model 5 smallest and largest fraction/numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (c)

The smallest number of 5 digits = 10000

Remainder on dividing 10000 by 123 = 37

∴ Required number = 10000 + (123 – 37) = 10086

Answer: (b)

The smallest number of 5 digits = 10000

Now,

$10000/476$=21$4/476$

∴Required number = 10000 + (476 – 4)

= 10000 + 472 = 10472

Answer: (a)

$(0.1)^2$ = 0.01

$√{0.0121} $= $√{0.11×0.11}$= 0.11

$√{0.0004}$ = 0.02

⇒0.01< 0.02 < 0.11 < 0.12

Answer: (c)

Decimal equivalents :

$4/9$ = 0. 4: $√{9/49}$ = $3/7$ = 0.43

0.45 : $(0.8)^2$ = 0.64

∴ Least number = 0.43 = $√{9/49}$

Answer: (b)

$8/15, 14/33, 7/13, 11/13$

$8/15$ = 0.53$\ov{3}$

$14/33$ = 0.$\ov{42}$

$7/13$ = 0.538

$11/13$ = 0.846

∴$11/13>7/13>8/15>14/33$

Answer: (c)

Let the three fractions be p, q and r,

where p < q < r.

According to the question,

$r/p$ = $7/6$ ⇒ r = $7/6$ p

Again, middle fraction

= q = $7/6$ - $1/3$ = ${7-2}/6$ = $5/6$

∴ p+q+r = 2$11/24$

⇒ p + $5/6$ + $7/6$p = $59/24$

⇒ p+${7p}/6$ = $59/24$ - $5/6$

⇒ ${6p+7p}/6$ = ${59-20}/24$ = $93/24$

⇒ 13p = $39/24$×6 = $39/4$

⇒ p = $39/{4×13}$ = $3/4$