Topic Name : Numbers - II

 1. If a3b = abc = 180 and a, b, c are positive integers, then the value of c is:

 110

 25

 15

 None of the above


 2. (1 - 1/3)(1 - 1/4)(1 - 1/5)...(1 - 1/n) is equal to:

 1/n

 2/n

 2/n(n+1)

 2(n-1)/n


 3. When simplified, the product (2 - 1/3)(2 - 3/5)(2 - 5/7)...(2 - 997/999) is equal to:

 5/999

 1001/999

 1001/3

 None of the above


 4. (256).18 x (256).07 is equal to:

 4

 6

 8

 64


 5. Given that (12 +22 + 32 + .... + 102) = 385, then the value of (22 +42 + 62 + .... + 202) is equal to:

 770

 1540

 1155

 (385) x (385)


 6. If (64)2 - (36)2 = 20z, the value of z is:

 70

 180

 120

 None of the above


 7. If x * y = (x +2)2 . (y-2), then the value of (7 * 5) is:

 175

 205

 213

 243


 8. If 2x-1 + 2x+1 = 320, then the value of x is:

 4

 5

 6

 7


 9. The sum of first 45 natural numbers is:

 2070

 1035

 1280

 2140


 10. (51 + 52 + 53 +... + 100) is equal to:

 2525

 2975

 3225

 3775


 11. The remainder obtained when 211 is divided by 5 is:

 2

 3

 4

 1


 12. What least value must be assigned to * so that 86325*6 is divisible by 11?

 1

 2

 3

 5


 13. Which of the following numbers is exactly divisible by 99?

 114345

 135792

 3572404

 913464


 14. If the number 42573* is completely divisible by 72, then which of the following numbers should replace * in the number?

 4

 5

 6

 7


 15. 5*2 is a three digit number with * as a missing digit. If the number is divisible by 6, the missing digit is:

 3

 6

 7

 2


 16. There is one number which is formed by writing one digit 6 times (e.g. 111111, 444444, etc.). Such number is always divisible by:

 7

 11

 13

 All of the above


 17. Which of the following numbers should be added to 11158 to make it exactly divisible by 77?

 9

 8

 7

 5


 18. The number nearest to 99547 which is exactly divisible by 687 is:

 100166

 98928

 99479

 99615


 19. What least number must be subtracted from 13294 so that the remainder is exactly divisible by 97?

 3

 5

 1

 4


 20. What largest number of five digits is divisible by 99?

 99999

 99981

 99909

 99990


 21. What smallest number of six digits is divisible by 111?

 111111

 110011

 100011

 None of the above


 22. When a certain number is multiplied by 13, the product consists entirely of fives. The smallest such number is:

 41625

 42515

 42735

 42135


 23. A four digit number divisible by 7 becomes divisible by 3, when 10 is added to it. The largest such number is:

 9987

 9989

 9996

 9947


 24. Which of the following numbers is exactly divisible by all prime numbers between 1 and 17?

 515513

 440440

 345345

 510510


 25. How many numbers between 200 and 600 are divisible by 4, 5 and 6?

 5

 6

 7

 8




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