1. In a society it is customary for friends
of the same sex to hug and for friends
of opposite sex to shake hands when
they meet. A group of friends met in a
party and there were 24 handshakes.Which one among the following
numbers indicates the possible
number of hugs?
(a) 39
(b) 30
(c) 21
(d) 20
2. Two men, Anil and David, and two women, Shabnam and Rekha are in a sales group. Only two speak Tamil. The other two speak Marathi. Only one man and one woman can drive a car. Shabnam speaks Marathi. Anil speaks Tamil. Both Rekha and David can drive.
Which of the following statements is true?
(a) Both the Tamil speakers can drive a car.
(b) Both the Marathi speakers can drive a car.
(c) Both of those who can drive a car speak Marathi.
(d) One of those who can drive a car speaks Tamil.
3. In a plane, line X is perpendicular to line Y and parallel to line Z; line U is perpendicular to both lines V and W; line X is perpendicular to line V.
Which one of the following statements is correct?
(a) Z, U and W are parallel.
(b) X, V and Y are parallel.
(c) Z, V and U are all perpendicular to W.
(d) Y, V and W are parallel.
4. A cow costs more than 4 goats but less than 5 goats. If a goat costs between Rs. 600 and Rs. 800, which of the following is a most valid conclusion?
(a) A cow costs more than Rs. 2,500.
(b) A cow costs less than Rs. 3,600.
(c) A cow costs between Rs. 2,600 and Rs. 3,800.
(d) A cow costs between Rs. 2,400 and Rs. 4,000.
5. A society consists of only two types of people – fighters and cowards. Two cowards are always friends. A fighter and a coward are always enemies. Fighters are indifferent to one another. If A and B are enemies, C and D are friends, E and F are indifferent to each other, A and E are not enemies, while B and F are enemies.
Which of the following statements is correct?
(a) B, C and F are cowards
(b) A, E and F are fighters
(c) B and E are in the same category.
(d) A and F are in different categories.
6. In a box of marbles, there are three less white marbles than the red ones and five more white marbles than the green ones. If there are a total of 10 white marbles, how many marbles are there in the box?
(a) 26
(b) 28
(c) 32
(d) 36
7. Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful.
Which of the following statements is correct?
(a) Success rate is higher for women.
(b) Overall success rate is below 50%.
(c) More men cleared the examination that women.
(d) Both (a) and (b) above are correct
ANSWERS AND EXPLANATION:
1.(c) 21
2.(d) One of those who can drive a
car speaks Tamil.
3.(d) Y, V and W are parallel.
4.(d) A cow costs between Rs. 2,400
and Rs. 4,000.
5.(b) A, E and F are fighters
6.(b) 28
7. (c) More men cleared the
examination that women
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