Skip to main content

CAT Quant Practice Test 6

CAT Quant • Medium • 16 Questions
Progress 0 / 16
30:00

You should spend about 30 minutes on this section. Questions 1 to 8 are multiple choice. Questions 9 to 16 are TITA (type-in-the-answer) questions, where you type the numerical answer.

Quantitative Ability Questions Questions 1-16
1

What is the area of a rhombus whose diagonals are 16 cm and 30 cm?

2

What is the volume of a cone of radius 6 cm and height 8 cm?

3

A chord of length 24 cm is 5 cm from the centre of a circle. What is the radius of the circle?

4

A 13 m ladder leans against a vertical wall and reaches a point 12 m above the ground. How far is the foot of the ladder from the wall?

5

Each exterior angle of a regular polygon is 30°. What is the sum of its interior angles?

6

What is the area of an equilateral triangle of side 12 cm?

7

What is the perpendicular distance from the origin to the line 3x + 4y = 20?

8

The surface area of a sphere is 616 sq cm. What is its radius? (Use π = 22/7.)

9

What is the length of the diagonal of a cube of side 6√3 cm?

10

What is the side, in cm, of the largest square that can be inscribed in a circle of radius 5√2 cm?

11

What is the area, in sq cm, of a trapezium with parallel sides 10 cm and 16 cm and height 7 cm?

12

How many cubes of edge 2 cm can be cut from a cuboid measuring 10 cm × 8 cm × 6 cm?

13

What is the inradius, in cm, of a triangle with sides 7 cm, 24 cm and 25 cm?

14

What is the slope of the line passing through the points (2, 3) and (6, 11)?

15

What is the curved surface area, in sq cm, of a cylinder of radius 7 cm and height 10 cm? (Use π = 22/7.)

16

The area of a regular hexagon of side 4 cm is A sq cm. What is the value of A²?

What is in this test

  • Quantitative Ability, questions 1-16

16 questions in 30 minutes, marked +3 for a correct answer and -1 for a wrong multiple choice answer, with no penalty on type in the answer questions. When you finish you get your marks, a section breakdown and a written explanation for every question. Learn the method first on the topic practice pages and keep the formula sheet handy while you review.