Practice Test (Sanskar 29 Aug)

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Sanskar

  1. The length and breadth of a rectangle are in the ratio 3:2. If its perimeter is 100 m, find its area.
  2. A square and a rectangle have equal areas. The side of the square is 21 cm and the breadth of the rectangle is 14 cm. Find the length of the rectangle.
  3. The difference between the perimeter of a square and a rectangle is 36 cm. If the rectangle has length 30 cm and breadth 18 cm, find the side of the square.
  1. A rectangular field is 50 m long and 40 m wide. A path 2 m wide is constructed inside along the edges. Find the area of the path.
  1. The area of a square field is equal to the area of a rectangular field of length 72 m and breadth 32 m. Find the perimeter of the square field.
  1. A rectangular field is 50 m long and 40 m wide. A path 2 m wide is constructed inside along the edges. Find the area of the path.
  1. A rectangular plot is 60 m long and 45 m wide. It has two roads crossing in the middle, each of width 3 m, parallel to its sides. Find the area occupied by the roads.
  2. A mixture of milk and water is in the ratio 7:3. If the mixture contains 30 litres of water, find the quantity of milk.
  1. A sum of ₹720 is divided among A, B, and C in the ratio 2:3:4. Find each share.
  1. The ratio of boys to girls in a school is 7:5. If there are 360 boys, how many girls are there?
  2. Two numbers are in the ratio 5:7. If their sum is 144, find the numbers.
  1. Find the smallest number which when divided by 21, 28, and 36 leaves a remainder of 15.
  2. A number when divided by 8, 10, and 12 leaves a remainder of 7 each time. Find the least such number.
  3. A man has some apples. If he arranges them in groups of 12, 18, or 24, he always has 8 left. Find the least number of apples he could have.
  1. The greatest number which divides 75 and 165 leaving remainders 3 and 9 respectively is?
  1. Find the greatest number that divides 245 and 490 leaving remainder 5 in each case.
  1. Two numbers have HCF = 8 and LCM = 240. If one number is 48, find the other.
  2. The product of two numbers is 4284 and their HCF is 18. Find their LCM.
  3. The HCF of two numbers is 21 and their LCM is 252. If one of the numbers is 84, find the other.
  4. The product of two numbers is 7560. If their LCM is 420, find their HCF.
  5. The LCM of two numbers is 315 and their product is 14175. Find their HCF.
  1. Find the greatest number which divides 320, 460, and 580 leaving the same remainder each time.
  2. Find the largest number which divides 210, 378, and 714 leaving the same remainder.
  3. The greatest number which divides 187, 319, and 391 leaving the same remainder is?
  4. Find the square root of 12321
  5. When a number is divided by 12, the quotient is 35 and the remainder is 7. Find the number.
  6. A number when divided by 45 leaves a remainder 18. If the quotient is 37, find the number.
  7. A number divided by 23 gives quotient 42 and remainder 11. Find the dividend.
  8. A basket of apples contains 427 apples. They are to be packed equally into cartons, each carton holding 18 apples. Find the number of cartons filled completely and the number of apples left.
  1. Find the square root of 20736
  2. Find the square root of 22201
  3. Find the square root of 30976
  4. Find the square root of 48841
  5. Divide 20576 by 32.
  6. Divide 45021 by 27.
  1. A farmer harvested 14,586 kg of wheat. He sold 9,752 kg. How much wheat is still left?
  2. A tank contains 4,800 liters of water. If the water is equally divided into 24 drums, how many liters will each drum contain?
  3. The population of a village is 24,856. If 13,472 are males, how many are females?
  4. A company manufactures 1,275 pens in one day. How many pens will it manufacture in 35 days?
  5. A man bought a car for ₹7,45,000 and sold it for ₹6,89,500. Find his loss.
  6. The price of a computer is ₹48,750. If a company buys 36 computers, what will be the total cost?
  7. A man withdrew 85,000 rupees from the bank. He spent 49,755 rupees. How much is left with him?
  8. A rope is 9,744 cm long. It is cut into pieces of 81 cm each. How many pieces are formed?
  9. A factory produced 2,48,500 toys in one year. Out of these, 1,87,250 were sold. How many toys are unsold?
  10. The cost of one cycle is ₹2,385. What will be the cost of 125 cycles?

Sanskar Answer 29 Aug Test:

  1. 600 m²
  2. 31.5 cm
  3. 33 cm or 15 cm
  4. 344 m²
  5. 192 m
  6. 344 m²
  7. 306 m²
  8. 70 litres
  9. ₹160, ₹240, ₹320
  10. 257 1/7 girls (≈257.14)
  11. 60 and 84
  12. 267
  13. 127
  14. 80
  15. 12
  16. 5
  17. 40
  18. 238
  19. 63
  20. 18
  21. 45
  22. 20
  23. 168
  24. 12
  25. 427
  26. 1683
  27. 977
  28. 23 cartons, 13 apples left
  29. 111
  30. 144
  31. 149
  32. 176
  33. 221
  34. 643
  35. 1667 remainder 12
  36. 4834 kg
  37. 200 litres
  38. 11,384
  39. 44,625 pens
  40. ₹55,500 loss
  41. ₹17,55,000
  42. ₹35,245
  43. 120 pieces, 24 cm left
  44. 61,250 toys

₹2,98,125

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