01. The difference between the squares of two consecutive odd integers is always divisible by ____ A) 3 B) 6 02. Which is greater (i) A) (i) C) 7 of B) (ii) (ii) D) 8 of ? C) (i) = (ii) ( ) ( ) D) none 03. The unit digit of a two digit number is 6. If 9 is added to the number, then the number obtained is th of the number itself. The sum of the digits of original number is __________ A) 7 B) 8 C) 9 ( ) D) 10 04. In ABC, BA and CA are produced to G and F respectively. DE is parallel to BC and DE passes through A. BAD = 2x-70, ACB= x-20 and FAG= 2x+20 then EAC = ___ ( ) A) 30 B) 25 C) 35 D) 40 05. In an isosceles triangle, the sides are integers. The longest side is the least odd prime number. The possible perimeter of the triangle is ______ A) 5 B) 6 C) 7 D) 9 ( ) 06. If 343 is the third proportional of a and b where a : b = 1 : 7 then the value of a + b is ___ ( ) A) 14 B) 24 C) 56 D) 63 07. Three fourth of a number is 60 more than its one-third. The number is _____ ( ) A) 84 B) 108 KMO - 2013 - CLASS VII C)144 D) 96 1 08. If the circumference of a circular sheet is 154 m, then its area is ___________ sq. mts. ( ) A) 24.5 09. If B) 1886.5 , , C) 2886 D) none then ( A) p < q < r B) q < r < p C) p < r < q D) r < q < p ) 10. 50 is divided into two parts such that the sum of their reciprocals is . The parts are __ A) 30, 20 B) 26, 24 ( C) 28, 22 ) D) 36, 14 11. The shortest distance between two intersecting lines is __________ A) 0 B) 1 C) 2 D) can’t say ( ) 12. Anil is as much younger to Vivek as he is older to Tarun. If the total ages of Vivek and Tarun is 48 years . How old is Anil ? A) 24 B) 12 C) 36 D) 48 ( ) 13. In ∆ ABC, D is a point on BC such that AD=BD=CD then ABC is _________ angled triangle. ( ) A) obtuse B) acute C) right D) none 14. If 20 % of P + Q = 50 % of P – Q then P : Q = _______ A) 5 : 7 15. If 25 % of B) 7 : 5 C) 7 : 3 ) D) 7 : 8 of a certain number is 520, then what is 60 % of that number ? A) 1920 ( ( B) 1152 KMO - 2013 - CLASS VII C) 1552 ) D) 1225 2 16. A wheel makes 1000 revolutions covering a distance of 88 km. The diameter of the wheel is ____ mts. ( ) A) 14 B) 24 C) 28 D) 40 17. The mean weight of 8 boys is 55 kgs and the mean weight of a group of girls is 52 kgs. The mean weight of all the children is 53.2 kg. The number of girls are ________ ( ) A) 14 B) 12 C) 16 D) 14 18. The number 3, 5, 7, 8 and N are arranged in ascending order. If the mean of the number is equal to the median, then N = ____________ A) 12 B) 10 C) 16 D) 14 ( ) 19. The product of first three composite numbers is ______________ A) 316 20. B) 192 of A) 1 C) 218 D) 315 = _____________ B) 5 C) ( ) ( ) D) 21. If the cost of 2 pencils and 3 pens is Rs. 9, the cost of 4 pencils and 6 pens is Rs. ____________ ( ) A) 16 B) 24 22. The complement of C) 72 is _____________ A) B) C) D) KMO - 2013 - CLASS VII D) 18 ( ) 3 23. Which number comes before the sum of -6 and -1? A) -5 B) -6 C) -7 ( ) D) -8 24. The area of regular hexagon whose side measures 18cms is ( ) ____________ sq cms. A) B) C) D) 846 25. The median of the first five whole numbers is ___________ ( A) 2 B) 3 26. If C)10 then A) 1 : 2 C) 2 : 1 then 27. If A) - 4 B) - 3 28. D) 15 = _____________ B) 3 : 1 29. D) - 1 C) y - c If then 30. In B) 281 ABC , A) 30 C) 271 then B) 45 ( ) ( ) D) - c - y reflex angle is A) 261 ) = ____________ C) - 2 B) - y + c ( D) 5 : 1 = ___________ A) c + y ) C) 90 of ( ) ( ) D) 251 = ________ D) 60 ____________ 31. A) 2997 B) 5979 KMO - 2013 - CLASS VII C) 5997 D) 5994 ( ) 4 32. = ________ B) A) C) 33. The square root of A) 1 A) 35. = ____________ B) 3 then 34. D) C) ) ( ) ( ) D) = ____________. B) ( C) D) If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is A) B) then the fraction is ____ C) D) ( ) 36. The area of a square field is 64 hectares. Then the perimeter of the square field is ____________ ( ) A) 3200 m B) 32 hectares C) 6400 m D) 800 m 37. Which of the following is meaningless ? ( ) “System of decimal fractions “ was introduced by _______ ( ) A) 38. B) C) D) A) Srinivas Ramanujan B) John Napier C) Pascal D) C. V. Raman KMO - 2013 - CLASS VII 5 39. is read as _____________ A) 2 raised to the power 3 B) 3 squared C) 3 raised to the power 2 40. D) 3 cubed B) 600 In the given figure, for which value of is || A) 43 B) 45 C) 47 D) 55 C) 750 D) 900 A) Rectangle B) Triangle In ( ) ( ) ? 42. Which of the following is a regular polygon ? 43. ) Two angles are supplementary. If one angle is twice the other, what ( ) is the difference between the angles? A) 450 41. ( C) Trapezium D) Square ABC, then = A) 40 ( B) 20 C) 10 ) D) 30 44. In ABC, D is a point on produced BC such that AB = CD and BC = AD then ADC ( ) A) 45. CDA B) BAC C) CAB D) CBA An isosceles triangle will have __________ lines of symmetry. A) one B) two C) three D) infinity ( ) ( ) 46. Which of the following expressions is a polynomial ? A) B) C) D) KMO - 2013 - CLASS VII 6 47. In a triangle, which of the following are not concurrent lines ? A) medians B) altitudes C) angular bisectors D) none ( ) 48. Which of the following always lies in the interior of a triangle ? A) Orthocentre C) Excentre B) Circumcentre D) Incentre ( ) 49. Number of independent measurements that are needed to construct an equilateral triangle is ____ ( ) A) 1 B) 2 C) 3 D) 4 50. In the given figure, what is the sum of the degree measures of the four angles marked with arrows (in terms of )? A) B) 2 C) 360- D) 360-2 ( ) 51) Write the number that comes next in the series given below 5, 9, 18, 34, ____ 52) Find out the wrong number in the series given below -14, -9, -3, 5, 12, 21 53) Find the Odd Man Out in the list of numbers given below 336, 111, 224, 515, 428, 236 KMO - 2013 - CLASS VII 7 54) In a clock, during a given time, the ratio of the degrees turned between the hours hand and minutes hand is _____ 55) Write the total number of weeks in two leap years in decimal form (correct to two places). 56) In a triangle ABC, if C, then A is 20 more than B and 25 more than C=? 57) The area of a square is ‘x’ sq.units. The area of that square if each side is increased by 50% will be ____ sq.units 58) What least integer must be added to 2000 to obtain a number that is exactly divisible by 18 ? 59) In a test, you answered 45 questions correctly, did not answer 15 questions and answered 20% of the questions incorrectly. How many questions were there in the test ? 60) A train covers the distance‘d’ between two cities in ‘h’ hours arriving 1 hour late. At what speed should the train travel to arrive on schedule? KMO - 2013 - CLASS VII 8
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