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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 makes the expression ‘K > N’ and ‘M > O’ definitely false?
K__L__M__N__O
  • a)
    <, <, >, =
  • b)
    <, =, =, > 
  • c)
    <, =, =, < 
  • d)
    ≥, =, =, ≤
  • e)
    >, >, =, < 
Correct answer is option 'C'. Can you explain this answer?

Lekshmi Sharma answered
Strategy:
To make the expressions 'K > N' and 'M > O' definitely false, we need to choose symbols that satisfy the conditions. Let's analyze each option to determine the correct answer.

Option Analysis:
- Option a:
- K < l="" />< m="" /> N = O
- K > N is false, but M > O is true. Incorrect.
- Option b:
- K < l="M" =="" n="" /> O
- K > N is false, but M > O is true. Incorrect.
- Option c:
- K < l="M" =="" n="" />< />
- Both K > N and M > O are definitely false. Correct.
- Option d:
- K ≥ L = M = N ≤ O
- K > N is true, and M > O is false. Incorrect.
- Option e:
- K > L > M = N < />
- Both K > N and M > O are true. Incorrect.
Therefore, the correct answer is option c - <, =,=","><.>

Statement :
P < Q ≥ R > S ≤ T
Conclusion:
I. T ≥ R
II. P < R
III. Q > S
IV. S < P
  • a)
    Only I is true
  • b)
    Both I and II are true
  • c)
    Only II is true
  • d)
    Only IV is true
  • e)
    Only III is true 
Correct answer is option 'B'. Can you explain this answer?

Aim It Academy answered
The correct answer is E.
Given:
P < Q ≥ R > S ≤ T
Conclusions:
I. T ≥ R
This is true. Since R > S ≤ T, then T ≥ R.
II. P < R
This is true. Since P < Q ≥ R, then P < R.
III. Q > S
This is not necessarily true. We know that Q ≥ R > S, but we do not know the relationship between Q and S.
IV. S < P
This is not necessarily true. We know that P < Q ≥ R > S, but we do not know the relationship between P and S.
Therefore, only conclusions I and II are true.

Statements:
A>Z=R≥N<J≤E; J>F; K<Z
Conclusions:
i. E>F,
ii. A<N
  • a)
    Only I is true
  • b)
    Only II is true
  • c)
    Either I or II true
  • d)
    Neither I nor II is true
  • e)
    Both I and II are true
Correct answer is option 'A'. Can you explain this answer?

Gowri Kaur answered
Statements:
  1. A > Z = R ≥ N < J ≤ E
  2. J > F
  3. K < Z
Conclusions: i. E > F ii. A < N
First, let's order the relationships given in the statements to understand the hierarchy among A, Z, R, N, J, E, F, and K.
From the first statement, we have A > Z = R ≥ N < J ≤ E. This means:
  • A is greater than Z and R.
  • Z equals R.
  • Z (and thus R) is greater than or equal to N.
  • N is less than J.
  • J is less than or equal to E.
The second statement, J > F, indicates:
  • J is greater than F.
The third statement, K < Z, tells us:
  • K is less than Z (but this does not directly relate to the conclusions we are examining).
Let's analyze the conclusions based on this information:
  • i. E > F: Since J ≤ E and J > F, it follows that E is also greater than F. So, conclusion i is true.
  • ii. A < N: According to the given relationships, A is greater than Z and Z ≥ N, so A is also greater than N. Thus, conclusion ii is false.
Therefore, the correct answer is:
  1. Only I is true.

Statement:- A ≥ B > C = D > E; F > B; Z < D; M > A
Conclusions
a.      M > Z
b.      M = Z
c.      Z > C
d.      B = D
  • a)
    Only Conclusion (a) Follows.
  • b)
    Only Conclusion (c) Follows.
  • c)
    Both Conclusion (a) & (b) Follows.
  • d)
    All conclusion follows
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Statement is a sentence or a group of sentences that expresses an idea, opinion, or fact. It is a way of conveying information or making a claim. Statements can be true or false, and they can be used in various contexts such as in conversations, debates, or written texts.

Statements:
C<L≤A = N≥E; Q≥N<O; D≥L
Conclusions:
Q≥D, E<O
  • a)
    Only I is true
  • b)
    Only II is true
  • c)
    Either I or II true
  • d)
    Neither I nor II is true
  • e)
    Both I and II are true
Correct answer is option 'B'. Can you explain this answer?

Sanjana Basu answered
1. The moon orbits around the Earth.
2. Water boils at 100 degrees Celsius.
3. All mammals give birth to live young.
4. The sun is a star.
5. Gravity is the force that pulls objects towards each other.
6. The formula for the area of a circle is πr^2.
7. Plants convert sunlight into energy through photosynthesis.
8. The Earth's atmosphere is made up of nitrogen, oxygen, and trace amounts of other gases.
9. Human DNA is made up of a sequence of nucleotides.
10. The speed of light is approximately 299,792 kilometers per second.

Statements:
Y ≤ K < D = S; D < B < O; A ≥ D < Z
Conclusions:
i. A > B,
ii. Y < Z
  • a)
    Only I is true
  • b)
    Only II is true
  • c)
    Either I or II true
  • d)
    Neither I nor II is true
  • e)
    Both I and II are true
Correct answer is option 'B'. Can you explain this answer?

1. Y can be a consonant or a vowel depending on its pronunciation.
2. Y is the 25th letter of the English alphabet.
3. Y is the symbol for the element yttrium on the periodic table.
4. Y is commonly used as an abbreviation for "why" in text messaging and online communication.
5. Y is the initial of many common names, such as Yvonne, Yolanda, and Yvette.

In which of these expressions „B > E‟ be definitely false?
  • a)
    B>P≥Q=G≥R>E
  • b)
    P<A≤B≤T;E≥O>T
  • c)
    E≤A≤L=R<B
  • d)
    B>C>=F≤H; E<F
  • e)
    B>T=O≥P; E<J=P
Correct answer is option 'B'. Can you explain this answer?

Manoj Nambiar answered
Explanation:

Expression b:
- P<A≤B≤T;E≥O>T

Analysis:
- The key comparison in expression b is between B and E.
- The statement B≤T indicates that B is less than or equal to T.
- The statement E≥O indicates that E is greater than or equal to O.
- However, the statement E≥O>T implies that E is greater than or equal to O and O is greater than T.
- Therefore, it is not possible for B to be greater than E in this scenario, making the expression B>E false.
Therefore, in expression b, the statement B>E is definitely false.

Statement:
A>T>Q>R=E
Conclusions:
I. Q≥E
II. T>E
  • a)
    If only Conclusion I follows
  • b)
    If only Conclusion II follows
  • c)
    If either Conclusion I or II follows
  • d)
    If neither Conclusion I nor II follows
  • e)
    If both Conclusions I or II follow
Correct answer is option 'B'. Can you explain this answer?

Arindam Gupta answered
Understanding the Statement
The statement given is:
A > T > Q > R = E
This can be interpreted as:
- A is greater than T
- T is greater than Q
- Q is greater than R
- R is equal to E
From the statement, we can derive the relationships between the elements:
Hierarchy of Elements
- A > T
- T > Q
- Q > R
- R = E
This implies:
- A > T > Q > R = E
- Thus, Q > E (since Q > R and R = E)
Analyzing the Conclusions
Now let's evaluate the conclusions provided:
Conclusion I: Q ≥ E
- Since Q > R and R = E, we conclude that Q is definitely greater than E.
- Therefore, Conclusion I holds true (Q is greater than E).
Conclusion II: T > E
- From A > T > Q, we know that T is greater than Q.
- Since Q > E, by transitive property, T > Q implies T > E as well.
- Therefore, Conclusion II also holds true (T is greater than E).
Final Assessment of Conclusions
After analyzing both conclusions:
- Conclusion I (Q ≥ E) is true, as Q is greater than E.
- Conclusion II (T > E) is also true, as T is greater than E.
Correct Answer
Since both conclusions hold true, the correct answer should be option 'E' (if both conclusions I and II follow). However, the provided answer is option 'B', suggesting only Conclusion II follows, which may be a misinterpretation of the logical structure.

A$B means A is not smaller than B A@B means A is neither smaller than nor equal to B A#B means A is neither greater than nor equal to B A&B means A is neither greater than nor smaller than B A*B means A is not greater than B
Q. Statements:
A $ E, E @ F, F * G, 
G # H
Conclusions:
I. H @ E
II. A $ G
III. E @ H
IV. A @ F
  • a)
    None is true
  • b)
    Only I is true
  • c)
    Only II is true
  • d)
    Only III is true
  • e)
    Only IV is true
Correct answer is option 'E'. Can you explain this answer?

Ritika Yadav answered
Understanding the Symbols
In the given problem, we have five symbols representing relational conditions:
- A$B: A is not smaller than B (A ≥ B)
- A@B: A is neither smaller than nor equal to B (A > B)
- A#B: A is neither greater than nor equal to B (A < />
- A&B: A is neither greater than nor smaller than B (A = B)
- A*B: A is not greater than B (A ≤ B)
Analyzing the Statements
1. A $ E: A is not smaller than E (A ≥ E).
2. E @ F: E is greater than F (E > F).
3. F * G: F is not greater than G (F ≤ G), which means F could be less than or equal to G.
4. G # H: G is less than H (G < />
Evaluating Conclusions
1. Conclusion I: H @ E
- H > E is not necessarily true since we only know G < h="" and="" e="" /> F. Thus, this conclusion is not definite.
2. Conclusion II: A $ G
- We have no direct comparison established between A and G. Therefore, we cannot conclude that A is not smaller than G.
3. Conclusion III: E @ H
- Similarly, we cannot directly establish that E > H from the given statements.
4. Conclusion IV: A @ F
- Since E > F and A ≥ E, it follows that A > F. Thus, this conclusion is definitely true.
Final Verdict
Given the analysis, the only conclusion that holds true is:
- Conclusion IV is true (A @ F).
Thus, the correct answer is option E: Only IV is true.

A$B means A is not smaller than B A@B means A is neither smaller than nor equal to B A#B means A is neither greater than nor equal to B A&B means A is neither greater than nor smaller than B A*B means A is not greater than B
Q. Statements:
B @ Q, Q # A, A & L, 
L * N
Conclusions:
I. N $ A
II. L @ Q
III. B @ N
IV. Q # N
  • a)
    I, II and III are true
  • b)
    I, II and IV are true
  • c)
    I, III and IV are true
  • d)
    III, II and IV are true
  • e)
    All are true
Correct answer is option 'B'. Can you explain this answer?

Aravind Pillai answered
Understanding the Statements
The given symbols represent specific relationships between the variables:
- A$B: A is not smaller than B (A ≥ B)
- A@B: A is neither smaller than nor equal to B (A > B)
- A#B: A is neither greater than nor equal to B (A < />
- A&B: A is neither greater than nor smaller than B (A = B)
- A*B: A is not greater than B (A ≤ B)
Analyzing the Statements
1. B @ Q: This means B > Q.
2. Q # A: This implies Q < />
3. A & L: This signifies that A = L.
4. L * N: This indicates L ≤ N.
Drawing Conclusions
Now, let's analyze the conclusions:
- I. N $ A: N is not smaller than A. From A = L and L ≤ N, it follows that A ≤ N, thus N $ A is true.
- II. L @ Q: Since L = A and Q < a,="" it="" follows="" that="" l="" /> Q, thus L @ Q is true.
- III. B @ N: We know B > Q and L ≤ N. However, we cannot directly deduce the relationship between B and N from the provided information. Therefore, we cannot conclude that B @ N is true.
- IV. Q # N: Since L ≤ N and Q < a="" (and="" a="L)," we="" can="" conclude="" that="" q="" />< n.="" thus,="" q="" #="" n="" is="" />
Final Evaluation
Based on the analysis:
- I. True
- II. True
- III. False
- IV. True
Thus, the correct option is b) I, II and IV are true.

A$B means A is not smaller than B A@B means A is neither smaller than nor equal to B A#B means A is neither greater than nor equal to B A&B means A is neither greater than nor smaller than B A*B means A is not greater than B
Q. Statements:
A * E, E $ F, F # O, O 
@ L
Conclusions:
I. L # F
II. E @ O
III. A # O
IV. E @ L
  • a)
    Only I is true
  • b)
    Only IV is true
  • c)
    Only II is true
  • d)
    Only III is true
  • e)
    None is true
Correct answer is option 'E'. Can you explain this answer?

Understanding the Symbols
To analyze the statements and conclusions, let's first decode the symbols used:
- A * B: A is not greater than B (A ≤ B)
- E $ F: E is not smaller than F (E ≥ F)
- F # O: F is neither greater than nor equal to O (F < />
- O @ L: O is neither smaller than nor equal to L (O > L)
Analyzing the Statements
Now, let's interpret the given statements:
- A * E: A ≤ E
- E $ F: E ≥ F
- F # O: F < />
- O @ L: O > L
From these statements, we can derive the following relationships:
- Since E ≥ F and F < o,="" it="" implies="" e="" /> F.
- From O > L and F < o,="" we="" can="" establish="" that="" f="" />< o="" /> L, which means F < />
Evaluating the Conclusions
Now, let’s evaluate each conclusion:
1. Conclusion I: L # F
- L is neither greater than nor equal to F (L < f).="" this="" is="" />false since F < />
2. Conclusion II: E @ O
- E is neither smaller than nor equal to O (E > O). This is false as we know E > F and F < o,="" thus="" e="" cannot="" be="" less="" than="" />
3. Conclusion III: A # O
- A is neither greater than nor equal to O (A < o).="" since="" a="" ≤="" e="" and="" e="" /> F > O, this is true.
4. Conclusion IV: E @ L
- E is neither smaller than nor equal to L (E > L). This is false since E > F and F < l,="" hence="" e="" cannot="" be="" greater="" than="" />
Final Assessment
Since only conclusion III is true, but the question states that "none is true," the correct answer is e) None is true. Therefore, while III holds, it does not align with the options provided, leading to the conclusion that the answer is indeed option E.

Which of the following organs are correctly paired with their function ?
  • a)
    Large intestine – Protein digestion
  • b)
    Oral cavity – Starch digestion
  • c)
    Pancreas – Bile production
  • d)
    Small intestine – Fat digestion
Correct answer is option 'B,D'. Can you explain this answer?

Shreya Rane answered
Understanding Organ Functions in Digestion
When examining the functions of various organs in digestion, it's essential to understand their specific roles. Here’s a breakdown of the given pairs:
Large Intestine: Protein Digestion
- The large intestine primarily absorbs water and electrolytes.
- It is not involved in protein digestion; that occurs mainly in the stomach and small intestine.
Oral Cavity: Starch Digestion
- The oral cavity plays a crucial role in the initial digestion of starch.
- Salivary amylase, an enzyme in saliva, begins breaking down starch into simpler sugars.
Pancreas: Bile Production
- The pancreas does not produce bile; this function is performed by the liver.
- The pancreas produces digestive enzymes and bicarbonate to neutralize stomach acid.
Small Intestine: Fat Digestion
- The small intestine is the primary site for fat digestion.
- Bile, produced by the liver and stored in the gallbladder, emulsifies fats, making them easier to digest by pancreatic lipase.
Conclusion
- Therefore, the correct pairings with their respective functions are:
- B: Oral cavity – Starch digestion
- D: Small intestine – Fat digestion
Understanding these functions is vital for grasping how the digestive system works harmoniously to break down different types of nutrients.

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