INTEGRATED COMMON ENTRANCE TEST I - CET (MBA/MCA) PREVIOUS PAPER 2003 SECTION - A, ANALYTICAL ABILITY

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1 INTEGRATED COMMON ENTRANCE TEST I - CET (MBA/MCA) PREVIOUS PAPER 2003 SECTION - A, ANALYTICAL ABILITY Directions (Q. 1 to 10): In questions numbered 1 to 10, a sequence of numbers or letters that follow a definite pattern are given. Each question has a blank space. This has to be filled by the correct answer from the four given options to complete the sequence without breaking the pattern. 1. 2, 17, 82, 257,?, ) 624 2) 626 3) ) , 1, 2, 8,?, 27, 4, 64 1) 9 2) 6 3) 3 4) , , ,? 1) ) ) ) ,,,?, ) 2) 3) 4) AEIM, BFJN, CGKO,? 1) DHLP 2) DILP 3) DGLP 4) EILP 6. Z1A, Y4C,?, W16G, V25I 1) X9F 2) X9E 3) X9D 4) X9Y , , ,?, ) ) ) ) ABDH, DEGK, GHJN,?, NMPT 1) JKMO 2) JKNO 03) JKLO 4) KJMO 9. 5 : 36 : : 8 :? 1) 39 2) 69 3) 81 4) : 512 :: 1000 :? 1) ) ) ) 1331 DIRECTIONS (Qs. 11 to 20): Pick the odd thing out ) 25 2) 27 3) 32 4) ) 77 2) 87 3) 57 4) 67

2 ) 33 2) 23 3) 43 4) ) 124 2) 142 3) 241 4) TG VE XB ZA 1) TG 2) VE 3) XB 4) ZA 16. PRK, IRK, EST, ALN 1) IRK 2) EST 3) PRK 4) ALN 17. AKU, CMW, ENX, DNX 1) DNX 2) CMW 3) AKU 4) ENX ) ) ) ) , 143, 442, ) 143 2) 63 3) ) RT360 SN 256 DZ 104 MD 52 1) MD52 2) SN256 3) RT360 4) DZ104 Directions (Q. 21 to 25): Read the following table and answer the questions given below: The number of scooters and mopeds produced (in thousands) Scooters Mopeds What is the percentage increase in scooters from 1999 to 2001? 1) 80% 2) 83% 3) 85% 4) 86% 22. The ratio between the number of scooters mopeds is maximum in 1) ) ) ) The total production in minimum in which year? 1) ) ) ) The value of a scooter is Rs. 40,000 and that of a moped is Rs. 20,000 in What is the ratio between the total values of scooters and mopeds in that year? 1) 16 : 11 2) 15 : 11 3) 16 : 9 4) 15 : The production of mopeds is close to 50% of production of scooters in 2000 and 2001 in 1) ) ) ) 2001

3 Directions (Q. 26 to 30): The following pie-diagram given the position of employment in a city in Labour 90 unemployed The ratio of number of professionals to teachers is: 1) 2 : 3 2) 1 : 3 3) 3 : 2 4) 3 : The percentage of unemployed in the city is: ) 43 % 2) 23 % 3) 30% 4) 33 % If the number of professionals is 27,000, what is the total number of persons in the city is: 1) 3,24,000 2) 2,34,000 3) 4,23,000 4) 3,42, If the average incomes of teachers is 50% of that of professional employees and the total income of professional employees is Rs thousands. What is the total income of the teachers (in thousands)? 1) ) 792 3) ) If 1980 are labours, how many are unemployed? other employees 30 Teachers 20 Professionals 30 1) ) ) ) A is the father of B and C. E is the mother of C and D is the wife of F. F is the brother of E. How is D related to B? 1) maternal aunt 2) paternal aunt 3) maternal grandmother 4) paternal grandmother 32. If DEAR is written as OMKN and LEAK is written as XMKY, then how LEADER can be written in that code? 1) XMKONM 2) MXOKMN 3) XMKOMN 4) YKMONM 33. Which number is present in all the three figures Automobiles 10 1) 2 2) 3 3) 1 4) 5

4 34. What will come in the place of question mark (?) in the following sequence? SEQUENTIAL, EQUENTIAL, EQUENTI,?, QUEN 1) QUENTI 2) QUENT 3) UENTI 4) EQUENT 35. Going 50m to the south of her house, a woman turns left and goes another 20m. Then, turning to the north, she goes 30m and then starts walking to her house. In which direction is she waking now? 1) East 2) South-East 3) North 4) North-West Directions (Q. 36 to 38): If MISTAKE is coded as and NAKED is coded as 84123, how are the following words coded? 36. INTIMATE 1) ) ) ) ASSIST 1) ) ) ) DISTANT 1) ) ) ) If (x - 2) is a factor of x 2 + 3qx - 2a then the value of q is 1) 2 2) -2 3) 1 4) =? ) 2) 3) 4) The volumes of two cones of equal height are in the ratio 1849:961. What is the ratio of their radii? 1) 43 : 31 2) 43 : 29 3) 39 : 31 4) 41 : A sum becomes double in 8 years at simple interest. What is the rate percent per annum? 1) 12% 2) 8% 3) 12.5% 4) 7.5% 43. The marketing price of an article is 30% above the cost price. After allowing a certain discount, a profit of 17% is obtained on it. What is the discount percentage? 1) 13% 2) 10% 3) 5% 4) 7.5% 44. What is the principal amount which earns Rs. 252 as compound interest for the second year at 10% p.a. is (in rupees)? 1) ) ) ) kmph=...m/s 1) 40 2) ) 10 4) A shopkeeper sold a watch for Rs. 630, after giving a discount of 10% on its marked price. If he had not allowed any discount, the profit would be 25%. What is the cost price of the watch? 1) Rs ) Rs ) Rs ) Rs If 8 2x-4 = 16 x-2 then x =? 1) 2 2) 4 3) 6 4) 1

5 48. If 25% of 280 = 7% of x, then what is the value of x? 1) ) 100 3) 500 4) The diameter of a wheel is 1.26 m. How many meters will it cover in 500 rotations? 1) ) ) ) A train running at 36 mps passes a man walking in opposite direction at 4 mps in 10 sec. What is its length? 1) 400 m 2) 480 m 3) 360 m 4) 460 m 51. A sphere made of copper of radius 3cm is melted into a wire of diameter 0.2cm. What is the length of the wire (in mt)? 1) 36 2) 34 3) 28 4) The number of three digited numbers when divided by 11 leaves 10 as remainder is: 1) 81 2) 80 3) 82 4) The L.C.M and G.C.D of two numbers are 504 and 12 respectively. If one number is 72, what is the other number? 1) 60 2) 64 3) 84 4) Three numbers are in the ratio 2:3:4 and their LCM is 360. What is the sum of these three numbers? 1) 240 2) 270 3) 300 4) If the number a is divisible by 9, what is the value of a? 1) 4 2) 3 3) 2 4) If A = ( ) then then A8 =? 0 1 ( 1 64 ) ( 1 32) ( 1 16) ( 1 8) 1) 2) 3) 4) ( 3-1) 6 + ( 3 + 1) 6 =? 1) 227 2) 458 3) 729 4) None x Lt x 2 x+2 1) 90 2) 135 3) 270 4) The number of solutions 2x + 3y = 5 and 4x + 6y = 12 1) 1 2) 2 3) 3 4) If x = then x + =? x 1) 16 2) 7 3) 14 4) 28

6 =? ) 2) 2 3) 4) If a and b are irrational. then the product ab is 1) a = b 2) a b 3) a > b 4) a < b 63. If t 8 = 17, t 19 = 39, t 25 =? in A.P. 1) 50 2) 51 3) 49 4) If A= 30, B = 60, C = 90, then the ratio of sides opposite to A, B, C 1) 1 : 3 2) 1 : 2 : 3 3) 3 : 2 : 1 4) None 65. If a = x sin θ + y cos θ ; b = sin θ x cos θ, then y 2 a 2 =? 1) 0 2) b 2 - x 2 3) y 2 + a 2 4) a 2 + b If x =, y = then x 2 + xy + y 2 =? ) 99 2) 100 3) 98 4) If a b = (a - b) 2 + 2, then 3 (2 1) =? 1) 3 2) 2 3) 1 4) (1 + x 2 + x 4 ) 1 + (1 + x 2 +x -2 ) 1 + (1 + x -4 + x -2 ) 1 =? 1) 1 2) 0 3) x 24 4) x 6 + x 8 + x If (x, y) is a solution of x 2 + y 2-20y = 0. then G.C.D of x, y is 1) 5 2) 40 3) 30 4) If A = ( 5 2 ) then A3-4A 2 =? ) ( ) 2) ( ) 3) ( ) 4) None of these If f(x) = x 2 + 1, g(x) = x + 2. x R then f(g(x)) =? 1) x 2 + 4x + 5 2) x 2-4x + 5 3) x 2 + 4x - 5 4) x 2-4x If the straight line y = mx + c, passes through (0, 2) and (1, 0), then order pair (c, m) =? 1) (2, -1) 2) (2, -2) 3) (3, -2) 4) None of these 73. If cos θ + sec θ = 2, then cos 4 θ + sec 4 θ =? 1) 2 2) 3 3) 1 4) [1-{1-(1-x 3 ) -1 } -1 ] -1 / 3 =? 1) x 2) x 1/2 3) x 1/3 4) None

7 75. If f(x) = x x - 1, x R, then the number of solutions of f(x) = o is 1) 0 2) 1 3) 2 4) 3 { 4x If A = P N : P : a prime and P = + 5x +10 for some n } N then n(a) =? n 1) 1 2) 2 3) 3 4) If x R, x x - 24 < 0 then 1) 12 < x < 2 2) 2 < x < 12 3) 2 < x < 12 4) x > Which of the following statements is a contradiction? 1) ( q ) Λ p 2) p Λ ( p ) 3) (p q) ( p ) 4) p q 79. A = (3, 7, 12, 15, ) and B = {x A : x is a perfect square} then A- B =? 1) A 2) {0} 3) B - A 4) B 80. I am 8 times as old as you were when I was old as you are said a man to his son. What are the ages of Father and the Son? (in years) 1) 47, 28 2) 49, 26 3) 48, 27 4) 52, A rectangle of length 12 cm and breadth 5 cm is inscribed in a circle. What is its radius? 1) 6 cm 2) 6.5 cm 3) 7 cm 4) 8.5 cm 82. How many three-digited natural numbers are there which leaves 14 as remainder, when divided by 15? 1) 64 2) 66 3) 68 4) 60 x 2 + 5x 83. Lt x 0 x 1 1) 2) ) 5 4) Cannot be determined 84. A can do a work in 30 days and B alone can do it in 20 days. A started the work and after 5 days B joins him. What is the total number of days taken to complete the work? 1) 10 2) 12 3) 15 4) 16 Directions (Qs. 85 to 87): In the following Questions the Questions is followed by two statements a and b. 1. If you can get the answer from (a) alone but not from (b) alone 2. If you can get the answer from (b) alone but not from (a) alone 3. If you can get the answers from (a) and (b) together, although neither statement by itself suffices 4. If statement (a) alone suffices or statement (b) alone suffices. 85. What is the value of x + y? a) x - y = 4 b) 3x + 3y = 4

8 86. Did the xyz corporation higher sales in 1968 or in 1967? a) In 1968 sales are twice the average (arithmetic mean) of the sales in 1968, 1969 and b) In 1970, the sales were three times those in K is an integer. Is K divisible by 127? a) K is divided by 4 b) K is divisible by The average of five numbers is 24, If one more number is added, the average increases to 34. The number added is? 1) 60 2) 72 3) 84 4) None 89. The sum of infinite geometric progression? 1, 0.9, 0.81, is? 1) 10 2) 9 3) 2 4) None 90. If the radius of a circle is increased by 25%, the percentage of increase in its area is about? 1) 25.5% 2) 50% 3) 56.25% 4) None 91. The range of observations 26, 19, 47, 59, 4, 16, 11, 29 is 1) 86 2) 59 3) 55 4) If the side of a square are doubled, then its perimeter would increase by? 1) Two times 2) Four times 3) More then four times 4) None of the above % of 30% of 30% of 3000 is 1) 10 2).81 3) 8.1 4) The probability of a leap year selected randomly has 53 saturdays is 1 2 1) 2) 3) 01 4) ( 2 + 1) 3 - ( 2-1) 3 =? 1) 2 2) 14 3) 5 2 4) Find the slope of the line 4x + 5y - 6 = ) - 2) 3) 4) If sin θ = then tan θ =? ) 2) 3) 4) The number which is neither prime nor composite is 1) 0 2) 1 3) -1 4) 2

9 The determinant of the matrix ( ) is ) 1 2) 3) 0 4) None =? 1) 2.7 2) ) ) ANSWERS 1-2; 2-1; 3-2; 4-2; 5-1; 6-2; 7-3; 8-1; 9-3; 10-4; 11-4; 12-4; 13-1; 14-3; 15-3; 16-3; 17-1; 18-2; 19-4; 20-2; 21-2; 22-2; 23-3; 24-1; 25-2; 26-3; 27-4; 28-1; 29-2; 30-3; 31-1; 32-3; 33-2; 34-1; 35-4; 36-3; 37-2; 38-1; 39-3; 40-1; 41-1; 42-3; 43-2; 44-3; 45-3; 46-1; 47-1; 48-1; 49-2; 50-1; 51-1; 52-1; 53-3; 54-2; 55-4; 56-1; 57-4; 58-2; 59-1; 60-3; 61-1; 62-2; 63-2; 64-1; 65-2; 66-1; 67-2; 68-1; 69-1; 70-1; 71-1; 72-1; 73-1; 74-1; 75-1; 76-1; 77-2; 78-4; 79-1; 80-3; 81-2; 82-4; 83-3; 84-3; 85-3; 86-1; 87-2; 88-3; 89-1; 90-3; 91-3; 92-1; 93-4; 94-2; 95-2; 96-1; 97-2; 98-2; 99-4;

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