List of top Questions asked in CAT

If sugar costs Rs. 700 per ton and wheat costs Rs. 400 per ton, what was the total worth of sugar and wheat production in India (for the five states)?

If XPL sold 20,000 units in both 1998 and 1999, by what percentage has the price per unit changed?

By how much percentage has the net profit dropped in 1996?

Which year showed the maximum percentage increase in sales?

Two vertical lamp-posts of equal height stand on either side of a road 50 m wide. At a point \(P\) on the road between them, the elevation of the tops of the lamp-posts are \(60^\circ\) and \(30^\circ\). Find the distance of \(P\) from the lamp-post which makes angle of \(60^\circ\).

A train crosses a platform 100 metres long in 60 seconds at a speed of 45 km/hr. The time taken by the train to cross an electric pole is:

A 20 litre vessel is filled with alcohol. Some of the alcohol is poured out into another vessel of equal capacity, which is then completely filled by adding water. The mixture thus obtained is then poured into the first vessel to capacity. Then \(6\frac{2}{3}\) litres is poured from the first vessel into the second. Both vessels now contain an equal amount of alcohol. How much alcohol was originally poured from the first vessel into the second?

It takes 6 technicians a total of 10 hours to build a new server from direct computer, with each working at the same rate. If six technicians start to build the server at 11:00 am, and one technician per hour is added beginning at 5:00 pm, at what time will the server be completed?

The average age of a couple is 25 years. The average age of the family just after the birth of the first child was 18 years. The average age of the family just after the second child was born was 15 years. The average age of the family after the third and the fourth children (who are twins) were born was 12 years. If the present average age of the family of six persons is 16 years, how old is the oldest child?

The ratio of the roots of \( bx^2 + nx + n = 0 \) is \( p:q \), then

If \( mx^n - nx^m = 0 \), then what is the value of \( \frac{1}{x^m + x^n} + \frac{1}{x^m - x^n} \) in terms of \( x \)?

What are the last two digits of \(7^{2008}\)?

The seed of any positive integer \(n\) is defined as: \[ \text{seed}(n) = n, \ \text{if } n<10 \] \[ \text{seed}(n) = \text{seed}(s(n)), \ \text{otherwise} \] where \(s(n)\) is the sum of digits of \(n\). How many positive integers \(n\), such that \(n<500\), will have \(\text{seed}(n) = 9\)?

A shop stores \(x\) kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of \(x\)?

Which of the following cannot be inferred from the passage?

According to the author, the justification for refusal to let him eat two cones was plausibly:

Given cultural and intellectual interconnections, the question of what is ‘Western’ and what is ‘Eastern’ is hard to decide. Which statement reflects the author’s conclusion?

Anita wore a beautiful broach(A)/brooch(B) on the lapel of her jacket.
If you want to complain about the amenities in your neighbourhood, please meet your councillor(A)/counselor(B).
I would like your advice(A)/advise(B) on which job I should choose.
The last scene provided a climactic(A)/climatic(B) ending to the film.
Jeans that flair(A)/flare(B) at the bottom are in fashion these days.

Many of the concepts of modern art have been the product of:

In response to the allegations and condemnation pouring in, Nike... (choose the logically connected sentences)

What is the value of \(a + b + c\) given the above conditions?

Which of the following cannot be true?

A right circular cone has base radius \(4\) cm and height \(10\) cm. A cylinder is to be placed inside the cone with one flat surface resting on the base of the cone. Find the largest possible total surface area (sq. cm) of the cylinder.

Neelam rides her bicycle from her house at \(A\) to her office at \(B\), taking the shortest path. The number of possible shortest paths that she can choose is: