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Quantitative Aptitude

SQUARE ROOT AND CUBE ROOT MCQs

Square Roots, Cube Roots, Squares And Square Roots

Total Questions : 547 | Page 43 of 55 pages
Question 421.


If x =
3 + 1
and y =
3 - 1
, then the value of (x2 + y2) is:
3 - 1
3 + 1

  1.    10
  2.    13
  3.    14
  4.    15
 Discuss Question
Answer: Option C. -> 14


x =
(3 + 1)
x
(3 + 1)
=
(3 + 1)2
=
3 + 1 + 23
= 2 + 3.
(3 - 1)
(3 + 1)
(3 - 1)
2



y =
(3 - 1)
x
(3 - 1)
=
(3 - 1)2
=
3 + 1 - 23
= 2 - 3.
(3 + 1)
(3 - 1)
(3 - 1)
2


If X = 3 + 1and Y = 3 - 1, Then The Value Of (x2 + Y2) Is:3... x2 + y2 = (2 + 3)2 + (2 - 3)2


   = 2(4 + 3)


   = 14

Question 422.


A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

  1.    57
  2.    67
  3.    77
  4.    87
 Discuss Question
Answer: Option C. -> 77

Money collected = (59.29 x 100) paise = 5929 paise.


A Group Of Students Decided To Collect As Many Paise From Ea... Number of members = 5929 = 77.


Question 423.


The square root of (7 + 35) (7 - 35) is

  1.    5
  2.    2
  3.    4
  4.    35
 Discuss Question
Answer: Option B. -> 2

(7 + 35)(7 - 35)
=
(7)2 - (35)2
 = 49 - 45  = 4  = 2.
Question 424.


If a = 0.1039, then the value of 4a2 - 4a + 1 + 3a is:

  1.    0.1039
  2.    0.2078
  3.    1.1039
  4.    2.1039
 Discuss Question
Answer: Option C. -> 1.1039

4a2 - 4a + 1 + 3a
= (1)2 + (2a)2 - 2 x 1 x 2a + 3a


   = (1 - 2a)2 + 3a


   = (1 - 2a) + 3a


   = (1 + a)


   = (1 + 0.1039)


   = 1.1039

Question 425.


If 5 = 2.236, then the value of
5
-
10
+ 125 is equal to:
2
5

  1.    5.59
  2.    7.826
  3.    8.944
  4.    10.062
 Discuss Question
Answer: Option B. -> 7.826


5
-
10
+ 125
=
(5)2 - 20 + 25 x 55
2
5
25



=
5 - 20 + 50
25



=
35
x
5
25
5



=
355
10



=
7 x 2.236
2



= 7 x 1.118



= 7.826


Question 426.


0.0169 x ? = 1.3

  1.    10
  2.    100
  3.    1000
  4.    None of these
 Discuss Question
Answer: Option B. -> 100

Let 0.0169 x x = 1.3.


Then, 0.0169x = (1.3)2 = 1.69



0.0169 X ? = 1.3 x =
1.69
= 100
0.0169


Question 427.


3 -12simplifies To:3
3 -
1
3 -12simplifies To:3
2
simplifies to:
3

  1.     3 4
  2.     4 3
  3.     4 3
  4.    None of these
 Discuss Question
Answer: Option C. -> 4 3


3 -12simplifies To:3
3 -
1
3 -12simplifies To:3
2
= (3)2 +
3 -12simplifies To:3
1
3 -12simplifies To:3
2
- 2 x 3 x
1
3
3
3



= 3 +
1
- 2
3



= 1 +
1
3



=
4
3


Question 428.


The square root of 64009 is:

  1.    253
  2.    347
  3.    363
  4.    803
 Discuss Question
Answer: Option A. -> 253

2|64009( 253
|4
|----------
45|240
|225
|----------
503| 1509
| 1509
|----------
| X
|----------

The Square Root Of 64009 Is: 64009 = 253.


Question 429.


How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?

  1.    1
  2.    2
  3.    3
  4.    None of these
 Discuss Question
Answer: Option D. -> None of these

A number ending in 8 can never be a perfect square.
Question 430. The least perfect square, which is divisible by each of 21, 36 and 66 is:
  1.    213444
  2.    214344
  3.    214434
  4.    231444
 Discuss Question
Answer: Option A. -> 213444
L.C.M. of 21, 36, 66 = 2772.
Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number
= 22 x 32 x 72 x 112
= 213444

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