By selling product for Rs 100, how much profit was earned ? Statements : I. 20% profit would have been earned if it had been sold for Rs 90. II. The profit was one-third of the purchase price.
A :
If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
B :
If the data in statement II alone are sufficient to answer the question,
while the data in statement I alone are not sufficient to answer the
question.
C :
If the data either in statement I alone or in statement II alone are sufficient to answer the question.
D :
If the data even in both the statement I and II together are not sufficient to answer the question.
Answer: C Since selling price is given, so we will have to find cost price for getting profit. Statement I: CP = 100/120 * 90 Statement II : CP + CP/3 = Rs 100.
Q. No. 62:
What is the rate of CI on a sum of money ? Statements :
I. The difference between CI and SI at the same rate of interest for 2 years is Rs 43.20 and SI at the end of 5 years is Rs 3600.
II. The difference between CI and SI at the same rate of interest on Rs 12000 fr 3 years is Rs 132.19.
A :
If the data in statement I alone are sufficient to answer the question,
while the data in statement II alone are not sufficient to answer the
question.
B :
If the data in statement II alone are sufficient to answer the question,
while the data in statement I alone are not sufficient to answer the
question.
C :
If the data either in statement I alone or in statement II alone are sufficient to answer the question.
D :
If the data even in both the statement I and II together are not sufficient to answer the question.
Answer: C Both statements give sufficient information. Hence, we can easily find the required rate of interest using either statement alone.
Q. No. 63:
What is the present age of the mother ? Statements :
I. Father's age is eight years more than the mother's age. Father got married at the age of 28 years.
II. Present age of the father is 30 years. Four years back the ratio of mother's age to father's age was 12:13.
A :
If the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question.
B :
If the data in statement I alone are sufficient to answer the question
while the data in statement II alone are not sufficient to answer the
question.
C :
If the data either in statement I alone or in statement II alone are sufficient to answer the question.
D :
If the data in both the statements I and II together are not sufficient to answer the question.
Answer: A Statement I : Not sufficient alone. Statement II : 12/13 = (M-4)/(30-4) => M = 28 years.
Q. No. 64:
How much minimum marks will be required to pass an examination ? Statements :
I. Student A secured 32% marks in that examination and he failed by 1 mark. Student B secured 36% marks in the same examination and his marks were 1 more than the minimum pass marks.
II. Student A secured 30% of full marks in the examination and he failed by 2 marks. If he had secured 5 more marks his percentage of marks would have been 40%.
A :
If the data in statement II alone are sufficient to answer the question
while the data in statement I alone are not sufficient to answer the
question.
B :
If the data in statement I alone are sufficient to answer the question
while the data in statement II alone are not sufficient to answer the
question.
C :
If the data either in statement I alone or in statement II alone are sufficient to answer the question.
D :
If the data in both the statements I and II together are not sufficient to answer the question.
Answer: C We can make two linear equations using each statement and after solving get the required result.
Q. No. 65:
If Sanjay can paint a house in 15 hours working alone, how long will it take to paint the house if Mohit helps him ? Statements :
I. Mohit can paint the house in 20 hours working alone.
II. Working together with Sanjay, Mohit does 3/7 of the total work.
A :
If both statements I and II together are sufficient to answer the question asked, but neither statement alone is sufficient.
B :
If statement II alone is sufficient but statement I alone is not sufficient to answer the question asked.
C :
If statement I alone is sufficient but statement II alone is not sufficient to answer the question asked.
D :
If each statement is sufficient by itself to answer the question asked.
Answer: D Each statement is sufficient by itself to answer the question, Statement I : Required time = (15*20)/(15+20) = 300/34 hours. Statement II : It also gives the required time as ratio of the efficiencies of Sanjay and Mohit (4:3) is given.
Q. No. 66:
Line PQ is of length 10 cm and the point R divides line PQ. What is the length of PQ ? Statements : I. Length of QR is 5 cm. II. Point R divides line PQ externally.
A :
If statement I alone as well as Statement II alone is sufficient to answer the question asked.
B :
If both the statements I and II are required to answer the question asked.
C :
If any one of the two statements I or II is sufficient to answer the question asked.
D :
If the question cannot be answered even by using both statements together
Answer: B Statement I : since we do not know whether the division is internal or external.Hence alone is not sufficient. Statement II : The point divides the lines externally. Thus, both statements are required to answer the question.