed repeating decimals are rational.
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What is the correct statement about the decimal form of \( \frac{11}{17} \)?
B. यह असमाप्त आवर्ती दशमलव हैIt is non-terminating repeating
हर (17) में (2) या (5) के अलावा गुणनखंड है। इसलिए दशमलव असमाप्त आवर्ती होगा। / The denominator (17) has factors other than (2) or (5). Therefore the decimal will be non-terminating repeating.
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What is the correct statement about the decimal form of \( \frac{33}{160} \)?
A. यह समाप्त दशमलव हैIt is terminating
\(160=2^5\times5\) है इसलिए हर में केवल (2) और (5) हैं। ऐसा भिन्न समाप्त दशमलव देता है। / \(160=2^5\times5\), so the denominator has only (2) and (5). Such a fraction gives a terminating decimal.
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What is the correct statement about the decimal form of \( \frac{7}{66} \)?
B. यह असमाप्त आवर्ती दशमलव हैIt is non-terminating repeating decimal
\(66=2\times3\times11\) में (3) और (11) हैं। इसलिए दशमलव समाप्त नहीं होगा लेकिन आवर्ती होगा। / \(66=2\times3\times11\) has (3) and (11). So the decimal will not terminate but will repeat.
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What type will \( \frac{41}{500} \) be in decimal form?
A. समाप्त दशमलवTerminating decimal
\(500=2^2\times5^3\) है इसलिए हर में केवल (2) और (5) हैं। ऐसा भिन्न समाप्त दशमलव देता है। / \(500=2^2\times5^3\), so the denominator has only (2) and (5). Such a fraction gives a terminating decimal.
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What will be the decimal expansion of \( \frac{37}{54} \)?
B. असमाप्त आवर्तीNon-terminating repeating
\(54=2\times3^3\) में (3) भी है। इसलिए यह असमाप्त आवर्ती दशमलव होगा। / \(54=2\times3^3\) also has (3). Therefore it will be a non-terminating repeating decimal.
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