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Question : The sum of two positive numbers is 240 and their HCF is 15. Find the number of pairs of numbers satisfying the given condition.
Option 1: 5
Option 2: 2
Option 3: 8
Option 4: 4
Correct Answer: 4
Solution : Given: The sum of two positive numbers is 240 and their HCF is 15. Let $x$ and $y$ be two coprime then the numbers are $15x$ and $15y$. According to the question, $15x+15y=240$ ⇒ $x+y=16$ The number of pairs of numbers satisfying the given condition
Question : Which of the following organizations is in charge of putting technical education laws and regulations into practise?
Option 1: National Council of Educational Research and Training (NCERT)
Option 2: University Grants Commission (UGC)
Option 3: All India Council of Technical Education (AICTE)
Option 4: Indian Council of Medical Research (ICMR)
Correct Answer: All India Council of Technical Education (AICTE)
Solution : As a top-level advisory body at the national level, AICTE was established in November 1945. Its objectives were to survey the facilities offered for technical education and to advance coordinated, comprehensive national development. Hence option c is the correct
Question : In the functional classification of urban settlements, a city that serves as a primary center for political and administrative activities is known as a:
Option 1: Capital city
Option 2: Industrial city
Option 3: Port city
Option 4: University city
Correct Answer: Capital city
Solution : Correct Option: Option 1 Explanation: A capital city serves as a primary center for political and administrative activities, hosting government buildings and institutions.
Question : Directions: If A ÷ B means that A is the father of B, A – B means that A is the mother of B, and A + B means that A is the brother of B then which of the following expressions shows that P is the mother of R?
Option 1: Q – P + R
Option 2: P – Q + R
Option 3: P – Q ÷ R
Option 4: R + P – Q
Correct Answer: P – Q + R
Solution : Let's check the given options – First option: Q – P + R According to the given expression, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the
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