Quantitative Aptitude

179 questions in Science & Technology.

Asked in 1995

1995 · Q143 Science & TechnologyQuantitative Aptitudeeasy

In the Cartesian plane four points P, Q, R, S have coordinates (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

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Official answer(b) 7.5

1995 · Q147 Science & TechnologyQuantitative Aptitudemoderate

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)curve (a) shown in the figure
(b)curve (b) shown in the figure
(c)curve (c) shown in the figure
(d)curve (d) shown in the figure

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Official answer(c) curve (c) shown in the figure

1995 · Q148 Science & TechnologyQuantitative Aptitudemoderate

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

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Official answer(b) 44

1995 · Q150 Science & TechnologyQuantitative Aptitudedifficult

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 in 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 %

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Official answer(b) 18 %