Time Left - 15:00 mins

Weekly revision || Quantitative Aptitude || CAT 2021 || 06 June (App update required to attempt this test)

Attempt now to get your rank among 128 students!

Question 1

A solid right circular cone of height 27 cm is cut into two pieces along a parallel to its base at a height of 18 cm from the base. If the difference in volume of the two pieces is 225 cc, the volume, in cc, of the original cone is

Question 2

On a rectangular metal sheet of area 135 sq. in, a circle is painted such that the circle touches two possible sides. If the area of the sheet left unpainted is two-thirds of the painted area then the perimeter of the rectangle in inches is

Question 3

There are two concentric circles, whose radii (in cm) are positive integers, such that a chord of length 26 cm drawn in the outer circle is tangent to the inner circle. If the difference (in cm) in the circumference of the inner circle and that of the outer circle is

m²π cm, the value of m is closest to .

Question 4

A right octagonal prism with base area of 60 square cm is made up of Iron . It is then melted and re-casted into 30 right triangular prisms with volume of 7 cubic cm each. The height of the prism (in cms) is (TITA)

Question 5

If the shortest distance of the point (6, y) from the curve y = x² – 12x + 32 is 17, then the value of y on the coordinate plane can possibly be.

Question 6

What is the area of the region bounded by the lines y = 2x, x + y = 6 and the X axis?

Question 7

If sin 3x = - 3/4, the value of sin³x + cos³x is

Question 8

A man sitting on the top of the tree is looking at a 40 meter high pole and he finds the angle of depression of the top of the pole and the bottom of the pole to be 30°and 60° respectively. find the height of the tree.

Question 9

In how many ways letters of word POTICA can be arranged such that vowel occupy at odd positions?

Question 10

Out of 8 consonants and 5 vowels, how many words can be made, each containing 4 consonants and 3 vowels?

128 attempts
0 upvotes
0 comments

Tags :

CAT & MBA Quantitative Aptitude

Jul 14CAT & MBA