model 5 smallest and largest fraction/numbers Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16 [SSC CHSL 2012]

The largest among the numbers $(0.1)^ 2 , √{0.0121}$ , 0.12 and $√{0.0004}$ is

a) 0.12

b) $?{0 .0004}$

c) $?{0 .0121}$

d) $(0.1)^2$

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

Question : 17

Which of the following fraction is the smallest ? $9/13, 17/26, 28/29, 33/52$

a) 9/13$

b) $28/29$

c) $17/26$

d) $33/52$

Answer: (d)

$9/13 = {9×4}/{13×4} = 36/52$

$ 17/26={17×2}/{26×2} = 34/52 $

$33/52 = 33/52 $

Among these $33/52$ is the smallest

Again, $28/29 = 56/58 > 33/52$

Question : 18 [SSC CGL Prelim 2004]

The greatest number among $0.7 + √{0.16}, 1.02 – 0.6/24,$ $1.2 × 0.83 \text" and " √{1.44}$ is :

a) 1.2 × 0.83

b) 1.02 – $0.6/24$.

c) $√1.44$

d) 0.7 + $?0.16$

Answer: (c)

0.7 + $√{0.16}$ = 0.7 + 0.4 = 1.1

1.02 – $0.6/24$ = 1.02 – 0.025

= 0.995

1.2 × 0.83 = 0.996

$√{144}$ = 12

Hence, the greatest number

= $?{144}$

Question : 19 [SSC CGL 2000]

smallest possible three place decimal number is :

a) 0.111

b) None of the above

c) 0.123

d) 0.012

Answer: (b)

The smallest possible three place decimal number = 0.001

Question : 20 [SSC CGL Tier-II 2016]

Which of the following is correct ?

a) $11/15$ <$3/5$ < $2/3$

b) $3/5$ < $11/15$ < $2/3$

c) $3/5$ < $2/3$ < $11/15$

d) $2/3$ < $3/5$ < $11/15$

Answer: (c)

On making denominators equal,

$3/5$ = ${3 × 3}/{5 × 3}$ = $9/15$

$2/3$ = ${2 × 5}/{3× 5}$ = $10/15$

$11/15$ = $11/15$

∴ $9/15$ < $10/15$ < $11/15$

⇒ $3/5$ < $2/3$ < $11/15$

IMPORTANT quantitative aptitude EXERCISES

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