List of top Quantitative Ability and Data Interpretation Questions on Geometry asked in SNAP

A cylinder has base radius of 7 m and height of 1 m. How much water can it hold? (given: 1000 lt = 1 m\(^3\))

The sides of a triangle are 13, 14, 15. Find the area.

Ritu wants to make a trapezium such that \(AB\) is parallel to \(CD\). \(\angle ABC=90^\circ\) and \(\angle BAD=45^\circ\). Lengths: \(CD=5\ \mathrm{cm}\) and \(BC=4\ \mathrm{cm}\). Find the area of the trapezium.

A hall is \(15\ \text{m}\) long and \(12\ \text{m}\) broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A right triangle with sides \(3\ \text{cm}\), \(4\ \text{cm}\) and \(5\ \text{cm}\) is rotated about the side of \(3\ \text{cm}\) to form a cone. The volume of the cone so formed is:

If one of the sides of a square is increased by 20% and the other side of decreased by 20% to get a rectangle, what percent of the area of the square will be the area of this rectangle?

There is a cube of edge 8 cm. This cube is immersed in a water-filled vessel with the dimension of its rectangular base (12 cm × 20 cm). By how many cms will the level of water rise in the vessel?

In the figure given below the value of x and y would be ______ .

The cost of the paint is 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side?

C is the mid-point of PQ, if P is (4, x), C is (y, -1) and Q is (-2, 4), then x and y respectively are

A horse take \(2\frac{1}{2}\)seconds to complete a round around a circular field. If the speed of the horse was 66m/sec, then the radius of the field is,
Given [\(\pi=\frac{22}{7}\)]

In the adjoining figure, ABCD is a cyclic quadrilateral. If AB is a diameter, BC = CD and ∠ABD=40°, find the measure of ∠DBC.

The radius of the incircle in the given diagram will be

If two tangents inclined at an angle are drawn to a circle of radius 3 cm, then length of each tangent is equal to

In a triangle ABC, \( AB = 6 \) cm, \( BC = 8 \) cm and \( AC = 10 \) cm. A perpendicular BD is drawn from B to a point D on AC. Taking B as the centre and BD as the radius, a circle is drawn that cuts AB and BC at points E and F respectively. Find the ratio of the length of AE to that of CF.

In the figure above, AT is a tangent to the circle drawn from point T, touching the circle at point A, and ACB is a diameter of the circle. If \( \angle BCT = 130^{\circ} \), find \( \angle ATC \).

How many ice cubes can be accommodated in a container?
(I) The length and breadth of the container is 20 cm and 15 cm respectively.
(II) The edge of the ice cube is 2 cm.

66 cubic centimetres of silver is drawn into a wire of 1mm diameter. The length of the wire in metres will be :

Consider a square ABCD with midpoints E, F, G and H of sides AB, BC, CD and DA. Let L denote the line passing through F and H. Consider points P and Q on the line L inside the square such that the angles APD and BQC are both equal 120 degrees. What is the ratio ABQCDP to the remaining area of ABCD?

Triangle ABC and Triangle PQR are congruent.
(I) Area of triangle ABC and triangle PQR are same
(II) Triangle ABC and triangle PQR are right angle triangles.

If C₁ and C₂ are the circumferences of the outer and inner circles respectively. What is C₁ : C₂?
(I) The two circles are concentric.
(II) The area of the ring is \(\frac 23\) the area of greater circle.

The diagonal of a square is \(4\sqrt{2}\) cm. The diagonal of another square whose area is double that of the first square is

The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm x 6 cm x 2 cm is

The water from a roof, 9 sq. metres in area, flows down to a cylindrical container of 900 cm base. To what height will the water rise in cylinder if there is a rainfall of 0.1 mm?

The cost of levelling and turfing a square field at Rs. 160 per hectare is Rs. 2624.40. The cost of surrounding it with a railing costing 25 paise per metre is: