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

MOST IMPORTANT quantitative aptitude - 6 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on number system topic of quantitative aptitude

Questions : 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

The correct answers to the above question in:

Answer: (b)

If the number be x, then

x – 31 = 75 – x

⇒ 2x = 75 + 31 = 106

⇒ x = 53

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Read more smallest largest number Based Quantitative Aptitude Questions and Answers

Question : 1

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 : 2

Which of the following fraction is the smallest? $7/6, 7/9, 4/5, 5/7$

a) $4/5$

b) $5/7$

c) $7/ 9$

d) $7/6$

Answer: (b)

$7/6$ = 1.166 ; $7/9$ = 0.777; $4/5$ = 0.8 and $5/7$ = 0.714

Therefore, the smallest number is $5/7$

Question : 3

Which of the following is the largest fraction ? $6/7, 5/6, 7/8, 4/5$

a) $5/6$

b) $7/8$

c) $4/5$

d) $6/7$

Answer: (b)

The decimal equivalents of :

$6/7 = 0.857, 5/6 = 0.833$

$∴7/8 = 0.875, 4/5 = 0.8$

Obviously, 0.875 is the greatest.

$7/8$ is the largest fraction.

Question : 4

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 : 5

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) $8/25$

Answer: (b)

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

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

$∴14/53$ is the smallest fraction.

Question : 6

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)

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

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

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