Mathematics-Class-7 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 the following mesh of rectangles, the number in any rectangle is the sum of the numbers in the two rectangles below it. The value of [ A + B + C ] is Rough Work (A) 339 (B) 349 (C) 329 (D) 359 2. If 80 and 80% of a number are equal to 140 and 40% of the same number, then the number is (A) 125 (B) 175 (C) 150 (D) 250 3. Presently, the mother is four times as old as her daughter. 5 years ago, the mother was 7 times as old as her daughter. After how many years, the daughter will be half as old as her mother ? (A) 30 years (B) 25 years (C) 20 years (D) 15 years 4. A can finish a work in 15 days, working 8 hours per day. B can finish the same work in 20 days, working 9 hours per day. In how many days A and B can finish the same work, working 8 hours per day ? (A) 8 days (B) 9 days (C) 10 days (D) 12 days [2] 5. In the following equation, L, M and N are digits : 7L8 + 8M6 + 6N9 = 2203 The maximum possible value of L would be (A) 6 (B) 7 (C) 8 (D) 9 6. Find the least number, which when divided by 5, 6, 8, 9 or 10, leaves remainder 2 in each case. But the same number is exactly divisible by 13. (A) 2652 (B) 2522 (C) 1802 (D) 1442 7. The product of two numbers is 29400 and their HCF is 35. How many pairs of such two numbers are possible ? (A) Only one (B) Two (C) Three (D) Four Rough Work 3 8. If the ratio of A : B is : 4 , B : C is 5 : 6 and C : D 4 5 is 3 : 4, then the ratio B : D is (A) 7 : 12 (B) 3 : 5 (C) 7 : 10 (D) 5 : 8 9. A B C is a triangle, shown below, in which A D  B C. The perimeter and the area of the triangle A B C are (A) 48 cm and 80 cm2 (B) 48 cm and 84 cm2 (C) 50 cm and 84 cm2 (D) 52 cm and 96 cm2 [3] 10. AOB is the diameter and O is the centre of a circle, as shown below. If CAB = 60° and in the triangle ABD, the sides AD and BD are equal then AEB is equal to Rough Work (A) 100° (B) 105° (C) 120° (D) 95° 11. Fill in single digits in each of the following squares such that the sum of these digits is equal to the number written either above or on the left side of the row of the squares. No digit is to be repeated along any line. In the duplicate figure on the right side, letters A, B and C have been written in some squares. The letters A, B and C are, respectively, (A) 8, 2 and 8 (B) 7, 2 and 8 (C) 7, 1 and 7 (D) 7, 1 and 8 12. If WORLD is coded as ZRUOG and LEARNING is coded as OHDUQLQJ, then ENGLISH in the same code can be written as (A) HQJNLVK (B) HQJOLUK (C) HQJOLVK (D) HQJOMVK [4] In the following three questions, replace the sign ..?.. from the alternatives A, B, C and D such that proper sequence is maintained Rough Work 13. ..?.. (A) (B) (C) (D) 14. ..?.. (A) (B) (C) (D) 15. ..?.. (A) (B) (C) (D) [5] In the following four questions, numbers outside and inside the container follow some relation. Replace the sign ..?.. with one of the four alternatives (given below each questions) so that the numbers follow the same relation. The relation is different in different question. 16. Rough Work (A) 4 (B) 6 (C) 7 (D) 8 17. (A) 5 (B) 6 (C) 8 (D) 10 18. (A) 10 (B) 12 (C) 16 (D) 18 19. (A) 20 (B) 18 (C) 16 (D) 14 20. Two trains start moving towards each other at uniform speed of 50 km/h and 60 km/h, respectively, from stations A and B. When these cross each other, one train has travelled 30 km more than the other. Distance between two stations A and B would be (A) 270 km (B) 300 km (C) 330 km (D) 360 km [6] 21. In which one of the following four cases, there is no proper sequence among the members of the group ? (A) AF K P, D I N S, E JO T, K PU Z, ..... (B) 31, 72, 123, 184, 255, ..... (C) Z Y, V U, R Q, N M, ..... (D) 545, 472, 399, 336, 253, ..... 22. Which one of the figures shown against (A), (B), (C) and (D) will complete the figure given below ? Rough Work (A) (B) (C) (D) 23. In a division sum, the quotient is a and the remainder is b. If the divisor is the sum of the quotient and the remainder, then the dividend would be (A) (a+b)2 + b(a–b–1) (B) (a+b)2 + b(a–b+1) (C) (a+b)2 – b(a–b+1) (D) (a+b)2 – b(a+b–1) 24. A person gave a loan of Rs 6,000 to Mohan for 2 years at a certain rate of simple interest. He also gave a loan of Rs 12,000 to Mohan’s father for 3 years at the same rate of interest. If the person got total interest of Rs 3,600, find the rate of interest. (A) 9.0% (B) 10.5% (C) 7.5% (D) 6.0% [7] 25. Two cyclists M and N covered same distance, starting at the same time but cycling at the speeds of 18 km/h and 15 km/h, respectively. If N reached the same destination 45 min. late than M, find the distance travelled by cyclists. (A) 68.4 km (B) 67.5 km (C) 70.2 km (D) 64.8 km 26. A can finish a work in 12 days while B can finish the same work in 15 days. Initially A starts the work and continues for 3 days. After 3 days, B also joins him. In how many more days would A and B finish the remaining work ? (A) 51/3 days (B) 44/5 days (C) 5 days (D) 4.5 days 27. If 25 and 20% of the remaining are subtractive from a given number, the result is three-elevenths less than the number. The given number is (A) 275 (B) 325 (C) 225 (D) 375 28. Fill in single digits in each of the following squares such that the sum of these digits is equal to the number written either above or on the left side of the row of the squares. No digit is to be repeated along any line. In the duplicate figure on the right side, letters A, B and C have been written in some squares Rough Work The letters A, B and C are, respectively, (A) 7, 5 and 7 (B) 6, 5 and 7 (C) 6, 5 and 9 (D) 9, 5 and 7 [8] 29. The recurring decimal number 0.153846 can be expressed in rational form as Rough Work (A) 1 2 7 (B) 13 (C) 3 3 19 (D) 22 30. The sum of two numbers is 5287 and their HCF is 311. How many pairs of such two numbers are possible ? (A) 16 (B) 12 (C) 8 (D) 4 31. A rhombus may be considered to be made up of 4 equal r ight- angled triangles. I f area of a rhom bus is 24 cm 2 and length of one of its diagonals is 6 cm, then the perimeter of this rhombus is (A) 20 cm (B) 18 cm (C) 16 cm (D) 24 cm 32.A man takes 12 hours to walk a certain distance and ride back on tonga. Had he covered both ways of journey by walking, he would have spent 4 hours more. How long would it take him to cover both the ways of journey by riding tonga ? (A) 10 hours (B) 8 hours (C) 6 hours (D) 4 hours [9] 33.A sum of money earns Rs 1600 as interest after 21/2 years at the rate of 8% simple interest. How much will this money become after 31/2 years at 9% of simple interest ? (A) Rs 10,520 (B) 10,570 (C) 10,750 (D) 10,640 If + is written as α, – as γ, × as δ,  as λ, = as μ, > as β and < as θ, then in the following four questions which one of the four relations is not correct ? 34. (A) 12  42  21  24 (B) 253  11  62  49 (C) 270  18  238  17 Rough Work (D) 132  12  289  10 35. (A) 152  122  82  62 (B) 11400  60  15  12 (C) 75  15  55  25 (D) 1518  11  200  58 36. (A) 17  13  173  38 (B) 2394  7  19  18 (C) 35  12  34  13 (D) 93  13  39  31 37. (A) 15  23  13  25 (B) 132  92  122  102 (C) 10800  60  15  14 (D) 3774  17  4218  19 [10] 38. Different positions of a dice are given as under Rough Work Which number is opposite to the face having number 2 ? (A) 3 (B) 4 (C) 5 (D) 6 39. Which one of the following statements is not correct ? (A) The circumcentre of a triangle may lie inside a triangle, outside a triangle or on any one line of a triangle (B) The orthocentre of a triangle always lies inside the triangle (C) The orthocentre, the incentre and the circumcentre of an isosceles triangle are the same common point (D) The incentre of a triangle cannot lie outside the triangle 40. The sides of a rectangle are in the ratio 3 : 5. The breadth of this rectangle is increased by 10%. By what percent should the length be increased so that the area of the rectangle remains unchanged ? (A) 9 1 % 11 1 (B) 3 (C) 10.0 % (D) 7 1 % 2 [11] Rough Work [12] ANSWERS : CLASS VII MATHS 1 B 2 C 3 C 4 B 5 C 6 B 7 B 8 D 9 B 10 B 11 D 12 C 13 D 14 B 15 C 16 C 17 D 18 C 19 B 20 C 21 D 22 B 23 D 24 C 25 B 26 C 27 A 28 B 29 B 30 C 31 A 32 B 33 A 34 B 35 C 36 A 37 C 38 B 39 C 40 A