Mathematics-Class-6 DPP Talent Search Examinations

Rough Work 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 The letters A, B and C are, respectively, (A) 2, 3 and 9 (B) 2, 3 and 7 (C) 1, 3 and 9 (D) 1, 2 and 9 2. If 1369  37 , then find the sum of the expression 1369  13.69  0.1369  0.001369 (A) 40.107 (B) 41.017 (C) 41.1007 (D) 41.107 3. What value should be added to 3 1  4 4 so that the total 2 5 sum becomes equal to 10 ? (A) 1 7 10 (B) 2 3 10 (C) 13 5 (D) 2 1 10 [2] Rough Work 4. In the following mesh of rectangles, the number in any rectangle is the sum of the numbers in the two rectangles below it. In one mesh on the right, some numbers have been replaced by alphabets. The value of (D + E + F) is equal to (A) 237 (B) 227 (C) 235 (D) 225 5. In the above problem, the value of [(A + B + C) – (D + E + F)] is equal to (A) 377 (B) 397 (C) 387 (D) 375 6. Which one of the following statements is not correct ? (A) There is only one even prime number (B) Zero, though a whole number, is not a natural number (C) The sum of two prime numbers may be either a prime number or a composite number (D) Zero is not a rational number 7. Find the greatest number of 5 digits such that when this number is divided by 5, 6, 7, 8, 9 or 10, the remainders in each case are respectively 3, 4, 5, 6, 7 and 8. (A) 98378 (B) 98288 (C) 98278 (D) 98388 [3] Rough Work In the following three questions, numbers in the cells of each square follow some rule. Find the number, which when replaced by the symbol ..?.., maintains the same rule. 8. (A) 4 (B) 6 (C) 7 (D) 8 9. (A) 5 (B) 6 (C) 8 (D) 10 10. (A) 20 (B) 22 (C) 24 (D) 26 11. The product of two numbers is 9450 and their HCF is 15. How many pairs of such numbers are possible ? (A) 2 (B) 3 (C) 4 (D) 6 [4] 12. Which one of the following four alternative figures will complete the main figure shown along side ? Rough Work (A) (B) (C) (D) 13. Which same digit should be written in all the empty boxes of the following grid so that the five-digit number so formed becomes divisible by 9 as well as 11 ? (A) 2 (B) 5 (C) 6 (D) 8 14. Monthly incomes of Mohan and Sohan are in the ratio 3 : 2 and their monthly expenditures are in the ratio 5 : 3. If each saves Rs. 6000 per month then the difference in their incomes is (A) Rs. 12,000 (B) Rs. 10,000 (C) Rs. 8,000 (D) Rs. 6,000 [5] Rough Work 15. In a lecture room, there are 120 articles of furniture, 40% of these are stools and on each stool only one student can sit. Two-thirds of remaining are smaller benches and on each smaller bench only two students can sit. The remaining are larger benches and on each larger bench only three students can sit. STOOL SMALLER BENCH LARGER BENCH How many students can be accommodated in this lecture room ? (A) 216 (B) 296 (C) 236 (D) 196 16. Which one of the following four sets of numbers are not in proportion ? (A) 31.5, 42, 4.5, 6 (B) 63, 40.5, 42, 27 (C) 33, 48.4, 45, 64 (D) 21, 24.5, 78, 91 17. Workers of group A get a rest of 25 minutes before a continuous work of 4 hours. Workers of group B get a rest of 30 minutes after a continuous work of 5 hours. Find the percentage of time by which one group gets less time of rest with respect to the other group. (A) Group B gets 41/6 % less time of rest with respect to group A (B) Group B gets 4% less time of rest with respect to group A (C) Group A gets 4% less time of rest with respect to group B (D) Group A gets 41/6 % less time of rest with respect to group B [6] Rough Work 18. 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 f i gure on the r i ght si de, l etters A, B and C have been written in some squares The letters A, B and C are, respectively, (A) 5, 2 and 8 (B) 5, 1 and 8 (C) 2, 1 and 7 (D) 5, 1 and 7 19. On dividing a number successively by 9, 11 and 13, the remainders are respectively 8, 6 and 4. Find the least possible number 20. By which number of three digits should 3549 be multiplied such that the first three digits on the right of the product are 454 ? Write the product also. (A) 756, 3092454 (B) 846, 3092454 (C) 746, 3002454 (D) 846, 3002454 [7] Rough Work In the following four questions, write the missing numbers (or alphabets) such that all the numbers (or alphabets) follow the regular pattern 21. 2, 5, ...., ...., ...., 37, 50 (A) 11, 20, 28 (B) 10, 18, 27 (C) 10, 17, 26 (D) 10, 17, 27 22. 3, 6, ...., ...., ...., 48 (A) 12, 24, 36 (B) 12, 24, 33 (C) 12, 21, 36 (D) 12, 21, 33 23. ZA, WD, TG, QJ, .... (A) OM (B) ML (C) NM (D) MN 24. B, DE, HIJ, NOPQ, .... (A) UVWXY (B) VWYXZ (C) WXYZA (D) VWXYZ 25. All the given balls are numbered as 1, 2, 3 and so on. If ball 1 is dropped in container I, ball 2 in container II, ball 3 in container III, ball 4 in container IV, ball 5 in container V, ball 6 in container IV, ball 7 in container III, ball 8 in container II, ball 9 in container I, ball 10 in container II and so on, then ball numbered 500 will be dropped in which container ? (A) Container II (B) Container III (C) Container IV (D) Container V [8] Rough Work 26. Letter M has been rotated in a regular pattern. Which of the following shapes of M should replace the sign ..?. (A) (B) (C) (D) 27. In the expression 5 3  3 3  P 5  4 Q7 , the letters 64 32 8 64 P and Q stand for which digits ? (A) P = 2, Q = 2 (B) P = 2, Q = 3 (C) P = 1, Q = 2 (D) P = 1, Q = 3 28. In 40 litres of solution, the ratio of acid and solution is 3 : 5. What amount of water should be added to this solution so that water becomes seven-elevenths of this solution ? (A) 24 litres (B) 22 litres (C) 28 litres (D) 26 litres 29. Four friends Vinay, Ajay, Sujata and Sujay started business as partners. The net profit was to be shared according to their investments. The investment of Vinay and Ajay was in the ratio 15 : 16, that of Ajay and Sujata was in the ratio 5 : 6, and that of Sujata and Sujay was in the ratio 3 : 4. Find the ratio of net profit of Ajay and Sujata (A) 2 : 5 (B) 3 : 7 (C) 5 : 8 (D) 7 : 10 [9] Rough Work [10] Rough Work 35. Find the area of the following figure. (A) 27.00 cm2 (B) 29.25 cm2 (C) 19.50 cm2 (D) 31.50 cm2 36. In the 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) a2 + ab + b2 (B) a2 + b2 + b (C) a2 + ab + b (D) a2 + ab + a 37. In the following equation, P, Q and R are digits : 7P8 + 8Q6 + 6R9 = 2183 Find the maximum possible value of P (A) 5 (B) 6 (C) 7 (D) 8 38. The magnitude of area of a square is 5 times the magnitude of its perimeter. Half the perimeter of this square is (A) 20 cm (B) 30 cm (C) 40 cm (D) 60 cm 39. In a mixture of syrup and water, syrup and water are in ratio 8 : 3. When 7 litres of water is added to this mixture, the ratio of syrup and water becomes 3 : 2. The volume of the syrup in the fresh solution is (A) 16 litres (B) 28 litres (C) 20 litres (D) 24 litres [11] 40.The value of 1  2  3  4  5  6  7  8  9 (A) 0 (B) 1 (C) –2 (D) –1 would be Rough Work [12] ANSWERS : CLASS VI MATHS 1 C 2 D 3 A 4 B 5 C 6 D 7 C 8 C 9 D 10 B 11 C 12 B 13 B 14 A 15 A 16 C 17 B 18 D 19 B 20 D 21 C 22 D 23 C 24 D 25 C 26 C 27 B 28 D 29 C 30 A 31 C 32 B 33 D 34 B 35 B 36 C 37 B 38 C 39 D 40 B

Comments

Post a Comment

Popular posts from this blog

PHYSICS-15-10- 11th (PQRS) SOLUTION

XI (PQRS) PHYSICS REVIEW TEST-5 Select the correct alternative. (Only one is correct) [15 × 3 = 45] There is NEGATIVE marking. 1 mark will be deducted for each wrong answer. Q.31 Two trains, which are moving along different tracks in opposite directions towards each other, are put on the same track due to a mistake. Their drivers, on noticing the mistake, start slowing down the trains when the trains are 300 m apart. Graphs given below show their velocities as function of time as the trains slow down. The separation between the trains when both have stopped, is: (A) 120 m (B) 280 m (C) 60 m (D*) 20 m 1 [Sol: x1 = 2 1 × 10 × 40 = 200 m; x2 = – 2 × 8 × 20 = –80 m  xreletive = x1 + x2 = 280  separation = 300 – 280 = 20 m (D) ] Q.32 One end of a thin uniform rod of length L and mass M is riveted to the centre of a uniform circular disc of radius r and mass 2 M so that the rod is normal to the disc. The centre of mass of the combination from the centre of the disc is at dist
Read more

8-Circular Motion

8.1 (D) The maximum angular speed of the hoop corresponds to the situation when the bead is just about to slide upwards. The free body diagram of the bead is For the bead not to slide upwards. m2 (r sin 45°) cos 45° – mg sin 45° < N (1) where N = mg cos 45° + m2 (r sin 45º) sin 45° (2) From 1 and 2 we get.  = rad / s. 8.2 (C) Let v be the speed of particle at B, just when it is about to loose contact. From application of Newton's second law to the particle normal to the spherical surface. mv2 = mg sin  (1) r Applying conservation of energy as the block moves from A to B.. 1 mv2 = mg (r cos  – r sin ) (2) 2 Solving 1 and 2 we get 3 sin  = 2 cos  8.3 (A) As the mass is at the verge of slipping ∴ mg sin37 –  mg cos37 = m2r 6 – 8 = 4.5   = 3 16 8.4 (B) As when they collide vt  1  72v 2  2 2  25R   R = vt  t =   5R 6v Now angle covered by A =   vt R 11 Put t  angle covered by A = 6 8.5 (C) The acceleration vector s
Read more

4. THEORY-Current Electrictricity

CURRENT ELECTRICITY  1 . ELECTRIC CURRENT (a) Time rate of flow of charge through a cross sectional area is called Current. if q charge flows in time interval t then average current is given by q Iav = t and Instantaneous current i =. lim q  dq t0 t dt (b) Direction of current is along the direction of flow of positive charge or opposite to the direction of flow of negative charge. But the current is a scalar quantity. i i q+ velocity q– velocity SI unit of current is ampere and 1 Ampere = 1 coloumb/sec 1 coloumb/sec = 1A 2 . CONDUCTOR In some materials, the outer electrons of each atom or molecule are only weakly bound to it. These electrons are almost free to move throughout the body of the material and are called free electrons. They are also known as conduction electrons. When such a material is placed in an electric field, the free electrons drift in a direction opposite to the field. Such materials are called conductors. 3 . INSULATOR Another class o
Read more