Symbol notations inequalities questions

Symbol notations inequalities questions

Download Handout 1 on Symbols and Operations – Must do 60 EASY questions>>
Download Handout 2 Symbol inequalities questions – Must do 36 MEDIUM questions>>

 

Symbols and Operations

Type 1 Symbols
1. In which of these expressions ‘S > V’ be definitely false?
A. S>P≥Q=G≥R>V
B. P<A≤S≤T; V≥O>T
C. V≤A≤L=R<S
D. S>C>=F≤H; V< F
E. S>T=O>=P; V<J=P

2. Which of the following symbols should be placed in the blank spaces respectively(in the same order from left to right) in order to complete the given expression in such a manner that both ‘D>R’ as well as ‘E≤B’ definitely holds true? B _ A _ R _ E _ D
A. >, ≥, <, = B. >, >, ≥, < C. ≥, ≥, ≥,≤
D. ≥, =, ≥,< E. Other than those given as options

Answers: B and D

Type 2
Direction: in each of the following questions, assuming the given statements to be true, find which of the following options holds
true:
Question 1
Statements: B < Q ≥ F < H, F = N Conclusions: I. N ≤ Q II. Q > H

Question 2
Statements: T ≥ Q, G < K, O ≤ M, G = J Conclusions: I. T ≥ O II. M > G

Solutions
1. It’s ‘If only conclusion I is true.’ Ans. A
2. It’s ‘If neither conclusion I nor conclusion
II is true’ Ans. D

Type 3
Directions to solve:
If,
i) A @ B means A is greater than B;
ii) A * B means A is either greater than or equal to B;
iii) A # B means A is equal to B;
iv) A $ B means A is either smaller than or equal to B;
v) A + B means A is smaller than B.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is / are definitely True?

Give answer (a) if only conclusion I is true
Give answer (b) if only conclusion II is true
Give answer (c) if either conclusion I or II is true
Give answer (d) if neither conclusion I nor II is true.
Give answer (e) if both conclusions I and II are true.

Question 1
Statements :
P * Q; Q $ R; S + T: R + S
Conclusions :
I. Q + S
II. Q + T
Options: a, b, c, d, e
Answer : option e.
Solution :
Given Statements: P * Q; Q $ R; S + T; R + S
Converting the statements as follows:
P * Q => P is greater than or equal to Q; i.e., P > = Q
Q $ R => Q is less than or equal to R; i.e., Q < = R
S + T => S is less than T; i.e., S < T
R + S => R is less than S; i.e., R < S

After conversion, combining the above, we have,
P > = Q < = R < S < T
From above inequality, we have, Q < = R < S < T
=> Q < S and Q < T
Given conclusions,
Q + S => Q < S which is true
Q + T => Q < T which is also true.
Hence, both conclusions I and II are true.

Question 2
Statements :
P + Q; R $ S; T * Q; R @ P
Conclusions :
I. P $ S
II. P + T
Options: a, b, c, d, e
Answer : option d.
Solution :
Given Statements: P + Q; R $ S; T * Q; R @ P;
Converting the statements as follows:
P + Q => P < Q
R $ S => R is less than or equal to S; i.e., R < = S
T * Q => T is greater than or equal to Q; i.e., T > = Q
R @ P => R > P
Combining the above four, we get, S > = R > P < Q < = T
From the above inequality, we have
S > P and P < T ….(1)
Given conclusions,
S $ P => S < = P which is not true since S > P
P + T => P < T which is true.
Hence, conclusion II is true.

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There are 4 comments
  1. Sumeet Saurav

    Sir / Ma’am,
    I need to know, where can i study for general awareness section of Snap 2016. As there is 6 days remaining for the exam, what sources can I use to study for General Awareness, please guide me on this.

  2. rishabh lodha

    Sir can u upload a video of how to solve these question of symbols beacuse its taking a lot of time when I try to solve it

  3. Sir, please upload input output type of questions for cet2018 as per new pattern

  4. Pavitra shetty

    Sir, can you please help in siolving question number 2 of symbol type1.

    Thank you

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