Fact, Inference & Judgement - Previous Year CAT/MBA Questions

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26. IIFT 2014 QA | Fact, Inference & Judgement omet Question

The student fest in an Engineering College is to be held in one month’s time and no sponsorship has yet been arranged by the students. Finally the General Secretary (GS) of the student body took the initiative and decided to go alone for sponsorship collection. In fact, he is the only student doing the fund raising job on the first day. However, seeing his enthusiasm, other students also joined him as follows: on the second day, 2 more students join him; on the third day, 3 more students join the group of the previous day; and so on. In this manner, the sponsorship collection is completed in exactly 20 days. If an MBA student is twice as efficient as an Engineering student, the number of days which 11 MBA students would take to do the same activity , is:

(a)
70
(b)
80
(c)
90
(d)
100

Answer: Option A

Text Explanation :

Let engineering student collects fund of Rs. X on one day.

Number of students collecting funds on:

First day = 1

Second Day = 1 + 2

…

Twentieth day = 1 + 2 + 3 + 4 … + 20

Total collection = [1 + (1 + 2) + (1 + 2 + 3) + … + (1 + 2 + 3 + … + 20)] X

= $\sum_{i = 1}^{20} \frac{n (n + 1)}{2}$ = $\frac{1}{2}$ $\{\sum_{i = 1}^{20} n^{2} + \sum_{i = 1}^{20} n\}$ ...(i)

∑ $n^{2}$ = $\frac{n (n + 1) (2 n + 1)}{6}$ and

∑n = $\frac{n (n + 1)}{2}$

Thus, from equation (i),
Total collection

= $\frac{1}{2}$ $\{\frac{20 (20 + 1) (2 \times 20 + 1)}{6} + \frac{20 (20 + 1)}{2}\}$

= 1540X

An MBA student collects 2X on a single day.

∴ Number of days required for 11 MBA students to complete the activity

= 1540X / 11 × 2X = 70

Hence, option (a).

27. XAT 2012 VARC | Fact, Inference & Judgement omet Question

“On a wing and a prayer the Indian team landed in Heathrow to take on their formidable oppenents”.

From the above sentence it can be inferred that the Indian team was

(a)
high in spirits
(b)
well prepared
(c)
over confident
(d)
under prepared
(e)
buoyant

28. XAT 2012 VARC | Fact, Inference & Judgement omet Question

“It was AC Milan’s success in Europe in the sixties that introduced the ‘libero’ as the Italian default and, a quarter of a century later, it was AC Milan’s success in Europe that killed it off.”

Which of the following was not implied in the above sentence?

(a)
AC Milan was successful in Europe in the sixties with the help of a ‘libero’
(b)
AC Milan was successful in Europe in the late eighties without a ‘libero’
(c)
The ‘libero’ was an Italian default for almost a quarter of a century.
(d)
AC Milan was not successful in Europe for almost a quarter of a century.
(e)
The Italians seldom used a ‘libero’ since late eighties.

29. XAT 2012 VARC | Fact, Inference & Judgement omet Question

Alfredo, Diego and Lionel are discussing Argentinean football.

Alfredo: Argentina was a football powerhouse.

Diego: Argentina is a football powerhouse.

Lionel: Argentina will be a football powerhouse.

Which of the following cannot be inferred from the above conversation?

(a)
Lionel is optimistic about the future.
(b)
Alfredo, Diego and Lionel may disagree on certain things.
(c)
Diego views the present positively.
(d)
Alfredo completely disagrees with Diego.
(e)
Alfredo has positive feelings about the past.

30. XAT 2012 VARC | Fact, Inference & Judgement omet Question

Answer the following question based on the information given below.

This is one of the unanswered questions that I want to explore. I believe that this is certainly one of the deeper questions about technology. Why do I say so? Without evolution technologies seem to be born independently and improve independently. Each must come from some unexplained mental process, some form of creativity or thinking outside the box that brings it into existence and separately develops it. With evolution, new technologies would be birthed in some precise way from previous ones, albeit with considerable mid-wifing, and develop though some understood process of adaptation. In other words, if we could understand evolution, we could understand the most precious of processes: innovation. But, let me define evolution before I proceed further. The word evolution has two general meanings. One is the gradual development of something, as with the evolution of ballet or the English madrigal. The other is the process by which all objects of some class are related by ties of common descent from the collection of earlier objects. The latter is what I mean by evolution.Which of the following can be inferred from the passage?
I. The author’s main concern is to develop a theory of innovation.
II. The author is interested in putting forth a theory of technological evolution.
III. The author believes before developing a theory of technological evolution, one needs to investigated whether technology evolves at all.
IV. Evolution, as the author puts it, is a sense of common relatedness.

(a)
I and II
(b)
I and IV
(c)
II and IV
(d)
I, II and III
(e)
All the above statements

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Fact, Inference & Judgement - Previous Year CAT/MBA Questions

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