Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (12.10.2022) Shift-II
Given below are two statements. Statement I: The length of a tree increases at the rate of 5 percent every year on its previous year's length; if it is 2.0 feet now, it will increase by 0.31525 feet in three years. Statement II: A vendor sells an item for Rs. 56 making a profit of 40 percent, so the cost price of the item is Rs. 40. In the light of the above statements, choose the correct answer from the options given below.
- Statement I: A tree of 2.0 feet growing 5 percent a year on its previous length increases by 0.31525 feet in three years.
- Statement II: An item sold for Rs. 56 at a 40 percent profit has a cost price of Rs. 40.
ABoth Statement I and Statement II are true ✓ Correct
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true
Correct answer: (A) Both Statement I and Statement II are true — The answer is that both statements are true.
Explanation
★The answer is that both statements are true.
★Growing 2.0 feet by 5 percent a year gives 2.10, then 2.205, then 2.31525 feet over three years.
★So the increase is 0.31525 feet, making Statement I true.
★For the item, cost price is 100 over 140 times 56.
★That equals 40 rupees, making Statement II true.
★Thus both statements hold.
★So the answer is that both statements are true.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Shared by Mcqkart · via Mcqkart.in