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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
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Directions: 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 the best possible answer.Find the percentage profit earned by shopkeeper.Statement I: The marked price of an article is 20% above the cost price of an article.Statement II: The percentage discount offered on article is 5% and selling price of an article is Rs.1141.If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2.If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5.If the data in both statements I and II together are needed to answer the question. |
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Answer» Correct Answer - Option 5 : If the data in both statements I and II together are needed to answer the question. From statement II Selling price of an article = Rs.114 Marked price of an article = 114 × 100/95 = Rs.120 From statement I Cost price of an article = 120 × 100/120 = Rs.100 Profit earned = 114 - 100 = Rs.14 Percentage profit = (14/100) × 100 = 14% ∴ the data in both statements I and II together are needed to answer the question. |
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Directions: 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 the best possible answer.Find the ratio between the water and milk in the resultant mixture.Statement I: The concentration of milk in two mixtures I and II is 70% and 80% respectively.Statement II: The ratio of quantity of mixture I and II is 2 :1.1.If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2.If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3.If the data either in statement I alone or in statement II alone is sufficient to answer the question.4.If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question. |
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Answer» Correct Answer - Option 5 : If the data in both statements I and II together are needed to answer the question. From statement I and II Let quantity of two mixtures be 2a litres and a litres respectively. Quantity of milk in resultant mixture = 2a × 70/100 + a × 80/100 = 11a/5 litres Quantity of water in resultant mixture = 3a - 11a/5 = 4a/5 litres Ratio between the water and milk in the resultant mixture = (4a/5) : (11a/5) = 4 : 11. ∴ the data in both statements I and II together are needed to answer the question. |
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Directions: 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 the best possible answer.Find the curved surface area of cone.Statement I: The difference between the radius of cone and height of cone is 1 cm.Statement II: The volume of cone is 2940π cubic.cm1.If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2.If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3.If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5.If the data in both statements I and II together are needed to answer the question. |
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Answer» Correct Answer - Option 5 : If the data in both statements I and II together are needed to answer the question. Let r = radius of cone, h = height of cone and l = slant height Volume of cone = (πr2h)/3 Curved surface area of cone = πrl From statement I r - h = 1 From statement II 2940π = (πr2h)/3 8820 = r2h Solving, we can get radius and height of cone. We can find the surface area of cone. ∴ the data in both statements I and II together are needed to answer the question. |
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Directions: 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 the best possible answer.Find the perimeter of the rhombus.Statement I: Area of the rhombus is 336 cm2Statement II: The ratio of the two diagonals is 7∶ 24 and the difference between the two diagonals is 34 cm1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question. |
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Answer» Correct Answer - Option 2 : If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Given: Statement I: Area of rhombus = 336 cm2 Statement II: Ratio of two diagonals = 7∶ 24 Difference between the two diagonals = 34 cm Concept used: The two diagonals bisect each other at 90° in a rhombus. Formula used: Perimeter = 4 × (Side of the rhombus) Calculations: Statement II: Let the two diagonals be 7x and 24x Difference between the two diagonals = 24x– 7x = 34 cm ⇒ 17x = 34 cm ⇒ x = 2 cm Diagonals are 14 cm and 48 cm If the two diagonals of rhombus ABCD intersect at O then, ⇒ AO2 + BO2 = AB2 ⇒ (14/2)2 + (48/2)2 = AB2 ⇒ 49 + 576= AB2 ⇒ AB2 = 625 ⇒ AB= 25 cm Perimeter of the rhombus = 4× 25 ⇒ 100 cm ∴If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. |
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Directions: 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 the best possible answer.What is the average age of parents?Statement I:There are 7 members in a family which includes two grandparents, two parents, and three siblings. Grandfather'sage is 75years and grandmother’s age is 67years. The average age of two siblings is 15 andthe average age of the family is 40 years.Statement II: The third sibling’s age is 4 years more than the average age of the three siblings1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question. |
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Answer» Correct Answer - Option 5 : If the data in both statements I and II together are needed to answer the question. Given: Statement I: Grandfather’s age = 75 Grandmother’s age = 67 Average age of two sibling = 15 Average age of family = 40 Statement II:Age of third sibling = 4 + Average age of all three siblings Formula used: Average age = Sum of ages of all persons/ Number of persons Calculations: Statement I: Let the average age of parents be ‘p’ and the age of third sibling be 't' Sum of age of two siblings = 15 × 2 = 30 Average age of family = 40 = (75 + 67+ 30 + t + 2p)/7 ⇒ 172+ t + 2p= 280 ⇒ t + 2p= 108 ----(i) Statement II: Let the average age of three siblings be 'x' Age of third sibling = x + 4 ⇒ [30 + (x +4)]/3 = x ⇒ 30 + x + 4 = 3x ⇒ 2x =34 ⇒ x = 17 Age of third sibling = t = 21 years Substituting the value of t in (i), ⇒ 21 + 2p = 108 ⇒ 2p = 87 ⇒ p = 43.5 years ∴If the data in both statements I and II together are needed to answer the question. |
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