Statement and Conclusion problems
- 1. Fact 1: All hats have brims. Fact 2: There are black hats and blue hats. Fact 3: Baseball caps are hats. If the first three statements are facts, which of the following statements must also be a fact? I. All caps have brims. II. Some baseball caps are blue. III. Baseball caps have no brims.
Options- A. I only
- B. II only
- C. I, II, and III
- D. None of the statements is a fact. Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, TOEFL, Bank Clerk, Bank PO
Correct Answer: None of the statements is a fact.
Explanation:
All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III?but it doesn?t follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.
- 2. Statement : The byproducts obtained from animals such as hairs, skins, horns, etc. contain at least 45 per cent food protein. Indian scientists have developed methods to segregate 50 per cent of this protein. They have used an enzyme developed in Russia for destruction of soya-proteins. Conclusions: A. Indian scientists cannot develop enzymes. B. If a suitable method involving less cost is developed then many more food protein would be obtained.
Options- A. Only A follows
- B. Only B follows
- C. Neither A nor B follows
- D. Both A & B follows Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, TOEFL, Bank Clerk, Bank PO
Correct Answer: Neither A nor B follows
Explanation:
There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes.
So conclusion A does not follow.
In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins.
Thus, conclusion B does not follow either.
- 3. How long will it take for two pipes A and B to fill an empty cistern if they worked alternately for an hour each ? A. Working alone, Pipe A can fill the cistern in 40 hours B. Pipe B is one third as efficient as Pipe A
Options- A. Only A is sufficient
- B. Only B is sufficient
- C. Both (A) and (B) are sufficient
- D. None Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: Both (and (are sufficient
Explanation:
From statement A, we know that Pipe A can fill the tank in 40 hours. However, this information is not sufficient as we do not have the data for Pipe B. Hence, statement A alone cannot answer the given question.
From statement B, we know that Pipe B is one third as efficient as pipe A. However, we do not know the rate at which Pipe A fills the tank. Hence, we will not be able to find the rate at which Pipe B fills the cistern. Therefore, statement B alone is not sufficient to answer the question.
Now, if we combine the two statements, we know that Pipe A take 40 hours to fill the cistern.
Pipe B takes 120 hours to fill the cistern.
If they worked alternately, then either Pipe A could have started the cycle or Pipe B could have started the cycle.
If Pipe A started the sequence of filling alternately, then at the end of two hours, the two pipes together would have filled 1/40 + 1/120 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.
If Pipe B started the sequence, then at the end of 2 hours, the two pipes together would have filled 1/120 + 1/40 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.
As the answer obtained irrespective of which pipe started the sequence is the same, the correct answer is (3) - i.e., both the statement are sufficient to answer the question.
- 4. What is the value of KL ? Statement A: K2 = 4. Statement B: L = 0.
Options- A. Only A is sufficient
- B. Only B is sufficient
- C. Both (A) and (B) are sufficient
- D. None of the above Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: Only B is sufficient
Explanation:
From statement B,
As the value of L = 0, the value of KL = 0.
Hence only statement B is sufficient.
- 5. Read both the statements given below and answer the question. Q : Which train did Harish catch to go to office ? Statements : A. Harish missed his usual train of 4.15 p.m. A train comes in every 15 minutes. B. Harish did not catch the 4.45 p.m. train or any train after that time.
Options- A. If statement B alone is sufficient but statement A alone is not sufficient.
- B. If statement A alone is sufficient but statement B alone is not sufficient.
- C. If both statement together are sufficient, but neither statement alone is sufficient.
- D. If statement A and B together are not sufficient. Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: If statement A and B together are not sufficient.
Explanation:
From both statements we cannot conclude the train catched by Harish
Since he missed at 4.15 and train coes at 4.30, 4.45, 5.00,...
But in B given that he didn't catch the train at 4.45 and after that.
So both statements A & B together are not sufficient to answer the question.
- 6. Assuming the given statements to be true, find which of the two conclusions A and B given below is/are definitely true. Statements: C < T < L= P > Q, N > C > Y Conclusions: A. P > Y B. Y < P
Options- A. only conclusion B is true.
- B. only conclusion A is true.
- C. neither conclusion I nor II is true.
- D. either conclusion I or II is true. Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: only conclusion B is true.
Explanation:
From given statements, we can conclude that
N > C < T < L= P > Q .....(1)
Here given that C > Y but in eq(1) we got that C < T < T <= P => Y is definitely less than P.
So only conclusion B is True.
- 7. As per the National Forestry Report, 1998 , India must retain a true cover of 33 per cent as against the 19 per cent at present . A budgetary allocation of Rs 850 crore is just a drop in the ocean. Conclusions: I. The forest coverage in a country should be in proportion to its popullation II. Inadequate budgetary allocation comes in the way of enhancing the forest coverage.
Options- A. If only conclusion I follows
- B. If only conclusion II follows
- C. If neither I nor II follows
- D. If both I and II follow Discuss
Correct Answer: If only conclusion II follows
Explanation:
The relation of forest to population can't be derived from the statement. Hence I does not follow. From the second sentence and from the tone of the statement II can be derived. Hence follows.
- 8. Statement 1: Elizabeth has four children. Statement 2: Two of the children have blue eyes and two of the children have brown eyes. Statement 3: Half of the children are girls. If the first three statements are facts, which of the following statements must also be a fact? a. At least one girl has blue eyes. b. Two of the children are boys. c. The boys have brown eyes.
Options- A. a only
- B. a and b
- C. b only
- D. b and c Also asked in: GRE, GATE, CAT, Bank Exams, Bank PO, Bank Clerk
Correct Answer: b only
Explanation:
Since half of the four children are girls, two must be boys. It is not clear which children have blue or brown eyes. So only statement (b) follows.
- 9. Statements : All keys are locks. All locks are bangles. All bangles are cars. Conclusion : a. Some cars are locks. b. Some bangles are keys. c. Some cars are keys.
Options- A. Only a follows
- B. Only c follows
- C. Only a & b follows
- D. a, b & c follows Also asked in: TOEFL, GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: a, b & c follows
Explanation:
All locks are bangles + All bangles are cars = A + A = A
= All locks are cars => Some cars are locks.
Hence conclusion (a) follows.
All keys are locks + All locks are bangles = A + A = A
= All keys are bangles => some bangles are keys.
Hence conclusion (b) follows.
All keys are bangles + All bangles are cars = A + A = A
= All keys are cars => Some cars are keys.
Hence conclusion (C) follows.
Thus all a, b and c follows.
- 10. What is the first term of an arithmetic progression of positive integers ? (I) Sum of the squares of the first and the second term is 116. (II)The fifth term is divisible by 7.
Options- A. Only a is sufficient
- B. Only b is sufficient
- C. Both a & b are necessary
- D. None Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: Only a is sufficient
Explanation:
The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116
again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st term
so the 1st term is 4,
but from the 2nd we cant able to find the 1st term
so only 1st statement is sufficient to answer the question
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