model 4 finding unit place of a number Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16 [SSC CGL Tier-II 2015]

There is a number consisting of two digits, the digit in the units’ place is twice that in the tens’ place and if 2 be subtracted from the sum of the digits, the difference is equal to $1/6$ th of the number. The number is

a) 23

b) 26

c) 24

d) 25

Answer: (c)

Ten’s digit of original number = x

Unit’s digit = 2x

Number = 10x + 2x = 12x

According to the question,

3x – 2 = $1/6$ × 12x

3x – 2 = 2x

3x – 2x = 2

x = 2

Number = 12x = 12 × 2 = 24

Question : 17 [SSC CGL Tier-II 2013]

The unit digit in 3 × 38 × 537 × 1256 is

a) 8

b) 4

c) 6

d) 2

Answer: (a)

Unit’s digit in 3 × 38 × 537 × 1256

= Unit’s digit in 3 × 8 × 7 × 6

= 4 × 2 = 8

Question : 18 [SSC MTS 2011]

The units digit of the expression $25^6251 + 36^528 + 73^54$ is

a) 0

b) 6

c) 4

d) 5

Answer: (a)

Unit digit in the expansion of $25^6251$

= Unit digit in the expansion of $5^6251$ = 5

$36^528$≡ Unit digit in $6^528$ = 6

Now, $3^1 = 3; 3^2 = 9; 3^3 = 27; 3^4 = 81; 3^5 = 243 ;$....

$73^54 = 73^52 × 73^2$≡ $3^2$ = 9

Required digit = Unit’s digit of the sum 5 + 6 + 9 = 0

Question : 19 [SSC CHSL 2014]

The digit in unit’s place of the product 49237 × 3995 × 738 × 83 × 9 is

a) 6

b) 0

c) 5

d) 7

Answer: (b)

Required unit’s digit = Unit’s digit in the product of 7 × 5 × 8 × 3 × 9 = 0

Question : 20 [SSC S.O 2003]

The digit in unit’s place of the product 81 × 82 × 83 × ... × 89 is

a) 8

b) 0

c) 6

d) 2

Answer: (b)

The digit in unit’s place = unit’s digit in the product 1 × 2 × 3 × .... × 9 = 0.

IMPORTANT quantitative aptitude EXERCISES

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