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Exam Year: 1995

  • Which of the following can be inferred from the statement that ‘Either John is stupid or John is lazy’ ? I. John is lazy / therefore, John is not stupid. II. John is not lazy / therefore, John is stupid. III. John is not stupid / therefore, John is lazy. IV. John is stupid / therefore, John is not lazy. Choose the correct answer from the codes given below : Codes :

    (a)

    I and II

    (b)

    II and III

    (c)

    III and IV

    (d)

    I and IV

    Correct Answer:

  • A person earns Rs. 2000 per month over and above his salary as additional charge allowance. However, 30% of this additional income will be deducted as additional income-tax at source. If the person would deposit Rs. 1000 per month on a long-term saving fetching 12% interest his tax liability on the additional allowance would reduce to 10%. What is the effective interest for this person for money invested in the long-term savings scheme ?

    (a)

    12%

    (b)

    18%

    (c)

    19%

    (d)

    20%

    Correct Answer:

  • X and Y are two variables whose values at any time are related to each other as shown in Fig. (i). X is known to vary periodically with reference to time as shown in Fig. (ii). Which of the following curves depicts correctly the dependence of Y on time?

    (a)

    I

    (b)

    II

    (c)

    III

    (d)

    IV

    Correct Answer:

  • Out of a total of 120 musicians in a club, 5% can play all the three instruments-guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone ?

    (a)

    45

    (b)

    44

    (c)

    38

    (d)

    30

    Correct Answer:

  • Consider the diagram given below : T : Transport Ec : Education of children H : Housing C : Clothing F : Food S : Savings O : Others From the diagram shown it would be right to conclude that

    (a)

    the family spent more than half the income on food and clothing

    (b)

    the amount saved by the family was too little

    (c)

    the family had no health problems

    (d)

    the family managed to meet all the essential expenses out of the income earned

    Correct Answer:

  • The price fluctuations of 4 scrips in a stock market in the four quarters of a year are shown in the table below. Four different investors had the following portfolios of investment in the four companies throughout the year : Portfolios Investor 1 : 10 of A, 20 of B, 30 of C and 40 of D Investor 2 : 40 of A, 10 of B, 20 of C and 30 of D Investor 3 : 30 of A, 40 of B, 10 of C and 20 of D Investor 4 : 20 of A, 30 of B, 40 of C and 10 of D Stock Market Performance

    (a)

    Investor 2 has made the best investment

    (b)

    Investor 1 has made the best investment

    (c)

    Investor 2 suffered a net loss during the year

    (d)

    Investor 3 suffered a net loss during the year

    Correct Answer:

  • Consider the table given below providing details of traffic volume per hour for locations . When the total traffic volume is the same, the factor(s) which affect(s) the noise pollution level is/are

    (a)

    % of heavy vehicles

    (b)

    noise pollution level and average noise level

    (c)

    average noise level and % of heavy vehicles

    (d)

    indeterminable on the basis of details given

    Correct Answer:

  • In the Cartesian plane four points P, Q, R, S have co-ordinates (1, 1), (4, 2), (4, 4) and (1, 4). The area of the quadrilateral PQRS is

    (a)

    9

    (b)

    7.5

    (c)

    4.5

    (d)

    Impossible to find unless the lengths of the diagonals are known

    Correct Answer:

  • Consider the figure given below : PQRS is a square of side 1 unit and Q, S are the centres of the two circles. The area of the shaded portion is

    (a)

    pie/2

    (b)

    1/2

    (c)

    pi/4-1/2

    (d)

    pi/2-1

    Correct Answer:

  • A table has three drawers. It is known that one of the drawers contains two silver coins, another contains two gold coins and the third one contains a silver coin and a gold coin. One of the drawers is opened at random and a coin is drawn. It is found to be a silver coin. What is the probability that the other coin in the drawer is a gold coin ?

    (a)

    0.25

    (b)

    1

    (c)

    0.5

    (d)

    0.6

    Correct Answer: