Aptitude - Square Root and Cube Root
Overview Exercise "Time and tide wait for none."
- Alexander Pope
6.
If a = 0.1039, then the value of 4a 2 - 4a + 1 + 3a is:
Answer: A
Explanation:
4a 2 - 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
7.
If x =
3 + 1and y =
3 - 1, then the value of (x 2 + y 2 ) is:
3 - 13 + 1
Answer: E
Explanation:
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
x 2 + y 2 = (2 + 3 )2 + (2 - 3 )2
= 2(4 + 3)
= 14
8.
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:
Answer: B
Explanation:
Money collected = (59.29 x 100) paise = 5929 paise.
5929 = 77.
9.
The square root of (7 + 35 ) (7 - 35 ) is
Answer: D
Explanation:
(7 + 35 )(7 - 35 )
=
(7)2 - (35 )2
= 49 - 45 = 4 = 2.
10.
If 5 = 2.236, then the value of
5 -
10
+ 125 is equal to:
2
5
Answer: B
Explanation:
5 -
10
+ 125
=
(5 )2 - 20 + 25 x 55
2
5 25
x2 + y2 = (2 +