Subject
Quantitative Aptitude
Topic
Data Sufficiency
Directions: Below question is followed by two statements labelled I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:
What is last two non-zero digits ofnCrI. n = r + 2
II. r = 25% of (30 - 40% of 25)
Directions: Below question is followed by two statements labelled I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below: What is last two non-zero digits ofnCrI. n = r + 2 II. r = 25% of (30 - 40% of 25)
ক)
Statement I alone is sufficient to answer the question.খ)
Statement II alone is sufficient to answer the question.গ)
Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.ঘ)
Either Statement I or Statement I alone is sufficient to answer the question.ঙ)
Neither Statement I nor Statement II is sufficient to answer the question.Explanation
Given, n = r + 2 ⇒ n C r = (r+2) C r = No comprehensive answer can be derived from this expression. Hence, statement I is insufficient to solve the question. From statement II: r = 25% of (30 - 40% of 25) We use BODMAS to solve certain parts of the question to get a simplified form. BODMAS stands for: B – Brackets O – Of (this simply stands for multiplication) D – Division M – Multiplication A – Addition S – Subtraction The above is the standard order in which a given question is simplified. On the RHS, we have 25% of (30 - 40% of 25) As per the BODMAS, we solve the expression in the brackets first. ⇒30 - 40% of 25 Even within the bracket, we found an “OF”. Since there are no other brackets inside the bracket, we solve this part first. 40% of 25 = ⇒ 30 – 10 = 20 Hence, 25% of 20 = Hence, r = 5. Although the value of r has been found, the last two non-zero digits have not been found. Hence, statement II is insufficient to solve this question. Combining the two by substituting the value of r in We have Hence, the two non-zero digits are 1 and 2. Hence, both the statements combined can give you the solution.Related questions
Directions: Below Question is followed by two statements A and B. You are to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
6 friends went market to buy clothes. They decided that A will pay for all dresses and others will share their expenses later. If total expense was Rs. 60, 000. What is the expense of C?
A. Total of the expenses of A and E is Rs. 25, 000.
B. Total of the expenses of B and F is Rs. 15, 600.Direction: Below question consists a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question Read both the statement and Give answer.
What is the ratio of the number of fresher to that of seniors in a college?
I. The ratio of males and females in the college is 2:3
II. There are 1125 female freshers in the collegeDirections: Below question consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the question and both the statements and give answer.
Is x greater than y?
I. x is greater than 200.
II. y is greater than 190.Direction: In the following question, a questions is followed by information given in three statements. You have to study the question along with the statements and decide, the information given in which of the statements (s) is necessary to answer the question.
What is the area of the square?
I. Measure of diagonal of the square is given.
II. Measure of one side of square is given.
III. Perimeter of the square is given.Direction:- Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data your knowledge of Mathematics to choose between the possible answers
What is the two digit number in which unit’s place digit is greater than digit at ten’s place?
I. The difference between the two digits of the number is 2
II. The sum of the two digits of the number is 8Directions: Below question consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the question and both the statements and give answer.
What is the salary of X?
I. He spends 13% on insurance premium, 5% on medicines and 14% on rest expenses.
II. Even after spending of 32% of his salary, he is able to save Rs.4080Direction: In the following question, a questions is followed by information given in three statements. You have to study the question along with the statements and decide, the information given in which of the statements (s) is necessary to answer the question.
In how many days can 16 men and 8 women together complete the piece of work?
I. 8 men complete the piece of work in 10 days.
II. 16 women complete the piece of work in 10 days.
III. 5 women take 32 days to complete the piece of work.Direction:- Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers
What is the profit earned by selling a calculator for Rs. 2575?
I. The cost price of 5 such calculators is equal to selling price of 4 such calculators.
II. 25% profit is earned by selling each calculator.