All Exams > UPPSC (UP) > 6 Months Preparation Course for UPPSC > MCQ Questions
Square Roots and Cube Roots MCQs for UPPSC (UP) Exam
It covers all Important Questions with answers on Square Roots and Cube Roots for the UPPSC (UP) exam. The questions are based on important topics. Details about the questions:- Topic: Square Roots and Cube Roots
- Type of Questions: MCQs with solutions
- Number of Questions: 50
- You can attempt them on EduRev to score high in UPPSC (UP) exam.
36 x K is a perfect cube number, then K = ______a)6b)5c)4d)3Correct answer is option 'A'. Can you explain this answer?
 | Kavya Saxena answered |
6×6=36 and 36×6=216, which is the cube of 6.
Which of the following is a perfect square number?- a)222222
- b)23453
- c)1681
- d)1057
Correct answer is option 'C'. Can you explain this answer?
Which of the following is a perfect square number?
a)
222222
b)
23453
c)
1681
d)
1057
 | Shashwat Singh answered |
The answer is 1681 because it is the only number which has it's last digit as a number which a perfect square can have . 9×9=81 the last digit is 1.
Find the perfect square number between 30 and 40.- a)36
- b)49
- c)25
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Find the perfect square number between 30 and 40.
a)
36
b)
49
c)
25
d)
none of these
 | Amita Verma answered |
Since, 1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
Thus, 36 is a perfact square number between 30 and 40.
Which of the following would end with digit 1?- a)1232
- b)1612
- c)772
- d)822
Correct answer is 'B'. Can you explain this answer?
Which of the following would end with digit 1?
a)
1232
b)
1612
c)
772
d)
822
 | Sneha Singh answered |
Option B is correct because the unit digit of 161 is 1 and if unit digit of any digit ends with 1 the its square will also end with 1.
Without adding, find the sum. 1 + 3 + 5 + 7 + 9- a)16
- b)36
- c)9
- d)25
Correct answer is option 'D'. Can you explain this answer?
Without adding, find the sum. 1 + 3 + 5 + 7 + 9
a)
16
b)
36
c)
9
d)
25
 | Lakesway Classes answered |
Here, we have to find the sum of first five odd natural numbers.
Therefore, 1 + 3 + 5 + 7 + 9 = (5)2 = 25
Ones place digit in the cube of 5832 is ______.- a)5
- b)7
- c)2
- d)8
Correct answer is option 'D'. Can you explain this answer?
Ones place digit in the cube of 5832 is ______.
a)
5
b)
7
c)
2
d)
8
 | Shiksha Academy answered |
A number ending with 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 0 then it's cube ends with 1 , 8 , 7 , 4 , 5 , 6 , 3 , 2 , 0 respectively
⇒ One's digit of 5832= 2
⇒ Cube of 2=23 = 8
⇒ Cube of 2=23 = 8
So, the one's digit of cube of 5832=8
is :
A natural number is said to be a perfect cube, if it is the cube of some ________.- a)cube number
- b)square numbers
- c)natural number
- d)none of these
Correct answer is 'C'. Can you explain this answer?
A natural number is said to be a perfect cube, if it is the cube of some ________.
a)
cube number
b)
square numbers
c)
natural number
d)
none of these
| | Kavya Saxena answered |
A natural number is said to be a perfect cube if it is the cube of some natural number.
Example
8 = 2 x 2 x 2
8 = 2 3
8 is the perfect cube because it is a cube of 2 which is a natural number.
But 12 is not a perfect cube because it is not a cube of any natural numbers.
Example
8 = 2 x 2 x 2
8 = 2 3
8 is the perfect cube because it is a cube of 2 which is a natural number.
But 12 is not a perfect cube because it is not a cube of any natural numbers.
- a)21
- b)14
- c)12
- d)16
Correct answer is option 'D'. Can you explain this answer?
a)
21
b)
14
c)
12
d)
16
| | Krishna Iyer answered |
= [√248+√64]
= √248+8
= √256
= 16
= √248+8
= √256
= 16
is:
What is smallest number with which 5400 may be multiplied so that the product is perfect cube? - a) 5
- b) 3
- c) 4
- d) 6
Correct answer is option 'A'. Can you explain this answer?
What is smallest number with which 5400 may be multiplied so that the product is perfect cube?
a)
5
b)
3
c)
4
d)
6
 | Devanshi Ahuja answered |
Find prime factors of 5400
5400=2×3×3×3×2×2×5×5
If we group them in the group of 3
5400=(2×2×2)×(3×3×3)×5×5
Here to make group of 3 for 5
We have to multiply 5400 by 5.
What is the cube of double of ‘a’?- a)16a3
- b)2a
- c)8a3
- d)4a2
Correct answer is option 'C'. Can you explain this answer?
What is the cube of double of ‘a’?
a)
16a3
b)
2a
c)
8a3
d)
4a2
 | Vivek Rana answered |
Double of a here a+a=2a
So cube of (2a)³=8a³
- a)1
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
a)
1
b)
c)
d)
 | Wizius Careers answered |
Cube root of (512)/125
= 8/5
Convert it into mixed fraction, we get
= 1 3/5
= 8/5
Convert it into mixed fraction, we get
= 1 3/5
Chapter doubts & questions for Square Roots and Cube Roots - 6 Months Preparation Course for UPPSC 2026 is part of UPPSC (UP) exam preparation. The chapters have been prepared according to the UPPSC (UP) exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for UPPSC (UP) 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
Chapter doubts & questions of Square Roots and Cube Roots - 6 Months Preparation Course for UPPSC in English & Hindi are available as part of UPPSC (UP) exam. Download more important topics, notes, lectures and mock test series for UPPSC (UP) Exam by signing up for free.
6 Months Preparation Course for UPPSC774 videos|2782 docs|928 tests |
