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

Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024

Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024

01-May-2024 by Careericons

Continue Reading »

SSC STENO: Mensuration Area & Volume Questions Test PDF

Free Mensuration Area and Volume Aptitude-based Practice multiple questions with solutions, Quiz, Full Mock Test & PDF for SSC Steno (Grade C & D) 2024 Exam

30-Apr-2024 by Careericons

Continue Reading »

SSC STENO: Speed Time and Distance MCQ Questions Test PDF

Free Time and Distance Aptitude-based Practice multiple questions with solutions, Quiz series, Mock Test & Download PDF for SSC Steno (Grade C & D) 2024 Exam

29-Apr-2024 by Careericons

Continue Reading »

SSC STENO: Time & Work Questions Solved Problems with PDF

Free Time and work Aptitude-based Practice multiple questions with solutions, Quiz series, Mock Test & Downloadable PDF for SSC Steno (Grade C & D) 2024 Exam

27-Apr-2024 by Careericons

Continue Reading »