MCQ QUADRATIC EQUATION

MCQ based on Quadratic Equation, polytechnic and other examination 

MCQ

1. If x⁴ - 3x + 5 is divided by 2x - 1, then remainder is

1. ³⁵⁄₁₆
2. ⁻³⁵⁄₁₆
3. −9
4. 3

C

2. Solution of a quadratic equation x²+ 5x - 6 = 0

1. x = -1, x = 6
2. x = 1, x = - 6
3. x = 1
4. x = 6

B

3. Two square roots of unity are

1. 1, -1
2. −1, ω
3. 1,-ω
4. ι, ι²

A

4. If a < 0, then function ƒ(x) = a x² + bx + c has

1. maximum value
2. minimum value
3. constant value
4. positive value

 A

5. If roots of x² - 5x + a = 0 are equal, then a =

1. 25/5
2. ±25/4
3. 25/4
4. None of Above

Some important question based on Quadratic Equation 

Quadratic equation are essential part of mathematics there is a lots of important question for polytechnic and other 10th based exam like jamia entrance ,NTSE  etc......

PDF for 50 best question are here:-

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MCQ BASED QUESTION ON REAL NUMBER FOR POLYTECHNIC AND OTHER EXAMINATION

                     BALAJI STUDY POINT

MCQ -QUESTION FOR MATHS ON REAL NUMBER FOR POLYTECHNIC

Q1: Which of the following has a non-terminating decimal expansion?

(a) 77/210
(b) 23/8
(c) 17/8
(d) 35/50

Q2: The decimal expansion of 141/120 will terminate after how many places of decimals ?

(a) 1
(b) 2
(c) 3
(d) will not terminate




Q3: HCF of  84 and 270 is 

(a) 8
(b) 6
(c) 4
(d) 2

Q4: If p, q are two consecutive natural numbers, then HCF(p, q) is:

(a) q
(b) p
(c) 1
(d) pq

Q5: If HCF if 60 and 168 is 12, what is the LCM

(a) 480
(b) 240
(c) 420
(d) 840

Q6(CBSE 2010): How many prime factors are there in prime factorisation of 5005 ?

(a) 2
(b) 4
(c) 6
(d) 7

Q7: A rational number can be expressed as a terminating decimal if the denominator has factors

(a) 2, 3 or 5
(b) 2 or 3
(c) 3 or 5
(d) 2 or 5

Q8: If p, q are two prime numbers, then LCM(p, q) is :

(a) 1
(b) p
(c) q
(d) pq

Q9: Let x = p/q be a rational number such that prime factorization of q is NOT in the form of 2ⁿ5^m, where m and n are non-negative integers. Then x has a decimal representation which is:

(a) terminating
(b) Non-terminating, repeating
(c) Non-terminating, non-repeating
(d) None of these


Q10: Euclid’s division lemma states that for any two positive integer ‘a’ and ‘b’ there exists unique integers q and r such that a=bq+r where r must satisfy:

(a) 1 ≤  r  < b
(b) 0 < r ≤  b
(c) 0 ≤ r < b
(d) 0 < r < b


Q11: Which of the following is not an irrational number ?

(a) 5 - √3
(b) 5 + √3
(c) 4 + √2
(d) 5 + √9


Q12: Which of the following numbers has terminating decimal expansion?

(a) 37/45
(b) 21/(2³5⁶)
(c) 17/49
(d) 89/(2²3²)

Q13: The mathematician who gave the term 'algorithm'?
(a) Euclid
(b) Gold Bach
(c) Khwarizmi
(d) Gauss


Q14: The decimal expansion of π
(a) is terminating.
(b) is non-terminating and repeating
(c) is non-terminating and non-repeating
(d) None of these



Answers:
1: (a) 77/210
[Hint: For a rational number in the form p/q, such that the prime factors of q are not of the form 2ⁿ5^m, where n and m are non negative integers. Then the rational number has a decimal expansion which is non terminating repeating (recurring).]

2:  (c) 3 [Hint: Rational form of number p/q, where q = 2³5²]

3:  (b) 6

4:  (c) 1

5: (d) 840 [Hint: LCM × HCF = Product of two numbers]

6: (b) 4  [Hint: 5005 = 5×7×11×13]

7: (d) 2 or 5

8: (d) pq

9: (b) Non-terminating, repeating

10:  (c) 0 ≤ r < b

11:(d) 5 + √9 [Hint: √9 = 3, 5 + √9 = 8, a rational number]

12: (b) 21/(2³5⁶) [Hint: for rational number x = p/q, if factors are in the form of 2ⁿ5^m, where n and m are non negative integers, the rational number has a decimal expansion of terminating type.]

13: (c) Khwarizmi

14: (c) is non-terminating and non-repeating

Some question  for checking your calculation

MCQ. Answer of 1⁄3 x 8² + 2² is

1. 7.1667
2. 6.1667
3. 4.1667
4. 5.1667

C

MCQ. Answer of 4² + 8² −3² ⁄ 7 − 9 is

1. (−19.5)
2. (−35.5)
3. (−25.5)
4. (−15.5)

B

MCQ. Answer of following rational number (2.5)² ⁄ (1 − 0.6) ² is

1. 39.06
2. 29.06
3. 15.06
4. 35.06

A

MCQ. In decimals, cubic root of 9 is

1. 6.7
2. 2.08
3. 3.08
4. 4.5

 B

MCQ. On solving following rational number 6.8² − 3.4² + 2.1³ ⁄ 0.5³ + 1.7320, answer will be

1. 18.1694
2. 15.1694
3. 31.1694
4. 22.1694

D

FUNNY TRICKS TO LEARN PERIODIC TABLE

                        BALAJI STUDY POINT

Its very difficult to learn periodic table  elements .By funny tricks  we can memorize easily within  a short time  all elements of periodic table group wise(1,2,13,14,15,16,17,18)

1^st group elements (down the column)

 H      Li       Na          K         Rb           Cs          Fr

Heena liNa Ki RB CsE Friyad

2^nd group elements (down the column)

 Be       Mg           Ca         Sr            Ba         Ra 

Beta Maange Kanya Sundar Baap Raazi

13^th group elements (down the column)

 B      Al             Ga            In              Tl

BAG IT

14^th group elements (down the column)

 C             Si            Ge            Sn                  Pb

College Student Gets Some Problem

15^th group elements (down the column)

 N               P               As             Sb               Bi

News Paper me Aaj Sab Bikta hai

16^th group elements (down the column)

O              S                  Se             Te        Po

Old Style Se TeePo

17^th group elements (down the column)

 F             Cl     Br     I   At

Face CBI At ur home

  

18^th group elements (down the column)

He       Ne              Ar       Kr        Xe        Rn

Hai Nana patekar Aaj Ka Zinda Raja

Funny tricks for remaining groups like 3 t0 12, i will be post within a week

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No need to sell books, stationary, uniform: CBSE asks schools to just focus on education.

CBSE norms mandate that schools are run as community service and not as a business and that commercialisation does not take place in the school in any shape whatsoever.

In a bid to curb unethical practices being carried out at various schools, the Central Board of Secondary Education (CBSE), in a recent advisory, said action would be taken against schools that indulge in commercial activities such as selling books, uniforms and stationery items to school students. 

According to CBSE, if any school does so in future, then it leads to violation of norms.

Reasons behind this notice:

This advisory comes in following complaints from parents and stakeholders regarding schools indulging in commercial activities by way of selling books and uniforms within the school premises or through selected vendors.

Here's what the board says:

In a communication to the school, the board in a recent PTI report said, "The board has taken a serious view of the complaints and the schools are directed to desist from the unhealthy practice of coercing parents to buy text books, note books, stationary, uniforms, shoes, school bags etc from within the premise or from selected vendors only."

"CBSE norms mandate that schools are run as community service and not as a business and that commercialisation does not take place in the school in any shape whatsoever. Educational institutions are not commercial establishments and their sole purpose is to provide quality education," the report added.

Meanwhile, CBSE in the notice has also recalled directive to schools to stick to books published by the National Council of Educational Research and Training (NCERT).

Furthermore, the board also said it received complaints regarding the pressure exercised by schools on children and their parents to buy textbooks other than (that of) NCERT.

To take action in this regard, the CBSE had asked schools to raise the online indent for NCERT textbooks and more than 2,000 schools had participated in it.

Earlier, Union HRD Minister Prakash Javadekar also said that NCERT textbooks have been supplied to 2,000 private schools.

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