KTSE (KVO Talent Search Examination) – 2007 Name: _____________________ ID No.: _______ Marks Obtained: ______ Instructions The exam duration is 2 hours There are 75 questions composed of o 56 questions with 1 mark each, 16 questions of 2 marks each and 3 questions of 4 marks each. o The questions with 2 marks or 4 marks have their marks highlighted in bold (2 marks or 4 marks) o There is NO negative marking The rough work should be done on separate paper provided. Most questions are multiple choice. With a pen, circle the correct answer on the question paper itself. Example Question: Which one does not belong to the group A: Fingers B: Thumb C: Knee D: Wrist E: Palm If you want to make a change after you have selected an answer, strike off (with 2 slanting lines) the earlier answer, and circle the right answer A: Fingers B: Thumb C: Knee D: Wrist E: Palm Since some students might see visual questions for the first time, here is an example of a visual question Example of Visual question:Fill in the white square with the figure that most logically fits in from the four figures (a,b,c,d) Answer: The correct answer is (d) since each row has a diamond, plus sign and dark circle on top of each figure. The blank square should have a plus sign on top of it. Also, each row has two white and one dark figures. The blank square should have a white figure. Hence the white square with the plus on top of it is the correct answer ALL THE BEST !! 1 Q1: (1 mark) Maya likes 225 but not 224; she likes 900 but not 800; she likes 144 but not 145. Which does she like: A: 1600 B: 1700 Q2: (1 mark) I am walking towards East. Then I take a right turn, then a left turn and then turn left and take another left. Which direction am I facing now? A: North B: South C: East D: West Q3: (1 mark) David purchased 6 litres of petrol for Rs. 25 per litre. A total tax of Rs. 30 was added to his bill. How much did he pay for each litre including tax? A: Rs. 55 B: Rs. 25 C: Rs. 30 D: Rs. 35 Q4: (1 mark) A trader buys many sacks of tea for Rs.1200 and sells it for Rs.1500. Per sack of tea he makes a profit of Rs. 50. How many sacks of tea did he have? A: 3 B: 4 C: 6 D: 12 E: 300 Q5: (2 marks) If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes? A: 3 B: 4 C: 6 D: 12 E: 36 Q6: (1 mark) What is the number that is one half of one quarter of one tenth of 400? A: 2 B: 5 C: 8 D: 10 E: 40 Q7: (1 mark) Which of these images can be put together to form a triangle A: B: C: 2 D: All of the above Q8: (1 mark) Which rectangle is on top of all the rest? A: Rectangle “A” B: Rectangle “B” C Rectangle “C” D: Rectangle “D” Q9: (1 mark) The line is longer in which image? 1: Image A 2: Image B 3: They are the same length Q10: (1 mark) If you count from 1 to 100, how many 7"s will you pass on the way? A: 10 B: 11 C: 19 D: 20 E: 21 Q11: (1 mark) What is the relationship between the two words? driving :: walking A: Both are transportation D: Both are outside B: Both are fast C: Both are tiring Q12: (1 mark) What is the relationship between the two words red :: blue A: Both are dark B: Both are strong C: Both are colors 3 D: Both are opposites Q13: (4 marks) Two men, starting at the same point, walk in opposite directions for 4 meters, turn left and walk another 3 meters. What is the distance between them? Answer: __________________ Q14: (1 mark) Assume that these two statements are true: All brown-haired men have bad tempers. Rohit is a brown-haired man. The statement Rohit has a bad temper is: A: True B: False C: Unable to determine Q15: (1 mark) What is the word coiled inside this circle? N G O R E R T S ANSWER: _____________ Q16: (1 mark) If m is an even integer, then the following is the sum of the next two even integers? A: 2m + 4 B: 2m + 6 C: 2m + 8 D: 2m + 10 E: 2m + 12 Q17: (1 mark) If x is an integer, then which of the following is the product of the next two integers greater than 2(x + 1)? A: 4x2 + 14x + 12 B: 4x2 + 12 C: x2 + 14x + 12 D: x2 + x+ 12 E: 4x2 + 14x Q18: (1 mark) If 4 percent of (p + q) is 8 and p is a positive integer, what is the greatest possible value of q? A: 196 B: 197 C: 198 D: 199 E: 200 Q19: (2 marks) If n is an odd integer, which one of the following is an even integer? A: n x n B: n/4 D: n(n + 3) E: n/3 C: 2n + 3 4 Q20: (1 marks) Select the odd one out A: State B: Country C: Ocean D: Continent E: City Q21: (1 mark) If x is an integer, which of the following CANNOT be an even integer? A: 2x + 2 B: x - 5 C: 2x D: 2x + 3 E: 5x + 2 Q22: (1 mark) Suppose you begin reading a book on page h and end on page k . If you read each page completely and the pages are numbered and read consecutively, then how many pages have you read? ? A: (h + k) B: (k - h) C: (k - h + 2) D: (k-h-1) E: (k-h+1) Q23: (2 marks) The digits of a three-digit number add up to 18. If the ten’ digit is twice the hundred’s digit and the hundred’s digit is 1/3 the unit’s digit, what is the number? A: 246 B: 369 C: 531 D: 855 E: 855 F: 893 Q24: (2 marks) A school has a total enrollment of 84 students. There are 30 students taking physics, 25 taking English, and 13 taking both. What percentage of the students are taking either physics or English? A : 30 percent B : 36 percent C : 50 percent D: 51 percent E: 58 percent Q25: (1 mark) A town has a population growth rate of 10% per year. The population in 1990 was 2000. What was the population in 1992? A : 1600 B : 2200 C : 2400 D : 2420 E : 4000 Q26: (2 marks) Seven years ago, Scott was 3 times as old as Kathy was at that time. If Scott is now 5 years older than Kathy, how old is Scott? A : 12 1/2 B : 13 C : 13 1/2 D : 14 E : 14 1/2 Q27: (1 mark) One banana costs 55 paisa. How much will two dozen bananas cost? A : Rs. 11.10 E : Rs. 14.40 B : Rs. 12.10 C : Rs. 13.20 5 D : Rs. 14.30 Q28: (1 mark) Which of the figures below the line of drawings best completes the series? A B C D Q29: (1 mark) Which of the figures below the line of drawings best completes the series? A B C D Q30: (1 mark) Please circle the figure continuing the series: A B C D 6 E Q31: (1 mark) Please circle the figure continuing the series: Q32: (1 mark) Please circle the figure continuing the series: Q33: (1 mark) Please circle the figure continuing the series: 7 Q34: (1 mark) Please circle the figure continuing the series: Q35: (1 mark) Please circle the figure continuing the series: Q36: (1 mark) Please circle the figure continuing the series: 8 Q37: (1 mark) Please find the figure continuing the series: Q38: (2 marks) Please find the figure continuing the series: A B C D E Q39: (1 mark) Please find the figure continuing the series: A B C D E 9 Q40: (1 mark) Which figure does not belong to the group A B C D Q41: (1 mark) Which figure does not belong to the group Q42: (1 mark) Which figure does not belong to the group Q43: (2 marks) Seven disks--G, H, L, O, P, S, U--are being inserted in a CD player. The order in which the disks are played is subject to the following restrictions - L must be played before both O and U. Exactly two disks must be played between G and P one of which must be L. H cannot be played first. - If L and O are played consecutively, which one of the following CANNOT be true? A: S is played second B: G is played second D: O is played forth E: H is played sixth C: L is played third Q44: (2 marks) There are five people--A, B, C, D, and E--in a police line-up standing in spaces numbered 1 through 6, from left to right. The following conditions apply; - There is always one empty space. - A is not standing in space 1, 3, or 5. - E is in the third position from the left. - A is standing to the immediate left of B. - If D stands in space 6, then C must stand in space ? A: 3 or 4 B: 5 or 6 C: 1 or 2 D: 2 or 3 10 E: 4 or 5 Q45: (1 mark) Lamp A is less bright than Lamp B Lamp B is brighter than Lamp C Lamp C is as bright as Lamp D Lamp B is brighter than Lamp D Lamp D is brighter than Lamp A Which lamp is the brightest? A: Lamp A E: no solution B: Lamp B C: Lamp C D: Lamp D Q46: (1 mark) Nitin and Rahul are the same height Ajay is shorter than Sunil Sunil is taller than Rahul Nitin is shorter than Ajay Who is/are the shortest? A: Nitin B: Rahul D: Ajay E: Sunil F: Nitin and Rahul Q47: (2 marks) 87 kg of potatoes are distributed in two boxes. One box weighs 11 kg less than the other one. How many kilograms of potatoes does the lighter box contain? A: 50 kg B: 38 kg C: 49 kg D: 47 kg Q48: (2 marks) The time shown in the clock is 2:30. What is the angle in degrees between the large and the small hand of the clock A: 90 degrees B: 120 degrees C: 105 degrees D: 45 degrees Q49: (1 mark) The time is 2:35. What time will the wall clock show if it is hung upside down? A: 8:35 B: 7:45 C: 8:05 D: 7:35 Q50: (2 marks) The second day of the month is a Friday. What day is the 24th of the month? A: Sunday B: Tuesday C: Wednesday D: Saturday E: Friday Q51: (2 marks) Five persons get together for a party. If each of the five persons shakes the hands of all the other members of the group, then what is the total number of handshakes? A: 25 B:24 C:10 D: 15 11 E: 20 Q52: (1 mark) If the day before yesterday is the third day after Tuesday, then what day is it today? A: Friday B: Sunday C: Saturday D: Thursday Q53: (1 mark) Which letter will come next in the series? B Q 1) F C R 2) G D S 3) T E ? 4) U Q54: (1 mark) Which number will come next in the series? 1 A: 14 3 5 7 B: 15 9 C: 16 11 13 D: 17 ? E: 18 Q55: (4 marks) Please enter the missing number: 3, 6, 18, 72? Answer: ___________ Q56: (2 marks) Please enter the missing number: 1 8 27 ? 125 216 A: 36 B: 45 C: 46 D: 64 E: 99 Q57: (2 marks) When a sky diver leaves the aircraft, he falls faster and faster until he reaches a maximum steady speed known as terminal velocity. He falls at this speed until the parachute opens. The parachute slows him down until a much smaller steady speed is reached. This speed remains constant until the diver touches the ground. Which of these graphs could show this information? 12 A: B: C: D: Q58: (1 mark) Which word does not belong to the group? A: pencil B: paper C: crayon D: pen Q59: (1 mark) Which word does not belong to the group? A: chair B: table C: wood D: cupboard Q60: (2 marks) A cube is made of a white material, but the surface is painted black. If the cube is cut by making 3 equal cuts in all 3 axes, how many small cubes will be formed which will have no surface as black ? A: 1 cube B: 9 cubes C: 4 cubes D: 8 cubes Q61: (1 mark) I’m a male. If Albert’s son is my son’s father, what is the relationship between Albert and myself? A: he is my brother B: he is my uncle E: he is not related to me C: he is my father Q62: (1 mark) HAND is to GLOVE as HEAD is to A: HAIR B: NECK C: SKULL D: CAP 13 D: he is my sister Q63: (1 mark) At a store, they cut the price 40% for a particular item. By what percent must the item be increased if you wanted to sell it again at the original price? A: 33.7% B: 40% C: 66.7% D: 50% Q64: (1 mark) Tracey has 6 blue, 4 orange, 8 red, and 2 yellow balls in her sack. She picks a ball out of the sack without looking. What is the chance that it is red? A: 25% B: 40% C: 60% D: 50% Q65: (1 mark) Each of these boxes is filled with tiny marbles of identical size and shape. Which of them contains the most marbles? C A: Box A B: Box B C: Box C D: Box D Q66: (4 marks) Car X traveled from A to B in 30 minutes. The first half of the trip was covered at 50 km/hr, and the second half at 60 km/hr. What was the average speed? A: 200/11 B: 400/11 C: 500/11 D: 600/11 E: 700/11 F: 55 Q67: (1 mark) Organise these words into two logical groups: nail, fish, hammer, pet, tool, cat, dog. A: (Nail, hammer, tool, fish) & (Pet, cat, dog) B: (Nail, tool, hammer) & (Fish, cat, dog, pet) C: (Nail, fish, cat) & (Pet, dog, tool, hammer) D: (Hammer, tool, dog) & (Nail, pet, cat, fish) Q68: (1 mark) Which of these shapes can be fixed to the following shape to make a hexagon ? 14 A: B: C: D: Q69: (1 mark) All booms are moons. If all moons are swoons, then all booms are swoons. This is A: True B: False C: It's impossible to know Q70: (1 mark) If all males are green, and all females are red then: A: All boys are pink D: All girls are green B: All girls are orange C: All boys are green Q71: (2 marks) Bill and Ben have a combined age of 91 years. Bill is now twice as old as Ben was when Bill was as old as Ben is now. How old are Bill and Ben? ANSWER: _____________ Q72: (1 mark) Which is the odd one out in the group? A: sit B: jog C: walk D: run Q73: (1 mark) Which is the odd one out in the group? A: lip B: chest C: ear D: nose Q74: (1 mark) Which is the odd one out in the group? A: Touch B: Taste C: Hear D: Smile E: SEE Q75: (1 mark) Dilip is taller than Ramesh and Ashish is shorter than Dilip. Which of the following statements would be most correct? A: Ashish is taller then Ramesh C: Ashish is as tall as Ramesh taller B: Ashish is shorter than Ramesh D: It is impossible to tell whether Ashish or Ramesh is 15 Rough Work 16