Square Roots and Cube Roots - Aptitude Questions and Answers | Latest Online Square Roots and Cube Roots MCQ Aptitude Test

 May 06, 2022  Shivam S Aptitude Test

Square Roots and Cube Roots - Aptitude Questions and Answers | Online Square Roots and Cube Roots MCQ Aptitude Test

Quiz Name	Square Roots and Cube Roots
Category	Online Aptitude Test
Number of Questions	15
Time	30 Minutes
Exam Type	MCQ (Multiple Choice Questions)

1. ..000216 has the following cube root:
a. .6
b. .06
c. 77
d. 87

Answer: B

Explanation:
(.000216)1/3 = 21 to the power of three 6 to the tenth power 6 1/3,6 x 6 x 6/( 10)to the tenth power 1/3 of 2 x 3= 6/10 to the second power= 6/100=0.06 %

2. In the equation x = 162. 128 x, what should be substituted for both x?
a. 12
b. 14
c. 144
d. 196

Answer: A

Explanation:
Let's say x/root 128 Equals root162/x.Then x2 = 128 x 162 is the answer.= 64 x 2 x 18 x 9 = 64 x 2 x 18 x 9 = 64 x 2 x= 82 x 62 x 32 x 32 x 32 x 32 x 32 x 32 x= 8 x 6 x 3 = 8 x 6 x 3 = 8 x 6 equals 144.12 = x = 144.

3. The least perfect square divisible by each of the numbers 21, 36, and 66 is:
a. 213444
b. 214344
c. 214434
d. 231444

Answer: A

Explanation:
21, 36, 66 = 2772 L.C.M.2 × 2 x 3 x 3 x 7 x 11 = 2772.It must be multiplied by 7 x 11 to become a complete square.As a result, the necessary number is 22 x 32 x 72 x 112 = 213444.

4. what is the value of root1.5625?
a. 1.05
b. 1.25
c. 1.45
d. 1.55

Answer: B

Explanation:
245| 1225 | 1225 |———- | X |———- 1|1.5625( 1.25 |1 |———- 22| 56 | 44 |———- 245| 1225 | 1225 |———- | X |———- 1.5625 is the same as 1.25.

5. If 35 + 125 equals 17.88, what is the value of 80 + 65?
a. 13.41
b. 20.46
c. 21.66
d. 22.35

Answer: D

Explanation:
17.88 = 35 + 125=17.88 = 35 + 25 x 5=17.88 = 35 + 55=17.88 * 85 ==2.235 = 5=16 x 5 + 65 = 80 + 65=45 + 65 = 22.35 = 105 = (10 x 2.235).

6. If a = 0.1039, the value of 4a2 - 4a + 1 + 3a is as follows:
a. 0.1039
b. 0.2078
c. 1.1039
d. 2.1039

Answer: C

Explanation:
(1)2 + 4a2 - 4a + 1 + 3a = 4a2 - 4a + 1 + 3a = 4a2 - 4a + 1 + (2a)=2 + 2 x 1 x 2a + 3a = 2 - 2 x 1 x 2a + 3a = 2 - 2 x=2 + 3a = (1 - 2a)2=3a = (1 - 2a)=(1 + a) = 1 + 1 + 1 + 1 + 1 + 1 + 1= (0.1039) =1.1039.

7. If x = 3 + 1 and y = 3 - 1, then (x2 + y2) has the following value: 3 - 1 3 + 1
a. 10
b. 13
c. 14
d.15

Answer: C

Explanation:
x = root (3 + 1)/(3 + 1) x (3 + 1)/ (3 + 1)= (3 + 1) x (3 + 1)/ (3 + 1)= (3 + 1).3 + 1+ 23= 2 + 3 = 2/(3 + 1 )/2 = 3 + 1+ 23= 2 + 3.(3 - 1)/(3 + 1) y = (3 - 1)/(3 + 1) x (3 - 1)/(3 - 1) = (3 - 1)=3 + 1 - 23/2 = 2 - 3. 2/(3 - 1) = 3 + 1 - 23/2 = 2 - 3.=(2 + 3) = x2 + y2=2 + 2 (2 - 3)=2= 2(4 + 3) + 2(4 + 3) + 2(4 + 3).equals 14.

8. A group of students agreed to collect the same amount of paise from each member of the group as the number of students in the group. The number of members in the group is: If the entire collection is Rs. 59.29, the number of members in the group is:
a. 57
b. 67
c. 77
d. 87

Answer: C

Explanation:
5929 paise = (59.29 x 100) paise = 5929 paise.The total number of members is 5929, which equals 77.

9. 7 + 35 (7 - 35) has a square root of 9.
a. 5
b. 2
c. 4
d. 35

Answer: B

Explanation:
(35 + 7)= (7 - 35) (7)=2 – (35)=2 = 49 minus 45 = 4 = 2.

10. If 5 = 2.236, then the value of root 5 /2- 10/ root 5 + 125 is:
a. 5.59
b. 7.826
c. 8.944
d. 10.062

Answer: B

Explanation:
root 5/2 minus 10/5 + 125 Equals root (5)=2 root 5 = 2 - 20 + 25 x 55=root 5 = 5 - 20 + 50/2=root 5 x 5/root 5 = 35/2 root 5 x 5/ root 5= 355/10= 7 x 2.236/2 x 2.236/2 x 2.236/2 x=7.826 = 7 x 1.118.

11. 625/11 x 14/root 25 x 11/root 196 = ...
a. 5
b. 6
c. 8
d. 11

Answer: A

Explanation:
25 x 14 x 11 = 5 is the given expression.

12. 0.0169 x 1.3 = root 0.0169 x
a. 10
b. 100
c. 1000
d.None of these

Answer: B

Explanation:
Let 0.0169 x x = 1.3 be the answer.0.0169x = (1.3)2 = 1.69 is the result.100 0.0169 x = 1.69.

13. root 3 - 1 square / root 3reduces to:
a. 3/4
b. 4/ root 3
c. 4/3
d. None of these

Answer: C

Explanation:
1/3 square - root 3= (3),- 2 x 3 x 1/3 + 2 +1/root 3 x square=3 + 1/3 - 2 == 1/3 + 1= 4/3'

14. Count the number of two-digit numbers that meet this condition. The square of the two-digit number's final digit (unit's digit) is 8?
a. 1
b. 2
c. 3
d. None of these

Answer: D

Explanation:
There can never be a perfect square with a number ending in 8.

15. 64009 has a square root of:
a. 253
b. 347
c. 363
d. 803

Answer: A

Explanation:
64009 = 253. 2|64009( 253 |4 |————— 45|240 |225 |————— 503| 1509 | 1509 |————— | X |—————

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