SSC CPO 05 June 2016 Morning Shift

Two concentric circles are drawn with radii 12 cm and 13 cm. What will be the length of any chord of the larger circle that is tangent to the smaller circle ?

If (2a - 3)$$^{2}$$ + (3b + 4)$$^{2}$$ + (6c + 1)$$^{2}$$ = 0, then value of $$\frac{a^{3}+b^{3}+c^{3}-3abc}{a^{2}+b^{2}+c^{2}}+3$$ is:

The slope of the given line is:

Two pipes can independently fill a bucket in 20 minutes and 25 minutes. Both are turned on together for 5 minutes after which the second pipe is turned off. What is the time taken by the first pipe alone to fill the remaining portion of the bucket ?

Which of the following statements is not correct ?

A shopkeeper purchases two items for Rs. 520. One of them is sold gaining 16% and the other at a loss of 10%, thus making no profit or loss. What is the selling price of the item sold at loss ?

Direction: Study the following bar graph showing the percentage of children who can read at the first grade level, grouped by their grade level in  an  Indian state.

For example, in 2008, 82% of the children from Standard 3 could read a text from Standard 1.Now answer the following question based on this graph. 

In the year 2010, what is the approximate value of average of all Std 1, 2, 3, 4, 5 children who could read the Std 1 text ?

The diagonals of two squares are in the ratio of 3: 7. What is the ratio of their areas ?

A store has an offer ‘Buy 4 Get 1 Free’. What is the net percentage of discount ?

If a + b + c = 1, ab + bc + ca = -1 and abc = -1, then the value of a$$^{3} + b^{3}+c^{3}$$ is: