1 . 
Study the following table carefully and answer accordingly :
The following table shows the average marks of boys (B) and girls (G) of five schools M, N, P, Q and R. Full marks of each subject is 100. Number shows in Ist row of the table shows the number of students in the respective category.
What is the difference between the average marks of all the subjects of the girls of School N and that of school Q? 

Answer & Explanation
Answer : Option
A


Explanation : 

Avg marks of girl students in school, N = $70+ 80 + 60 + 62 + 58\over 5$ = $330 \over 5$ = 66
Avg marks of girl students in school, N = $68+ 82 + 40 + 50 + 50\over 5$ = $290 \over 5$ = 58
Reqd difference = 66  58 = 8 





2 . 
Study the following table carefully and answer accordingly :
The following table shows the average marks of boys (B) and girls (G) of five schools M, N, P, Q and R. Full marks of each subject is 100. Number shows in Ist row of the table shows the number of students in the respective category.
What is the difference between the total marks of the boys and that of girls of school Q? 

Answer & Explanation
Answer : Option
D


Explanation : 

Total marks of the boys from school Q
= 75[73 + 85 + 50 + 60 + 60]
= 75 $\times$ 328
Total marks of the girls from school Q
= 25(68 + 82 + 40 + 50 + 50)
= 25 $\times$ 290
Reqd. difference = 25(3 $\times$ 328  290)
= 25 $\times$ 694 = 17350 





3 . 
Study the following table carefully and answer accordingly :
The following table shows the average marks of boys (B) and girls (G) of five schools M, N, P, Q and R. Full marks of each subject is 100. Number shows in Ist row of the table shows the number of students in the respective category.
In which of the following subjects students from school R have scored the least total marks? 

Answer & Explanation
Answer : Option
C


Explanation : 







4 . 
Study the following table carefully and answer accordingly :
The following table shows the average marks of boys (B) and girls (G) of five schools M, N, P, Q and R. Full marks of each subject is 100. Number shows in Ist row of the table shows the number of students in the respective category.
What is the difference between the total percentage marks of Computer and Economicstaken together for school P and that for school Q? 

Answer & Explanation
Answer : Option
C


Explanation : 

Total marks obtained by School P students in Computer and Economics
= (80 + 82) $\times$ 80 + (85 +85) $\times$ 20 = 16360
Percentage marks obtained by school P students in Computer and Economics
= $16360\over 20000$ $\times$ 100 = 81.8%
Total marks obtained by school Q students in Computer and Economics
= (73 + 85) $\times$ 75 + (68 + 82) $\times$ 25
= 11850 + 3750
= 15600
Percentage marks obtained by school Q students in Computer and Economics
= $15600\over 20000$ $\times$ 100 = 78%
Reqd. difference = 81.8  78 = 3.8% 





5 . 
Study the following table carefully and answer accordingly :
The following table shows the average marks of boys (B) and girls (G) of five schools M, N, P, Q and R. Full marks of each subject is 100. Number shows in Ist row of the table shows the number of students in the respective category.
Regarding Computer, when we compare the average marks of each school individually with the average marks of all the schools taken together, what is the ratio of the schools above average to those below average? 

Answer & Explanation
Answer : Option
A


Explanation : 

Average marks f rom school M in Computer
= $80\times 60 + 70 \times40\over 100$
= 76
Similarly, N = 81.4, P = 82.6, Q = 84.25, R = 78.52
Average of all schools taken together
= $76+ 81.4 + 82.6 + 84.25 + 78.52\over 5$$\cong$80.55
Reqd. ratio = 3 : 2 





6 . 
In the following questions two equations numbered I and II are given. You have to solve both the equations and, then Give answer
1. If p = q
2. If p> q
3. If q> p
4. If p $\geq$ q, and
5. If q $\geq$ p. I. 14$p^ 2$  5p  1 = 0
II. 2$q^ 2$ + 3q + 1 = 0 

Answer & Explanation
Answer : Option
B


Explanation : 

I. 14$p^ 2$  5p  1 = 0 or, 14$p^ 2$  7p + 2p  1 = 0 or, (7p + 1)(2p  1) = 0 or, p = 1/7 or 1/2
II. 2$q^ 2$ + 3q + 1 = 0 or, 2$q^ 2$ + 2q + q + 1 = 0 or, (q + 1)(2q + 1) = 0 or, q =  1 or  1/2
Hence, p > q 





7 . 
In the following questions two equations numbered I and II are given. You have to solve both the equations and, then Give answer
1. If p = q
2. If p> q
3. If q> p
4. If p $\geq$ q, and
5. If q $\geq$ p. I. 2p + q = 12
II. 3p + 5q  32 = 0 

Answer & Explanation
Answer : Option
A


Explanation : 

I. 2p + q = 12 or, 10p + 5q = 60
II. 3p = 5q = 32 Substracting II from I, we get 7p = 28 or, p = 4 Now, 2p + q = 12 or, q = 4
Hence, p = q 





8 . 
In the following questions two equations numbered I and II are given. You have to solve both the equations and, then Give answer
1. If p = q
2. If p> q
3. If q> p
4. If p $\geq$ q, and
5. If q $\geq$ p. I. 2$q^ 2$ + 45q  23 = 0
II.$ p^ 2$ + 48p + 575 = 0 

Answer & Explanation
Answer : Option
E


Explanation : 

I. 2$q^ 2$ + 45q  23 = 0 or, 2$q^ 2$ + 46q  q  23 = 0 or, (2q  1) (q + 23) = 0 or, q =  23 or 1/2
II. $p^ 2$ + 48p + 575 = 0 or, $p 2$^ + 23p + 25p + 575 = 0 or, (p + 23) (p + 25) = 0 or, p =  23 or  25
Hence, q $\geq$ p 





9 . 
In the following questions two equations numbered I and II are given. You have to solve both the equations and, then Give answer
1. If p = q
2. If p> q
3. If q> p
4. If p $\geq$ q, and
5. If q $\geq$ p. I. 4$q^ 2$  7q + 3 = 0
II. $p^ 2$  2p + 1 = 0 

Answer & Explanation
Answer : Option
D


Explanation : 







10 . 
In the following questions two equations numbered I and II are given. You have to solve both the equations and, then Give answer
1. If p = q
2. If p> q
3. If q> p
4. If p $\geq$ q, and
5. If q $\geq$ p. I. 225$p^ 2$ + 105p  44 = 0
II. 210$q^ 2$ + 319q + 121 = 0 

Answer & Explanation
Answer : Option
D


Explanation : 

I. 225$p^ 2$ + 105p  44 = 0
or, 225$p^ 2$ + 165p  60p  44 = 0
or, (15p + 11) (15p  4) = 0
or, p = $11^ 15$
or
$4^ 15$
II. 210$q^ 2$ + 319q + 121 = 0
or, 210$q^ 2$ + 165q + 154q + 121 = 0
or, (15q + 11) (14q + 11) = 0
or, q = $11^ 15$ or
$11^ 14$
Hence, p $\geq$ q 





