List of top Questions asked in CAT- 2015

A shopkeeper marks up an article by 25% and then offers a 20% discount. What is the net profit percentage? 
 

A shopkeeper sells an item at a 20% profit. If the cost price is increased by 10% and the selling price by Rs. 10, the profit percentage becomes 15%. What is the original cost price?

The area of a circle is $154$ cm². What is the circumference of the circle? 
 

If the area of a square is 64 cm², what is the length of its diagonal? 
 

A rectangular garden has a perimeter of 100 meters and an area of 600 m². What is the length of the garden?
A man travels 300 km, partly at 60 km/h and partly at 80 km/h. If the total time taken is 4.5 hours, how many kilometers did he travel at 60 km/h?
A car travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed for the round trip?
A man can row at 6 km/h in still water. If the river flows at 2 km/h and it takes him 1 hour to row to a place and return, what is the distance to the place?
The ratio of the speeds of two trains is 3:4. If the second train covers 400 km in 5 hours, what is the speed of the first train?

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. What is the speed of the train? 
 

The HCF of two numbers is 12, and their LCM is 144. If one number is 36, what is the other number?
What is the remainder when \(3^{100}\) is divided by 7?
The ratio of two numbers is 3:4. If their sum is 70, what is the larger number?
If \( \sin \theta + \cos \theta = \sqrt{2} \), what is \( \sin \theta \cos \theta \)?
What is the sum of the first 20 terms of the arithmetic sequence 3, 7, 11, …?
A pipe can fill a tank in 6 hours, and another pipe can empty it in 8 hours. If both pipes are opened together, how long will it take to fill the tank?

If $x^2 - 5x + 6 = 0$, what is the value of $x^3 - 3x^2 + 2x$? 
 

What is the probability of getting a sum of 7 when two dice are rolled? 
 

If $\log_2 x + \log_4 x = 5$, what is the value of $x$? 
 

The number of ways to arrange 5 distinct books on a shelf is: 
 

A shop sells two types of pens at Rs. 10 and Rs. 15 each. If 50 pens are sold for Rs. 650, how many pens of Rs. 10 were sold? 
 

If \(3x + 4y = 12\) and \(x - y = 1\), what is the value of \(x + y\)?
The area of a circle is 154 cm². What is its radius? (Use \( \pi = \frac{22}{7} \))

A sum of money doubles in 4 years at a certain rate of compound interest. In how many years will it become 8 times? 
 

A train travels 360 km in 4 hours. What is its speed in km/h?