Home   »   Maths (Algebra) Questions for CTET Exam...

Maths (Algebra) Questions for CTET Exam 2017

Maths (Algebra) Questions for CTET Exam 2017_30.1
Maths (Algebra) Questions for CTET Exam 2017_40.1

Q3. If x^2+y^2+1=2x, then the value of x^6+y^3 is
(a) -3
(b) 3
(c) 1
(d) 2
Q4. If (5a+7b)/(5a-7b)=7, then b: a is equal to: 
(a) 15: 28
(b) 28: 15 
(c) 23: 10
(d) 10: 28
Q5. If x+(2/x)=3 then the value of x^3-x^2-4x+4 is 
(a) 0
(b) 2
(c) 3
(d) 5
Q6. If x/(x^2-2x+1)=1/3, then the value of x^6+(1/x^6) is: 
(a) 12189
(b) 12098
(c) 12568
(d) 12658
Maths (Algebra) Questions for CTET Exam 2017_50.1

Q8. If x+(1/x)=2, find the value of x^4+(1/x^4) .
(a) 8
(b) 4
(c) 2
(d) 3
Q9. If a^2+b^2+c^2=ab+bc+ca, where a, b, c are non zero real numbers, then the value of (3a+b)/c is 
(a) 3
(b) 2 
(c) 0
(d) 4
Maths (Algebra) Questions for CTET Exam 2017_60.1
Solutions
Maths (Algebra) Questions for CTET Exam 2017_70.1
S4. Ans.(a)
Sol.
(5a+7b)/(5a-7b)=7/1 
By using Componendo and Dividendo,
(5a+7b+5a-7b)/(5a+7b-5a+7b)=(7+1)/(7-1) 
⇒(10a/14b)=(8/6)⇒b/a=15/28 
⇒ 15: 28 = b:a 
Maths (Algebra) Questions for CTET Exam 2017_80.1
Maths (Algebra) Questions for CTET Exam 2017_90.1

Maths (Algebra) Questions for CTET Exam 2017_100.1



S9. Ans.(d)

Sol.
If a^2+b^2+c^2=ab+bc+ca 
Then we can say 
a=b=c 
Required answer 
(3a+b)/c 
=(3a+a)/a 
=4a/a 
=4 
Maths (Algebra) Questions for CTET Exam 2017_110.1