This question tests knowledge of chemical reactions, specifically the reaction between a metal oxide and an acid, and the properties (color) of the product formed.
Correct Option: D) A solution with blue-green colour is formed due to the formation of copper (II) chloride.
The question asks to identify the river on whose banks the Sangameshwara Temple is located, given its submergence due to the Srisailam project backwaters. This requires knowledge of the geographical location of the Srisailam project and the associated rivers.
C) Krishna — The Srisailam project is built on the Krishna River. The Sangameshwara Temple is located at the confluence of the Krishna and Bhavanasini rivers, and its submergence is directly linked to the backwaters of the Srisailam Dam on the Krishna River.
Study the given graph and answer the question that follows.
The graph shows the number of students involved in different after-school activities.
What is the average number of students participating in Sports and Yoga?
To find the average number of students participating in Sports and Yoga, we need to add the number of students in each activity and then divide by the number of activities.
Thus, the average number of students participating in Sports and Yoga is 20.
Correct Option: B) 20
This question tests fundamental knowledge about the classification of mixtures based on particle size. Solutions, colloids, and suspensions are distinguished by the diameter of the dispersed particles within them.
Correct Option: A) smaller than 1 nm in diameter
This is the correct definition for the particle size of a true solution. Particles in a true solution are typically individual atoms, ions, or small molecules, which have diameters less than 1 nm.
The relation between focal length 'f', object distance 'u' and image distance 'v' in the case of reflection of light by a spherical mirror is given by ________.
\(\frac{1}{f}=\frac{uv}{u+v}\)
\(\frac{1}{f}=\frac{1}{u}+\frac{1}{v}\)
\(\frac{1}{f}=\frac{1}{u}-\frac{1}{v}\)
\(\frac{1}{f}=\frac{1}{v}-\frac{1}{u}\)
The question asks for the mirror formula, which establishes the relationship between the focal length (\(f\)), object distance (\(u\)), and image distance (\(v\)) for spherical mirrors (concave or convex).
Correct Option: B) The relation \[\frac{1}{f}=\frac{1}{u}+\frac{1}{v}\] is the universally accepted mirror formula for spherical mirrors.
This problem involves setting up a system of linear equations based on the given age relationships and then solving for the required sum of ages. We will assign variables to each person's age and translate the given statements into algebraic equations.
Our goal is to find \(A_m + A_r\). Let's express all ages in terms of one variable, say \(A_r\).
Using Equation 1:
\[ A_m = A_r + 2 = 26 + 2 = 28 \text{ years} \]Correct Option: A) 54
Simplify the following expression:
(a + 2b − c)(b − c) + (a − c)2b + b²
3b² + 3ab − 5bc − ac
2b² + 3ab − 4bc + c
3ab − 5bc − ac − 2abc
3b² + c² + 3ab − 5bc − ac
To simplify the given algebraic expression, we will expand each product term using the distributive property, combine like terms, and then simplify the entire expression.
D) \(3b^2 + c^2 + 3ab - 5bc - ac\) is the correct simplified expression, matching our step-by-step calculation.
The problem asks us to identify the letter-cluster that does not follow the same pattern as the others, based on English alphabetical order. We need to find the relationship between the letters within each cluster.
Correct Option: B) BHF is the letter-cluster that does not belong to the group because its pattern is \((+6, -2)\) while the others follow \((+6, -3)\).
The problem presents a series of numbers, and we need to find the next number in the sequence. We will analyze the differences between consecutive terms to identify a pattern.
The differences form an alternating pattern: \(58, 33, 58, 33, 58, \dots\)
Following the pattern, the next difference should be \(33\).
Add the next difference (\(33\)) to the last given term (\(424\)):
\[ 424 + 33 = 457 \]Therefore, the number that replaces the question mark is \(457\).
B) 457 is the correct answer because it follows the established alternating difference pattern of \(+58, +33, +58, +33, +58, +33\).
This is a blood relation question where symbols represent relationships. We need to decode the given expression 'P + Q − R × S ÷ T' step-by-step to determine the relationship between Q and T.
From the above, Q and R are siblings. R is the wife of S. S is the father of T. This means R is the mother of T (since S is the father and R is his wife). Therefore, Q is the brother of R, and R is the mother of T. This makes Q the mother's brother of T.
D) Mother's brother. As derived, Q is the brother of R, and R is the mother of T. Thus, Q is T's mother's brother.