Given three statements P: 5 is a prime n...

Given three statements P: 5 is a prime number, Q:7 is a factor of 192, R:The LCM of 5 & 7 is 35 Then which of the following statements are true (a) `P v (~Q^^R)` (b) `~P^^(~Q^^R)` (c) `(PvQ)^^~R` (d) `~P^^(~Q^^R)`

A

`(p wedgeq)vee (~r)`

B

`(~p)wedge(~q wedge r)`

C

`(~p) vee (q wedge r)`

D

`p vee(~q wedge r)`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

JEE 2019
CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos
JEE 2019
CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos
JEE 2019
CENGAGE PUBLICATION|Exercise chapter -3|1 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
CENGAGE PUBLICATION|Exercise All Questions|541 Videos
LIMITS
CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

Construct the truth table for the followings statements : (a) (p^^q) to ~ p " " (b) (p^^q) to (pvvq) (c) (p^^q) to r " " (d) [p^^(~r)] to (qvvr)

P is the set of factors of 5, Q is the set of factors of 25 and R is the set of factors of 125. Which of the following is false? (A) P subset Q (B) Q subset R (C) R subset P (D) P subset R

Find the truth values of the following compound statements : (i) p^^(q^^r) " " (ii) (pvvq) vvr (iii) p^^(qvvr) " " (iv) (p^^q)vvr

If p,q,r are any real number, then

If the statements (p^^~r) to (qvvr) , q and r are all false, then p

If r,s,t are prime numbers and p,q are the positive integers such that LCM of p,q is r^2t^4s^2 , then find the number of ordered pair (p,q).

In three sets P,Q,R if Pcup R=Pcup Q and Pcap Q=PcapR ,then show that Q=R.

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224

If pth, qth and rth terms of on AP are a. b and c, then show that a(q - r) + b(r - p) + c(p - q) = 0.

Let's find the L.C.M of the following algebraic expressions. (p+q) (q+r), (q+r)(r+p), (r+p)(p+q)

CENGAGE PUBLICATION-JEE 2019-MCQ

If the Boolean expression (p oplusq)wedge (~p Theta q) is equivalent t...
Text Solution
|
The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to
Text Solution
|
Given three statements P: 5 is a prime number, Q:7 is a factor of 192,...
Text Solution
|
If q is false and (p^^q) harr r is also true then which of the followi...
Text Solution
|
The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p ...
Text Solution
|
(~pvv~q) is logically equivalent to
Text Solution
|
Average height & variance of 5 students in a class is 150cm and 18cm^2...
Text Solution
|
A data consists of n observations x(1), x(2), ..., x(n). If Sigma(i=1)...
Text Solution
|
The mean of five observations is 5 and their variance is 9.20. If thr...
Text Solution
|
The mean and standart deviation of five observations x1,x2,x3,x4,x5 an...
Text Solution
|
The outcome of each of 30 items was observed , 10 items gave an outcom...
Text Solution
|
Contrapositive of the statement ''If two numbers are not equal, then t...
Text Solution
|
There are 30 white balls and 10 red balls in bag. 16 balls are drawn w...
Text Solution
|
If the sum of the deviations of 50 observations from 30 is 50, then th...
Text Solution
|
Mean and variance of five observations are 4 and 5.2 respectively. If ...
Text Solution
|
The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2...
Text Solution
|
If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...
Text Solution
|
If the system of equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...
Text Solution
|
Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...
Text Solution
|
If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...
Text Solution
|