Delhi SI CPO Nov 23 Shift-1

If $$x^{4} + x^{-4} = 194, x > 0$$  then the value of $$x + \frac{1}{x}$$ is :

circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points R, P and Q, respectively. If AQ = 3.5 cm, PC = 4.5 cm and BR = 7 cm, then the perimeter (in cm) of the triangle $$\triangle ABC$$ is:

The given pie chart represents the popularity of ice-cream flavours in the year 2005.

In 2005, if 10% of the ‘other’ category is mix fruit flavour and 1570 people surveyed preferred mix fruit flavour, then how many people were surveyed?

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 fifth and sixth number is

The given pie charts represent the popularity of ice-cream flavours in the years 2005 and 2015.

If a percentage point shift results in annual additional sales of ₹10,000, how much(in ₹), did the combined annual strawberry and butterscotch sales increase from 2005 to 2015?

What is the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?

If $$14331433 \times 1422 \times 1425$$ is divided by 12, then what is the remainder?

The average weight of A, B and is 65 kg. If the average weight ofA and is 63.5 kg, and the average weight of A and C is 67.5 kg, then the weight of A(in kg) is:

A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x , then what is the length of x (in m)?

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

In the bar graph, in which year is the sum of the students from schools A and B taken together, the minimum?