Delhi SI CPO Nov 25 Shift-1

The given bar graph shows the number of students of two schools over a period of six years.

In the bar graph, what is the ratio of the students taken for years the 2008, 2012, 2013 together from school A to the students taken for the years 2009, 2010, 2011 together from school B?

The value of $$\frac{40 + \frac{3}{4} of 32}{37 + \frac{3}{4} of (34 - 6)}$$ is:

If two successive discounts, each of 20% on the marked price of an article, are equal to a single discount of ₹ 331.20, then the marked price (in ₹) of the article is:

A, B and C started a business investing amounts of ₹ 13,750, ₹ 16,250 and ₹ 18,750, respectively. If B’s share in the profit earned by them is ₹ 5,200, what is the difference in the profit (in ₹) earned by A and C?

If $$x + y + z = 19, x^2 + y^2 + z^2 = 133$$ and $$xz = y^2. x > z > 0,$$ what is the value of (x —z)?

A circle is inscribed in a triangle ABC. It touches side AB, BC and AC at points R, P and Q, respectively. If AQ = 2.6 cm, PC = 2.7 cm and BR = 3 cm, then the perimeter (in cm)of the triangle $$\triangle ABC$$ is:

A ladder leaning against a wall makes an angle $$\theta$$ with the horizontal ground such that $$\tan \theta = \frac{12}{5}.$$ If the height of the top of the ladder from the wall is 24 m, then what is the distance (in m) of the foot of the ladder from the wall?

The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the sixth and seventh numbers is:

The following histogram shows the weights of students of class X in a school on a particular day. Total number of students enrolled in class X = 200.

The number of students weighing less than 55 kg is what percentage less than the number of students weighing 55 kg to 65 kg?

A sum amounts to ₹ 7,562 in 4 years and to ₹ 8,469.44 in 5 years, at a certain rate per cent per annum when the interest is compounded yearly. If ₹ 10,000 at the same rate of interest is borrowed for two years, then what will be the compound interest (in ₹)?