Practice Test:Quantitative Ability
1.A man has nine friends – four boys and five girls. In how many ways can he invite them, if there have to be exactly three girls in the invitees? (CAT 1996)
a.320 b.160 c. 80 d.200
2.How many triangles can be formed by joining 12 points, 7 of which are collinear?
a.220 b.35 c.10 d.185
3.In how many ways can eight directors, the vice-chairman and chairman of a firm be seated at a round table, if the chairman has to sit between the vice-chairman and the director? (CAT 1997)
a.9! * 2 b.2 * 8! c.2 * 7! d.none of these
4.How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the units place must be greater than that in the tenth place? (CAT 1998)
a.54 b.60 c.5!/3 d.2*4!
5.There are five boxes, each of a different weight and none weighing more than 100. Arun weighs two boxes at a time and obtains the following readings in grams: 110, 112, 113, 114, 116, 117, 118, 119, 120, 121. What is the weight of the heaviest box? (CAT 2000)
a. 60 b.61 c.64 d.can’t be determined
6.n how many ways is it possible to choose a white square and a black square on a chess board so that the squares must not lie in the same row or column? (CAT 2002)
a.56 b. 896 c.60 d.768