Number System, Latest, Predicted Question Bank for upcoming competitive exams

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2. In a triangle Δ XYZ,

if angle 4 ∠ X = 6 ∠ Y = 3 ∠ Z, then

(∠ X + ∠ Y ) — (∠ X — ∠ Y ) =?

3. Find the angle which is double of its supplement.

4. Find the sum of all the even number starting from 2 and ending up to the greatest number of three digits.

5. Find the sum of all the even number starting from 122 and ending up to the greatest number of three digits.

6. Find the sum of all the odd numbers starting from 1 and ending up to the greatest number of four digits.

7. Find the sum of all the odd numbers starting from 21 and ending up to the greatest number of four digits.

8. A number consists of three digits whose sum is 10. The middle digit is equal to the sum of the other two digits and the number will be increased by 99 if its digits are reversed. Find the number.

9. Srinivas was asked to state his age in years, his reply was “Take my age three years hence multiply it by 3 and then subtract three times my age three years ago and you will know how old I am”. Find his age at present.

10. Find the smallest number which can be multiplied with 13 to get the number entirely consisting of

i) 9”s ii) 8”s

11. In 1990, Srinivas ‘s age is equal to the last two-digits of the year of his birth. He was married at the age of 29. How many years has it been since he was a bachelor assuming that he is still married?

12. By which greatest integer the difference of the square of two consecutive even integers is divisible ?

13. By which greatest integer the difference of the square of two consecutive odd integers is divisible ?

14. When we multiply certain two-digit number by the sum of its digits, 485 is achieved. But when But when we multiply the number written in reverse order of the same digits by by the sum of its digits we get 405. Find the number.

15. The smallest number entirely consisting of 1”s, is divided by 7 , if there is no remainder then find the quotient.

16. The smallest number entirely consisting of 4”s, is divided by 18 , if there is no remainder then find the quotient.

17. What is the least value of x, so that the number 423453x2 is divisible by

i) 2 ii) 3 iii) 7 iv) 11

18. At a dinner party every three guests used a dish of rice between them every four guests used a dish of dal and every five guests used a dish of meat between them. If there were all together 470 dishes , then how many guests were present ?