I MODEL QUESTION PAPER PART 'A' GENERAL APTITUDE (logical reasoning, graphical analysis, analytical and numerical ability, quantitative comparisons, series formation, puzzles, etc.) I I 1. A sphere of radius 4 cm is carved from a homogeneous sphere of radius 8 cm and mass 160 g. The mass of the smaller sphere is 1. 2. 3. 4. 2. g. g. 1 minute 2 minutes 3 minutes 4 minutes There are k baskets and n balls. The balls are put into the baskets randomly. If k 0> o c U C .l9 .l9 '" ii .!!! "0 time - - time - 4. 3. 0> 0> U c U C ro .l9 1!! '" ii "0 time 12. time - In triangle ABC, shown in the figure, AB is perpendicular to BC. Further, BD is perpendicular to AC. If AD = 9 cm and DC = 4 cm, the length BD is B A 1. 2. 3. 4. 13. gem 0 4em C 6cm 6.5 cm 36 -cm 13 13 -cm 36 A box of sticks of equal lengths is provided. The minimum number sticks needed to build a frame to enclose a 3 dimensional volume is 1. 2. 3. 4. 6 12 3 8 11--------------------------------------- 14. 5 kg of adulterated rice has 2% stones in it and the rest is rice. Half of the stone content was removed. Now the percentage of stone content in it is 1. 0.99% 1% 1.1% 1.01% 2. 3. 4. 15. A coin is tossed six times. The probability that heads will occur at least once is 1. 16. 64 1 2. - 3. - 4. - 3 1 64 3 2 Two parameters TC and TF are related as shown in the table. Find the value of TF corresponding to a TC of75. I TC r TF 1. 2. 3. 4. 17. 63 - 10 132 25 77 150 1122 75 ? 100 212 167 162 150 200 Several identical cubes are arranged in a close-packed single layer. If the area of the layer is A and the volume of the layer is V, then the number of cubes in the collection is 1. 2. 3. 4. V/A. A3/V2. V2/A3. A/V. 18. Circle PQR is inscribed in a quadrilateral ABCD. The circle touches side AD at point S. AP = 8 cm, QC = 3 cm and DC = 6 cm. The length of side AD is B c D 1. 2. 3. 4. 19. 9cm 10 cm 11 cm 12 cm The distribution of wages in a population is shown below for 2 years. en c 0 en ... Q) 0.. ..... 0 ... o 2000 x 1999 Q) ..0 E ::l x C wages The average wage( s) 1. 2. 3. 4. in in in in 1999 is 1999 is the two the two greater than that in 2000. less than that in 2000. years are equal, but the variances are unequal. years are unequal, but the variances are equal. 20. The graph below shows crime rates and convictions for 5 years in a certain society. x crimes (/) 0 convictions (/) ItS o ..... :ic 0 $ .... <1> .0 E :::J c Q ~ ~ ? f <:> 0 ~ f years Which of the following is correct? 1. 2. 3. 4. The cause of convictions being on the rise is better law enforcement. Falling crime rates have slowly reduced the conviction rates also. There are fewer convictions because crime rate has fallen. The graph must be wrong