Test Details

Mathematical Reasoning

Objective

Jan 18, 9:00 AM

120 minutes

Jan 18, 11:00 AM

50.0 marks

MCQ

26 questions

Suraj

I have 5 year teaching experience of mathematics of jee mains and advanced, cbse board, icse board, up board, cg board along with arithmetic.

Class Details

Mathematics

Class 11

Mathematics

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Question Text

Question 1 :
Let $p, q$ and $r$ be any three logical statements. Which one of the following is true?

Question 2 :
The negative of the statement "he is rich and happy" is given by

Question 6 :
Which of the following statements is the converse of "If the moon is full, then the vampires are prowling."?

Question 8 :
The converse of "if in a triangle $ABC, AB>AC$, then $\angle C=\angle B$", is

Question 9 :
If $p$ and $q$ are two statements then $(p \leftrightarrow \sim q)$ is true when

Question 13 :
Find the negation of the statement, "Some odd numbers are not prime".

Question 14 :
Assertion: (A): Let $\displaystyle n\in N $; $\displaystyle p(n)=n(n+1) $ is an even number. Reason: (R): Product of two consecutive natural numbers is even.

Question 16 :
Negation of ''A is in Class $X^{th}$ or B is in $XII^{th}$'' is

Question 17 :
Given the following six statements: (1) All women are good drivers (2) Some women are good drivers (3) No men are good drivers (4) All men are bad drivers (5) At least one man is a bad driver (6) All men are good drivers. The statement that negates statement (6) is:

Question 18 :
The converse of: "If two triangles are congruent then they are similar" is

Question 19 :
Which of the following connectives can be used for describing a switching network?

Question 20 :
Let $S$ be non-empty subset of $R$ then consider the following statement "Every number $\displaystyle x\: \epsilon \: S $ is an even number."Negation of the statement will be

Question 21 :
Assertion: (A): Let $\displaystyle P(n)=111\dots1  (91$ times$)$, then $P(n)$ is a prime number. Reason: (R): Every prime number has at most and at least two factors.

Question 22 :
Determine whether the following compound statement are true of false: Delhi is in England and $2+2=4$

Question 23 :
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times"' is:

Question 24 :
The proposition $(p \rightarrow\sim p) \wedge (\sim p \rightarrow p)$ is a

Question 25 :
If $p, q$ are two distinct primes, then $\sigma (pq)$ equals (where the operation $\sigma$ on a number $n$ is defined as the sum of all divisors of the number $n$.)

Question 26 :
Let P(n) denote the statement that $n^2+n$ is odd. It is seen that $P(n)\Rightarrow P(n+1), P(n)$ is true for all.

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