Statement and Conclusions, Verbal Reasoning - Logical Deduction Questions and Answers

Q:

In the question below consists of a question and two statements numbered a and b given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer.

Question: In which year was Kalyan born ?
Statements:
a. Kalyan at present is 15 years younger to his mother.
b. Kalyan's brother, who was born in 1991, is 25 years younger to his mother.

A) b alone is sufficient while a alone is not sufficient	B) a alone is sufficient while b alone is not sufficient
C) Both a and b are sufficient	D) Neither a nor b is sufficient

Answer & Explanation Answer: C) Both a and b are sufficient

Explanation:

From both a and b, we find that Kalyan is (25 - 15) = 10 years older than his brother, who was born in 1991. So, Kalyan was born in 1981.

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Q:

Find which of the two conclusions I and II given below is/are definitely true from the the given statements.

Statements: I > W > T > N, I = F = G = C

Conclusions: I. W > I

II. C > N

A) Only Conclusion I is true	B) Only Conclusion II is true
C) Both conclusions I & II are true	D) Neither conclusion I nor II is true

Answer & Explanation Answer: B) Only Conclusion II is true

Explanation:

From the given Statements :

1. I > W > T > N

2. F = G = C

Conclusions are :

I. W > I (False)

II. C > N (True)

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Q:

In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b.

1. $5 a^{2} - 18 a + 9 = 0$

2. $3 b^{2} + 5 b - 2 = 0$

A) a >= b	B) a <= b
C) a < b	D) a > b

Answer & Explanation Answer: D) a > b

Explanation:

From solving 1 and 2 we get,

1.

5a(a-3)-3(a-3) = 0

(5a-3)(a-3) = 0

a = 3 or 3/5

2.

3b(b+2)-1(b+2) = 0

b = -2 or b = 1/3

Here when a = 3, a > b for b = -2 and b = 1/3

when a = 3/5. a > b for b = -2 and b = 1/3.

Hence, it is clear that a > b.

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Q:

In each question given below four conclusions are followed by statements. You have to take the three given statements to be true (even if they seem to be at variance from the commonly known facts). Read the conclusions and decide which of the following set of statement indicate that conclusion is logically follows.

Statements :
1. All chairs are tents.

2. No chairs is jugs.

3. No jugs is glasses.

4. No glasses is pots.

Conclusions :
I. All pots are tents.

II. All glasses are chair.

III. Some jugs are tents.

A) Only conclusion I follows	B) Both conclusion II & III follows
C) None follows	D) Only conclusion II follows

Answer & Explanation Answer: C) None follows

Explanation:

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5 2097

Q:

Study the question and all the three statements given and decide whether any information provided in the statements are redundand and can be dispensed with while answering the questions.

Question :

What is the rate of interest per year ?

Statements :

1. The amount invested is Rs. 6000.
2. The amount becomes Rs. 6741.60 in 2 years at compound interest.
3. The difference between compound interest and simple interest in 2 years is Rs. 21.60.

A) Only 3	B) Both 2 & 3
C) Any two of (1, 2 & 3)	D) None

Answer & Explanation Answer: C) Any two of (1, 2 & 3)

Explanation:

Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%.

Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years.

Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate.

Hence by using any two of the three statements(1,2&3) we get rate of interest.

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Q:

If the age of father is 4 years greater than the mother and 28 years greater than the son,then what is the age of the father?

which one should be used to calculate the age ?

A) mother/son = Non-prime number
B) mother/son = Perfect square number

A) only A alone is sufficient	B) only B alone is sufficient
C) both A and B are required	D) Cannot be answered

Answer & Explanation Answer: B) only B alone is sufficient

Explanation:

For the given problem there are three possiblities.
Father's age can be = 36, 31, 29
Mother's age = 32, 27, 25
Son's age = 8, 3, 1.

By using only B it can be calculated.

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Q:

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 > C; G > E; G ≤ C; R ≤ I; K ≤ I

Conclusions:

i. A > G

ii. C > E

A) None is true	B) Only I is true
C) Only II is true	D) Either I or II is true

Answer & Explanation Answer:

Explanation:

Given statements: A > C; G > E; G ≤ C; R ≤ I; K ≤ IOn combining: A > C ≥ G > E; K ≤ I ≥ RConclusions:i. A > G→True (as A > C ≥G→A > G)ii. C > E→True (as C ≥G > E→C > E)Therefore, both conclusions are true.

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Q:

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statements:
(I) Some white is black.
(II) No black is green.

Conclusion:
(I) Some white is green.
(II) Some white is not green.

A) Conclusion I follows	B) Conclusion II follows
C) Either 1 or 2 follows	D) Both I and II follows

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