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Number properties - Practice questions. 1. Find the least possible number which can be divided by 32, 36, 40. 2. Find the number of numbers lying between 1 and 1000 which are divisible by each of 6, 7 and 15.
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1. Find the least possible number which can be divided by 32, 36, 40
2. Find the number of numbers lying between 1 and 1000 which are divisible by each of 6, 7 and 15.
3. What is the least possible number which when divided by 24, 32 or 42 in each case it leaves the remainder 5?
4. The least possible number of 3 digits when successively divided by 2,5,4,3 gives respective remainders of 1,1,3,1 is • 372 • 275 • 273 • 193
5. A number when divided successively by 6, 7, 8, it leaves the respective remainders of 3, 5 and 4, what will be the last remainder when such a least possible number is divided successively by 8, 7, 6?
6. Find the smallest positive number which is exactly divisible by 1/3, 1/2, 3/7, 4/11.
15. Number of zeros at the end of the following expression: (5!)5! + (10!)10! + (50!)50! + (100!)100!
18. Find the last digit of the expression: 12 + 22 + 32 + 42 +…….+1002.
20. Find the unit digit of the expression: 888888! + 222222! + 333333! + 777777!.
21. The last digit of the following expression is: (1!)1 + (2!)2 + (3!)3 + ……+ (10!)10.
22. What is the remainder of 1421 * 1423 * 1425 when divided by 12 ?
23. Find the reminder when 1! + 2! + 3! + . . . . .. . .. 99! + 100! is divided by the product of first 7 natural numbers
27. The average heights of three poles x,y,z is 45 cms. If average height of x and y is 40 cm and that of y and z is 43 cm, can you find the height of the second pole y.
28. Find the average of first 10 odd numbers starting from 3.
30. A boy scores an aggregate of 70% marks, scoring an average of 63% in 4 of the papers and 77% in the other papers. How many papers were there totally
31. A batsman makes a score of 87 runs in the 17th innings and thus increases his average by 3. Find his average after 17 innings.
32. 6 persons standing in queue are with different ages. After two years their average age will be 43. A seventh person joined with them and hence the current average age has become 45. Find the age of seventh person.
34. The average weight of two groups is 44 and 77. If a student of weight 66 from second group is shifted to the first, then which of the following is true • Average weight of first group decreases and second group decreases • Average weight of first group decreases and second group increases • Average weight of first group increases and second group decreases • Average weight of first group increases and second group increases