Solve These Questions

By /

Sanskar

  1. Find the least number which when divided by 7, 15, and 20 leaves remainders 3, 11, and 16 respectively.
  2.  Find the least number which when divided by 8, 9, and 12 leaves remainder 5 each time.
  3.   When 356, 644, and 1000 are divided by a number, they leave the same remainder. Find the     greatest such number.
  4.    Find the least number which when divided by 11, 22, and 33 leaves remainders 6, 17, and 28.
  5.       Three numbers 918, 1224, and 1836 leave the same remainder when divided by a certain number. Find the greatest such number.
  6.        When a number divides 437 and 697, the remainders are 7 and 9 respectively. Find the number.
  7.         Find the least number which when divided by 16, 18, and 24 leaves remainders 5, 7, and 13.
  8.          Find the least number which when divided by 25, 30, and 40 leaves remainder 20 in each case.
  9.           When 1001, 1365, and 1755 are divided by a number, the remainders are the same. Find the greatest such number.
  10.           A number leaves remainders 10 and 12 when dividing 370 and 460 respectively. Find the number.
  11. A square field has perimeter 256 m. Find its side and the cost of fencing it at ₹120 per metre.
  12. A rectangular garden is 75 m long and 60 m wide. A path of width 2 m runs around the outside of the garden. Find the outer perimeter of the path.
  1. A rectangular plot is twice as long as it is wide. If the perimeter is 144 m, find its length and breadth.
  2. A parallelogram has adjacent sides 18 cm and 25 cm. Find its perimeter.
  3. A rhombus has diagonals 24 cm and 32 cm. Find its perimeter (hint: use Pythagoras theorem to get side).
  1. A rectangular plot is 75 m long and 60 m wide. Find its area and the cost of carpeting it at ₹85 per m².
  2. The side of a square field is 54 m. Find its area and the cost of fencing it if fencing costs ₹120 per metre.
  3. A rectangular hall is 48 m long and 36 m wide. Find its area and the cost of tiling the floor at ₹150 per m².
  4. A square playground has side 125 m. Find its area and the cost of covering it with grass at ₹50 per m².
  5. A rectangle has length 3 times its breadth. If its perimeter is 200 m, find its area.
  6. The length of a rectangle is 8 m more than its breadth. If its area is 240 m², find its length and breadth.
  7. A square has an area of 6400 m². Find its side and perimeter.
  8. The floor of a rectangular hall measures 25 m × 18 m. It is to be covered with square tiles of side 50 cm. How many tiles are required?
  9. A rectangular park is 60 m long and 45 m wide. A path 2.5 m wide runs inside along its boundary. Find the area of the path.
  10. A rectangular field is 100 m × 80 m. A square lawn of side 60 m is cut from the middle. Find the area of the remaining field.
  12. Find the square root of 20449.
  13. Find the square root of 83521.
  14. Find the square root of 213444.
  15. Find the square root of 371293.
  16. A baker used 2/3 kg of flour in the morning and 3/4 kg in the evening. If he had 3 kg of flour initially, how much flour is left?
  17. A rope 7/8 m long is cut into two pieces. One piece is 5/12 m. What fraction of the rope is the remaining piece?
  18. A gardener planted 5/6 of a field with wheat. Later, he planted 1/4 of the wheat area with vegetables. What fraction of the total field is now vegetables?
  19. A tank contains 9/10 litres of juice. 2/5 litre is taken out. How much juice remains in the tank?
  20. A ribbon 7/12 m long is cut into 1/6 m pieces. How many pieces can be cut and how much ribbon is left?
  21. A cake weighing 5/6 kg is divided equally among 1/9 kg portions. After distributing, 1/3 kg of cake was eaten. How much cake is left?
  22. A rectangular garden is 3/4 m wide and 2/3 m long. Find its area in m².
  23. A milkman has 11/12 litre of milk. He distributes 1/8 litre to each of his 6 customers. How much milk remains?
  24. A person spent 3/5 of his money on food and 1/4 of his remaining money on books. What fraction of his total money did he spend on books?
  25. A juice container holds 7/8 litre. Each child drinks 3/16 litre. How many children can drink from the container completely?
  26. Two numbers have an HCF of 12 and LCM of 180. If one number is 36, find the other number.
  27. The product of two numbers is 486 and their HCF is 9. Find their LCM.
  28. Two numbers are such that their LCM is 150 and HCF is 5. One number is 25. Find the other number.
  29. The HCF of two numbers is 8 and their LCM is 96. If one number is 32, find the other number.
  30. Two numbers have an HCF of 4 and their product is 576. Find their LCM.
  1. 345.678 + 987.456 + 125.789
  2. 12.375 + 0.987 + 145.625
  3. 0.0045 + 0.0567 + 7.8912
  4. 1456.78 + 2345.67 + 3456.89
  5. 25.3675 + 48.9756 + 12.6544
  1. 987.654 – 456.789 – 123.456
  2. 1000.25 – 789.654 – 12.375
  3. 75.987 – 25.876 – 12.345
  4. 500.505 – 345.678 – 98.765
  5. 63.7485 – 12.3456 – 5.6789
  1. 48.6 ÷ 1.2
  2. 125.4 ÷ 2.5
  3. 72.5 ÷ 0.25
  4. 89.4 ÷ 7
  1. 12.45 × 3.6
  2. 0.75 × 4.25
  3. 18.9 × 7.05

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