Avatto > CTET > CTET Solved Paper > CTET September 2016 Paper2

CTET Solved Paper MCQ - CTET September 2016 Paper2

31 The sum of all possible values of a, for which the 4-digit number 547a is divisible by 3, is

The value of a should be decided in such a way that the sum of the digits is divided by 3 completely.
547a = 5+4+7+a = Number divisible by 3
=16+a (it should be divided by 3 completely)
=> a= 2, 5, 8
=2 + 5 + 8 (sum of values of a)
= 15

32 A common factor of x⁴ - 256, x³ - 4x² + 3x - 12 and x² - 7x + 12 is

x⁴- 256 =0

=> (x²)² - (4²)²= 0
=> (x² - 4²)(x² - 4²) = 0
=> (x - 4)(x + 4)(x²+ 4²) = 0.....(i)
Now, x³- 4x² + 3x -12 = 0
=> x² (x - 4) +3 (x - 4)=0
=> (x² + 3)(x - 4) = 0 .....(ii)
And, x² - 7x + 12=0
=> x² - 4x - 3x +12=0
=> x(x - 4) -3(x - 4)=0
=> (x - 3)(x - 4) =0 ......(iii)
In all the above eqs.(i), (ii) and (iii) (x-4) is the common factor

33

ctetpaper2

ctetpaper2

34 On dividing the polynomial 8x³ - 6x² + lOx + 3 by (4x + 1), the quotient is 2x² + k, where k is equal to

4x+1) 8x³ - 6x² +10x + 3 (2x² - 2x +3
8x³ + 2x^{2

- -}____________________________________________________
- 8x² + 10x +3
-8x² - 2x
+ +
_____________________________________________________
12x + 3
12x + 3
- -
______________________________________________________
0
Now, quotient is 2x²- 2x + 3 = 2x² + k (given)
=> k = -2x + 3
=> k + 3 - 2x

35 In the product of(9x² + 15 - x) and (-1 - x + x ² ), if A, Band G are the coefficients of x³ , x² and x respectively, then the value of (A + B - C) is

(9x² + 15 - x)(-1 - x + x²)
= -9x² - 9x³ + 9x⁴ -15 -15x + 15x² + x + x² - x³
= 9x⁴ - 10x³ + 7x² - 14x -15
A = -10, B= 7, C = -14
Now, A + B + C = -10 +7 + 14
= 11

Your Progress

0%

Start Practising!

You've answered 0 of 150 questions in this topic.

Practice Spotlight

Build momentum in CTET September 2016 Paper2

Start with a short question set, review every explanation, and revisit difficult questions before moving ahead.

Day 4 / 10

Global Spotlight

Build Your First Streak

Complete one short CTET September 2016 Paper2 session today, then return tomorrow. Consistency matters more than a long first session.

Day 8 / 10

Question Spotlight

Question:

लेखक ने शिक्षा के सन्दर्भ में किस बात को महत्व दिया है?

A. शिक्षा को
B. विवेक को
C. बाजार को
D. साधना को

Correct answer: A

Explanation:

लेखक ने शिक्षा के सन्दर्भ में दो रस्ते बताए हैं- एक रास्ता चकाचौंध का जबकि दूसरा साधना का मार्ग| दूसरा मार्ग हमें शान्ति, सन्तोष तथा विवेक दे सकता…

Click to view the complete question details

Day 4 / 10 Open this question

Community Insight

Based on 10 saved attempts

Most Attempted TopicUPTET December 2016
Most Challenging TopicUPTET December 2016
Average Accuracy100%

Featured Question

(Based on recent community answers)

Q. #4602New

लेखक ने शिक्षा के सन्दर्भ में किस बात को महत्व दिया है?

Try This Question →

This Week's Challenge

Complete 20 questions and set the community benchmark!

0 / 20 Start Challenge →

Why Practice with Avatto?

High Quality MCQsExam-focused questions with accurate answers

Detailed ExplanationsStep-by-step explanations to enhance learning

Latest Exam PatternBased on updated syllabus and pattern

Performance AnalyticsTrack performance and improve weak areas

100% Free PracticePractice unlimited questions for free

Forgot your password?

I agree with the Terms.