## TCS 4 Practice Simple Arithmetic Problems

Below are three problems involving very simple arithmetic problems. Though placement questions are known to be filled with tough questions, you can expect one or two super simple questions like those below.

Question 1

One-fourth of sum of a number and 5 is 1/3rd of the same number. What is the number ?
a)15 b) 7 c) 34 d) 55

Solution:

Based on the question statement, we can form the below equation.

1/4 x(X+5) = 1/3 x X
3 x(X+5) = 4X
3X + 15 = 4X
4X - 3X = 15
X = 15

Question 2

When 8 is subtracted out from two third of X, the result is 25 more than one third of X. Find the largest prime number which is less than X.

a) 113 b) 97 c) 89 d) 131

Solution:

Part-1 : To find X.

Below equation can be formed based on data in question.

(2/3)x X - 8 = 25 + 1/3 x X
(2/3)x X - (1/3)x X = 25+8
X/3 = 33
X=99.

Part-2 : To find the required prime

97 is the largest prime number which is lesser than 99. Hence 97 is the answer.

Question 3

6 reduced from 1/5 of a number is 7 reduced from half of the same number.

a)10/3 b)22/3 c)7/3 d)none of these

Solution:

X/5 - 6 = X/2 - 7
(X-30)/5 = (X-14)/2
2X-60 = 5X-70
5X-2X = 70-60
3X = 10
X = 10/3

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