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Algebra Level 2 Test 7

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Question 1
Each member of the picnic party contributed twice as many rupees as the total number of the members and the total collection was Rs. 3402. How many members are there in that party?
A
20
B
30
C
38
D
39
Question 1 Explanation: 
It is a very simple question
Give that each member of the picnic party contributed
twice as many rupees
So let number of members of picnic party = p
Contributed money twice i.e. = 2p
Given that the collection = Rs. 3402
2p2 = 3402
P2 = 1521
p = 39
Therefore, the total number of members in the party is 39
Question 2
If a + b + c = 0 then what will be the value of {a2/(a2 – bc)} + {b2/(b2 – ac)} + {c2/(c2 – ba)}
A
2
B
4
C
1
D
0
Question 2 Explanation: 
a + b + c = 0
so if we have three values suppose -1 ,-2, 3 respectively for a, b, c
then by putting all values in the given expression we will get the answer as option number (a)
but note that the sum of a + b+ c should be equal to 0
In general we have the expression
{a2/(a2 – bc)} + {b2/(b2 – ac)} + {c2/(c2 – ba)}
If a + b + c = 0
Then a2 = (b +c )2 or a = (-b – c)
So from these equations you can also get the answer as option number (a) i.e. 2
Question 3
If (a – 8) = b then determine the value of  |a –b|- |b –a|
A
16
B
0
C
4
D
2
Question 3 Explanation: 
Simply put the value of b in the mode
We get |a – (a-8)| - |(a – 8) – a|
So we get
8 - |-8|
0
Hence option (b) is the right answer
Question 4
The least value of 3x + 3-x is
A
Greater than equal to  2
B
Less than 1
C
0
D
2/3
Question 4 Explanation: 
Let us check with the lowest value i.e 0
If  x = 0
Then the expression will become
30 + 3-0
= 1 +1 = 2
Question 5
If (a+1/a)2 = 3 , then what will be the value of a3 +1/a3 ?
A
27
B
0
C
343
D
81
Question 5 Explanation: 
(a+1/a)2 = 3
a3 +1/a3
= (a+1/a)3 – 3(a +1/a)
=  (a +1/a) [(a +1/a)2 – 3]
On solving we have answer option (b)
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