CMAT Temporary CMAT Quant questions

Ice-cream, completely filled in a cylinder of diameter 35 cm and height 32 cm, is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of cones that can be used in this way is

Match List-I with List-II

Choose the correct answer from the options given below :

3 men and 18 women together take 2 days to complete a piece of work. How many days will 9 women alone take to complete the piece of work; if 6 men alone can complete the piece of work in 3 days?

Arrange the following in increasing order:

A) $$16\frac{2}{3}$$ %
B) $$\frac{2}{15}$$
C) 0.17
D) 0.25 % of 64

Choose the correct answer from the options given below:

Arrange the following in increasing order:

A) $$\sqrt[4]{3}$$
B) $$\sqrt[3]{2}$$
C) $$\sqrt[6]{5}$$
D) $$\sqrt[6]{7}$$

Choose the correct answer from the options given below :

Given below are two statements :
Statement I: If two chords XV and ZT of a circle intersects internally at point P, then PX - PY = PZ - PT
Statement II: If two chords XV and ZT of a circle intersect internal ly at point P, then PXZ and PTY are similar triangles.
In the light of the above statements, choose the correct answer from the options given below:

A dishonest dealer sells his goods at 10 % loss on cost price and uses 30 % less weight.
What is his profit or loss percentage ?

If a% of a + b% of b = 2% of ab, then what percent of a is b?

Given below are two statements :
Statement I: The perimeter of a triangle is greater than the sum of its three medians.
Statement II: In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2 AD.
In the light of the above statements, choose the correct answer from the options given below :

If the roots of the equation $$px^{2} + x + r = 0$$ are reciprocal to each other, then which one of the following is correct ?

A player can take a maximum of 4 chances to hit a bottle with a flying disc. The probability of hitting the bottle at the first, second, third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively. What is the probability that the player hits the bottle with the flying disc?

Given below are two statements :

Statement I :
Ram and Shyam can finish a task by working together in 6 days. If Shyam can finish the task by working alone in 8 days, then Ram alone will take 24 days to finish it.

Statement II :
If 6 persons working 8 hours a day earn ₹8,400 per week, then 9 person working 6 hours a day will earn ₹9,450 per week.
In the light of the above statements, choose the correct answer from the options given below :

A vessel of 160 L is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found out that the vessel is vacated by 55%, then the quantity of milk and water in the original mixture is

If abc > 0, such that a,b,c are integers then which of the following must be true?

A cylindrical vessel of radius 4 cm contains water. A solid sphere of 3 cm radius is lowered into the water until it is completely immersed . The water level in the vessel will rise by :

There are 70 stations on a railway line. The number of different journey tickets that are require by the authorities , is

Find the number of permutations that can be made from the letters of the word OMEGA, if the vowels occupy odd places.

Which two figures will have same area?
(A) Circle with diameter of 14 cm.
(B) Rectangle with length 12 cm and breadth 10 cm.
(C) Rectangle with length 14 cm and breadth 11 cm.
(D) Square with side 12 cm.

Choose the correct answer from the options given below :

Arrange the following surds in increasing order :
(A) $$\sqrt[3]{2}$$
(B) $$\sqrt{3}$$
(C) $$\sqrt[4]{5}$$
(D) $$\sqrt[6]{7}$$
Choose the correct answer from the options given below :

Ramesh invests ₹1,200 at 5 % simple interest. How much additional money must he invest at 8 % simple interest so that his total annual income will be equal to 6 % of his total investment during this year ?