The question asks to identify the strait that connects the Arctic Ocean to the Pacific Ocean. This requires knowledge of major straits and their geographical locations and the bodies of water they connect.
Correct Option: C) Bering Strait
The question asks how a computer on the Internet is uniquely identified. We need to consider the fundamental addressing mechanism used for devices connected to a network like the Internet.
Correct Option: D) An IP address is the unique numerical label assigned to each device participating in a computer network that uses the Internet Protocol for communication. It is essential for identifying and locating computers on the Internet, enabling data to be sent to and received from them.
This is a blood relation question. To solve such problems, we break down the statement into smaller parts and identify the relationships step-by-step, starting from the end of the statement or from the speaker's perspective.
Correct Option: A) Mother's Father. Raj defeated his mother's father, which is his maternal grandfather.
The question asks to identify the drainage pattern that resembles a dome-like structure. We need to understand the characteristics of each drainage pattern listed in the options to determine which one fits this description.
D) Radial — This pattern is characterized by streams flowing outwards from a central elevated point, such as a dome, volcano, or conical hill. This perfectly describes the drainage on a dome-like structure.
The problem presents a series of alphanumeric codes. We need to identify the pattern in the letters and numbers separately to find the missing term.
Based on the analysis, the missing term is E3H7.
A) E3H7 is the correct option as it matches the patterns identified for all components of the series.
The question asks us to identify the option that does NOT belong to a group formed by the other three options. This is a classification-based reasoning question where we need to find a common characteristic among three options and then identify the one that lacks that characteristic.
Correct Option: B) Ostrich — The Ostrich is a large, flightless bird, distinguishing it from the Eagle, Kite, and Vulture, all of which are capable of flight.
This problem involves the relationship between two numbers, their ratio, their Highest Common Factor (HCF), and their Least Common Multiple (LCM). A fundamental property states that for any two positive integers, the product of the numbers is equal to the product of their HCF and LCM. We will use this property along with the given ratio to find the numbers and then their LCM.
Represent the numbers:
Given that the ratio of two numbers is 7 : 5, we can represent the numbers as \(7x\) and \(5x\), where \(x\) is a common factor.
Identify the HCF:
The HCF of \(7x\) and \(5x\) is \(x\), because 7 and 5 are co-prime (they have no common factors other than 1).
We are given that the HCF is 3. Therefore, \(x = 3\).
Find the actual numbers:
Substitute \(x = 3\) back into our representations:
First number \( = 7x = 7 \times 3 = 21\)
Second number \( = 5x = 5 \times 3 = 15\)
Use the HCF-LCM property:
For any two numbers \(A\) and \(B\), the product of the numbers is equal to the product of their HCF and LCM:
\[ A \times B = \text{HCF}(A, B) \times \text{LCM}(A, B) \]
Substitute the values we have:
\[ 21 \times 15 = 3 \times \text{LCM} \]
Calculate the LCM:
\[ 315 = 3 \times \text{LCM} \]
\[ \text{LCM} = \frac{315}{3} \]
\[ \text{LCM} = 105 \]
C) 105 is the correct LCM of the two numbers.
The question asks to identify an 'Earth Observation Satellite' from the given options. This requires knowledge of the primary functions of various Indian satellites.
A) SARAL — SARAL (Satellite with Argos and AltiKa) is an Indo-French joint mission for oceanographic studies, specifically designed to measure ocean surface height and currents, making it an Earth Observation Satellite.
If \(\frac{7+2\sqrt{5}}{11+3\sqrt{5}}\) = a + b\(\sqrt{5}\), then:
a = 1; b = \(\sqrt{5}\)
a = \(\sqrt{5}\); b = 1
a = \( \frac{1}{16} \); b = \( \frac{47}{76} \)
a = \( \frac{47}{76} \); b = \( \frac{1}{76} \)
To solve this problem, we need to rationalize the denominator of the given expression \(\frac{7+2\sqrt{5}}{11+3\sqrt{5}}\) by multiplying both the numerator and the denominator by the conjugate of the denominator. After rationalizing, we will equate the resulting expression to \(a + b\sqrt{5}\) and compare the rational and irrational parts to find the values of \(a\) and \(b\).
The given expression is:
\[ \frac{7+2\sqrt{5}}{11+3\sqrt{5}} \]The conjugate of the denominator \(11+3\sqrt{5}\) is \(11-3\sqrt{5}\). Multiply the numerator and denominator by this conjugate:
\[ \frac{7+2\sqrt{5}}{11+3\sqrt{5}} \times \frac{11-3\sqrt{5}}{11-3\sqrt{5}} \]Expand the numerator:
\[ (7+2\sqrt{5})(11-3\sqrt{5}) = 7(11) - 7(3\sqrt{5}) + 2\sqrt{5}(11) - 2\sqrt{5}(3\sqrt{5}) \]Expand the denominator using the identity \((x+y)(x-y) = x^2 - y^2\):
\[ (11+3\sqrt{5})(11-3\sqrt{5}) = (11)^2 - (3\sqrt{5})^2 \]Now, substitute the expanded numerator and denominator back into the expression:
\[ \frac{47 + \sqrt{5}}{76} \]Separate the terms to match the form \(a + b\sqrt{5}\):
\[ \frac{47}{76} + \frac{1}{76}\sqrt{5} \]Comparing this with \(a + b\sqrt{5}\), we get:
\[ a = \frac{47}{76} \]Correct Option: D) a = \( \frac{47}{76} \); b = \( \frac{1}{76} \)
The question asks for the specific dates when the Right to Information (RTI) Act was passed by the Indian Parliament and when it received Presidential assent. This requires recalling key historical legislative dates related to the RTI Act.
Correct Option: C) May 2005, June 2005
The RTI Act was passed by the Indian Parliament in May 2005 and received Presidential assent in June 2005.