List of top Quantitative Aptitude Questions asked in CAT

If the roots $x_1$ and $x_2$ of the quadratic equation $x^2 - 2x + c = 0$ also satisfy the equation $7x_2 - 4x_1 = 47$, then which of the following is true?

Which of the following is true?

A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?

A certain race is made up of three stretches: A, B and C, each 2 km long, and to be covered by a certain mode of transport. The following table gives these modes of transport for the stretches, and the minimum and maximum possible speeds (in km/hr) over these stretches. The speed over a particular stretch is assumed to be constant. The previous record for the race is 10 minutes.

Stretch	Mode of Transport	Min. Speed ($\mathrm{km/hr}$)	Max. Speed ($\mathrm{km/hr}$)
A	Car	40	60
B	Motorcycle	30	50
C	Bicycle	10	20

There are 60 students in a class. These students are divided into three groups A, Band Cof 15, 20 and 25 students each. The groups A and C are combined to form group D.

A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD —showedthat 80% of the people watched DD, 22% watched BBC and 15% watched CNN

A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 km/hr. He was then chased by a policeman X. X started the chase, 15 min after the thief had started, at a speed of 65 km/hr

Which of the following values of x do not satisfy the inequality $(x^2 - 3x + 2>0)$ at all?

Once I had been to the post office to buy five-rupee, two-rupee and one-rupee stamps. I paid the clerk Rs. 20, and since he had no change, he gave me three more one-rupee stamps. If the number of stamps of each type that I had ordered initially was more than one, what was the total number of stamps that I bought?

I bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more what I had paid. What per cent of the total amount paid by me was paid for the pens?

The price of a Maruti car rises by 30% while the sales of the car come down by 20%. What is the percentage change in the total revenue?

I sold two watches for Rs. 300 each, one at the loss of 10% and the other at the profit of 10%. What is the percentage of loss(–) or profit(+) that resulted from the transaction?

Instead of a metre scale, a cloth merchant uses a 120 cm scale while buying, but uses an 80 cm scale while selling the same cloth. If he offers a discount of 20% on cash payment, what is his overall profit percentage?

A cube of side 12 cm is painted red on all faces and then cut into smaller cubes, each of side 3 cm. What is the total number of smaller cubes having none of their faces painted?

The figure shows the rectangle ABCD with a semicircle and a circle inscribed inside it. What is the ratio of the area of the circle to that of the semicircle?