model 1 find largest and smallest value Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1 [SSC CGL Tier-II 2015]

The greatest number among $3^50 , 4^40, 5^30$ and $6^20$ is

a) $5^30$

b) $3^50$

c) $4^40$

d) $6^20$

Answer: (c)

$3^50 , 4^40, 5^30$ and $6^20$

$3^50=(3^5)^10=(243)^10$

$4^40=(4^4)^10=(256)^10$

$5^30=(5^3)^10=(125)^10$

$6^20=(6^2)^10=(36)^10$

∴ Largest number =$4^40$

Question : 2 [SSC CHSL 2011]

The greatest of the numbers $√^2{8}, √^4{13}, √^5{16}, √^10{41}$ is:

a) $√^10{41}$

b) $ √^4{13}$

c) $√^5{16}$

d) $√^2{8}$

Answer: (d)

$√^2{8}, √^4{13}, √^5{16}, √^10{41}$

LCM of 2, 4, 5 and 10 = 20

$√^2{8}=√^20{8^10}; √^4{13}=√^20{13^5}$

$√^5{16}=√^20{16^4}; √^10{41}=√^20{41^2}$

Clearly, $√^2{8}$ is the largest.

Question : 3

The smallest among the numbers $2^250, 3^150, 5^100$ and $4^200$

a) $3^150$

b) $4^200$

c) $5^100$

d) $2^250$

Answer: (c)

$2^250=(2^5)^50=(32)^50$

$3^150=(3^3)^50=(27)^50$

$5^100=(5^2)^50=(25)^50$

$4^200=(4^4)^50=(256)^50$

∴ The smallest number =$(5)^100$

Question : 4

Which of the following number is the least? $(0.5)^2, √{0.49}, √^3{0.008}, 0.23$

a) $√^3{0.008}$

b) $(0.5)^2$

c) $√{0.49}$

d) 0.23

Answer: (a)

$(0.5)^2, √{0.49}, √^3{0.008}, 0.23$

$(0.5)^2$=0.25

$√{0.49}$=0.7

$√^3{0.008}$=0.2

0.23 = 0.23

∴ $√{0.49}>(0.5)^2>0.23>√^3{0.008}$

Question : 5

The greatest among the numbers $√{0.09}, √^3{0.064},$ 0.5 and $3/5$ is

a) 0.5

b) $√{0.09}$

c) $√^3{0.064}$

d) $3/5$

Answer: (d)

$√{0.09}, √^3{0.064},$ 0.5 and $3/5$

$√{0.09}=0.3$

$√^3{0.064}=0.4$; 0.5;

$3/5$= 0.6

Clearly, $√{0.09}<√^3{0.064}<0.5<3/5$

IMPORTANT quantitative aptitude EXERCISES

model 1 find largest and smallest value Shortcuts »

Click to Read...

model 1 find largest and smallest value Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

100+ One Word Substitution Practice Test, PDF for SSC

Learn more One Word Substitution questions and answers, PDF for SSC. The most important General English MCQ Practice exercise for all competitive exams

11-Jul-2024 by Careericons

Continue Reading »

Top Para Jumbled Sentences Questions PDF for SSC Exams

New Para-Jumbles or Jumbled-Sentences Questions and Answers with PDF for SSC. General English Rearrangement of Sentences model exercise for all Bank Exams

11-Jul-2024 by Careericons

Continue Reading »

Top Permutation and Combination Practice Questions PDF

Top Permutation and Combination Questions and Answers with Solutions, PDF for SSC. Best Aptitude MCQ Practice Exercise for all competitive, Govt exams

10-Jul-2024 by Careericons

Continue Reading »

Top 100+ Probability MCQ Questions and Answers PDF: SSC

Recent Probability Multiple Choice Questions and Answers with Detailed Solution, download PDF for SSC. Aptitude practice exercise for all Government exams

10-Jul-2024 by Careericons

Continue Reading »