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Recent questions tagged mathematical-reasoning

Given : $P(x) =x^4 + ax^3 + bx^2 + cx + d$ such that $x=0$ is the real root of $P'(x)=0$. If $P(-1) < P(1)$, then in the interval $[-1, 1]$, which of the following statement is wrong.

asked Jan 22, 2014 by thanvigandhi_1

1 answer

Let A and B denote the statements \[ \] A: $ \cos \alpha + \cos \beta + \cos \gamma = 0$ \[\] B: $ \sin \alpha + \sin \beta + \sin \gamma = 0$ \[\] If $ \cos(\beta- \alpha) + \cos( \gamma- \alpha) + \cos( \alpha - \beta)= -\large\frac{3}{2}$, then

asked Jan 22, 2014 by thanvigandhi_1

1 answer

For a regular polygon, let r and R be the radii of the inscribed and the circumscribed circles. A false statement among the following is

asked Jan 22, 2014 by thanvigandhi_1

1 answer

The inverse of the converse of a conditional statement is the _______________.

asked Jan 22, 2014 by thanvigandhi_1

1 answer

What is true about the statement "If two angles are right angles, the angles have equal measure" and its converse "If two angles have equal measure then the two angles are right angles"?

asked Jan 22, 2014 by thanvigandhi_1

1 answer

In a class of 50 students, 18 take music, 26 take art, and 2 take both art and music. How many students in the class are not enrolled in either music or art?

asked Jan 22, 2014 by thanvigandhi_1

1 answer

Given the following statement: All seats are hot. All belts are hot. Now, consider the claims: C1: Some seats are belts. C2: All hot are either seats or belts . Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.

asked Jan 21, 2014 by thanvigandhi_1

1 answer

Given the following statement: All doors are windows. Some windows are clips. Now, consider the claims: C1 :Some clips, if they are doors, they are also windows C2: All clips which are not widows are also not doors. Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.

asked Jan 21, 2014 by thanvigandhi_1

1 answer

Given the following statement: Some paints are red. AIl red which are paints are yellow. Now, consider the claims: C1 :C1: Some paints are yellow. C2: Some yellow are red. Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.

asked Jan 21, 2014 by thanvigandhi_1

0 answers

Given the following statement: Statements: No shoe is a chappal. Some chappals are sandals. Now, consider the claims: C1: Some sandals are not chappals.. C2: Sandals which are not chappals are shoes. Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.

asked Jan 21, 2014 by thanvigandhi_1

1 answer

Given the following statement: All doors are windows. Some windows are dips. Now, consider the claims: C1: Some clips are doors. C2: Some windows are doors. Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.

asked Jan 21, 2014 by thanvigandhi_1

0 answers

Which of the following is not a false statement?

asked Jan 21, 2014 by thanvigandhi_1

1 answer

Which of the following is a true statement?

asked Jan 21, 2014 by thanvigandhi_1

1 answer

Let A={2,3,5,7}. For which of the sets, truth value is true?

asked Jan 21, 2014 by thanvigandhi_1

1 answer

What is the converse of the statement: n is divisible by 3, if the sum of digits of n is divisible by 3?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the contrapositive of the statement: If $f(2)=0$, then $ f(x)$ is divisible by $(x-2)$?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the converse of the statement: If $x-4 = 5$, then $x=9$?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the contradiction of the statement: In $ \Delta ABC,\: if\: AB=AC$, then angles $C=B$?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the negation of the statement, Rashmi is tall, and therefore, she is slim?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the negation of the statement, If it rains, the humidity increases?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Indicate the Premise2 in the following Premise1: All integers less than zero are negativenumbers. Conclusion : y is a negative number.

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which is a false statement?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which of the following is a true statement?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which counter example cannot be used to show that the statement, if n is an odd integer then n is prime is false?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which of the following statements do not convey the same meaning as, If a natural number is even then its square is also even?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which of the following statements do not convey the same meaning as, If a triangle is equiangular then it is an obtuse angled triangle.?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Identify the contrapositive of the statement, If 2 is the only even prime number then 6 is divisible by 3.

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Identify the contrapositive of the statement, If 2 lines are intersecting then they are not parallel.

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Identify the converse of the statement: If x is a prime number then x is even.

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Identify the converse of the statement: If a parallelogram is a square then it is a rhombus?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which statement represents the inverse of the statement "If it is snowing, then Skeeter wears a sweater."?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

The statement: 5 divides 20 if 5 divides -20, in if-then form would be

asked Jan 20, 2014 by thanvigandhi_1

1 answer

The statement: 24 is divisible by 6 if 25 is a multiple of 5, in if-then form would be

asked Jan 20, 2014 by thanvigandhi_1

1 answer

The statement: A rectangle is a square if all the 4 sides are equal, in if-then form would be

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the negation of: For every real number $x ,x \gt x+2$?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

In which of the following statements is the OR inclusive?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

In which statement is the OR exclusive?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

If $ t$ and $ c$ denote a tautology and a contradiction respectively, then for any statement $p, p \wedge t$ is equal to

asked Jan 20, 2014 by thanvigandhi_1

1 answer

If p : Nidhi is a girl and q : Anurag is a boy, then the statement: Nidhi is a girl and Anurag is a boy, is written in symbols as

asked Jan 20, 2014 by thanvigandhi_1

1 answer

What is the negation of: Ram is in class X or Rashmi is in class XII?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

"If Deb and Sam go to the mall, then it is snowing." Which statement below is logically equivalent?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

If Susan does not like spinach, what is the truth value of the statement "Susan likes ice cream and she like spinach."?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

The sentence "____ if and only if $ x + x = 3x$" is TRUE. Which of the following could be used to fill in the blank?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

The sentence "____ if and only if $ x + x = 3x$" is TRUE. Which of the following could be used to fill in the blank?

asked Jan 20, 2014 by thanvigandhi_1

1 answer

Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?

asked Jan 18, 2014 by thanvigandhi_1

1 answer

Which statement is logically equivalent to "If Yoda cannot use a lightsaber, then he cannot help Luke win the battle."

asked Jan 18, 2014 by thanvigandhi_1

1 answer

"If Tom buys a red skateboard, then Amanda buys green in-line skates." Which statement below is logically equivalent?

asked Jan 18, 2014 by thanvigandhi_1

1 answer

Mary says "The number I am thinking is divisible by 2 or it is divisible by 3". This statement is false if the number Mary is thinking of is

asked Jan 18, 2014 by thanvigandhi_1

1 answer

The statement "If x is divisible by 8, then it is divisible by 6" is false if x equals

asked Jan 18, 2014 by thanvigandhi_1

1 answer

Which of the following options indicate the correct contrapositive and converse respectively of the Statement- “Something is cold implies that it has cold temperature.”

asked Jan 18, 2014 by thanvigandhi_1

1 answer

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