Mathematics-Class-5 DPP Talent Search Examinations

Each question has four alternatives marked (A), (B), (C) and (D), but only one of these alternatives is the correct answer. Find the correct answer. 1. In a large park of length 400 metres and breadth 200 metres, there is a track of width 4 metres around the park as well as in the middle, as shown, for the persons to take morning and evening walks. Find the total area of this complete track. (A) 8064 sq m (B) 7064 sq m (C) 8056 sq m (D) 7056 sq m 2. In the following operation of division, what digits are given by the alphabets A, B, C and D, respectively ? Rough Work (A) 6 7 6 8 (B) 6 7 6 6 (C) 6 8 6 8 (D) 7 6 8 6 3. Six faces of a cubical dice are marked 1, 2, 3, 4, 5 and 6. On the dice, the numbers of its sides, in three different cases, are as under : 1 1 1 6 5 3 5 3 2 The number on the opposite side of 6 is (A) 2 (B) 4 (C) 3 (D) 2 or 3 [2] 4. How signs + or – should be used in places of dotted lines between two fractions to satisfy the following equation ? Rough Work 1 ..... 1 ..... 11 ..... 5  2 2 4 12 6 (A) +, +, + (B) –, +, + (C) +, +, – (D) +, –, + 5. Study the relation between the numbers inside and outside the jars, shown below : Which one of the following numbers should replace the sign .?., so that the same relation holds good ? (A) 24 (B) 27 (C) 30 (D) 32 6. On dividing a number successively by 7, 9 and 11, the remainders are respectively 4, 6 and 7. Find the least possible number 7. By which number of two digits should 5439 be multiplied such that the first two digits on the right of the product are 33 ? Also write the product. (A) 47, 256533 (B) 57, 255633 (C) 37, 256533 (D) 47, 255633 8. Anil sold his camera for Rs 4050, at a loss of 10%. At what price he should have sold it to earn a profit of 10% ? (A) Rs 5,000 (B) Rs 4,950 (C) Rs 4,900 (D) Rs 4,850 [3] 9. In the following mesh of rectangles, the number in any rectangle is the sum of the numbers in the two rectangles below it. The numbers A, C and D are respectively. Rough Work (A) 183, 37 and 22 (B) 193, 37 and 22 (C) 193, 47 and 22 (D) 193, 37 and 32 10. In the playground, a student walks for 60 metres along a straight path and then turns left and goes straight for 50 metres. From there, he again turns left and goes straight for 20 metres and then again turns left and walks 80 metres. From this position, he turns right and goes straight for 40 meters. How far away is he from the starting position ? (A) 20 metres (B) 30 metres (C) 40 metres (D) 50 metres 11. Read the following statements about five friends A, B, C, D and E and answer the question that follows : (i) E is lighter than A but heavier than D (ii) C is heavier than D as well as E (iii) B is heavier than E but lighter than C Arrange the friends in increasing weights (A) D, B, E, C, A (B) D, B, C, E, A (C) E, D, B, C, A (D) D, E, B, C, A 12. Tick-mark () the incorrect relation from the following. (A) 100 dag = 105cg (B) 12,600 seconds = 3.5 hours (C) 1 cubic metre = 106 cubic centimetres (D) 10 kilogram = 106 milligrams [4] 13. Find the minimum area of the paper required to make the following figure : Rough Work (The figure is drawn to the scale) (A) 18 cm2 (B) 19 cm2 (C) 20 cm2 (D) 22 cm2 14. Find the smallest number which when multiplied by 7 gives another number consisting of all sixes. (A) 95,238 (B) 85,238 (C) 94,238 (D) 96,328 15. In the following addition sum, K, L and M are digits: 6 K 7 + 8 L 5 + 3 M 9 = 1 7 8 1 Find the maximum possible value of L. (A) 9 (B) 8 (C) 7 (D) 6 16. With which one of the following ‘measures of angles’ or ‘measures of sides’, a triangle cannot be constructed ? (A) 37°, 59°, 84° (B) 3.7 cm, 5.9 cm, 8.4 cm (C) 3.7 cm, 5.7 cm, 8.7 cm (D) 3.7 cm, 4.9 cm, 8.6 cm [5] 17. How many different numbers are written in the following crossword ? The numbers are written either along horizontal line or along vertical line. One continuous number should be counted as one number. Rough Work (A) 17 (B) 16 (C) 15 (D) 14 18. Which one of the following relations is not correct, when the position of digits are exchanged ? (A) 12 × 84 = 21 × 48 (B) 23 × 96 = 32 × 69 (C) 13 × 86 = 31 × 68 (D) 14 × 82 = 41 × 28 19. You are given the following 8 numbers and no number is to be repeated for addition in the problem : 1, 5, 9, 14, 23, 35, 48, 54 How many numbers can be added to get a sum of 80 ? (A) 3 (B) 4 (C) 5 (D) 6 [6] 20. What percentage of the total area is shaded black ? (A) 40 % (B) 42 % (C) 44 % (D) 46 % 21. In the following sequence of letters, m n m m n n n m n m m n n m n m n m m n n m n m n how many ‘n’ are preceded and followed by m ? (A) 3 (B) 4 (C) 5 (D) 6 22. In the above problem, how many ‘m’ are preceded and followed by either n or m ? (A) 6 (B) 5 (C) 4 (D) 3 23. Study the relation between the numbers inside and outside the jars, shown below : Rough Work Which one of the following numbers should replace the sign .?., so that the same relation holds good ? (A) 63 (B) 67 (C) 53 (D) 57 24. How many alphabets of English are not used in writing all the months of the year ? (A) 7 (B) 6 (C) 5 (D) 4 [7] 25. If the value of 3  1.732 , then find the value of Rough Work 147  192  75 (A) 38.104 (B) 34.640 (C) 25.980 (D) 51.960 26. Study the pattern of the following figure : Which one of the following figures should replace the missing part in the above figure to complete the pattern ? (A) (B) (C) (D) [8] 27. A cubical water tank of dimensions 1 m × 1 m × 1 m will contain water of (A) 10,000 litres (B) 10,00,000 litres (C) 1,000 litres (D) 100 litres 28. Study the changes in the pattern of the following figures : Rough Work Which one of the following figures should replace the sign .?. so that the same changes in pattern hold good ? (A) (B) (C) (D) 29. Which one of the following groups of numbers is different from the other three ? (A) 1, 9, 36, 49, 80 (B) 3, 23, 33, 53, 63 (C) 14, 24, 34, 44, 64 (D) 15, 25, 35, 45, 55 30. When a number is divided by 17, the quotient is 72 with remainder 6. What will be the remainder if the same number is divided by 13 ? (A) 6 (B) 3 (C) 8 (D) 9 31. A person sells a watch at a profit of 10%. If he had bought the watch at 10% less and sold it for Rs 10 less, he would he gained 20%. The cost price of the watch would be (A) Rs 400 (B) Rs 450 (C) Rs 500 (D) Rs 600 [9] 32. From a taxi stand, the following taxis are available for hire for long journey : (i) 16 seater taxi costing Rs 960 for 80 kilometers (ii) 12 seater taxi costing Rs 1050 for 100 kilometers (iii) 10 seater taxi costing Rs 600 for 75 kilometers (iv) 8 seater taxi costing Rs 850 for 125 kilometers Which one of the above taxis is costliest, per person per kilometers ? (A) 16 seater taxi (B) 12 seater taxi (C) 10 seater taxi (D) 8 seater taxi 33. Consider the following four trains, running non-stop between two important stations : (i) Train A, running at an average speed of 90 km per hour between 23 : 15 hours and 01 : 45 hours (ii) Train B, running at an average speed of 80 km per hour between 22 : 30 hours and 01 : 45 hours (iii) Train C, running at an average speed of 120 km per hour between 07 : 45 hours and 10 : 00 hours (iv) Train D, running at an average speed of 100 km per hour between 21 : 30 hours and 00 : 15 hours Which one of the above trains covers more than 260 km but less than 275 km between its non-stop run ? (A) Train A (B) Train B (C) Train C (D) Train D 34. In the above question, what is the average of the durations of non-stop runs of all the four trains ? (A) 2 hours, 41 minutes and 15 seconds (B) 2 hours, 40 minutes and 45 seconds (C) 2 hours, 40 minutes and 30 seconds (D) 2 hours, 41 minutes and 30 seconds Rough Work [10] Rough Work 35. 1.5625  0.64  218.7  0.0289 , on simplification, gives 0.027  0.324  4.624  6.25 (A) 5 (B) 4 (C) 2 (D) 1 36. In the following grid, numbers in each row and in each column are written in particular patterns. Four numbers in the grid are missing and are represented by K, L, M and N. Understand the patterns and find the values of K, L, M and N, respectively. (A) 25 24 38 30 (B) 25 26 38 30 (C) 25 24 36 30 (D) 25 24 38 32 37. What least number must be added to 9129 so that it becomes exactly divisible by 84 ? (A) 57 (B) 47 (C) 37 (D) 27 38. Which one of the following numbers would replace the sign .?. to satisfy the required relation of the numbers given in the mesh, shown below ? (A) 16 (B) 15 (C) 13 (D) 21 [11] 39. Find the number of possible squares in the following figure. Rough Work (A) 55 (B) 50 (C) 45 (D) 36 40. ‘A car is moving at a speed of 90 kilometres per hour. This speed is same as (A) 90 metres per second (B) 45 metres per second (C) 25 metres per second (D) 50 metres per second [12] ANSWERS CLASS V MATHS 1 D 2 A 3 C 4 B 5 C 6 C 7 D 8 B 9 B 10 B 11 D 12 D 13 B 14 A 15 D 16 D 17 B 18 C 19 A 20 B 21 C 22 B 23 B 24 C 25 B 26 B 27 C 28 D 29 C 30 C 31 C 32 B 33 C 34 A 35 A 36 A 37 D 38 C 39 A 40 C