SSC Selection Post 2024 Graduate Level Question Paper (20-Jun-2024) (Shift-3)

If the semi-perimeter and area of a rectangular field whose length and breadth are 'x' and 'y' is 12cm and 28cm
2
, respectively, then find the value of x
4
+x
2
y
2
+y
4
.

PQ is a diameter of a circle and PS is a chord. If PQ is 82cm and PS is 80cm, the distance (in cm) of PS from the center of the circle is:

Find the area (in cm
2
) of a circle with a maximum radius that can be inscribed in a rectangle of length 18cm and breadth 12cm.

The area of a sector of a circle is 88cm
2
and the angle of the sector is 36
∘
. Find the radius (in cm) of the circle. [Use π=
7
22
​
.]

A sum of ₹1,250 is lent on simple interest at a rate of 5
2
1
​
% per annum for three years. Find the interest (in ₹).