Probability and Statistics - Engineering Mathematics - Metallurgical Engineering Previous Year Questions

1

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

Given the data set {27.90, 34.70, 64.40, 18.92, 47.60, 39.68} Median value for the data set is

A

36.9

B

37.19

C

38.86

D

54.4

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2

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

The probability of obtaining “head” n times, on tossing an unbiased coin N times, is given by

A

^N C_n \left( \frac{1}{2} \right)^N

B

\(\frac{n}{N}\)

C

\(\left( \frac{1}{2} \right)^N\)

D

^N P_n \left( \frac{1}{2} \right)^N

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3

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

Which of the following options is the closest in meaning to the word below:
Circuitous

A

cyclic

B

indirect

C

confusing

D

crooked

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4

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair. Unemployed : Worker

A

fallow : land

B

unaware : sleeper

C

wit : jester

D

renovated : house

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5

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

Choose the most appropriate word from the options given below to complete the following sentence:
If we manage to ____________ our natural resources, we would leave a better planet for our children.

A

uphold

B

restrain

C

cherish

D

conserve

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6

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

Choose the most appropriate word from the options given below to complete the following sentence:
His rather casual remarks on politics ____________ his lack of seriousness about the subject.

A

masked

B

belied

C

betrayed

D

suppressed

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7

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:

A

2

B

17

C

13

D

3

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8

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and, regrettably, there exist people in military establishments who think that chemical agents are useful tools for their cause.
Which of the following statements best sums up the meaning of the above passage:

A

Modern warfare has resulted in civil strife.

B

Chemical agents are useful in modern warfare.

C

Use of chemical agents in warfare would be undesirable.

D

People in military establishments like to use chemical agents in war.

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9

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?

A

50

B

51

C

52

D

54

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10

2010 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2010

Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1^st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
i. Hari's age + Gita's age > Irfan's age + Saira's age.
ii. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.
iii. There are no twins.
In what order were they born (oldest first)?

A

HSIG

B

SGHI

C

IGSH

D

IHSG

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11

2011 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2011

A box contains 5 white balls and 3 red balls. Two balls are withdrawn from the box randomly, one after another (without replacement). The probability that the two balls withdrawn are of different color is

A

15/64

B

25/64

C

25/56

D

30/56

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12

2011 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2011

A large set of data for a given measurement has been found to be normally distributed around a mean \( \mu \), with standard deviation \( \sigma \). Which of the following limits would have about 95% of the data points around the mean and rest outside?

A

\(\mu - 0.5\sigma \) and \(\mu + 0.5\sigma \)

B

\(\mu - \sigma \) and \(\mu + \sigma \)

C

\(\mu - 2\sigma \) and \(\mu + 2\sigma \)

D

\(\mu - 3\sigma \) and \(\mu + 3\sigma \)

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13

2011 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2011

Choose the word from the options given below that is most nearly opposite in meaning to the given word:
Frequency

A

periodicity

B

rarity

C

gradualness

D

persistency

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14

2011 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2011

Choose the most appropriate word from the options given below to complete the following sentence:
It was her view that the country’s problems had been _______ by foreign technocrats, so that to invite them to come back would be counter-productive.

A

identified

B

ascertained

C

exacerbated

D

analysed

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15

2011 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2011

There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2 votes, then what was the total number of voters?

A

100

B

110

C

90

D

95

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16

2011 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2011

The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair:
Gladiator : Arena

A

dancer : stage

B

commuter : train

C

teacher : classroom

D

lawyer : courtroom

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17

2011 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2011

Choose the most appropriate word from the options given below to complete the following sentence:
Under ethical guidelines recently adopted by the Indian Medical Association, human genes are to be manipulated only to correct diseases for which _______ treatments are unsatisfactory.

A

similar

B

most

C

uncommon

D

available

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18

2011 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2011

The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight with diphtheria and tetanus were developed this way.
It can be inferred from the passage, that horses were

A

given immunity to diseases

B

generally quite immune to diseases

C

given medicines to fight toxins

D

given diphtheria and tetanus serums

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19

2012 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2012

In a production facility, iron rods are made with a mean diameter of 6 cm and standard deviation of 0.02 cm. If a large number of rods are tested, the approximate percentage of rods whose sizes fall in the range of 5.98 cm to 6.02 cm is

A

68

B

75

C

90

D

99.7

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20

2012 · Metallurgical Engineering · Engineering Mathematics · Probability and Statistics

Metallurgical Engineering (MT) 2012

Which one of the following options is the closest in meaning to the word given below?
Latitude

A

Eligibility

B

Freedom

C

Coercion

D

Meticulousness

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