Number System-Aptitude





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1. If a and b are two whole numbers, then a-b = c will be a whole number if


2. Multiplicative identity of whole number 'a' is


3. If number 'b' is a factor of a number 'a', then 'a' divided by 'b' gives the remainder


4. If 'a' and 'b' are two rational numbers, then number of rational number between them are


5. If 'a' and 'b' are two rational numbers, then \( \left( \frac{a}{b}\right)^{-n} \) is equal to


6. If sum of integers from 101 to 200, inclusive is subtracted from the sum of integers from 201 to 300 inclusive, then the result is


7. Which of the following is equal to \(  \Large 3^4.3^3 \)?


8. If \( \Large x^{-2/3} \) = \( \Large \frac{1}{4} \) and x is a positive whole number, then the value of 2x is


9. No square of a number ends with


10. The students of a class donated Rs.2401 Each student donated as many rupees as the number of students in the class, then the number of students in the class is


11. Three numbers are in the ration 1:2:3. If the sum of their cubes is 98784, then the numbers are


12. Exponential form of \(\left( \sqrt{\sqrt{a} \times \sqrt{b} } \right)^2 \) is


13. The value of \( \sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}} \) is


14. If \(\Large 2^{2x - 5} = \frac{1}{8} \), then the value of x is


15. Value of \( \Large \sqrt[3]{343} \times \sqrt[3]{-125} \) is


16. Rationalising factor of \( a^2 + ab + b^2 \) is


17. 297144 is divisible by


18. 1265 is divisible by


19. What is the least value assigned to # so that the number 63576#2 is divisible by 8?


20. What is the remainder when \( \Large x^{40} + 2 \) is divided by \( \Large x^{4} + 1 \)?