List of top Questions asked in XAT- 2009

A rural child specialist has to find the weight of five children of different ages. He knows from past experience that each of the children weighs less than 30 Kg, and all five weigh different amounts. Unfortunately, the scale available in the village can measure weight only over 30 Kg, so the doctor decides to weigh the children in pairs. His new assistant weighed the children without noting down the names. The ten weights recorded were: 35, 36, 37, 39, 40, 41, 42, 45, 46 and 47 Kg. The weight of the lightest child is:

Sangeeta and Swati bought two wristwatches from Jamshedpur Electronics at 11:40 AM IST. After buying them, they found that when 60 minutes pass on a correct clock (IST), Sangeeta's wristwatch registers 62 minutes, while Swati's wristwatch registers 56 minutes. Later that day, Sangeeta's wristwatch reads 10:00 PM. What time does Swati's wristwatch show at that moment?

F(x) is a fourth-order polynomial with integer coefficients and no common factor among the coefficients. The roots of F(x) are -2, -1, 1 and 2. If p is a prime number greater than 97, then the largest integer that divides F(p) for all such values of p is:

Let \(a\) and \(b\) be the roots of the quadratic equation \(x^2 + 3x - 1 = 0\). If \(P_n = a^n + b^n\) for \(n \geq 0\), then for \(n \geq 2\), \(P_n =\)

A cake chain manufactures two types of products: cakes/pastries/gateaux, and savouries. The chain was concerned about high wastage (in terms of leftover) and wanted to reduce it. The table below gives sales, costs and leftover (as a percentage of sales) for both product lines from 1993 to 2004.

If profit = sales - cost - leftover, in which of these years was the cake chain in losses (leftover here means the leftover amount, not the percentage)?

1. 1993
2. 1997
3. 1998
4. 2000

Choose the right option:

A cake chain manufactures two types of products, cakes/pastries/gateaux and savouries. The chain was concerned about high wastage, in terms of leftover, and wanted to reduce it. The table below gives sales, costs and leftover data for both product types from 1993 to 2004.

Which of the following statement(s) is/are right?
1. The worth of leftover for cakes/pastries/gateaux increased from 1993 to 2004.
2. The worth of leftover for cakes/pastries/gateaux kept on fluctuating, many times, between 1993 and 2004.
3. The worth of leftover for savouries and cakes/pastries/gateaux was highest in 2004.
4. The worth of leftover for savouries kept on fluctuating, many times, between 1993 and 2004.

Choose the right combination from the following:

Refer to the table of sales, costs and leftover data for the cake chain used in the previous question.

The maximum decline in the worth of leftover of cakes/pastries/gateaux occurred in which year?

Given five points A = (7, 4), B = (-10, 0), C = (-10, 3), D = (0, 10) and E = (7, 7). Every second, all the points move by halving their abscissas (x-coordinates) and doubling their ordinates (y-coordinates). This process continues for 500 years. After 500 years, which two points are closest?

The chart below gives the per unit selling prices and costs, in rupees, of 11 items prepared by a sweetshop. Producer's margin is the gap between the cost and the producer's selling price. Retailer's margin is the gap between the producer's selling price and the retailer's selling price.

Based on the chart, which of the following conclusions can be made?

For all real numbers \(x\), except \(x = 0\) and \(x = 1\), the function \(F\) is defined by \[ F\left(\frac{x}{x-1}\right) = \frac{1}{x}. \] If \(0 < \alpha < 90^{\circ}\), then \(F((\text{cosec}\,\alpha)^2) =\)

Mungeri Lal has two investment plans, A and B, to choose from. Plan A offers interest of 10% compounded annually, while plan B offers simple interest of 12% per annum. Till how many years is plan B a better investment?

The chart above, used for the previous question, plots the cost, producer's selling price and retailer's selling price, in rupees, for 11 items prepared by a sweetshop.

Which of the following conclusion can be drawn from the diagram?

Two teams, Arrogant and Overconfident, are participating in a cricket tournament. The odds that team Arrogant will be champion are 5 to 3, and the odds that team Overconfident will be champion are 1 to 4. What are the odds that either team Arrogant or team Overconfident will become the champion?

A shop sells two kinds of rolls: egg roll and mutton roll. Onion, tomato, carrot, chilli sauce and tomato sauce are the additional ingredients. A customer can have any combination of additional ingredients, or a standard roll with no additional ingredients, subject to the following constraints:

(a) Tomato sauce can be added if the roll has egg, but not if it is a mutton roll.
(b) Chilli sauce can be added only if the roll has onion or tomato or both; otherwise it cannot be added.

How many different rolls can be ordered according to these rules?

In an examination there are 30 questions. 1 mark is given for each correct answer and 0.25 is deducted for every incorrect answer. Ankur attempted all the questions and scored 13.75. How many incorrect answers did he have?

Rajesh walks to and from a shopping mall. He spends 30 minutes shopping there. If he walks at a speed of 10 km/hour, he returns home at 19.00 hours. If he walks at 15 km/hour, he returns home at 18.30 hours. How fast must he walk in order to return home at 18.15 hours?

A salesman sells two kinds of trousers: cotton and woollen. A pair of cotton trousers is sold at 30% profit and a pair of woollen trousers is sold at 50% profit. The salesman had calculated that if he sells 100% more woollen trousers than cotton trousers, his overall profit would be 45%. However, he ends up selling 50% more cotton trousers than woollen trousers. What will be his overall profit?

Each of the following questions is followed by two statements, I and II. Decide whether the data given in the statements is sufficient to answer the question.

For each rupee in monthly advertising expenditure, KUMAR & Co. experiences a Rs. 6 increase in sales. How much does KUMAR & Co. have to spend on advertising to attain Rs. 1,000,000 in sales revenue for the month?

I. Without advertising, KUMAR & Co. earns Rs. 200,000 sales revenue per month.
II. When KUMAR & Co. spends Rs. 15,000 on advertising, it earns Rs. 290,000 as sales revenue.

Each of the following questions is followed by two statements, I and II. Decide whether the data given in the statements is sufficient to answer the question.

Geetanjali Express, which is 250 metres long, crosses the Subarnarekha bridge in 30 seconds while moving from Howrah to Tatanagar. What is the speed of Geetanjali Express?

I. Bombay Mail, which runs at 60 km/hour, crosses the Subarnarekha bridge in 30 seconds.
II. Bombay Mail, running at 90 km/hour, crosses a lamp post in 10 seconds.

Which sentence includes an oxymoron?

Recommence is to suspend as nonchalant is to:

Which of the following contains a non-sequitur?

From questions 34 to 35, read the sentences and choose the option that best arranges them in a logical order.
Arrange the following sentences in the correct logical order:
1. The moral will arises when, for the reasons we saw earlier, this negation has to be negated; the individual moral will understands that it is the existence of the universal will, which is therefore internal to it.
2. This constitutes a negation, because the individual will is understood not to be the existence of the universal will.
3. This says that in abstract right, as we have just seen, the individual will takes its freedom (the universal will that has being in itself) to exist independent of (that is, in opposition to) itself and its particular contents.
4. Rather, the universal will is thought to exist outside any individual will, in the contracts that bind a number of property owning wills together, and in the punishments that enforce breaches of those contracts.

Arrange the following sentences in the correct logical order:
1. In the concept, universality, particularity, and individuality are understood as being immediately identical to each other.
2. As immediately identical, these "moments of the concept" cannot be separated.
3. This means that they must be thought of as a single unity, that none of the three can be understood apart from the others, since in the concept their identity is posited, and each of its moments can only be grasped immediately on the basis of and together with the others.
4. The interrelation of universality, particularity, and individuality is otherwise in judgment.

Which sentence includes a euphemism?