{"id":11989,"date":"2024-03-10T12:52:14","date_gmt":"2024-03-10T07:22:14","guid":{"rendered":"https:\/\/tsboardsolutions.in\/?p=11989"},"modified":"2024-03-13T17:25:43","modified_gmt":"2024-03-13T11:55:43","slug":"ts-10th-class-maths-bits-chapter-1","status":"publish","type":"post","link":"https:\/\/tsboardsolutions.in\/ts-10th-class-maths-bits-chapter-1\/","title":{"rendered":"TS 10th Class Maths Bits Chapter 1 Real Numbers"},"content":{"rendered":"

Solving these TS 10th Class Maths Bits with Answers<\/a> Chapter 1 Real Numbers Bits for 10th Class will help students to build their problem-solving skills.<\/p>\n

Real Numbers Bits for 10th Class<\/h2>\n

Question 1.
\n\\(\\sqrt{4}\\) is
\nA) a rational number
\nB) an irrational number
\nC) an odd number
\nD) none of these
\nAnswer:
\nA) a rational number<\/p>\n

Question 2.
\nThe logarithmic form of 64 = 26<\/sup> is
\nA) log2<\/sub>64 = 6
\nB) log6<\/sub>64 = 2
\nC) log4<\/sub>64 = 2
\nD) log3<\/sub>64 = 6
\nAnswer:
\nA) log2<\/sub>64 = 6<\/p>\n

\"TS<\/p>\n

Question 3.
\nThe exponential form of \\(\\log _4 1024\\) = 5 is = 5 is
\nA) 54<\/sup> =1024
\nB) 64<\/sup> = 1024
\nC) 45<\/sup> = 1024
\nD) 28<\/sup> = 1024
\nAnswer:
\nC) 45<\/sup> = 1024<\/p>\n

Question 4.
\nIf log2<\/sub>8 = y, then y =
\nA) 3
\nB) 4
\nC) 6
\nD) 10
\nAnswer:
\nA) 3<\/p>\n

Question 5.
\nlog3<\/sub>729 = x, then x =
\nA) 243
\nB) 81
\nC) 9
\nD) 6
\nAnswer:
\nD) 6<\/p>\n

Question 6.
\nlog 15 =
\nA) log 1 + log 5
\nB) log 10 + log 5
\nC) log 3 + log 5
\nD) log 3 \u00d7 log 5
\nAnswer:
\nC) log 3 + log 5<\/p>\n

Question 7.
\nThe HCF of the least prime number and the least composite number is
\nA) 1
\nB) 3
\nC) 4
\nD) 2
\nAnswer:
\nA) 1<\/p>\n

Question 8.
\nThe L.C.M of 36 and 54 is
\nA) 18
\nB) 108
\nC) 36
\nD) 54
\nAnswer:
\nB) 108<\/p>\n

\"TS<\/p>\n

Question 9.
\nThe sum of the exponents of the prime factor in the prime factorisation of 108 is
\nA) 5
\nB) 6
\nC) 4
\nD) 1
\nAnswer:
\nA) 5<\/p>\n

Question 10.
\n\\(1 . \\overline{23}\\) is
\nA) a rational number
\nB) an irrational number
\nC) an integer
\nD) a natural number
\nAnswer:
\nA) a rational number<\/p>\n

Question 11.
\nThe HCF of 6, 72 and 120 is
\nA) 12
\nB) 15
\nC) 6
\nD) 3
\nAnswer:
\nC) 6<\/p>\n

Question 12.
\nThe LCM of 8, 9 and 25 is
\nA) 200
\nB) 1800
\nC) 225
\nD) 72
\nAnswer:
\nB) 1800<\/p>\n

Question 13.
\nThe rational number in between and \\(\\sqrt{1}\\) and is
\n(A) \\(\\frac{9}{4}\\)
\n(B) \\(\\frac{3}{4}\\)
\n(C) \\(\\frac{5}{4}\\)
\n(D) \\(\\frac{5}{4}\\)
\nAnswer:
\n(B) \\(\\frac{3}{4}\\)<\/p>\n

Question 14.
\nSet of Rational and irrational numbers are called
\nA) Real numbers
\nB) Natural numbers
\nC) Whole numbers
\nD) Integers
\nAnswer:
\nA) Real numbers<\/p>\n

Question 15.
\nlog form of 35<\/sup> = 243 is …..
\nA) \\(\\log _3^{243}\\) = 5
\nB) \\(\\log _5^{243}\\) = 3
\nC) \\(\\log _3^{243}\\) = 5
\nD) \\(\\log _5^{243}\\) = 5
\nAnswer:
\nA) \\(\\log _3^{243}\\) = 5<\/p>\n

Question 16.
\nthe symbol of “implies” is ……….
\nA) \u21d4
\nB) \u21d2
\nC) \u2200
\nD) \u2203
\nAnswer:
\nB) \u21d2<\/p>\n

Question 17.
\nThe prime factorisation of 729 is ………..
\nA) 36
\nB) 35
\nC) 34
\nD) 38
\nAnswer:
\nA) 36<\/p>\n

\"TS<\/p>\n

Question 18.
\nIf ‘x’ and ‘y’ are two prime numbers then their HCF
\nA) 36<\/sup>
\nB) 35<\/sup>
\nC) xy
\nD) x + y
\nAnswer:
\nB) 35<\/sup><\/p>\n

Question 19.
\n\\(\\log _{10}^{0.01}\\) = ……..
\nA) -1
\nB) 1
\nC) -2
\nD) 2
\nAnswer:
\nC) -2<\/p>\n

Question 20.
\nThe number of odd numbers in between O’ and 100 is …. ( )
\nA) 100
\nB) 51
\nC) 49
\nD) 50
\nAnswer:
\nD) 50<\/p>\n

Question 21.
\nThe exponential form of \\(\\log _4^8\\) = x is …………..
\nA) x8<\/sup> = 4
\nB) x4<\/sup> = 8
\nC) 4x<\/sup> = 8
\nD) 8x<\/sup> = 4
\nAnswer:
\nC) 4x<\/sup> = 8<\/p>\n

Question 22.
\nThe value of \\(\\frac{36}{2^3 \\times 5^3}\\) in decimal form is ………
\nA) 0.036
\nB) 0.36
\nC) 0.0036
\nD) 3.6
\nAnswer:
\nA) 0.036<\/p>\n

Question 23.
\nLCM of two numbers is 108 and their HCF is 9 and one of them is 54. So the second one is ( )
\nA) 9
\nB) 18
\nC) 6
\nD) 12
\nAnswer:
\nB) 18<\/p>\n

Question 24.
\nThe number of prime factors of 36 is
\nA) 4
\nB) 3
\nC) 2
\nD) 1
\nAnswer:
\nC) 2<\/p>\n

Question 25.
\nThe exponential form of \\(\\log _{10}^{0.001}\\) = – 3 is ……
\nA) (0.001)10<\/sup> = -3
\nB) (-3)10<\/sup> = 0.001
\nC) 103<\/sup> = -0.001
\nD) 10-3<\/sup> = 0.001
\nAnswer:
\nD) 10-3<\/sup> = 0.001<\/p>\n

Question 26.
\nWhich of the following in not a rational number …… ( )
\nA) \\(\\log _{10}^3\\)
\nB) \\(5 . \\overline{23}\\)
\nC) 12.123
\nA) \\(\\frac{10}{19}\\)
\nAnswer:
\nA) \\(\\log _{10}^3\\)<\/p>\n

Question 27.
\nLCM of 24 and 36 is ……. ( )
\nA) 24
\nB) 36
\nC) 72
\nD) 864
\nAnswer:
\nC) 72<\/p>\n

Question 28.
\nH.C.F. of 324 and 360 is …… ( )
\nA) 9
\nB) 1
\nC) 63
\nD) 36
\nAnswer:
\nB) 1<\/p>\n

\"TS<\/p>\n

Question 29.
\n\\(\\log _x \\sqrt[3]{x}\\) = …… ( )
\nA) 3
\nB) \\(\\frac{1}{3}\\)
\nC) \\(0 . \\overline{3}\\)
\nD) B and C
\nAnswer:
\nD) B and C<\/p>\n

Question 30.
\n\\(\\log _4 8^2\\) …………………..
\nA) 4
\nB) 8
\nC) 2
\nD) 3
\nAnswer:
\nA) 4<\/p>\n

Question 31.
\nLast digit of 5100<\/sup> is ………..
\nA) 5
\nB) 6
\nC) 0
\nD) Cannot say
\nAnswer:
\nC) 0<\/p>\n

Question 32.
\nlog10<\/sub>0 …….
\nA) does not exist
\nB) 1
\nC) 0
\nD) exist
\nAnswer:
\nB) 1<\/p>\n

Question 33.
\nIf log 2 = 0.30103, then log 32 = ( )
\nA) 4.81648
\nB) 1.50515
\nC) 9.63296
\nD) 9.0309
\nAnswer:
\nA) 4.81648<\/p>\n

Question 34.
\nIf log10<\/sub> 0.00001 = x, then x =
\nA) 4
\nB) -4
\nC) 5
\nD) -5
\nAnswer:
\nD) -5<\/p>\n

Question 35.
\nIf loga<\/sub>ax2<\/sup> – 5x + 8 = 2, then x = ….
\nA) 2 or 3
\nB) 5 or 7
\nC) -2 or -3
\nD) 8 or -2
\nAnswer:
\nD) 8 or -2<\/p>\n

Question 36.
\nlog3<\/sub>x2<\/sup> = 2 then x =
\nA) 2
\nB) -2
\nC) 3
\nD) -3
\nAnswer:
\nC) 3<\/p>\n

Question 37.
\n\\(\\log _9 \\sqrt{3 \\sqrt{3 \\sqrt{3}}}\\) = ……….
\nA) \\(\\frac{7}{8}\\)
\nB) \\(\\frac{7}{16}\\)
\nC) \\(\\frac{7}{16}\\)
\nD) \\(\\frac{1}{8}\\)
\nAnswer:
\nA) \\(\\frac{7}{8}\\)<\/p>\n

Question 38.
\nlog8<\/sub>128 =
\n(A) 7\/3
\n(B) 16
\n(C) 2048
\n(D) 136
\nAnswer:
\n(D) 136<\/p>\n

Question 39.
\nWhich of the following is an irrational number ? ( )
\n\"TS
\nAnswer:
\n(D) \\(\\sqrt{25+16}\\)<\/p>\n

Question 40.
\nThe prime factorization of 144 is ( )
\nA) 42<\/sup> \u00d7 32<\/sup>
\nB) 27<\/sup> \u00d7 34<\/sup>
\nC) 12 \u00d7 12
\nD) 24<\/sup> \u00d7 32<\/sup>
\nAnswer:
\nD) 24<\/sup> \u00d7 32<\/sup><\/p>\n

\"TS<\/p>\n

Question 41.
\nL.C.M of the numbers 27<\/sup> \u00d7 34<\/sup> \u00d7 7 and 23<\/sup> \u00d7 34<\/sup> \u00d7 11 is ( )
\nA) 23<\/sup> \u00d7 34<\/sup>
\nB) 27<\/sup> \u00d7 34<\/sup>
\nC) 27<\/sup> \u00d7 34<\/sup> \u00d7 7 \u00d7 11
\nD) 23<\/sup> \u00d7 34<\/sup> \u00d7 7 \u00d7 11
\nAnswer:
\nD) 23<\/sup> \u00d7 34<\/sup> \u00d7 7 \u00d7 11<\/p>\n

Question 42.
\nThe H.C.F. of the numbers 37<\/sup> \u00d7 53<\/sup> \u00d7 24<\/sup> and 32<\/sup> \u00d7 74<\/sup> \u00d7 28<\/sup> is
\nA) 24<\/sup> \u00d7 32<\/sup>
\nB) 28<\/sup> \u00d7 37<\/sup> \u00d7 53<\/sup> \u00d7 74<\/sup>
\nC) 28<\/sup> \u00d7 37<\/sup>
\nD) 2 \u00d7 3 \u00d7 5 \u00d7 7
\nAnswer:
\nC) 28<\/sup> \u00d7 37<\/sup><\/p>\n

Question 43.
\nThe decimal expansion of 0.225 in its rational form is
\nA) 225
\nB) \\(\\frac{225}{10^4}\\)
\nC) \\(\\frac{225}{10^2}\\)
\nD) \\(\\frac{9}{40}\\)
\nAnswer:
\nC) \\(\\frac{225}{10^2}\\)<\/p>\n

Question 44.
\nWhich of the following is a rational number ?
\nA) \\(\\sqrt{3}\\)
\nB) \\(\\sqrt{5}\\)
\nC) \\(\\sqrt{7}\\)
\nD) \\(\\sqrt{9}\\)
\nAnswer:
\nA) \\(\\sqrt{3}\\)<\/p>\n

Question 45.
\nWhat is the L.C.M of greatest 2 digit num-ber and the greatest 3 digit number ?
\nA) 99 \u00d7 999
\nB) 999
\nC) 99 \u00d7 9 \u00d7 111
\nD) 9 \u00d7 11 \u00d7 111
\nAnswer:
\nB) 999<\/p>\n

Question 46.
\nWhat is the H.C.F of n and n + 1, where n is a natural number ? ( )
\nA) n
\nB) n + 1
\nC) n\/2
\nD) 1
\nAnswer:
\nD) 1<\/p>\n

Question 47.
\nWhat is the L.C.M of least prime and the least composite number ?
\nA) least prime \u00d7 least composite
\nB) 2
\nC) least composite
\nD) 6
\nAnswer:
\nD) 6<\/p>\n

Question 48.
\nThe product of L.C.M. and H.C.F. of the least prime and least composite number is ( )
\nA) 4
\nB) 6
\nC) 8
\nD) 16
\nAnswer:
\nD) 16<\/p>\n

Question 49.
\nn2<\/sup> – 1 is divisible by 8, if n is ( )
\nA) an odd number
\nB) an even number
\nC) prime number
\nD) integer
\nAnswer:
\nB) an even number<\/p>\n

Question 50.
\nIf x and y are any two co-primes, then their L.C.M. is ( )
\nA) x + y
\nB) x . y
\nC) x\/y
\nD) x – y
\nAnswer:
\nC) x\/y<\/p>\n

Question 51.
\nIf x and y are any two relatively prime numbers, then their H.C.F is ( )
\nA) x . y
\nB) x
\nC) y
\nD) 1
\nAnswer:
\nD) 1<\/p>\n

\"TS<\/p>\n

Question 52.
\nIf m and n are co-primes, the H.C.F. of m2<\/sup> and n2<\/sup> is ( )
\nA) m
\nB) n2<\/sup>
\nC) m2<\/sup>
\nD) 1
\nAnswer:
\nA) m<\/p>\n

Question 53.
\nIf n is a natural number, then which of the following expression ends in zero ?
\nA) (3 \u00d7 2)n<\/sup>
\nB) (5 \u00d7 7)n<\/sup>
\nC) (9 \u00d7 3)n<\/sup>
\nD) (2 \u00d7 5)n<\/sup>
\nAnswer:
\nA) (3 \u00d7 2)n<\/sup><\/p>\n

Question 54.
\nThe number of prime factors of 72 is
\nA) 12
\nB) 2
\nC) 3
\nD) 6
\nAnswer:
\nC) 3<\/p>\n

Question 55.
\nHow many prime factors are there in the prime factorization of 240 ? ( )
\nA) 20
\nB) 5
\nC) 3
\nD) 6
\nAnswer:
\nB) 5<\/p>\n

Question 56.
\nAfter how many digits will the decimal expansion of 11\/32 terminates ? ( )
\nA) 5
\nB) 4
\nC) 3
\nD) Never
\nAnswer:
\nD) Never<\/p>\n

Question 57.
\np, q are co-primes and q = 2n<\/sup>.5m<\/sup> where m > n, then the decimal expansion of p\/q terminates after places.
\nA) m
\nB) n
\nC) m . n
\nD) m + n
\nAnswer:
\nA) m<\/p>\n

Question 58.
\nThe decimal expansion of \\(\\frac{9}{17}\\) is
\nA) terminating
\nB) non-terminating & non-repeating
\nC) non-terminating & repeating
\nD) none
\nAnswer:
\nD) none<\/p>\n

Question 59.
\nThe decimal expansion of \\(\\frac{27}{14}\\) is ( )
\nA) \\(1 . \\overline{9285714}\\)
\nB) \\(1.9 \\overline{285714}\\)
\nC) 1.9285714
\nD) \\(0.19 \\overline{285714}\\)
\nAnswer:
\nA) \\(1 . \\overline{9285714}\\)<\/p>\n

Question 60.
\n\\(5.6789 \\overline{1}\\) is a ……. number ( )
\nA) prime
\nB) composite
\nC) irrational
\nD) rational
\nAnswer:
\nC) irrational<\/p>\n

Question 61.
\n0.12112 1112 11112 ….. is …… number
\nA) irrational
\nB) rational
\nC) composite
\nD) prime
\nAnswer:
\nC) composite<\/p>\n

\"TS<\/p>\n

Question 62.
\n\\(\\sqrt{2}\\) – 2 is …….. number ( )
\nA) natural
\nB) rational
\nC) whole
\nD) an irrational
\nAnswer:
\nD) an irrational<\/p>\n

Question 63.
\n3 \u00d7 5 \u00d7 7 \u00d7 11 + 35 is …… number.
\nA) composite
\nB) natural
\nC) negative
\nD) none
\nAnswer:
\nB) natural<\/p>\n

Question 64.
\nThe decimal expansion of \\(\\frac{209}{80}\\) terminates after ….. places. ( )
\nA) 5
\nB) 6
\nC) 4
\nD) 9
\nAnswer:
\nA) 5<\/p>\n

Question 65.
\n7 \u00d7 11 \u00d7 17 + 34 is divisible by ………
\nA) 7 or 10
\nB) 7 or 19
\nC) 17 or 79
\nD) 8 or 231
\nAnswer:
\nC) 17 or 79<\/p>\n

Question 66.
\n\\(\\frac{73}{625}\\) has a …… decimal expansion.
\nA) Non-terminal
\nB) Terminal
\nC) Non-terminating, repeating
\nD) None
\nAnswer:
\nD) None<\/p>\n

Question 67.
\nThe number of prime factors of 1024 is ………..
\nA) 12
\nB) 9
\nC) 7
\nD) 1
\nAnswer:
\nB) 9<\/p>\n

Question 68.
\nThe decimal expansion of \\(\\frac{199}{99}\\) is ……….
\nA) \\(1 . \\overline{02}\\)
\nB) \\(1 . \\overline{07}\\)
\nC) \\(1 . \\overline{39}\\)
\nD) \\(1 . \\overline{14}\\)
\nAnswer:
\nD) \\(1 . \\overline{14}\\)<\/p>\n

Question 69.
\nThe period of the decimal expansion of \\(\\frac{19}{21}\\) is ……
\nA) 917461
\nB) 904761
\nC) 940761
\nD) None
\nAnswer:
\nA) 917461<\/p>\n

Question 70.
\nIf a rational number p\/q has a terminating decimal, then the prime factorisation q is of the form
\nA) 3m<\/sup>5n<\/sup>
\nB) 3m<\/sup>
\nC) 3m<\/sup>5n<\/sup>3p<\/sup>
\nD) 2m<\/sup>5n<\/sup>
\nAnswer:
\nC) 3m<\/sup>5n<\/sup>3p<\/sup><\/p>\n

Question 71.
\nThe prime factorisation of 20677 is
\nA) 13 \u00d7 29 \u00d7 71
\nB) 23 \u00d7 29 \u00d7 31
\nC) 19 \u00d7 23 \u00d7 17
\nD) None
\nAnswer:
\nC) 19 \u00d7 23 \u00d7 17<\/p>\n

Question 72.
\nThe LCM of 208 and 209 is …..
\nA) 208 \u00d7 109
\nB) 19 \u00d7 218
\nC) 104 \u00d7 20
\nD) 208 \u00d7 209
\nAnswer:
\nA) 208 \u00d7 109<\/p>\n

Question 73.
\nThe HCF of 1001 and 1002 is ….
\nA) 1
\nB) 7
\nC) 9
\nD) 11
\nAnswer:
\nB) 7<\/p>\n

Question 74.
\nIf p1<\/sub>, p2<\/sub>, p3<\/sub>,…… pn<\/sub> are co-primes then their LCM is …….
\nA) p3<\/sub>p5<\/sub>p7<\/sub>
\nB) p6<\/sub>p7<\/sub>…. pn<\/sub>
\nC) p1<\/sub>p2<\/sub>…….. pn<\/sub>
\nD) p2<\/sub>p4<\/sub>…..pn<\/sub>
\nAnswer:
\nC) p1<\/sub>p2<\/sub>…….. pn<\/sub><\/p>\n

\"TS<\/p>\n

Question 75.
\nIn the above problem HCF is ….
\nA) p1<\/sub>
\nB) 9
\nC) 1
\nD) 7
\nAnswer:
\nD) 7<\/p>\n

Question 76.
\nThe decimal expansion of \\(\\frac{7}{16}\\) without actual division is …….
\nA) 0.4375
\nB) 4.375
\nC) 43.75
\nD) 0.0004375
\nAnswer:
\nC) 43.75<\/p>\n

Question 77.
\nThe expansion of \\(\\frac{87}{625}\\) terminates after …. places.
\nA) 6
\nB) 4
\nC) 14
\nD) 9
\nAnswer:
\nA) 6<\/p>\n

Question 78.
\nThe expansion of \\(\\frac{123}{125}\\) terminates after ……. places.
\nA) 9
\nB) 7
\nC) 3
\nD) None
\nAnswer:
\nC) 3<\/p>\n

Question 79.
\nThe decimal form of \\(\\frac{80}{81}\\) repeats after …….. places.
\nA) 16
\nB) 12
\nC) 7
\nD) None
\nAnswer:
\nD) None<\/p>\n

Question 80.
\n\\(\\frac{70}{71}\\) is a …… decimal.
\nA) terminating
\nB) non-terminating
\nC) non-terminating, repeating
\nD) none
\nAnswer:
\nB) non-terminating<\/p>\n

Question 81.
\n\\(\\frac{123}{125}\\) is a … decimal.
\nA) terminating
\nB) non-terminating
\nC) non-terminating, repeating
\nD) none
\nAnswer:
\nC) non-terminating, repeating<\/p>\n

Question 82.
\n14.381 may certain the denominator when expressed in p\/q form is ….
\nA) 83<\/sup> \u00d7 63<\/sup>
\nB) 123<\/sup> \u00d7 43<\/sup>
\nC) 23<\/sup> \u00d7 53<\/sup>
\nD) 73<\/sup> \u00d7 83<\/sup>
\nAnswer:
\nC) 23<\/sup> \u00d7 53<\/sup><\/p>\n

Question 83.
\n5\\(\\sqrt{5}\\) + 6\\(\\sqrt{5}\\) – 2 \\(\\sqrt{5}\\) = ……
\nA) 6 \\(\\sqrt{5}\\)
\nB) 7 \\(\\sqrt{5}\\)
\nC) 2 \\(\\sqrt{5}\\)
\nD) 9 \\(\\sqrt{5}\\)
\nAnswer:
\nD) 9 \\(\\sqrt{5}\\)<\/p>\n

Question 84.
\n9 \\(\\sqrt{2}\\) \u00d7 \\(\\sqrt{2}\\) = ……
\nA) 16
\nB) 18
\nC) 19
\nD) 20
\nAnswer:
\nD) 20<\/p>\n

Question 85.
\nlog10<\/sub>10 = ……………
\nA) 0
\nB) -1
\nC) 1
\nD) 7
\nAnswer:
\nD) 7<\/p>\n

Question 86.
\nloga<\/sub>\\(\\frac{1}{a}\\) = ……
\nA) 4
\nB) 3
\nC) -1
\nD) 12
\nAnswer:
\nA) 4<\/p>\n

Question 87.
\nlogb<\/sub>a . loga<\/sub>b = ……
\nA) 7
\nB) 3
\nC) 4
\nD) 1
\nAnswer:
\nA) 7<\/p>\n

Question 88.
\nlog1<\/sub>1 = …………
\nA) 1
\nB) -1
\nC) 0
\nD) not defined
\nAnswer:
\nD) not defined<\/p>\n

Question 89.
\nlog0.1<\/sub>0.01 = ……..
\nA) 8
\nB) 6
\nC) 9
\nD) None
\nAnswer:
\nB) 6<\/p>\n

\"TS<\/p>\n

Question 90.
\nlog 2 + log 5 = …….
\nA) 1
\nB) 2
\nC) 9
\nD) 12
\nAnswer:
\nA) 1<\/p>\n

Question 91.
\n16 \u00d7 64 = 4k<\/sup> then k = ……..
\nA) 9
\nB) 12
\nC) 5
\nD) 19
\nAnswer:
\nC) 5<\/p>\n

Question 92.
\na + b = b + a is called …….. property.
\nA) Associative
\nB) Identity
\nC) Inverse
\nD) Commutative
\nAnswer:
\nB) Identity<\/p>\n

Question 93.
\nlog5<\/sub>125 = ……..
\nA) 5
\nB) 3
\nC) 15
\nD) 12
\nAnswer:
\nC) 15<\/p>\n

Question 94.
\nExponential form of log4<\/sub>64 = 3 is ……..
\nA) 43<\/sup> = 64
\nB) 34<\/sup> = 64
\nC) 42<\/sup> = 81
\nD) None
\nAnswer:
\nA) 43<\/sup> = 64<\/p>\n

Question 95.
\nlog 15 = ……..
\nA) log 5 + log 10
\nB) log 3 + log 12
\nC) log 5 + log 3
\nD) all the above
\nAnswer:
\nD) all the above<\/p>\n

Question 96.
\n\\(\\frac{1}{\\sqrt{2}}\\) is a ………. number.
\nA) rational
\nB) an irrational
\nC) natural
\nD) whole
\nAnswer:
\nB) an irrational<\/p>\n

Question 97.
\nQ \u222a Q’ = ………..
\nA) P
\nB) C
\nC) R
\nD) None
\nAnswer:
\nA) P<\/p>\n

Question 98.
\n……….. is called the additive identity.
\nA) 0
\nB) 1
\nC) 2
\nD) None
\nAnswer:
\nB) 1<\/p>\n

Question 99.
\n\\(\\sqrt{2}\\) = 1.414 then 3 \\(\\sqrt{2}\\) = ………..
\nA) 2.42
\nB) 13.42
\nC) 42.42
\nD) 4.242
\nAnswer:
\nD) 4.242<\/p>\n

Question 100.
\n\\(\\frac{23}{2^3 \\cdot 5^2}\\) = ……….
\nA) 11.5
\nB) 0.115
\nC) 1.15
\nD) 115.1
\nAnswer:
\nA) 11.5<\/p>\n

\"TS<\/p>\n

Question 101.
\n0.9375 = ……….
\nA) \\(\\frac{15}{16}\\)
\nB) \\(\\frac{5}{16}\\)
\nC) \\(\\frac{16}{15}\\)
\nD) \\(\\frac{18}{1199}\\)
\nAnswer:
\nA) \\(\\frac{15}{16}\\)<\/p>\n

Question 102.
\n4\\(\\frac{1}{5}\\) = ……….
\nA) 4.12
\nB) 4.2
\nC) 0.42
\nD) 4.02
\nAnswer:
\nB) 4.2<\/p>\n

Question 103.
\n\\(\\frac{5}{11}\\) = ……….
\nA) \\(0 . \\overline{43}\\)
\nB) \\(0 . \\overline{44}\\)
\nC) \\(0 . \\overline{31}\\)
\nD) \\(0 . \\overline{45}\\)
\nAnswer:
\nD) \\(0 . \\overline{45}\\)<\/p>\n

Question 104.
\nLCM of 12, 15 and 21 is ………
\nA) 420
\nB) 440
\nC) 820
\nD) 110
\nAnswer:
\nA) 420<\/p>\n

Question 105.
\n0.4 = ……..
\nA) \\(\\frac{2}{5}\\)
\nB) \\(\\frac{5}{2}\\)
\nC) \\(\\frac{1}{9}\\)
\nD) None
\nAnswer:
\nA) \\(\\frac{2}{5}\\)<\/p>\n

Question 106.
\n\\(\\sqrt{\\frac{4}{9}}\\) = …………
\nA) \\(\\frac{3}{2}\\)
\nB) \\(\\frac{2}{3}\\)
\nC) \\(\\frac{\\sqrt{2}}{3}\\)
\nD) \\(\\frac{2}{\\sqrt{3}}\\)
\nAnswer:
\nB) \\(\\frac{2}{3}\\)<\/p>\n

Question 107.
\nHCF of 12, 18 is …………
\nA) 12
\nB) 9
\nC) 2
\nD) 6
\nAnswer:
\nD) 6<\/p>\n

Question 108.
\n22<\/sup> \u00d7 5 \u00d7 7 = ………..
\nA) 240
\nB) 144
\nC) 140
\nD) 909
\nAnswer:
\nC) 140<\/p>\n

Question 109.
\nlogaa<\/sub> 1 ……. a > 0
\nA) a2<\/sup>
\nB) 2
\nC) 1
\nD) 0
\nAnswer:
\nD) 0<\/p>\n

Question 110.
\nlog2015<\/sub>2015 = ………
\nA) 15
\nB) 1
\nC) 5
\nD) 0
\nAnswer:
\nB) 1<\/p>\n

Question 111.
\nMultiplicative inverse of 3\\(\\frac{1}{3}\\) is ……..
\nA) 3\\(\\frac{1}{3}\\)
\nB) \\(\\frac{3}{13}\\)
\nc) \\(\\frac{3}{10}\\)
\nd) \\(\\frac{3}{14}\\)
\nAnswer:
\nc) \\(\\frac{3}{10}\\)<\/p>\n

\"TS<\/p>\n

Question 112.
\n(ab)c = a(bc) is called …….. property.
\nA) Associative
\nB) Inverse
\nC) Identity
\nD) None
\nAnswer:
\nA) Associative<\/p>\n

Question 113.
\n\\(\\frac{41}{75}\\) = ………..
\n\"TS
\nAnswer:
\n\"TS<\/p>\n

Question 114.
\nlog 64 – log 4 = ………..
\nA) 4
\nB) 7
\nC) 1
\nD) None
\nAnswer:
\nD) None<\/p>\n

Question 115.
\nLCM of 306 and 657 is …….
\nA) 22338
\nB) 23238
\nC) 11128
\nD) None
\nAnswer:
\nA) 22338<\/p>\n

Question 116.
\n\\(\\frac{1167}{50}\\) = ……….
\nA) 1.675
\nB) 23.34
\nC) 81.45
\nD) None
\nAnswer:
\nB) 23.34<\/p>\n

Question 117.
\n6n<\/sup> can not end with ………
\nA) 6
\nB) 0
\nC) 2
\nD) None
\nAnswer:
\nB) 0<\/p>\n

Question 118.
\n\\(\\sqrt{\\mathbf{2 0 2 5}}\\) = ………..
\nA) 405
\nB) 54
\nC) 45
\nD) 55
\nAnswer:
\nC) 45<\/p>\n

Question 119.
\n55<\/sup> = ……….
\nA) 1325
\nB) 1125
\nC) 3125
\nD) 1859
\nAnswer:
\nC) 3125<\/p>\n

Question 120.
\n\\(\\frac{3}{8}\\) = ………
\nA) 0.375
\nB) 3.75
\nC) 8.175
\nD) None
\nAnswer:
\nA) 0.375<\/p>\n

Question 121.
\n\\(\\sqrt{5}\\) = ……..
\nA) 1.414
\nB) 2.236
\nC) 1.73
\nD) 2.998
\nAnswer:
\nB) 2.236<\/p>\n

Question 122.
\nlog2<\/sub>16 = ………….
\nA) 2
\nB) 8
\nC) 4
\nD) 12
\nAnswer:
\nC) 4<\/p>\n

\"TS<\/p>\n

Question 123.
\n2 log 3 + 3 log 5 – 5 log 2 = ………
\nA) log \\(\\frac{1125}{32}\\)
\nB) log \\(\\frac{125}{23}\\)
\nC) log \\(\\frac{1025}{16}\\)
\nD) None
\nAnswer:
\nA) log \\(\\frac{1125}{32}\\)<\/p>\n

Question 124.
\nlog2<\/sub> 1024 = ……….
\nA) 16
\nB) 20
\nC) 19
\nD) 10
\nAnswer:
\nD) 10<\/p>\n

Question 125.
\nlog18<\/sub> 324 = ………
\nA) 2
\nB) 16
\nC) 19
\nD) 12
\nAnswer:
\nA) 2<\/p>\n

Question 126.
\nlog3<\/sub> \\(\\frac{1}{27}\\) = ………
\nA) 3
\nB) 6
\nC) -3
\nD) -7
\nAnswer:
\nC) -3<\/p>\n

Question 127.
\nlog6<\/sub> 1 = ………….
\nA) 12
\nB) 19
\nC) 7
\nD) 0
\nAnswer:
\nD) 0<\/p>\n

Question 128.
\n128 + 32 = ……
\nA) 9
\nB) 6
\nC) 4
\nD) None
\nAnswer:
\nC) 4<\/p>\n

Question 129.
\nlog10<\/sub> 10000 = ……
\nA) 4
\nB) 3
\nC) 2
\nD) None
\nAnswer:
\nA) 4<\/p>\n

Question 130.
\nlog27<\/sub> 9 ……….
\nA) \\(\\frac{3}{2}\\)
\nB) \\(\\frac{2}{3}\\)
\nC) 1
\nD) A) \\(\\frac{1}{2}\\)
\nAnswer:
\nB) \\(\\frac{2}{3}\\)<\/p>\n

Question 131.
\nlog7<\/sub> \\(\\sqrt{49}\\) = ……..
\nA) 1
\nB) 10
\nC) 11
\nD) 12
\nAnswer:
\nA) 1<\/p>\n

Question 132.
\nExpanded form of log 1000 is
\nA) 3 log 2 + 3 log 5
\nB) 2 log 2 + log 5
\nC) log 2 – log 5
\nD) None
\nAnswer:
\nA) 3 log 2 + 3 log 5<\/p>\n

\"TS<\/p>\n

Question 133.
\n\\(\\frac{3}{2}\\) (log x) – (log y) = ………….
\nA) log \\(\\frac{\\sqrt{x^3}}{y^2}\\)
\nB) log \\(\\sqrt{\\frac{x^3}{y^2}}\\)
\nC) log \\(\\frac{x^3}{y^2}\\)
\nD) None
\nAnswer:
\nB) log \\(\\sqrt{\\frac{x^3}{y^2}}\\)<\/p>\n

Question 134.
\n\\(\\frac{13}{4}\\) = ………….
\nA) 3.1251
\nB) 1.15
\nC) 3.25
\nD) None
\nAnswer:
\nC) 3.25<\/p>\n

Question 135.
\n(\\(\\sqrt{7}\\) + \\(\\sqrt{5}\\)) (\\(\\sqrt{7}\\) – \\(\\sqrt{5}\\)) = ……
\nA) 12
\nB) 10
\nC) 9
\nD) 2
\nAnswer:
\nD) 2<\/p>\n

Question 136.
\n2 \\(\\sqrt{3}\\) + 7 \\(\\sqrt{3}\\) + \\(\\sqrt{3}\\)
\nA) 110 \\(\\sqrt{3}\\)
\nB) 7 \\(\\sqrt{3}\\)
\nC) 9 \\(\\sqrt{3}\\)
\nD) 10 \\(\\sqrt{3}\\)
\nAnswer:
\nD) 10 \\(\\sqrt{3}\\)<\/p>\n

Question 137.
\nlog2<\/sub> 512 = ……
\nA) 9
\nB) 10
\nC) 3
\nD) 12
\nAnswer:
\nA) 9<\/p>\n

Question 138.
\nLogarithmic form of ax<\/sup> = b is ………..
\nA) logb<\/sub> x = a
\nB) logx<\/sub> b = a
\nC) logb<\/sub> a = x
\nD) loga<\/sub> b = x
\nAnswer:
\nD) loga<\/sub> b = x<\/p>\n

Question 139.
\n104<\/sup> = ………
\nA) 10009
\nB) 10090
\nC) 10000
\nD) None
\nAnswer:
\nC) 10000<\/p>\n

Question 140.
\n……….. has no multiplication inverse.
\nA) \\(\\frac{9}{7}\\)
\nB) \\(\\frac{2}{3}\\)
\nC) \\(\\frac{9}{14}\\)
\nD) 0
\nAnswer:
\nD) 0<\/p>\n

Question 141.
\n|-203| = ………….
\nA) 101
\nB) -203
\nC) 302
\nD) 203
\nAnswer:
\nD) 203<\/p>\n

Question 142.
\nlog3<\/sub>\\(\\frac{1}{9}\\) = …….
\nA) 6
\nB) 4
\nC) 2
\nD) None
\nAnswer:
\nD) None<\/p>\n

Question 143.
\nHCF of 1 and 143 = …….
\nA) 1
\nB) 43
\nC) 34
\nD) 10
\nAnswer:
\nA) 1<\/p>\n

Question 144.
\na(b + c) = ………
\nA) ab + c
\nB) bc + d
\nC) ab + ac
\nD) a + bc
\nAnswer:
\nC) ab + ac<\/p>\n

Question 145.
\na + (-a) = 0 = (-a) + a is called ……. property.
\nA) Inverse
\nB) Identity
\nC) Commutative
\nD) None
\nAnswer:
\nA) Inverse<\/p>\n

Question 146.
\nlog3<\/sub>\\(\\frac{1}{9}\\) = ……….
\nA) \\(\\frac{1}{4}\\)
\nB) \\(\\frac{1}{2}\\)
\nC) \\(\\frac{-5}{2}\\)
\nD) \\(\\frac{-2}{5}\\)
\nAnswer:
\nD) \\(\\frac{-2}{5}\\)<\/p>\n

\"TS<\/p>\n

Question 147.
\nlog10<\/sub>100 = ………..
\nA) 2
\nB) 6
\nC) 0.1
\nD) None
\nAnswer:
\nA) 2<\/p>\n

Question 148.
\n\\(\\sqrt{12544}\\) = ………
\nA) 161
\nB) 122
\nC) 112
\nD) 113
\nAnswer:
\nC) 112<\/p>\n

Question 149.
\n\\(\\sqrt{a}\\) – \\(\\sqrt{b}\\) = …………
\nA) ab
\nB) b\\(\\sqrt{a}\\)
\nC) a\\(\\sqrt{b}\\)
\nD) \\(\\sqrt{ab}\\)
\nAnswer:
\nD) \\(\\sqrt{ab}\\)<\/p>\n

Question 150.
\nWhich of the following is a correct one
\nA) N \u2282 Z \u2282 W
\nB) N \u2282 W \u2282 Z
\nC) R \u2282 N \u2282 W
\nD) All the above
\nAnswer:
\nB) N \u2282 W \u2282 Z<\/p>\n

Question 151.
\nlogx<\/sub> \\(\\frac{\\mathbf{a}}{\\mathbf{b}}\\) = …………..
\nA) logx<\/sub> a – logx<\/sub> b
\nB) logx<\/sub> a + logx<\/sub> b
\nC) logx ab
\nD) None
\nAnswer:
\nA) logx<\/sub> a – logx<\/sub> b<\/p>\n","protected":false},"excerpt":{"rendered":"

Solving these TS 10th Class Maths Bits with Answers Chapter 1 Real Numbers Bits for 10th Class will help students to build their problem-solving skills. Real Numbers Bits for 10th Class Question 1. is A) a rational number B) an irrational number C) an odd number D) none of these Answer: A) a rational number … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/11989"}],"collection":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/comments?post=11989"}],"version-history":[{"count":7,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/11989\/revisions"}],"predecessor-version":[{"id":13120,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/11989\/revisions\/13120"}],"wp:attachment":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/media?parent=11989"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/categories?post=11989"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/tags?post=11989"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}