Mathematics-Class-8 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. 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) 8, 9 and 6 (B) 8, 7 and 5 (C) 8, 7 and 6 (D) 9, 7 and 6 2. For what numerical values of A, B and C, the following relation will be true ? 17 A B 6  2 6 9 C 2 2 5 6 5 (A) 4, 3, 4 (B) 3, 5, 4 (C) 5, 3, 4 (D) 5, 4, 4 3. How many natural numbers have perfect squares which lie between 380 and 1080 ? (A) 12 (B) 13 (C) 14 (D) 15 4. In order to increase the sale of jumbo refrigerators of marked price Rs 50,000, a shopkeeper announces successive discounts of 10%, 5% and 4%. He also offers alternative discount of 10% plus a free small microwave. Find the selling price of the microwave (A) Rs 3,960 (B) Rs 4,560 (C) Rs 4,960 (D) Rs 4,260 [2] 5. Match the statements of Columns-I and II and tick-mark () the correct alternative. Column-I Column-II (a) Rhombus (i) Adjacent angles are supplementary (b) Trapezium (ii) Diagonals are equal (c) Rectangle (iii) Perimeter can be found even when (d) Square one side is given (e) Parallelogram (iv) Area can be found even when one side is given (v) Area is the product of average of its two sides and perpendicular distance between these sides (A) (a) - v, (b) - i, (c) - ii, (d) - iii, (e) - iv (B) (a) - iii, (b) - v, (c) - ii, (d) - i, (e) - iv (C) (a) - iii, (b) - i, (c) - ii, (d) - iv, (e) - v (D) (a) - iii, (b) - v, (c) - ii, (d) - iv, (e) - i 6. Distance of any vertex from the centre of a hexagon is 4 cm. The area of this hexagon would be (A) 24 2 cm2 (B) 24 3 cm2 (C) 36 3 cm2 (D) 32 3 cm2 7. In the following product of a number by 7, find the numerical values of A, B and C, respectively. Rough Work (A) 5, 7, 2 (B) 5, 8, 3 (C) 5, 5, 3 (D) 5, 6, 3 8. The surface area and the volume of a sphere have equal magnitudes. The diameter of such sphere is (A) 3 units (B) 4 units (C) 6 units (D) 8 units [3] 9. 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. (A) 17 (B) 16 (C) 15 (D) 14 10. Two dice are rolled. What is the probability that the sum of the numbers is a multiple of 3 ? (A) 1/3 (B) 1/4 (C) 1/6 (D) 11/36 11. Two shopkeepers A and B sell the product of the same company, having same marked price. During festival season, shopkeeper A announces successive discounts of 30%, 20% and 10%; while shopkeeper B announces successive discounts of 40%, 10% and 10%. Which shopkeeper gives more discount to the customer ? (A) Shopkeeper A gives more discount (B) Shopkeeper B gives more discount (C) Both the shopkeepers give the same discount (D) It is difficult to find the difference in discounts Rough Work [4] 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 ? 12. (A) 36  21  63  12 (B) 288  18  48  32 (C) 855  19  595  17 (D) 2184  7  162  142 13. (A) 288  12  132  122 (B) 1562  11  200  58 (C) 126  345  37  13 (D) 12  15  10800  60 14. (A) 112  122  172  34 (B) 2 132  12  32  12 (C) 43  68  34  86 (D) 4043  13  4815  15 15. (A) 75  15  55  25 (B) 21  15  142  163 (C) 54  31  253  11 (D) 87  124  17  13 16. Which one of the following statement is not correct ? (A) Whole number zero has no reciprocal (B) Whole number zero is also a rational number (C) The orthocentre of a triangle always lies inside it (D) A square can also be called a polygon, a rhombus, a rectangle or a parallelogram Rough Work [5] 17. Which one of the following is not a Pythagorean triplet ? (A) 9, 40, 41 (B) 24, 70, 74 (C) 20, 48, 56 (D) 11, 60, 61 18. A hollow cube can be cut into different ways and can be spread in a plane in the following different shapes. Which one of the following shapes is not cut from the same hollow cube ? Rough Work (A) (B) (C) (D) 19. Which value of x will satisfy the following equation ? 2x  4  5x  3  6x  2  x 1 5 8 10 3 (A) 12 (B) 15 (C) 7 (D) 8 20. To construct a unique quadrilateral, five specific parts of the quadrilateral should be known. Which one of the following sets of five specific parts of the quadrilateral would not be sufficient to construct a unique quadrilateral ? (A) Values of four sides and one angle are given (B) Values of four angles and one side are given (C) Values of three angles and two included sides are given (D) Values of four sides and one diagonal are given [6] In the following three questions, numbers outside and inside the containers 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. 21. Rough Work (A) 26 (B) 44 (C) 36 (D) 40 22. (A) 14 (B) 10 (C) 12 (D) 16 23. (A) 8 (B) 12 (C) 13 (D) 18 24. A train, full with passengers, started from station A. At the next station B, one third of the passengers got down and 105 new passengers boarded. At the next station C, one third of the remaining passengers got down and 80 new passengers boarded. At the still next station D, Half of the remaining passengers got down and 60 new passengers boarded. At the last station E, the number of the passengers leaving the train were found to be 215. With how many passengers did the train leave the station A ? (A) 300 (B) 360 (C) 375 (D) 450 [7] 25. 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) 5, 6 and 7 (B) 5, 7 and 7 (C) 6, 5 and 7 (D) 5, 6 and 8 26. 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 27. Which one of the following groups of numbers is different from the other three ? (A) 1, 9, 25, 49, 81 (B) 3, 9, 21, 39, 63 (C) 14, 24, 34, 44, 64 (D) 15, 25, 35, 45, 55 28.  x8 1  x 1  x4 1  x2  1  x 1 is also equal to (A) x2 – 1 (B) (x + 1)2 (C) x2 + 1 (D) (x – 1)2 [8] 29. A shopkeeper allows two successive discounts of x% and 10%. If the total discount is 28%, the value of x is (A) 162/3 (B) 18 (C) 20 (D) 222/9 30. Match the statements of Columns-I and II and tick-mark () the correct alternative. Column-I Column-II (a) Sides make equilateral (i) Rhombus triangles with the centre (ii) Square of the polygon (iii) Regular pentagon (b) Each angle of the polygon (iv)Regular octagon is 135° (v) Regular hexagon (c) Half the product of its diagonals gives the area of the polygon (d) Diagonals from all the vertices of the polygon enclose a polygon of the same number of sides of the polygon itself (e) Four times the square-root of the area of the polygon gives perimeter of the polygon (A) (a) - iii, (b) - iv, (c) - i, (d) - v, (e) - ii (B) (a) - v, (b) - iv, (c) - i, (d) - iii, (e) - ii (C) (a) - v, (b) - iv, (c) - ii, (d) - iii, (e) - i (D) (a) - iv, (b) - iii, (c) - i, (d) - v, (e) - ii Rough Work 31.  y  x2 x2  y2  y  x 2  x  y can be simplified to (A) x – y (B) y – x (C) x + y (D) none of these [9] 32. Difference of sums of first twenty natural numbers and first forty natural numbers is (A) 1220 (B) 1240 (C) 1420 (D) 1440 33. A bank employee adjusts his monthly salary of Rs 27,000 as under : Rough Work In the pie chart, the angles a°, b°, c°, d° and e° are, respectively [10] 34. Find the number of zeroes on the right side of the product of the following expression. 48 × 25 × 35 × 45 × 64 × 625 (A) 6 zeroes (B) 7 zeroes (C) 8 zeroes (D) 9 zeroes 35. The area of an equilateral triangle is 64 3 cm2. The perimeter of this triangle is (A) 24 2 cm (B) 24 3 cm (C) 48 cm (D) 36 cm 36. Find the numerical values of A, B and C, respectively, in the following product Rough Work (A) 5, 9, 3 (B) 5, 7, 3 (C) 4, 6, 2 (D) 6, 4, 2 37. When x4 + 12x3 + 41x2 + 18x – 72 is divided by x – 1, the remainder is zero. The quotient obtained is (A) x3 + 13x2 + 54x – 72 (B) x3 + 13x2 + 54x + 72 (C) x3 – 13x2 + 54x – 72 (D) x3 – 13x2 – 54x + 72 38. A circular cylinder and a sphere have equal radius and equal volume. The ratio of height of cylinder and its radius would be (A)  : 3 (B) 4 : 3 (C) 4 :  (D) 3 : 2 [11] 39. Near a railway crossing, in a wedding procession two powerful crackers are exploded with an interval of 8 minutes. The driver in the train, approaching the railway crossing, heard the sound of the second cracker 7 minutes and 30 seconds after hearing the sound of the first cracker. If the speed was 360 ms–1, then the speed of the train was (A) 24.0 m/s (B) 25.0 m/s (C) 20.0 m/s (D) 22.5 m/s 40. A and B together finish a work in 6 days. B and C together can finish the same work in 8 days. If A, B and C together can finish the same work in 4 days, then in how many days can B finish the same work ? (A) 12 days (B) 16 days (C) 18 days (D) 24 days Rough Work [12] ANSWERS : CLASS VIII MATHS 1 C 2 C 3 B 4 A 5 D 6 B 7 B 8 C 9 B 10 A 11 B 12 C 13 C 14 D 15 A 16 C 17 C 18 D 19 C 20 B 21 C 22 D 23 B 24 B 25 A 26 B 27 C 28 B 29 C 30 B 31 C 32 A 33 D 34 C 35 C 36 C 37 B 38 B 39 A 40 D