List of top Questions asked in CAT- 2007

It is sometimes told that democratic
B. government originated in the city-states
C. of ancient Greece. Democratic ideals have been handed to us from that time.
D. In truth, however, this is an unhelpful assertion.
E. The Greeks gave us the word, hence did not provide us with a model.
Consider four-digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?
Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest to:
How many pairs of positive integers \( m, n \) satisfy \[ \frac{1}{m} + \frac{4}{n} = \frac{1}{12}, \] where \( n \) is an odd integer less than 60?
Arrange the following sentences in the most logical order to form a coherent paragraph:
A. I had six thousand acres of land, and had thus got much spare land besides the coffee plantation.
B. The squatters’ land was more intensely alive than the rest of the farm.
C. The squatters are Natives, who with their families hold a few acres on a white man’s farm.
D. The Kikuyu also grew the sweet potatoes.
E. The beans ripened in the fields.
The further [A] / farther [B] he pushed himself, the more disillusioned he grew.
For the crowds it was more of a historical [A] / historic [B] event.
The old man has a healthy distrust [A] / mistrust [B] for all new technology.
This film is based on a real [A] / true [B] story.
One suspects that the compliment [A] / complement [B] was backhanded.
 (1) BABAB
ABC Corporation needs at least 400 kilolitres of water in its factory at all times. It considers a spherical tank with uniform wall thickness. The outer diameter of the tank is 10 m. Is the tank capacity adequate?
A: The inner diameter of the tank is at least 8 meters.
B: The tank weighs 30,000 kg when empty, and is made of material with density 3 g/cc.
Consider the set \( S = \{2, 3, 4, \ldots, 2n+1\} \), where \( n \) is a positive integer larger than 2007. Define \( X \) as the average of the odd integers in \( S \) and \( Y \) as the average of the even integers in \( S \). What is the value of \( X - Y \)?

In a tournament, there are \( n \) teams \( T_1, T_2, \ldots, T_n \), with \( n > 5 \). Each team consists of \( k \) players, \( k > 3 \). The following pairs of teams have one player in common: \( T_1 \) & \( T_2 \), \( T_2 \) & \( T_3 \), \( \ldots \), \( T_{n-1} \) & \( T_n \), \( T_n \) & \( T_1 \). No other pair of teams has any player in common. How many players are participating in the tournament, considering all the \( n \) teams together?  

If \( p = \frac{1}{3} \) and \( q = \frac{2}{3} \), then what is the smallest odd \( n \) such that \( a_n + b_n<0.01 \)?
A quadratic function \( f(x) \) attains a maximum of 3 at \( x = 1 \). The value of the function at \( x = 0 \) is 1. What is the value \( f(x) \) at \( x = 10 \)?
Consider integers \( x, y, z \). What is the minimum possible value of \( x^2 + y^2 + z^2 \)?
A: \( x + y + z = 89 \)
B: Among \( x, y, z \) two are equal.
The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II, each with 50 students. The average weight, \( W_I \), of Section I is smaller than the average weight \( W_{II} \) of Section II. If the heaviest student, Deepak, of Section II is moved to Section I, and the lightest student, Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched.
A: \( W_{II} - W_I = 1.0 \)
B: Moving Deepak from Section II to I (without any move to II) makes the average weights of the two sections equal.
Mma Ramotswe had a detective agency in Africa, at the foot of Kgale Hill. These were its assets: a tiny white van, two desks, two chairs, a telephone, and an old typewriter. Then there was a teapot,in which Mma Ramotswe - the only private lady detective in Botswana - brewed redbush tea. And three mugs - one for herself, one for her secretary, and one for the client. What else does a detective agency really need? Detective agencies rely on human intuition and intelligence, both of which Mma Ramotswe had in abundance.
Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos?
A function \( f(x) \) satisfies \( f(1) = 3600 \) and \( f(1) + f(2) + \ldots + f(n) = n^2 f(n) \) for all positive integers \( n>1 \). What is the value of \( f(9) \)?
Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?
Nevertheless, photographs still retain some of the magical allure that the earliest daguerreotypes inspired. As objects, our photographs have changed; they have become physically flimsier as they have become more technologically sophisticated. Daguerre produced pictures on copper plates: today many of our photographs never become tangible things, but instead remain filed away on computers and cameras, part of the digital ether that envelops the modern world. At the same time,our patience for the creation of images has also eroded. Children today are used to being tracked from birth by digital cameras and video recorders and they expect to see the results of their poses and performances instantly. The space between life as it is being lived and life as it is being displayed shrinks to a mere second.
Regrettably [A] / Regretfully [B] I have to decline your invitation.
I am drawn to the poetic, sensual [A] / sensuous [B] quality of her paintings.
He was besides [A] / beside [B] himself with rage when I told him what I had done.
After brushing against a stationary [A] / stationery [B] truck my car turned turtle.
As the water began to rise over [A] / above [B] the danger mark, the signs of an imminent flood were clear.
Arrange the following sentences in the most logical order to form a coherent paragraph:
A. In America, highly educated women, who are in stronger position in the labour market than less qualified ones, have higher rates of marriage than other groups.
B. Some work supports the Becker thesis, and some appears to contradict it.
C. And, as with crime, it is equally inconclusive.
D. But regardless of the conclusion of any particular piece of work, it is hard to establish convincing connections between family changes and economic factors using conventional approaches.
E. Indeed, just as with crime, an enormous academic literature exists on the validity of the pure economic approach to the evolution of family structures.
Arrange the following sentences in the most logical order to form a coherent paragraph:
A. Personal experience of mothering and motherhood are largely framed in relation to two discernible or “official” discourses: the “medical discourse and natural childbirth discourse”.
B. At the same time, the need for medical expert guidance is also a feature for contemporary reproduction and motherhood.
C. Similarly, historical work has shown how what are now taken-for-granted aspects of reproduction and mothering practices result from contemporary “pseudoscientific directives” and “managed constructs”.
D. The contrasting, overlapping, and ambiguous strands within these frameworks focus to varying degrees on a woman’s biological tie to her child and predisposition to instinctively know and be able to care for her child.
E. In addition, a third, “unofficial popular discourse” comprising “old wives’ tales” and based on maternal experiences of childbirth has also been noted.
Arrange the following sentences in the most logical order to form a coherent paragraph:
A. Indonesia has experienced dramatic shifts in its formal governance arrangements since the fall of President Soeharto and the close of his centralized, authoritarian “New Order” regime in 1997.
B. The political system has taken its place in the nearly 10 years since Reformasi began.
C. The mass media, once tightly under Soeharto’s thumb, has experienced significant liberalization.
D. Such developments are seen optimistically by a number of donors and analysts.
E. A different group of analysts paint a picture in which institutional forms have changed, but power relations have not.
Rahim plans to draw a square JKLM with point O on side JK but is not successful. Why?
A: The length of OM is twice that of OL.
B: The length of OM is 4 cm.
A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
Characters are also part of deep structure. Characters tie events in a story together and provide a thread of continuity and meaning. Stories can be about individuals, groups, projects, or whole organizations, so from an organizational studies perspective, the focal actor(s) determine the level and unit of analysis used in a study. Stories of mergers and acquisitions, for example, are commonplace. In these stories whole organizations are personified as actors. But these macro level stories usually are not told from the perspective of the macro-level participants, because whole organizations cannot narrate their experiences in the first person.