InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
There is certain number of rows of chairs in a room .The number of chairs in each row is thrice the total number of rows. Find the number of charis in each row and number of rows in the room if the total number of chairs is 2187 |
| Answer» Correct Answer - 81,27 | |
| 2. |
In a five digit number 1b6a3 a is the greatest single digit perfect cube and twice of it exceeds b by 7 .Then the sum of the number and it cube root is__________ |
| Answer» Correct Answer - 19710 | |
| 3. |
When 616 is divided by a certain positive number which is `66(2)/(23)%` of the quotient it leaven 16 as the remainder .Find the divisorA. 20B. 30C. 24D. 15 |
| Answer» Correct Answer - a | |
| 4. |
When twice a non zero positive numbr is divided by its cube root the quotient is obtained as 32 .If the cube of the number is divided by the number itself then the quotient is ___________A. n/aB. n/aC. n/aD. n/a |
| Answer» Correct Answer - `4^(6)` | |
| 5. |
Find the smallest number which must be subtracted from the following to make them perfect cubes .What are the corresponding cube roots?A. 350B. 833C. 1400D. 1730 |
| Answer» Correct Answer - (a) 7(b)104 (c )69 (d)104 | |
| 6. |
The units digit of the square of a number and the units digits of the cube of the number are equal to the units digits of the number .How many values are possibles for the units digits of such number?A. 2B. 4C. 5D. 3 |
| Answer» Correct Answer - b | |
| 7. |
The smallest number by which 81 should be divided to make it a perfect cube is ___________ |
| Answer» Correct Answer - 3 | |
| 8. |
The units digit of the square of a number and the units digits of the cube of the number are equal to the units digits of the number .How many values are possibles for the units digits of such number?A. 2B. 3C. 4D. 5 |
| Answer» Correct Answer - c | |
| 9. |
Number of digits in the cube of a two digit number may be ____________ |
| Answer» Correct Answer - 4 or 5 or 6 | |
| 10. |
What is the digit in the units place of the cube of 31? |
| Answer» Correct Answer - 1 | |
| 11. |
Find the cube roots of the following by finding the digits in the units and tens placesA. 110592B. 32768C. 2744D. n/a |
| Answer» Correct Answer - (a)48 (b)32 (c )14 | |
| 12. |
The cube root of `27/8` is _________ |
| Answer» Correct Answer - `3/2` | |
| 13. |
cube root of a perfect even cube is ___________and the perfect odd cube is ______________ |
| Answer» Correct Answer - even ,odd | |
| 14. |
If `7^(2)=49` nad `0.7^(2)=0.49` then `0.07^(2)`=_________ |
| Answer» Correct Answer - 4.9E-5 | |
| 15. |
The cube root of 125 is __________ |
| Answer» Correct Answer - 5 | |
| 16. |
Find the cube roots of the following numbers bysuccessive subtraction of numbers: 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331,397,64(ii) 512(iii) 1728A. 125B. 343C. 2197D. n/a |
| Answer» Correct Answer - (a)5 (b)7 (c )13 13 | |
| 17. |
`3sqrt(a^(6)xxb^(9))`=_______________ |
| Answer» Correct Answer - `a^(2)b^(3)` | |
| 18. |
216 is the cube of ____________ |
| Answer» Correct Answer - 6 | |
| 19. |
`3sqrt(0.125)+3sqrt(0.729)`=________________ |
| Answer» Correct Answer - 1.4 | |
| 20. |
If x is a non zero number then `x xx x xx x` written as__________ is called the ___________of x |
| Answer» Correct Answer - `x^(3)`cube | |
| 21. |
If n leaves a remainder 1 when divided by 2 then `n^(3)` leaves a remainder of _____________when divided by 2A. 1B. 2C. 0D. 3 |
| Answer» Correct Answer - a | |
| 22. |
The number of zeroes at the end of the square of a number is _______ the number of zeroes at the end of the number |
| Answer» Correct Answer - twice | |
| 23. |
Find the square root of the following by the method of repeated substractionA. 196B. 144C. 121D. 81 |
| Answer» Correct Answer - (a) 14 (b)12 (c )11 (d)9 | |
| 24. |
Find the value of `3sqrt(288)xx3sqrt(432)xx3sqrt(648)` |
| Answer» Correct Answer - 432 | |
| 25. |
If `(x^(y))^z =2^(8)`then find the maximum possible value of (x)(y)(z) where x,y,z`gt`0A. 16B. 12C. 256D. 24 |
| Answer» Correct Answer - c | |
| 26. |
The square root of a 4 digit or a 3 digit (perfect squre ) number is a __________digit number |
| Answer» Correct Answer - two | |
| 27. |
`3sqrt(3.43/10)`=_____________ |
| Answer» Correct Answer - 0.7 | |
| 28. |
Find the square of the following number using the identify `(a+b)=a^(2)+2ab+b^(2)`A. 208B. 512C. 635D. n/a |
| Answer» Correct Answer - (a)4326 (b)262144 (c )403255 | |
| 29. |
If `3sqrt(3sqrt(x-(1)/(3sqrt(x))=2 , then 3sqrt(x)+((1)/(3sqrt(x)))`=___________ |
| Answer» Correct Answer - `pm(10)/(3)` | |
| 30. |
`sqrt(-m^(6))`=________________ |
| Answer» Correct Answer - `-m^(2)` | |
| 31. |
If the area of a square is 81 `cm^(2)` then the measure of its side is ___________ |
| Answer» Correct Answer - s=9cm | |
| 32. |
If the units digit of a number is 2 then it does not have a square root .Is the given statement true? |
| Answer» Correct Answer - yes | |
| 33. |
Find the squares of the following number using the column method .Verify your resutl by finding th square using the usual methodA. 26B. 33C. 45D. 84 |
| Answer» Correct Answer - (a)679 (b)1089 (c )2025 (d)7056 (e )9404 | |
| 34. |
Mark true (T) or false (f) for the following statementsA. if n a multiple of 2 then `n^(3)` is also multiple of 2B. if n is not a multiple of 2 then `n^(3)`is also not a multiple of 2C. If n ends in 3 then `n^(3)` ends in 7D. A perfect cube can end with even numbr of zeroes |
| Answer» Correct Answer - (a) T (b) T (c )T (d)f (e )T | |
| 35. |
If the units digit of a perfect square is 5 then the units digit of its square root is _________ |
| Answer» Correct Answer - 5 | |
| 36. |
The square of a prime number is always prime is the give statement ture? |
| Answer» Correct Answer - no | |
| 37. |
If p and q are perfect squares then `sqrt(p)/(q)` is always a rational number .Is the statement true?A. yesB. noC. cannot be determinedD. none of these |
| Answer» Correct Answer - a | |
| 38. |
The square of an odd number is always odd .Is the given statement true? |
| Answer» Correct Answer - yes | |
| 39. |
Find the cube roots ofA. `-343`B. `-4913`C. `10648`D. n/a |
| Answer» Correct Answer - (a)-7 (b)-17 (c )-22 | |
| 40. |
The square root of a prime number can be obtained approximately but not exactly .Is the given statement true? |
| Answer» Correct Answer - yes | |
| 41. |
The square of a proper fraction is always __________ than itself |
| Answer» Correct Answer - less | |
| 42. |
Find the square roots of the following using division methodA. 390625B. 4489C. 3249D. 529 |
| Answer» Correct Answer - (a)625 (b)67 (c )57 (d)23 | |
| 43. |
Find the cube roots of the following using prime factorisation methodA. 5832B. 19683C. 9261D. 405224 |
| Answer» Correct Answer - (a)18 (b)27 (c )21 (d)74 | |
| 44. |
When a number is multipled by itself the product is said to be _____ of the number |
| Answer» Correct Answer - square | |
| 45. |
The cubes of the digits 1,4,5,6 and 9 are the number ending in the same digits 1,4,5,6 and 9 respecitively (True/False). |
| Answer» Correct Answer - 1 | |
| 46. |
Find the cubes of the following using alternative methodA. 52B. 24C. 46D. 72 |
| Answer» Correct Answer - (a)140608 (b)13824 (c )97336 (d)35937 | |
| 47. |
Show that the following are not perfect cubesA. 54B. 648C. 2058D. 72 |
| Answer» Correct Answer - none of them is a perfect cube | |
| 48. |
A number n is a perfect cube only if there is an integer m such that n=__________ |
| Answer» Correct Answer - `m^(3)` | |
| 49. |
If m is a cube root of n we write m =______________ |
| Answer» Correct Answer - `3sqrt(n)` | |
| 50. |
The cube root of (-125) is ______________ |
| Answer» Correct Answer - `-5` | |