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IMO_Level_2_-_Class_5_(2013-2014)_N4W2K.pdf

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EarnestHyperbola

Uploaded by EarnestHyperbola

Bharatiya Vidya Bhavan

2013

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logical reasoning mathematical puzzles competitive exams

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IMO Level 2 - Class 5 (2013-2014) 54 26 n 96 ha 74...

IMO Level 2 - Class 5 (2013-2014) 54 26 n 96 ha 74 Logical Reasoning 73 Ro Q 1. Q 2. Find the number of cubes in the given solid figure. In a certain code, ZKKOV is coded as APPLE. Which of the following is coded as POEAR? A KLHVZ B KLZVH C KLVZH D KLVZI A 21 B 23 C 24 D 22 Q 3. Q 4. Some letters are given which are numbered 1, 2, 3, Find the figure from the options which completes 4, 5, 6 and 7. Find that combination of numbers so the Fig. (X). that letters arranged accordingly form a meaningful word. A 2,1, 5, 3, 4, 6, 7 B 6, 4, 2, 1, 5, 3, 7 C 3, 4, 5, 2, 1, 6, 7 D 1, 6, 2, 4, 5, 3, 7 A B C D Q 5. Q 6. Manha is facing the playground now after making a Find the missing figure from the options which will 3/4 turn in a clockwise direction. She was facing continue the series established by the problem _______ before. figures. A A Stadium B Shopping centre B C Library D Clinic C D Q 7. Q 8. Find a figure from the options in which Fig.(X) is Select the correct mirror image of figure (X). embedded as one of its part. A A B B C C D D Q 9. Q 10. Which number will replace the question mark? Saurabh remembers that his sister's birthday was before 11 th but after 8 th December, while his brother remembers that their sister's birthday was after 9 th but before 15 th December. On what date does their sister's birthday fall? A 98 A 8 th December B 105 B 10 th December C 110 C 9 th December D 125 D 11 th December Q 11. Q 12. If the pattern continues, what letter will be at the Count the number of triangles in the given figure. 99 th position? A Z B Y C X D Can't be determined A 22 B 23 C 25 D None of these Q 13. Q 14. The following question consists of a Problem Set. Which of the following letter is fifteenth to the right Select a figure from the options which will continue of the sixth letter from the left end of the given the series established by the Problem Set.Problem arrangement? Set A D B B C E A D A B C D Q 15. Q 16. Which of the following completes the first pair in Pointing to a photograph, Rahul said, "She is the the same way as the second pair? daughter of my grandfather's only son". How is Rahul related to the girl in the photograph? A Father B Brother C Cousin A D Can't be determined B C D Q 17. Q 18. What comes next in the given number series ? Which of the following diagrams indicates the best 0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ? relation between Triangle, Square and Rectangle? A 28 B 30 C 32 A D 35 B C D Q 19. Q 20. Find one word which can be made from the letters If '-' means 'added to', '×' means 'subtracted from', of the given word. '÷' means 'multiplied by', and '+' means 'divided by'; GERMINATION then 20 × 12 + 4 - 16 ÷ 5 = ? A GERMAN A 17 B NOTION B 97 C NOTATION C 80 D SMART D 63 54 26 n 96 ha 74 Mathematical Reasoning 73 Ro Q 21. Q 22. MMMMDCCI + MMMMDCCCI = _______. The value of 64.1 × 100 + 4.5 × 70 = A 9052 A 5725 B 8502 B 7625 C 9502 C 6752 D 7052 D 6725 Q 23. Q 24. Which figure has greatest unshaded fraction? If the product of 2 4 ⁄ 7 and 3 is subtracted from a number, it gives 21 5 ⁄ 14. Find the number. A 13 12 ⁄ 16 B 8 9 ⁄ 14 C 11 10 ⁄ 14 D 29 1 ⁄ 14 A Figure I B Figure II C Both are equal D Can't be determined Q 25. Q 26. The given table shows the postage rates at a post What should be the number in the empty box ? office. Study carefully and answer the following question. A ÷ 24 B ÷ 69 How much postage is needed to send a local mail of C ÷ 32 mass 1460 g? D × 13 A Rs. 15.90 B Rs. 19.00 C Rs. 16.90 D Rs. 20.30 Q 27. Q 28. Find the unshaded area. The given line graph shows the number of sofa sets sold in a furniture shop from January to June. Study it carefully and answer the given questions. A 189 cm 2 B 185 cm 2 What was the decrease in the number of sofa sets sold from April to May? C 198 cm 2 A 6 D 115 cm 2 B 5 C 3 D 10 Q 29. Q 30. The given line graph shows the number of sofa sets The given table shows the time taken by five sold in a furniture shop from January to June. Study children to complete a science quiz. Which child it carefully and answer the given questions. had the fourth fastest time? If each sofa set was sold at Rs. 32,000, how much A Kirti money was collected from the sale of the sofa sets from January to March? B Mahek A Rs. 1042000 C Aman B Rs. 4012000 D Aakash C Rs. 102400 D Rs. 1024000 Q 31. Q 32. The given figure is made up of three identical In 189485, the value of 8 in the ten thousand's place squares of sides 8 cm each and CD = DE = EF = is _______times the value of 8 in the ten's place. GH = HI = IJ. Find the perimeter and area of the figure. A 10 B 100 C 1000 D 10000 A 83 cm, 200 cm 2 B 86 cm, 64 cm 2 C 80 cm, 192 cm 2 D 86 cm, 182 cm 2 Q 33. Q 34. What is 1 less than 1/4 of a million? Find the missing number in the box. A 249999 A 2780 B 500001 B 27800 C 500000 C 278000 D 499991 D 2780000 Q 35. What is the value of 188888 - 88888 × 10 + 4000000 ÷ 2? A 2500000 B 2050000 C 1300008 D 1300080 54 26 n 96 ha 74 Everyday Mathematics 73 Ro Q 36. Q 37. Nitin set off from Town A. After 2 hours 20 Tanu has 196 beads. Shalini has 1 3 ⁄ 4 times as many minutes later, he stopped at Town B for lunch. He beads as Tanu. How many beads do they have then took another 2 hours 5 minutes to reach Town altogether? C. How long was his lunch break? (Give your answer in hours and minutes) A 343 B 439 C 339 D 539 A 1 hr B 2 hrs 25 mins C 1 hr 25 mins D 1 hr 35 mins Q 38. Q 39. Garima paid a down payment of Rs. 220000 for a A box containing 18 jars of orange juice weighs 17 car. She then paid a monthly installment of Rs. kg 500 g. If the empty box weighs 1 kg 300 g, what 9800.50 for 72 months. Find the total amount paid is the weight of 5 jars of orange juice? for the car. A 4 kg 250 g A Rs. 5,90,586 B 3 kg 500 g B Rs. 5,90,596 C 3 kg 250 g C Rs. 8,90,586 D 4 kg 500 g D Rs. 9,25,636 Q 40. Q 41. Mohit spent 2/9 of his money on a watch and Rs. A study is 6 m wide by 11 m long. Mrs. Sharma 200 on a tennis racket. If he had 1/2 of his money wants to partition an area that measures 2 m wide left, how much did watch cost? by 5 m long for bookshelves. Find the remaining area of the study. A Rs. 360 A 58 m 2 B Rs. 720 B 60 m 2 C Rs. 320 C 56 m 2 D Rs. 160 D 50 m 2 Q 42. Q 43. Latika bought 9 litres of apple juice. She poured the If Jatin is able to save Rs. 6500 in a month, how apple juice equally into 6 containers. There was many months will he take to save Rs. 91,000? 0.18 litre of juice left. What was the volume of juice in each container? A 24 months A 1.48 L B 32 months B 1.47 L C 14 months C 1.45 L D 34 months D 1.37 L Q 44. Q 45. 4838 people took part in a marathon. 425 people 3 shirts and 7 pairs of pants have a total of 55 gave up after the first hour. One third of the buttons. Each pair of pants has 5 fewer buttons than remaining people gave up after the second hour. The each shirt. How many buttons are there on each rest completed the marathon. How many people shirt? completed the marathon? A 4 A 2945 B 9 B 2942 C 25 C 2940 D 30 D 2948 54 26 n 96 ha 74 Achievers Section 73 Ro Q 46. Q 47. Find the difference between area of the shaded part Match the columns: and unshaded part of the figure. A 32 cm 2 A (i) - P, (ii) - R, (iii) - Q, (iv) - S B 36 cm 2 B (i) - S, (ii) - R, (iii) - P, (iv) - Q C 38 cm 2 C (i) - S, (ii) - P, (iii) - R, (iv) - Q D 24 cm 2 D (i) - Q, (ii) - S, (iii) - P, (iv) - R Q 48. Q 49. Which of the following figures has the smallest Find P + Q × R - S. unshaded area? A B A 25 B 26 C 27 D 28 C D Q 50. One third of the members of a badminton club are girls. Which of the following bar graphs is the correct representation of the members of the club? A B C D Answers 54 26 n Logical Reasoning 96 ha 74 1.D, 2.D, 3.B, 4.B, 5.A, 6.D, 7.C, 8.C, 9.C, 10.B, 11.A, 12.C, 13.D, 14.D, 15.C, 16.B, 17.D, 18.B, 19.A, 20.B, Mathematical Reasoning 21.C, 22.D, 23.A, 24.D, 25.D, 26.B, 27.A, 28.A, 73 Ro 29.D, 30.A, 31.C, 32.C, 33.A, 34.B, 35.C, Everyday Mathematics 36.C, 37.D, 38.D, 39.D, 40.D, 41.C, 42.B, 43.C, 44.B, 45.B, Achievers Section 46.D, 47.B, 48.D, 49.B, 50.D,

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