math
Fractions
पडताळलेले उत्तर (Verified)
MPSC सराव प्रश्न:
सूचना: खालील प्रश्नात प्रश्नचिन्हाच्या (?) जागी काय येईल? \(7\frac{?}{{24}} + 6\frac{1}{6} + 8\frac{3}{8} - 2\frac{1}{4} = 20\)
DIRECTIONS: What should come in place of the question mark (?) in the following question? \(7\frac{?}{{24}} + 6\frac{1}{6} + 8\frac{3}{8} - 2\frac{1}{4} = 20\)
पर्याय (Options):
A
7
B
19
C
अचूक उत्तर (Official Answer)
17
D
13
सविस्तर स्पष्टीकरण (Detailed Explanation):
अचूक उत्तर: पर्याय (3)
दिलेले:
\(7\frac{?}{{24}} + 6\frac{1}{6} + 8\frac{3}{8} - 2\frac{1}{4} = 20\)
गणना:
\(7\dfrac{?}{{24}} + 6\dfrac{1}{6} + 8\dfrac{3}{8} - 2\dfrac{1}{4} = 20\)
⇒ \(7\dfrac{?}{24}+\dfrac{37}{6} + \dfrac{67}{8} - \dfrac{9}{4} \) = 20
⇒ \(7\dfrac{?}{24} + \dfrac{37×4+67×3-9×6}{24} \)
= 20
⇒ \(\dfrac{168+?}{24} +\dfrac{295}{24}\)= 20
⇒ 168 + ? + 295 = 20 x 24
⇒ 463 + ? = 480
⇒ ? = 480 - 463 = 17
म्हणून, आवश्यक असलेली किंमत 17 आहे.