Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
A square is drawn. What is the area of this square?
I. Diagonal length is 5 cm more than side length.
II. Perimeter of square is 20 cm more than diagonal length.From statement I:
Diagonal length is 5 cm more than side length.
We know that in a square, diagonal length = √ 2 × side length.
Using the two equations, side length can be found, and hence area can be found.
∴ Statement I alone is sufficient to answer the question.
From statement II:
Perimeter of square is 20 cm more than diagonal length.
Perimeter of square = 4 × side length
⇒ Four times side length is 20 cm more than diagonal length.
We know that in a square, diagonal length = √ 2 × side length.
Using the two equations, side length can be found, and hence area can be found.
∴ Statement II alone is sufficient to answer the question.2. What will come in place of the question mark (?) in the following number series? 7, 9, 19, 45, 95, ?
8. What should come in place of question mark ‘?’ in the following number series? 2, 4, 9, 28, ?
10. What will come in place of '?' in the following question? √49 + 62 = 39 + 102 - ?