100+ TNPSC Simplification Previous Year Question Paper with Answers Pdf - 1

Question: 1

The smallest fraction which should be subtracted from the sum of $$1{3}/{4}$$, $$2{1}/{2}$$, $$5{7}/{12}$$, $$3{1}/{3}$$ and $$2{1}/{4}$$ to make the result a whole number is

(A) $${185}/{12}$$

(B) $${18}/{12}$$

(C) $${1}/{2}$$

(D) 7

Ans: A

Sum of given fractions = $${7}/{4} + {5}/{2} + {67}/{12} + {10}/{3} + {9}/{4}$$

= $$({21 + 30 + 67 + 40 + 27} / {12})$$ = $${185}/{12}$$

The whole number just less than $${185}/{12}$$ is 15.

Let $${185}/{12}$$ - x = 15. Then, x = $$({185}/{12} - 15)$$ = $${5}/{12}$$.

Question: 2

1260 ÷ 15 ÷ 7 = ?

(A) 10

(B) 12

(C) 58

(D) 122

Ans: B

Given expression = 1260 ÷ 15 ÷ 7= 84 ÷ 7 = 12.

Question: 3

$$(999{999}/{1000} × 7)$$ is equal to

(A) $$6633{7}/{1000}$$

(B) $$6993{7}/{1000}$$

(C) $$6999{993}/{1000}$$

(D) $$7000{7}/{1000}$$

Ans: C

Given expression = $$({1000} – 1/{1000})$$ × 7 = $$(7000 - {7}/{1000})$$ = $$6999{993}/{1000}$$.

Question: 4

$${18 × 14 - 6 × 8}/{488 ÷ 4 - 20}$$ = ?

(A) 1

(B) 2

(C) 3

(D) 4

Ans: B

Given expression = $${252 - 48} / {122 - 20}$$ = $${204}/{102}$$ = 2.

Question: 5

The value of 1 + $${1}/{4 × 3} + {1}/{4 × 3^2} + {1}/{4 × 3^3}$$ is

(A) $${3}/{2}$$

(B) $${121}/{108}$$

(C) $${31}/{2}$$

(D) $${40}/{2}$$

Ans: B

Given expression = $${4 × 3^2 + 3^2+ 3 + 1} / {4 × 3^3}$$ =$${108 + 9 + 3 + 1} / {108}$$ = $${121}/{108}$$.

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