Decimal and Fraction (Level - 1)
Q1–10 of 60Out of the fractions 3/7, 4/11, 5/9, 6/13, 7/12 whiich is the second largest ?
Which of the following has fractions in ascending order?
$\frac{3}{5} = 0.6$
$\frac{2}{3} \approx 0.666$
$\frac{7}{9} \approx 0.777$
$\frac{9}{11} \approx 0.818$
$\frac{8}{9} \approx 0.888$
Since $0.6 < 0.666 < 0.777 < 0.818 < 0.888$, option (c) is correctly arranged in ascending order.
Which of the following are in descending order of their values?
$\frac{11}{17} \approx 0.647$
$\frac{7}{11} \approx 0.636$
$\frac{5}{9} \approx 0.555$
$\frac{8}{15} \approx 0.533$
Descending order (largest to smallest): $\frac{11}{17} > \frac{7}{11} > \frac{5}{9} > \frac{8}{15}$ Correct option: (d).
What is the difference between the biggest and the smallest fraction among 2/3, 3/4, 4/5 and 5/6?
Biggest fraction is $\frac{5}{6}$ and smallest is $\frac{2}{3}$.
Difference: $\frac{5}{6} - \frac{2}{3} = \frac{5 - 4}{6} = \frac{1}{6}$
Correct option: (a).
If the fractions 2/5,3/8,4/9,5/13 and 6/11 are arranged in ascending order of their values, which one will be the fourth?
$\frac{3}{8} = 0.375$
$\frac{5}{13} \approx 0.384$
$\frac{2}{5} = 0.400$
$\frac{4}{9} \approx 0.444$
$\frac{6}{11} \approx 0.545$
Ascending order: $\frac{3}{8} < \frac{5}{13} < \frac{2}{5} < \frac{4}{9} < \frac{6}{11}$ The 4th fraction is $\frac{4}{9}$. Correct option: (c)
Which part contains the fractions in ascending order?
$\frac{11}{14} \approx 0.7857$
$\frac{16}{19} \approx 0.8421$
$\frac{19}{21} \approx 0.9047$
Since $0.7857 < 0.8421 < 0.9047$, option (a) is in ascending order.
The arrangement of rational numbers −7/10, 5/−8, 2/−3 in ascending order is
$-\frac{7}{10} = -0.70$
$\frac{2}{-3} = -\frac{2}{3} \approx -0.666$
$\frac{5}{-8} = -\frac{5}{8} = -0.625$
For negative numbers, smaller absolute value is larger: $-0.70 < -0.666 < -0.625$ Ascending order: $-\frac{7}{10} < \frac{2}{-3} < \frac{5}{-8}$ Correct option: (d)
Which of the following fractions lies between 2/3 and 3/5 ?
Convert boundaries to decimals:
$\frac{3}{5} = 0.60$
$\frac{2}{3} \approx 0.667$
Check option (d): $\frac{31}{50} = 0.62$ Since $0.60 < 0.62 < 0.667$, $\frac{31}{50}$ lies between them. Correct option: (d)
Which of the following is closest to zero?
Evaluate each expression:
(a) $(0.09)^2 = 0.0081$
(b) $0.09$
(c) $(1 - 0.9)^2 = (0.1)^2 = 0.01$
(d) $1 - (0.9)^2 = 1 - 0.81 = 0.19$
The value closest to $0$ is $0.0081$. Correct option: (a)
What will come in place of question mark in the following equation?
54.(?)3 + 543 + 5.43 = 603.26
Let the missing digit be $x$.
$54.x3 + 543 + 5.43 = 603.26$
$548.43 + 54.x3 = 603.26$
$54.x3 = 603.26 - 548.43 = 54.83$
Comparing digits gives $x = 8$.
Correct option: (c)