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Quantitative Aptitude

179 questions in Science & Technology.

Asked in 1999, 1998, 1997

The yield versus fertilizer input is shown in the graph. Consider the following statements based on this graph: I. Yield rate is zero at B and C. II. There is no yield with no fertilizer input. III. The yield is minimum at D. IV. The yield is neither minimum nor maximum at C. Which of the above statements are correct? The original graph is not available for this question.

  1. (a)I, II and IV
  2. (b)III and IV
  3. (c)II and III
  4. (d)I, III and IV
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Official answer(b) III and IV

A company manufacturing air-conditioners has set a monthly target. The target and realised values are shown in the bar chart. Consider the following statements based on the chart: I. The targeted sales on a monthly basis have been achieved. II. The overall target value has been exceeded by 7.5%. III. The Sales Department deserves a pat on the back. Which of the above statements is/are correct?

  1. (a)I alone
  2. (b)II alone
  3. (c)I and II
  4. (d)II and III
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Official answer(d) II and III

In an office, the distribution of work hours is as shown in the following table: No. of Staff Members | No. of hours worked 5 | 0 – 19 12 | 20 – 24 25 | 25 – 29 40 | 30 – 34 15 | 35 – 39 8 | 40 – 45 Consider the following inferences drawn from the table: I. The average number of hours worked by a staff member is about 30. II. The percentage of those who worked 35 or more hours is less than 25. III. At least 5 staff members worked more than 44 hours. Which of these inferences is/are valid?

  1. (a)I alone
  2. (b)II alone
  3. (c)I and II
  4. (d)I, II and III
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Official answer(c) I and II

In a factory, a quality-assurance test is conducted on various samples for a specific characteristic value of the product. The values and the number of samples are as given in the following table (table not reproduced here). Consider the following statements based on the table: I. The probability that X = 15 is 0.64. II. The probability that 13 < X = 17 is greater than 0.64. III. The probability that X = 15 is less than 0.22. Which of the above statements is/are NOT true?

  1. (a)I alone
  2. (b)I and II
  3. (c)II and III
  4. (d)I, II and III
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Official answer(c) II and III

Amar, Akbar and Anthony are friends, being looked after by a matron Farah. Amar weighs 50% more than Akbar and Anthony weigh 25% less than Amar. Farah weighs a third of the combined weight of the three boys. All four together weigh 232 kg. The correct arrangement of the persons in the ascending order of their weights is

  1. (a)Anthony, Akbar, Farah, Amar
  2. (b)Anthony, Akbar, Amar, Farah
  3. (c)Akbar, Anthony, Amar, Farah
  4. (d)Akbar, Anthony, Farah, Amar
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Official answer(d) Akbar, Anthony, Farah, Amar

There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak only Hindi and how many can speak only English?

  1. (a)21, 11 and 29 respectively
  2. (b)28, 18 and 22 respectively
  3. (c)37, 27 and 13 respectively
  4. (d)39, 29 and 11 respectively
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Official answer(d) 39, 29 and 11 respectively

There are three drawers in a table. One contains two gold coins, another two silver coins, and the third, a silver coin and a gold coin. One of the drawers is pulled out and a coin is taken out. It turns out to be a silver coin. What is the probability of drawing a gold coin, if one of the other two drawers is pulled out next and one of the coins in it is drawn at random?

  1. (a)37.5%
  2. (b)50%
  3. (c)62.5%
  4. (d)75%
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Official answer(b) 50%