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- Question
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
- Correct Answer
- Only a is sufficient
ExplanationThe 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 termso only 1st statement is sufficient to answer the question
- 1. 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 Discuss
- 2. 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 Discuss
- 3. 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
- 4. 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. Discuss
- 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. Discuss
- 6. 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
Options- A. only A alone is sufficient
- B. only B alone is sufficient
- C. both A and B are required
- D. Cannot be answered Discuss
- 7. National Aluminium Company has moved Georgia from a position of shortage to self-sufficiency in the metal. Conclusions: 1. Previously, Georgia had to import aluminium 2. With this speed, it can soon become a foreign exchange earner
Options- A. Only 1 follows
- B. Only 2 follows
- C. Either 1 or 2 follows
- D. Both 1 and 2 follow Discuss
- 8. If the gifts are passed on, the whole purpose of the gift is defeated. Therefore, the gift should be one that is useful and at the same time it attracts you, appeals to you and you retain it. Conclusions : I. If gifts are retained , their utility increases. II. Gifts are not meant for repeated change of hands.
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
- 9. 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.
Options- 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 Discuss
- 10. 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: How is Vinitha related to Ragini ? Statements: a. Vinitha's husband is the only son of Ragini's mother. b. Vinitha's brother and Ragini's husband are cousins.
Options- A. Neither a nor b is sufficient
- B. Either a or b is sufficient
- C. Both a & b are sufficient
- D. a alone is sufficient while b alone is not sufficient Discuss
Statement and Conclusion problems
Search Results
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.
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.
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.
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.
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.
Correct Answer: 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.
Correct Answer: Both 1 and 2 follow
Explanation:
According to the statement, National Aluminium Company has moved Georgia from a position of shortage in the past to self-sufficiency in the present. This means that previously, Georgia had to import aluminium. So, I follows. Also, it can be deduced that if production increases at the same rate, Georgia can export it in future. So, II also follows.
Correct Answer: If only conclusion II follows
Explanation:
I is not hinted at. It is an invention of the concluder's mind. II follows because if "the whole purpose of something is defeated", it loses its meaning.
Correct Answer: 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.
Correct Answer: Either a or b is sufficient
Explanation:
From a, we conclude that Vinitha is the wife of Ragini's mother's only son i.e. Ragini's brother. Thus, Vinitha is Ragini's sister-in-law.
From b, we conclude that Vinitha is the cousin of Ragini's husband, which implies that Vinitha is Ragini's sister-in-law.
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