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

Question : 11 [SSC CGL 2002]

Which of the following fraction is the smallest? $8/15, 14/33, 7/13, 11/13$

a) $11 /13$

b) $14/33$

c) $7/13$

d) $8/15$

Answer: (b)

$8/15, 14/33, 7/13, 11/13$

$8/15$ = 0.53$\ov{3}$

$14/33$ = 0.$\ov{42}$

$7/13$ = 0.538

$11/13$ = 0.846

∴$11/13>7/13>8/15>14/33$

Question : 12

The least number among $4/9,√{9/49}$, 0.45 and $(0.8)^2$ is

a) 0.45

b) $(0.8)^2$

c) $√{9/49}$

d) $4/9$

Answer: (c)

Decimal equivalents :

$4/9$ = 0. 4: $√{9/49}$ = $3/7$ = 0.43

0.45 : $(0.8)^2$ = 0.64

∴ Least number = 0.43 = $√{9/49}$

Question : 13 [SSC CGL Tier-II 2013]

When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A ?

a) 1

b) 4

c) 2

d) 8

Answer: (b)

5A7 + 335 = 8B2

⇒ A → 1, 2, 3, 4, 5 &

B → 5, 6, 7, 8,9

8B2 is exactly divisible by 3.

∴ 8 + B + 2 = multiple of 3

∴ B = 5 or 8 ⇒ A = 1 or 4

Question : 14 [SSC CPU 2012]

The least number of five digits which has 123 as a factor is

a) 10081

b) 10063

c) 10086

d) 10037

Answer: (c)

The smallest number of 5 digits = 10000

Remainder on dividing 10000 by 123 = 37

∴ Required number = 10000 + (123 – 37) = 10086

Question : 15 [SSC CGL Prelim 2004]

The smallest number of five digits exactly divisible by 476 is

a) 10476

b) 10472

c) 10000

d) 47600

Answer: (b)

The smallest number of 5 digits = 10000

Now,

$10000/476$=21$4/476$

∴Required number = 10000 + (476 – 4)

= 10000 + 472 = 10472

IMPORTANT quantitative aptitude EXERCISES

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