Square Root and Cube Root - General Questions

The square root of 64009 is:

A.	253
B.	347
C.	363
D.	803

Answer: Option A

Explanation:

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

√64009 = 253.

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

A.	1
B.	2
C.	3
D.	None of these

Answer: Option D

Explanation:

A number ending in 8 can never be a perfect square.

	√3 -	1		2	simplifies to:
		√3

A.	3/4
B.	4/√3
C.	4/3
D.	None of these

Answer: Option C

Explanation:

	√3 -	1		2	= (√3)² +		1		2	- 2 x √3 x	1
		√3					√3				√3

= 3 +	1	- 2
	3

= 1 +	1
	3

=	4
	3

√0.0169 x ? = 1.3

A.	10
B.	100
C.	1000
D.	None of these

Answer: Option B

Explanation:

Let √0.0169 x x = 1.3.

Then, 0.0169x = (1.3)² = 1.69

x =	1.69	= 100
	0.0169

11.

	√625	x	14	x	11		is equal to:
	11		√25		√196

A.	5
B.	6
C.	8
D.	11

Answer: Option A

Explanation:

Given Expression =	25	x	14	x	11	= 5.
	11		5		14

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

A.	5.59
B.	7.826
C.	8.944
D.	10.062

Answer: Option B

Explanation:

√5	-	10	+ √125	=	(√5)² - 20 + 2√5 x 5√5
2		√5			2√5

=	5 - 20 + 50
	2√5

=	35	x	√5
	2√5		√5

=	35√5
	10

=	7 x 2.236
	2

= 7 x 1.118

= 7.826

The square root of (7 + 3√5) (7 - 3√5) is

A.	√5
B.	2
C.	4
D.	3√5

Answer: Option B

Explanation:

√(7 + 3√5)(7 - 3√5)

√(7)² - (3√5)²

= √49 - 45 = √4 = 2.

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:

A.	57
B.	67
C.	77
D.	87

Answer: Option C

Explanation:

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

Number of members = √5929 = 77.

Square Root and Cube Root - General Questions

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