यदि \(a=\sqrt{13}+\sqrt{6}\) और \(b=\sqrt{13}-\sqrt{6}\), तो (ab) का मान क्या है?
If \(a=\sqrt{13}+\sqrt{6}\) and \(b=\sqrt{13}-\sqrt{6}\), what is the value of (ab)?
#conjugates
#surd-product
#rational-number
A (7)
B (19)
C \(\sqrt{78}\)
D \(2\sqrt{78}\)
Explanation opens after your attempt
Step 1
Concept
(ab=13-6=7). In exams conjugate multiplication removes radicals.
Step 2
Why this answer is correct
The correct answer is A. (7). (ab=13-6=7). In exams conjugate multiplication removes radicals.
Step 3
Exam Tip
(ab=13-6=7) है। परीक्षा में संयुग्मी गुणन से मूल हट जाते हैं।
Login to save your score, XP, coins and progress. Login
कौन सा व्यंजक परिमेय संख्या है?
Which expression is a rational number?
#rational-number
#surds
#classification
A (\(\sqrt{28}\)\(\sqrt{7}\))
B \(\sqrt{28}+\sqrt{7}\)
C \(\sqrt{28}-\sqrt{7}\)
D \(\sqrt{7}+2\sqrt{7}\)
Explanation opens after your attempt
Correct Answer
A. (\(\sqrt{28}\)\(\sqrt{7}\))
Step 1
Concept
(\(\sqrt{28}\)\(\sqrt{7}\)=\sqrt{196}=14) which is rational. In exams keep multiplication and addition rules separate.
Step 2
Why this answer is correct
The correct answer is A. (\(\sqrt{28}\)\(\sqrt{7}\)). (\(\sqrt{28}\)\(\sqrt{7}\)=\sqrt{196}=14) which is rational. In exams keep multiplication and addition rules separate.
Step 3
Exam Tip
(\(\sqrt{28}\)\(\sqrt{7}\)=\sqrt{196}=14) है जो परिमेय है। परीक्षा में गुणन और जोड़ के नियम अलग रखें।
Login to save your score, XP, coins and progress. Login
यदि \(a=7+4\sqrt{3}\) और \(b=7-4\sqrt{3}\), तो (ab) का मान किस प्रकार की संख्या है?
If \(a=7+4\sqrt{3}\) and \(b=7-4\sqrt{3}\), then what type of number is (ab)?
#surds
#conjugates
#rational-number
A (1), परिमेय / (1), rational
B (97), परिमेय / (97), rational
C \(56\sqrt{3}\), अपरिमेय / \(56\sqrt{3}\), irrational
D (49+48), परिमेय / (49+48), rational
Explanation opens after your attempt
Correct Answer
A. (1), परिमेय / (1), rational
Step 1
Concept
(ab=(7)2 -\(4\sqrt{3}\)2 =49-48=1), so it is rational. In exams apply \(a^2-b^2\) for conjugate pairs.
Step 2
Why this answer is correct
The correct answer is A. (1), परिमेय / (1), rational. (ab=(7)2 -\(4\sqrt{3}\)2 =49-48=1), so it is rational. In exams apply \(a^2-b^2\) for conjugate pairs.
Step 3
Exam Tip
(ab=(7)2 -\(4\sqrt{3}\)2 =49-48=1), इसलिए यह परिमेय है। परीक्षा में संयुग्मी युग्म पर \(a^2-b^2\) लगाएं।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{99}\) और \(\sqrt{100}\) के बीच एक परिमेय संख्या है?
Which option is a rational number between \(\sqrt{99}\) and \(\sqrt{100}\)?
#number-line
#rational-number
#estimation
A (9.98)
B (10.1)
C (9.8)
D \(\sqrt{101}\)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{99}\) is about (9.95) and \(\sqrt{100}=10\). (9.98) is a rational number between them.
Step 2
Why this answer is correct
The correct answer is A. (9.98). \(\sqrt{99}\) is about (9.95) and \(\sqrt{100}=10\). (9.98) is a rational number between them.
Step 3
Exam Tip
\(\sqrt{99}\) लगभग (9.95) है और \(\sqrt{100}=10\) है। (9.98) इनके बीच की परिमेय संख्या है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (2.3454545...) की प्रकृति सही बताता है?
Which option correctly describes the nature of (2.3454545...)?
#recurring-decimal
#rational-number
#classification
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D पूर्णांक / Integer
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
After some digits, (45) repeats, so it is a recurring decimal. A recurring decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. After some digits, (45) repeats, so it is a recurring decimal. A recurring decimal is rational.
Step 3
Exam Tip
कुछ अंकों के बाद (45) दोहरता है, इसलिए यह आवर्ती दशमलव है। आवर्ती दशमलव परिमेय होता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{0.49}+\frac{1}{\sqrt{25}}\) का मान है?
Which option is the value of \(\sqrt{0.49}+\frac{1}{\sqrt{25}}\)?
#decimal-square-root
#rational-number
#calculation
A (0.9)
B (0.75)
C (1.2)
D (0.2)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{0.49}=0.7\) and \(\frac{1}{\sqrt{25}}=\frac{1}{5}=0.2\). The sum is (0.9).
Step 2
Why this answer is correct
The correct answer is A. (0.9). \(\sqrt{0.49}=0.7\) and \(\frac{1}{\sqrt{25}}=\frac{1}{5}=0.2\). The sum is (0.9).
Step 3
Exam Tip
\(\sqrt{0.49}=0.7\) और \(\frac{1}{\sqrt{25}}=\frac{1}{5}=0.2\) है। योग (0.9) है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{50}<x<\sqrt{72}\) को संतुष्ट करने वाली परिमेय संख्या है?
Which option is a rational number satisfying \(\sqrt{50}<x<\sqrt{72}\)?
#inequality
#number-line
#rational-number
A (8)
B \(\sqrt{60}\)
C (7)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{50}\approx7.07\) and \(\sqrt{72}\approx8.49\), so (8) lies between them. (8) is rational.
Step 2
Why this answer is correct
The correct answer is A. (8). \(\sqrt{50}\approx7.07\) and \(\sqrt{72}\approx8.49\), so (8) lies between them. (8) is rational.
Step 3
Exam Tip
\(\sqrt{50}\approx7.07\) और \(\sqrt{72}\approx8.49\), इसलिए (8) इनके बीच है। (8) परिमेय है।
Login to save your score, XP, coins and progress. Login
यदि कोई दशमलव अनंत और आवर्ती है तो वह किस प्रकार की संख्या है?
If a decimal is non terminating and repeating, what type of number is it?
#repeating-decimal
#rational-number
#concept
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D केवल पूर्णांक / Integer only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
A non terminating repeating decimal is rational. Do not call it irrational only because it is infinite.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. A non terminating repeating decimal is rational. Do not call it irrational only because it is infinite.
Step 3
Exam Tip
अनंत आवर्ती दशमलव परिमेय होता है। केवल अनंत देखकर उसे अपरिमेय न मानें।
Login to save your score, XP, coins and progress. Login
यदि कोई संख्या सांत दशमलव है तो कौन सा निष्कर्ष सही है?
If a number is a terminating decimal, which conclusion is correct?
#terminating-decimal
#rational-number
#concept
A वह परिमेय संख्या है / It is a rational number
B वह हमेशा अपरिमेय है / It is always irrational
C वह वास्तविक नहीं है / It is not real
D वह हमेशा पूर्णांक है / It is always an integer
Explanation opens after your attempt
Correct Answer
A. वह परिमेय संख्या है / It is a rational number
Step 1
Concept
A terminating decimal can be converted into \(\frac{p}{q}\) form. Hence it is rational.
Step 2
Why this answer is correct
The correct answer is A. वह परिमेय संख्या है / It is a rational number. A terminating decimal can be converted into \(\frac{p}{q}\) form. Hence it is rational.
Step 3
Exam Tip
सांत दशमलव को \(\frac{p}{q}\) रूप में बदला जा सकता है। इसलिए वह परिमेय होता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt[3]{343}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \(\sqrt[3]{343}\)?
#cube-root
#perfect-cube
#rational-number
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D अनंत अनावर्ती दशमलव / Non terminating non repeating decimal
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt[3]{343}=7\), which is rational. The cube root of a perfect cube is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt[3]{343}=7\), which is rational. The cube root of a perfect cube is rational.
Step 3
Exam Tip
\(\sqrt[3]{343}=7\) है जो परिमेय है। पूर्ण घन की घनमूल परिमेय होती है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{0.36}+\sqrt{0.49}\) का मान है?
Which option is the value of \(\sqrt{0.36}+\sqrt{0.49}\)?
#decimal-square-root
#rational-number
#calculation
A (1.3)
B (0.13)
C (1.1)
D (0.85)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{0.36}=0.6\) and \(\sqrt{0.49}=0.7\). The sum is (1.3), which is rational.
Step 2
Why this answer is correct
The correct answer is A. (1.3). \(\sqrt{0.36}=0.6\) and \(\sqrt{0.49}=0.7\). The sum is (1.3), which is rational.
Step 3
Exam Tip
\(\sqrt{0.36}=0.6\) और \(\sqrt{0.49}=0.7\) है। योग (1.3) है जो परिमेय है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (6) और (7) के बीच की परिमेय संख्या है?
Which option is a rational number between (6) and (7)?
#rational-number
#number-line
#between-numbers
A \(\frac{25}{4}\)
B \(\sqrt{41}\)
C \(\sqrt{45}\)
D \(\pi+3\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{25}{4}\)
Step 1
Concept
\(\frac{25}{4}=6.25\), which lies between (6) and (7). Fraction form shows rationality.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{25}{4}\). \(\frac{25}{4}=6.25\), which lies between (6) and (7). Fraction form shows rationality.
Step 3
Exam Tip
\(\frac{25}{4}=6.25\) है जो (6) और (7) के बीच है। भिन्न रूप परिमेयता बताता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प परिमेय संख्या दर्शाता है?
Which option represents a rational number?
#recurring-decimal
#rational-number
#classification
A \(7.\overline{125}\)
B (7.125125512...)
C \(\sqrt{7}\)
D \(\pi\)
Explanation opens after your attempt
Correct Answer
A. \(7.\overline{125}\)
Step 1
Concept
The bar shows repetition of (125). A repeating decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. \(7.\overline{125}\). The bar shows repetition of (125). A repeating decimal is rational.
Step 3
Exam Tip
ऊपर की रेखा (125) के आवर्तन को बताती है। आवर्ती दशमलव परिमेय होता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt[3]{216}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \(\sqrt[3]{216}\)?
#cube-root
#perfect-cube
#rational-number
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D अनंत अनावर्ती दशमलव / Non terminating non repeating decimal
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt[3]{216}=6\), which is rational. The cube root of a perfect cube is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt[3]{216}=6\), which is rational. The cube root of a perfect cube is rational.
Step 3
Exam Tip
\(\sqrt[3]{216}=6\) है जो परिमेय है। पूर्ण घन की घनमूल परिमेय होती है।
Login to save your score, XP, coins and progress. Login
यदि कोई दशमलव सांत या आवर्ती है तो वह किस प्रकार की संख्या है?
If a decimal is terminating or repeating, what type of number is it?
#decimal-expansion
#rational-number
#concept
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D केवल पूर्णांक / Integer only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The decimal expansion of a rational number is terminating or repeating. This identification is very important.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The decimal expansion of a rational number is terminating or repeating. This identification is very important.
Step 3
Exam Tip
परिमेय संख्या का दशमलव प्रसार सांत या आवर्ती होता है। यह पहचान बहुत महत्वपूर्ण है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt[3]{125}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \(\sqrt[3]{125}\)?
#cube-root
#perfect-cube
#rational-number
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D अनावर्ती दशमलव / Non repeating decimal
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt[3]{125}=5\), which is rational. The cube root of a perfect cube is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt[3]{125}=5\), which is rational. The cube root of a perfect cube is rational.
Step 3
Exam Tip
\(\sqrt[3]{125}=5\) है जो परिमेय है। पूर्ण घन की घनमूल परिमेय होती है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{0.64}+\sqrt{0.09}\) का मान है?
Which option is the value of \(\sqrt{0.64}+\sqrt{0.09}\)?
#decimal-square-root
#rational-number
#calculation
A (1.1)
B (0.11)
C (0.89)
D (1.7)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{0.64}=0.8\) and \(\sqrt{0.09}=0.3\). The sum is (1.1).
Step 2
Why this answer is correct
The correct answer is A. (1.1). \(\sqrt{0.64}=0.8\) and \(\sqrt{0.09}=0.3\). The sum is (1.1).
Step 3
Exam Tip
\(\sqrt{0.64}=0.8\) और \(\sqrt{0.09}=0.3\) है। योग (1.1) है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (7) और (8) के बीच की परिमेय संख्या है?
Which option is a rational number between (7) and (8)?
#rational-number
#number-line
#between-numbers
A \(\frac{15}{2}\)
B \(\sqrt{53}\)
C \(\sqrt{60}\)
D \(\pi+4\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{15}{2}\)
Step 1
Concept
\(\frac{15}{2}=7.5\), which lies between (7) and (8). Fraction form shows rationality.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{15}{2}\). \(\frac{15}{2}=7.5\), which lies between (7) and (8). Fraction form shows rationality.
Step 3
Exam Tip
\(\frac{15}{2}=7.5\) है जो (7) और (8) के बीच है। भिन्न रूप परिमेयता बताता है।
Login to save your score, XP, coins and progress. Login
यदि कोई संख्या सांत या आवर्ती दशमलव है तो वह कैसी संख्या होगी?
If a number has a terminating or repeating decimal, what type of number will it be?
#decimal-expansion
#rational-number
#concept
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D केवल प्राकृतिक संख्या / Natural number only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The decimal expansion of rational numbers is terminating or repeating. This identification is very useful in exams.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The decimal expansion of rational numbers is terminating or repeating. This identification is very useful in exams.
Step 3
Exam Tip
परिमेय संख्याओं का दशमलव विस्तार सांत या आवर्ती होता है। यह पहचान परीक्षा में बहुत काम आती है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt[3]{64}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \(\sqrt[3]{64}\)?
#cube-root
#perfect-cube
#rational-number
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D अनावर्ती दशमलव / Non repeating decimal
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt[3]{64}=4\), which is rational. The cube root of a perfect cube is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt[3]{64}=4\), which is rational. The cube root of a perfect cube is rational.
Step 3
Exam Tip
\(\sqrt[3]{64}=4\) है जो परिमेय है। पूर्ण घन की घनमूल परिमेय होती है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{0.81}\) का मान है?
Which option is the value of \(\sqrt{0.81}\)?
#decimal-square-root
#rational-number
#calculation
A (0.9)
B (0.09)
C (9)
D (0.081)
Explanation opens after your attempt
Step 1
Concept
Since \(0.9\times0.9=0.81\), \(\sqrt{0.81}=0.9\). It is a terminating decimal.
Step 2
Why this answer is correct
The correct answer is A. (0.9). Since \(0.9\times0.9=0.81\), \(\sqrt{0.81}=0.9\). It is a terminating decimal.
Step 3
Exam Tip
\(0.9\times0.9=0.81\) इसलिए \(\sqrt{0.81}=0.9\)। यह सांत दशमलव है।
Login to save your score, XP, coins and progress. Login
यदि (p) और (q) पूर्णांक हैं तथा \(q\neq0\), तो \(\frac{p}{q}\) रूप वाली संख्या क्या कहलाती है?
If (p) and (q) are integers and \(q\neq0\), what is a number of the form \(\frac{p}{q}\) called?
#definition
#rational-number
#p-by-q
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D सिर्फ प्राकृतिक संख्या / Natural number only
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\frac{p}{q}\) form is the definition of a rational number. The denominator (q) must not be zero.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\frac{p}{q}\) form is the definition of a rational number. The denominator (q) must not be zero.
Step 3
Exam Tip
\(\frac{p}{q}\) रूप परिमेय संख्या की परिभाषा है। इसमें हर (q) शून्य नहीं होना चाहिए।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प संख्या (0) के बारे में सही है?
Which option is correct about the number (0)?
#zero
#rational-number
#real-number
A यह परिमेय और वास्तविक है / It is rational and real
B यह अपरिमेय है / It is irrational
C यह वास्तविक नहीं है / It is not real
D यह प्राकृतिक संख्या अवश्य है / It must be natural
Explanation opens after your attempt
Correct Answer
A. यह परिमेय और वास्तविक है / It is rational and real
Step 1
Concept
(0) can be written as \(\frac{0}{1}\) so it is rational. It also lies on the number line.
Step 2
Why this answer is correct
The correct answer is A. यह परिमेय और वास्तविक है / It is rational and real. (0) can be written as \(\frac{0}{1}\) so it is rational. It also lies on the number line.
Step 3
Exam Tip
\(0=\frac{0}{1}\) लिखा जा सकता है इसलिए यह परिमेय है। यह संख्या रेखा पर भी आता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{0.16}\) का मान है?
Which option is the value of \(\sqrt{0.16}\)?
#decimal-square-root
#rational-number
#calculation
A (0.4)
B (0.04)
C (4)
D (1.6)
Explanation opens after your attempt
Step 1
Concept
Since \(0.4\times0.4=0.16\), \(\sqrt{0.16}=0.4\). This is a rational number.
Step 2
Why this answer is correct
The correct answer is A. (0.4). Since \(0.4\times0.4=0.16\), \(\sqrt{0.16}=0.4\). This is a rational number.
Step 3
Exam Tip
\(0.4\times0.4=0.16\) इसलिए \(\sqrt{0.16}=0.4\)। यह परिमेय संख्या है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (0) और (1) के बीच की परिमेय संख्या है?
Which option is a rational number between (0) and (1)?
#rational-number
#between-zero-one
#number-line
A \(\frac{4}{9}\)
B \(\sqrt{2}\)
C \(\sqrt{5}\)
D (1.5)
Explanation opens after your attempt
Correct Answer
A. \(\frac{4}{9}\)
Step 1
Concept
\(\frac{4}{9}\) lies between (0) and (1) and is rational. Place the fraction on the number line.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{4}{9}\). \(\frac{4}{9}\) lies between (0) and (1) and is rational. Place the fraction on the number line.
Step 3
Exam Tip
\(\frac{4}{9}\) (0) और (1) के बीच है और परिमेय है। भिन्न को संख्या रेखा पर रखें।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या (1) और (2) के बीच की परिमेय संख्या है?
Which number is a rational number between (1) and (2)?
#rational-number
#number-line
#between-numbers
A \(\frac{7}{5}\)
B \(\sqrt{2}\)
C \(\sqrt{3}\)
D \(\pi\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{7}{5}\)
Step 1
Concept
\(\frac{7}{5}=1.4\), which lies between (1) and (2). Being a fraction shows it is rational.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{7}{5}\). \(\frac{7}{5}=1.4\), which lies between (1) and (2). Being a fraction shows it is rational.
Step 3
Exam Tip
\(\frac{7}{5}=1.4\) है जो (1) और (2) के बीच है। भिन्न के रूप में होने से यह परिमेय है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{144}\) का मान किस प्रकार की संख्या है?
What type of number is the value of \(\sqrt{144}\)?
#perfect-square
#square-root
#rational-number
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D ऋणात्मक संख्या / Negative number
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt{144}=12\) and (12) is rational. The square root of a perfect square is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt{144}=12\) and (12) is rational. The square root of a perfect square is rational.
Step 3
Exam Tip
\(\sqrt{144}=12\) है और (12) परिमेय है। पूर्ण वर्ग की वर्गमूल परिमेय होती है।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या (-1) और (0) के बीच की परिमेय संख्या है?
Which number is a rational number between (-1) and (0)?
#rational-number
#negative-number
#number-line
A \(-\frac{1}{2}\)
B \(-\sqrt{2}\)
C (-2)
D \(\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(-\frac{1}{2}\)
Step 1
Concept
\(-\frac{1}{2}\) lies between (-1) and (0) and is rational. Place negative fractions carefully on the number line.
Step 2
Why this answer is correct
The correct answer is A. \(-\frac{1}{2}\). \(-\frac{1}{2}\) lies between (-1) and (0) and is rational. Place negative fractions carefully on the number line.
Step 3
Exam Tip
\(-\frac{1}{2}\) (-1) और (0) के बीच है और परिमेय है। संख्या रेखा पर ऋणात्मक भिन्नों को ध्यान से रखें।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या (2) और (3) के बीच की परिमेय संख्या है?
Which number is a rational number between (2) and (3)?
#rational-number
#number-line
#between-numbers
A \(\frac{5}{2}\)
B \(\sqrt{5}\)
C \(\sqrt{6}\)
D \(\pi\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{5}{2}\)
Step 1
Concept
\(\frac{5}{2}=2.5\), which lies between (2) and (3) and is rational. Fraction form shows rationality.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{5}{2}\). \(\frac{5}{2}=2.5\), which lies between (2) and (3) and is rational. Fraction form shows rationality.
Step 3
Exam Tip
\(\frac{5}{2}=2.5\) है जो (2) और (3) के बीच है और परिमेय है। भिन्न रूप परिमेयता बताता है।
Login to save your score, XP, coins and progress. Login
\(0.\overline{7}\) किस प्रकार की संख्या है?
What type of number is \(0.\overline{7}\)?
#repeating-decimal
#rational-number
#decimal
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D अपरिभाषित संख्या / Undefined number
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(0.\overline{7}\) is a repeating decimal. Every repeating decimal is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(0.\overline{7}\) is a repeating decimal. Every repeating decimal is rational.
Step 3
Exam Tip
\(0.\overline{7}\) आवर्ती दशमलव है। हर आवर्ती दशमलव परिमेय होता है।
Login to save your score, XP, coins and progress. Login
