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

MOST IMPORTANT quantitative aptitude - 6 EXERCISES

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The following question based on number system topic of quantitative aptitude

Questions : Which of the following is the smallest fraction ?$8/25, 7/23, 11/23, 14/53$

(a) $11/23$

(b) $14/53$

(c) $7/23$

(d) $8/25$

The correct answers to the above question in:

Answer: (b)

$8/25 = 0.32, 7/23 = 0.30$

$11/23 = 0.47, 14/53 =0.26$

$∴14/53$ is the smallest fraction.

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Read more smallest largest number Based Quantitative Aptitude Questions and Answers

Question : 1

The least among the fractions $15/16, 19/20, 24/25, 34/35$ is

a) $19/20$

b) $24/25$

c) $15/16$

d) $34/35$

Answer: (c)

$15/16 = 0.94 ; 19/20 = 0.95$

$24/25 = 0.96; 34/35 = 0. 97$

Question : 2

If a number is as much greater than 31 as it is less than 75, then the number is

a) 74

b) 53

c) 44

d) 106

Answer: (b)

If the number be x, then

x – 31 = 75 – x

⇒ 2x = 75 + 31 = 106

⇒ x = 53

Question : 3

The greatest among the following numbers $(3)^{1/3}, (2)^{1/2}, 1, (6)^{1/6}$ is :

a) $(6)^{1/6}$

b) $(3)^{1/3}$

c) 1

d) $(2)^{1/2}$

Answer: (b)

LCM of 3, 2 and 6 = 6

∴ $(3)^{1/3}$ = $(3^2)^{1/6}$ = $(9)^{1/6}$

$(2)^{1/2}$ = $(2^3)^{1/6}$ = $(8)^{1/6}$

$(1)^{1/6}$ = 1; $(6)^{1/6}$ = $(6)^{1/6}$

Question : 4

The greatest value among the fractions $2/7,1/3,5/6,3/4$ is :

a) $1/3$

b) $2/7$

c) $5/6$

d) $3/4$

Answer: (c)

$2/7 = 0.286 ; 1/3 = 0.33$

$5/6 = 0.833; 3/4 = 0. 75$

Question : 5

Which is the largest of the following fractions ? $2/3, 3/5, 8/11, 11/17$

a) 11/17

b) 2/3

c) 3/5

d) 8/11

Answer: (d)

$2/3$ = 0.66; $3/5$ = 0.6

$8/11$ = 0.73; $11/17$ = 0.65

Question : 6

Arrangement of the fractions $4/3, -2/9, -7/8, 5/12$ into ascending order is

a) – $2/9$ , – $7/8$ , $5/12$ , $4/3$

b) – $2/9$ , – $7/8$ , $4/3$ , $5/12$

c) – $7/8$ , – $2/9$ , $4/3$ , $5/12$

d) – $7/8$ , – $2/9$ , $5/12$ , $4/3$

Answer: (d)

Decimal equivalents of fractions :

$4/3$ = 1.3

${–2}/9$ = –0.2

${–7}/8$ = – 0.875

$5/12$ = 0.42

∴ – 0.875 < – 0.2 < 0.42 < 1.3

i.e., ${-7}/8$ < ${-2}/9$ < $5/12$ < $4/3$

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