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Test: Inequalities - 1 - Class 10 MCQ


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10 Questions MCQ Test The Complete SAT Course - Test: Inequalities - 1

Test: Inequalities - 1 for Class 10 2024 is part of The Complete SAT Course preparation. The Test: Inequalities - 1 questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Inequalities - 1 MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Inequalities - 1 below.
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Test: Inequalities - 1 - Question 1

Directions: In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.

Statements:
A > B, B > C, C = D, D < E

Conclusions:

I. B = D

II. B > D

Detailed Solution for Test: Inequalities - 1 - Question 1

Given statements: A > B, B > C, C = D, D < E

On combining: A > B > C = D < E

Conclusions:

I. B = D → False (as B > C = D → B > D thus clear relation between B and D)

II. B > D→ True (as B > C = D → B > D)

Therefore, only conclusion II is True.

Test: Inequalities - 1 - Question 2

In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answer accordingly.

Statements: 
L > F = S < T ≤ Q < P

Conclusions:

I. F < Q

II. L > S

III. T < P

Detailed Solution for Test: Inequalities - 1 - Question 2

Given statements: L > F = S < T ≤ Q < P

I. F < Q → True (as F = S < T ≤ Q)

II. L > S → True (as L > F = S)

III. T < P → True (as T ≤ Q < P)

Hence, all of the given conclusions follow.

Test: Inequalities - 1 - Question 3

In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.

Statement: 
P > S ≥ M = L < J = N

Conclusions:

I. L < N

II. P > M

III. S = L 

Detailed Solution for Test: Inequalities - 1 - Question 3

Given statement: P > S ≥ M = L < J = N

I. L < N → True (as L < J = N)

II. P > M → True (as P > S ≥ M)

III. S = L → False (as S ≥ M = L gives either S = L or S > L)

Hence, both conclusions I and II are true.

Test: Inequalities - 1 - Question 4

In the following question, assuming the given statements to be true, find which of the following among the given conclusions is/are definitely true and then give your answers accordingly.

Statement: 
S = U > K > L ≥ Y < R ≤ B

Conclusion:

I. K < Y

II. L > Y

III. L = Y

Detailed Solution for Test: Inequalities - 1 - Question 4

Statement: S = U > K > L ≥ Y < R ≤ B

Conclusion:

I. K < Y → False (As, S = U > K > L ≥ Y)

II. L > Y → False (As, S = U > K > L ≥ Y)

III. L = Y → False (As, S = U > K > L ≥ Y)

But conclusion II and III forms a complementary pair.

Hence, either conclusion II or III follows.

Test: Inequalities - 1 - Question 5

If W > X, X > Y and Y > Z, then which of the following conclusions is definitely wrong?

Detailed Solution for Test: Inequalities - 1 - Question 5

Given: W > X, X > Y and Y > Z

On combining: W > X > Y > Z

I) X > Z → True

II) W > Z → True

III) Z > W → False (as W > Z)

IV) W > Y → True

Hence, Z > W is definitely wrong.

Test: Inequalities - 1 - Question 6

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, decide which of the conclusions logically follows from the statements.

Statements:

P ≥ R, R > T, T ≤ A

Conclusions:

I. P > A

II. T < P

Detailed Solution for Test: Inequalities - 1 - Question 6

Statements: P ≥ R, R > T, T ≤ A

Conclusions:

I. P > A → False (As P ≥ R > T ≤ A → Thus, there is no clear relationship given between P and A)

II. T < P → True (As P ≥ R > T → T < P)

Hence, Only conclusion II follows.

Test: Inequalities - 1 - Question 7

In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.

Statements:
P < Q < R; R = S ≤ T

Conclusions:

I. Q > T

II. S > P

Detailed Solution for Test: Inequalities - 1 - Question 7

Given statements: P < Q < R; R = S ≤ T

On combining: P < Q < R = S ≤ T

Conclusions:

I. Q > T → False (as Q < R and R = S ≤ T → Q < R = S ≤ T → Q ≤ T)

II. S > P → True (as P < Q < R; R = S → P < Q < R = S → P < S)

Hence, only conclusion II is true.

Test: Inequalities - 1 - Question 8

Below is a statement followed by some conclusions. Find which of the given conclusions logically follow(s) from the given statement.

Statement: 
P > Q ≤ C ≤ B = M > D

Conclusions:

I. M > Q

II. D ≤ Q

III. M = Q

IV. C < D

Detailed Solution for Test: Inequalities - 1 - Question 8

I. M > Q → False (as Q ≤ C ≤ B = M → M gives either M = Q or M > Q).

II. D ≤ Q → False (as Q ≤ C ≤ B = M > D)

III. M = Q → False (as Q ≤ C ≤ B = M → M gives either M = Q or M > Q).

IV. C < D → False (as C ≤ B = M > D).

P > Q ≤ C ≤ B = M > D is given in statement. Therefore but Conclusion I and III forms a complementary pair for either.

Thus, the correct answer is option 1.

Test: Inequalities - 1 - Question 9

In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and give your answers accordingly.

Statements:

P > Q; Q > R; R > S; S > T

Conclusions:

I. T < Q

II. R < P

Detailed Solution for Test: Inequalities - 1 - Question 9

Given statements: P > Q; Q > R; R > S; S > T.

On combining: P > Q > R > S > T

Conclusions

I. T < Q → True (as Q > R > S > T → Q > T)

II. R < P → True (as P > Q > R → P > R)

Hence, both of the conclusions are true.

Test: Inequalities - 1 - Question 10

In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and give your answers accordingly.

Statements:

B > C; C < D; D > E; E > F

Conclusions:

I. C < F

II. B > D

Detailed Solution for Test: Inequalities - 1 - Question 10

Given statements: B > C; C E; E > F

On combining: B > C < D > E < F

Conclusions:

I. C < F → False (as C < D > E < F → clear relationship between F and D cannot be determined)

II. B > D → False (as B > C < D → clear relation between B and D cannot be determined)

Hence, none of the conclusions is true.

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