Which of the following rational numbers lies between 34 and 138-

The correct option is B 1916 Mean = (34 + 138 )2 = 6 + 138×12 = 1916 .Mean of two numbers always lies between the two numbers.So, answer is option ...

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Standard VIII

Mathematics

Rational Numbers between Two Rational Numbers

Which of the ...

Question

Which of the following rational numbers lies between $\frac{3}{4}$ and $\frac{13}{8}$ ?

\frac{11}{16}

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\frac{12}{16}

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\frac{19}{16}

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\frac{26}{16}

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Solution

The correct option is B $\frac{19}{16}$
$M e a n = \frac{(\frac{3}{4} + \frac{13}{8})}{2} = \frac{6 + 13}{8} \times \frac{1}{2} = \frac{19}{16}$ .
Mean of two numbers always lies between the two numbers.
So, answer is option $C .$

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Similar questions

Q. Simplify:

(i)(−8) × 9 + (−8) × 7
(ii) 9 × (−13) + 9 × (−7)
(iii) 20 × (−16) + 20 × 14
(iv) (−16) × (−15) + (−16) × (−5)
(v) (−11) × (−15) + (−11) × (−25)
(vi) 10 × (−12) + 5 × (−12)
(vii) (−16) × (−8) + (−4) × (−8)
(viii) (−26) × 72 + (−26) × 28

Fill in the blanks.

(i) $(\frac{- 3}{17}) + (\frac{- 12}{5}) = (\frac{- 12}{5}) + (. . . . .)$

(ii) $- 9 + \frac{- 21}{8} = (. . . . . .) + (- 9)$

(iii) $(\frac{- 8}{13} + \frac{3}{7}) + (\frac{- 13}{4}) = (. . . . . .) + [\frac{3}{7} + (\frac{- 13}{4})]$

(iv) $- 12 + (\frac{7}{12} + \frac{- 9}{11}) = (- 12 + \frac{7}{12}) + (. . . . .)$

(v) $\frac{19}{- 5} + (\frac{- 3}{11} + \frac{- 7}{8}) = {\frac{19}{- 5} + (. . . . .)} + \frac{- 7}{8}$

(vi) $\frac{- 16}{7} + . . . . . = . . . . . . + \frac{- 16}{7} = \frac{- 16}{7}$

Q. 2, 20, 19, 12, 14 ; 3, 13, 12, 16, 15 ; 4, 14, 16, 8, 7 ; ?

source $(i) \frac{8}{9} + \frac{- 11}{6} (i i) 3 + \frac{5}{- 7} (i i i) \frac{1}{- 12} a n d \frac{2}{- 15} (i v) \frac{- 8}{19} + \frac{- 4}{57} (v) \frac{7}{9} + \frac{3}{- 4} (v i) \frac{5}{26} + \frac{11}{- 39} (v i i) \frac{- 16}{9} + \frac{- 5}{12} (v i i i) \frac{- 13}{8} + \frac{5}{36} (i x) 0 + \frac{- 3}{5} (x) 1 + \frac{- 4}{5} (x i) \frac{- 5}{16} + \frac{7}{24}$

The rational number which is not lying between $\frac{5}{16}$ and $\frac{1}{2}$ is
$(a) \frac{3}{8}$

$(b) \frac{7}{16}$

$(c) \frac{1}{4}$

$(d) \frac{13}{32}$

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Which of the following rational numbers lies between 34 and 138?

The correct option is B 1916Mean=(34+138)2=6+138×12=1916.Mean of two numbers always lies between the two numbers.So, answer is option C.

Which of the following rational numbers lies between $\frac{3}{4}$ and $\frac{13}{8}$ ?

The correct option is B $\frac{19}{16}$
$M e a n = \frac{(\frac{3}{4} + \frac{13}{8})}{2} = \frac{6 + 13}{8} \times \frac{1}{2} = \frac{19}{16}$ .
Mean of two numbers always lies between the two numbers.
So, answer is option $C .$