141. In a class 40 % of the student offered Math's and 30% offered English, and 20 % offered both. If a student is selected at random, what is the probability that he has offered Math's or English ?

1) 3/2

2) 1/2

3) 3/5

4) 3/10

5) None of these

2. Ramesh speaks truth in 60 % cases and Rohan in 70 % cases, in what percent of cases are they likely to contradict each other, narrating the same incident ?

1) 50 % 2) 35 % 3) 46 % 4) 36 % 5) None of these

3. In a parliamentary election 20 % votes were declared invalid. 'X' and 'Y' were two candidates, contesting the election. The winning candidate 'X' secures 75 % of valid votes and wins by 165000 votes. Find number of votes secured by 'Y' ?

1) 412500 2) 42550 3) 82500 4) 17500 5) None of these

4. If the price of sugar falls down by 10 % by how much per cent must a household increase its consumption, so as not to decrease expenditure ?

1) 9.09 % 2) 11.11 3) 12.11 % 4) 13.11 % 5) None of these

5. A train takes 12 sec. and 14 sec. respectively to cross two men who are walking in same direction at4 km/hr. and 5 km/hr. Find speed of the train in km/hr. ?

1) 15 km/hr. 2) 16 km/hr. 3) 11 km/hr. 4) 14 km/hr. 5) None of these

Direction (Q. 6 -10) : Study the following line graph carefully and answer the questions given below :

Ratio of income to expenditure of companies X, Y, Z

Profit = Income – Expenditure

6. In the year 2008, the expenditure of all the three companies are equal, then the income of all the three companies together is what per cent of the total expenditure of all the three companies ?

1) 80 % 2) 70 % 3) 90 % 4) 95 % 5) None of these

7. What is the total expenditure of company X in all the years together ?

1) `4200 crore 2) `3600 crore 3) `3500 crore 4) Can't be determined 5) None of these

8. What is the profit earned by company Y in the year 2011 ?

1) `1.2 crore 2) `2 crore 3) `3.4 crore 4) Can't be determined 5) None of these

9. For the company Z in how many years the income is more than the expenditure ?

1) 1 2) 3 3) 2 4) None 5) None of these

10. For the company Y in how many years the expenditure is more than the income ?

1) 5 2) 6 3) 3 4) None 5) None of these

Answers :-

2.3; Ramesh speaks truth in 60 % cases.

He will speak false in 40 % cases.

And same, Rohan speaks truth in 70 % cases.

So, he will speak false in 30 % cases.

They contradict to each other, means, when one speak

true and then other speaks false.

Probability = 60 % × 30 % + 70 % × 40 % = 18 % + 28 % = 46 %

3.3;

4.2;

5.3;

7.4; Can’t determine because, It is ratio, and we don’t have actual value.

8.4;

9.3; Only see graph and check it.

10.1;

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