The question asks to identify the Indian state that does not share a border with Nepal. This requires knowledge of the geographical boundaries of Indian states, particularly those in the northern and eastern regions that are adjacent to Nepal.
C) Jharkhand — Jharkhand is located to the south of Bihar and does not share any direct border with Nepal. Its northern border is with Bihar, which separates it from Nepal.
The given series consists of terms, each having an alphabet and a number. We need to identify the pattern in both the alphabetical and numerical parts separately to find the missing term.
The alphabetical sequence is A, D, G, ?
Thus, the next alphabet in the series is J.
The numerical sequence is 11, 8, 5, ?
Thus, the next number in the series is 2.
Combining the next alphabet (J) and the next number (2), the missing term is J2.
Correct Option: A) J2 is the correct term that follows the established pattern in both the alphabetical and numerical sequences.
To find the area of a rhombus, we can use the formula involving its diagonals. A key property of a rhombus is that its diagonals bisect each other at right angles. This allows us to use the Pythagorean theorem to find the length of the second diagonal if one diagonal and the side length are known.
C) 336 cm² is the correct area of the rhombus.
The question asks to identify one of the six official languages of the United Nations (UN) from the given options. This requires knowledge of the official languages recognized by the UN.
A) Chinese is one of the six official languages of the United United Nations, alongside Arabic, English, French, Russian, and Spanish.
What is the value of \(\sqrt{\frac{1.21\times0.9}{1.1\times0.11}}\)?
To find the value of the given expression, we will first simplify the terms inside the square root by converting decimals to fractions to eliminate decimal points. Then, we will perform the multiplication and division operations before taking the square root.
The given expression is:
\[ \sqrt{\frac{1.21\times0.9}{1.1\times0.11}} \]Convert each decimal to a fraction:
Substitute these fractional values back into the square root expression:
\[ \sqrt{\frac{\frac{121}{100} \times \frac{9}{10}}{\frac{11}{10} \times \frac{11}{100}}} \]Numerator:
\[ \frac{121}{100} \times \frac{9}{10} = \frac{121 \times 9}{100 \times 10} = \frac{1089}{1000} \]Denominator:
\[ \frac{11}{10} \times \frac{11}{100} = \frac{11 \times 11}{10 \times 100} = \frac{121}{1000} \]Now, divide the simplified numerator by the simplified denominator:
\[ \frac{\frac{1089}{1000}}{\frac{121}{1000}} = \frac{1089}{1000} \times \frac{1000}{121} = \frac{1089}{121} \]Divide 1089 by 121:
\[ \frac{1089}{121} = 9 \]This is because \(121 \times 9 = 1089\).
Finally, take the square root of the simplified value:
\[ \sqrt{9} = 3 \]B) The calculated value of the expression is 3.
The question asks to identify which of the given options is NOT a part of the human eye. This requires knowledge of the anatomy of both the human eye and the human ear to distinguish between their components.
Correct Option: C) Cochlea is a part of the inner ear, responsible for hearing, and not a component of the human eye.
The question asks to identify an example of non-volatile memory from the given options. Non-volatile memory retains its stored information even when not powered. We need to evaluate each option based on this definition.
Correct Option: C) ROM is a classic example of non-volatile memory, as it retains its data even without power.
The question asks to identify the specific functional unit within the kidneys responsible for removing soluble nitrogen compounds (excretory products) from the human body. This requires knowledge of the human excretory system and the functions of its components.
D) nephrons — Nephrons are the fundamental structural and functional units of the kidney. They are responsible for filtering blood, reabsorbing necessary substances, and excreting waste products, including soluble nitrogen compounds like urea, in the form of urine.
This is a blood relation problem. We need to deduce the relationship between Raj and Sohan based on the given statement. We can break down the statement into smaller parts and identify the relationships step by step.
Correct Option: D) Father
If Raj is Sohan's younger sister's father, then Raj must also be Sohan's father.
If A, B and C can complete a task alone in 15 days, 20 days and 25 days, respectively, then in how many days can they complete the same task if they work together?
\( \frac{300}{47} \)
\( \frac{150}{47} \)
\( \frac{225}{47} \)
\( \frac{75}{47} \)
To solve this problem, we need to determine the individual work rates of A, B, and C. The work rate is the reciprocal of the time taken to complete the task. Once we have their individual work rates, we can add them to find their combined work rate when working together. The reciprocal of the combined work rate will give us the total time taken to complete the task together.
If A can complete the task in 15 days, A's one day's work (work rate) is:
\[ \text{A's work rate} = \frac{1}{15} \text{ of the task per day} \]If B can complete the task in 20 days, B's one day's work (work rate) is:
\[ \text{B's work rate} = \frac{1}{20} \text{ of the task per day} \]If C can complete the task in 25 days, C's one day's work (work rate) is:
\[ \text{C's work rate} = \frac{1}{25} \text{ of the task per day} \]When A, B, and C work together, their combined one day's work is the sum of their individual work rates:
\[ \text{Combined work rate} = \frac{1}{15} + \frac{1}{20} + \frac{1}{25} \]To add these fractions, find the Least Common Multiple (LCM) of 15, 20, and 25.
Prime factorization:
LCM \(= 2^2 \times 3 \times 5^2 = 4 \times 3 \times 25 = 12 \times 25 = 300\).
Now, express each fraction with the common denominator 300:
\[ \frac{1}{15} = \frac{1 \times 20}{15 \times 20} = \frac{20}{300} \]\[ \frac{1}{20} = \frac{1 \times 15}{20 \times 15} = \frac{15}{300} \]\[ \frac{1}{25} = \frac{1 \times 12}{25 \times 12} = \frac{12}{300} \]Add the fractions:
\[ \text{Combined work rate} = \frac{20}{300} + \frac{15}{300} + \frac{12}{300} = \frac{20 + 15 + 12}{300} = \frac{47}{300} \text{ of the task per day} \]The total time taken to complete the task when working together is the reciprocal of their combined work rate:
\[ \text{Time taken} = \frac{1}{\text{Combined work rate}} = \frac{1}{\frac{47}{300}} = \frac{300}{47} \text{ days} \]A) \( \frac{300}{47} \). This matches our calculated time for A, B, and C to complete the task together.