TCS Aptitude Questions

1) In the class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible number of students who speak both the languages?
(a) 5 (b) 20 (c) 15 (d) 10 (e) 30

2) If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10%. What will be the fuel economy if they were used combined.

3) A can do a piece of work in 20 days, which B can do in 12 days. In 9 days B does ¾ of the work. How many days will A take to finish the remaining work?

4) If 20 men take 15 days to complete a job, in how many days can 25 men finish that work?

5) One fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. if both do combine in how much time they will finish.

6) The ratio of incomes of C and D is 3:4.the ratio of their expenditures is 4:5.Find the ratio of their savings if the savings of C is one fourths of his income?
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Questions by neeti tripathi   answers by neeti tripathi

Editorial / Best Answer


  • Member Since Mar-2010 | Mar 2nd, 2010

The formula is p(a union b)=p(a)+p(b)-p(a intersect b)
so, according to our problem p(a union b )=40  p(a)=30;  p(b)=20;
so, we have to find p(a intersect b), so=30+20-40 =10

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  • Aug 21st, 2010

Here n(AUB)=40

we know
=>40=30+20-n(A INTERSECTION B)
so 10 speak both the language

Ans of Q No.-6
Given Ci/Di=3/4 Ce/De=4/5
Let income of C & D be 3x & 4x
and expenditure 4t & 5t respectively
Now the given that 4t-3x=3x/4 =>t=15x/16
Now we have to calculate (4t-3x)/(5t-4x){the savings ratio}
Now putting the value of t we will get 12:11.
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Formula is p(a n b) = p(a) + p(b) - p(a u b)
p(a) = 30, who speaks hindi
p(b) = 20, who speaks english
p(a u b) = 40, total students
p(a n b) = ?
=> 30 + 20 - 40
=> 10
Solution is 10.

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