This is a coding-decoding problem where we need to find the code for a specific word by comparing common words and their corresponding codes across different statements.
Correct Option: C) mr
To find the person with the highest marks, we need to establish a hierarchical order of marks based on the given statements. We will use inequality signs to represent the relationships between the marks of different individuals.
Correct Option: C) Arya has achieved the highest marks in the examination.
The question asks to identify the jelly-like substance found between the nucleus and the cell membrane in a cell. This is a fundamental concept in cell biology.
B) Cytoplasm: The cytoplasm is the jelly-like substance that fills the cell, enclosed by the cell membrane, and surrounds the nucleus. It is where most cellular activities, such as metabolic reactions, take place, and it contains various organelles.
The axis of the earth is inclined to the plane of ecliptic at an angle of:
68 \( \frac{1}{2} \) degrees
73 \( \frac{3}{4} \)degrees
62 \( \frac{1}{2} \) degrees
66 \( \frac{1}{2} \) degrees
This question tests knowledge about the Earth's axial tilt, a fundamental concept in geography and astronomy that explains seasons and variations in daylight hours. The Earth's axis is not perpendicular to its orbital plane (the plane of the ecliptic) but is tilted at a specific angle.
Correct Option: D) The axis of the earth is inclined to the plane of ecliptic at an angle of \(66 \frac{1}{2}\) degrees. This is derived from the axial tilt of \(23 \frac{1}{2}\) degrees relative to the perpendicular to the orbital plane. The sum of the axial tilt and the angle with the ecliptic plane is \(90^\circ\).
To find the number of integers divisible by 7 between 100 and 300, we need to identify the first and last multiples of 7 within this range. Once these are found, we can use the formula for the number of terms in an arithmetic progression.
Therefore, there are 28 numbers between 100 and 300 that are divisible by 7.
B) 28 is the correct answer, as calculated.
This question is based on coding and decoding using alphabetical positions and letter shifting. We need to identify how VMBHL is coded as VQJTB and apply the same rule to KTSPR. The coding process involves reversing the given word and then shifting its letters forward by 10, 9, 8, 7, and 6 positions respectively. If a shift goes beyond Z, the counting continues from A.
The English alphabet contains 26 letters, with A occupying Position 1 and Z occupying Position 26.
When a letter is shifted beyond Z, counting continues from A.
For example:
The given word is VMBHL.
Reverse the order of its letters:
VMBHL → LHBMV
The alphabetical positions of the reversed letters are:
Shift the five reversed letters forward by 10, 9, 8, 7, and 6 positions respectively.
Combining the resulting letters:
VQJTB
Therefore, VMBHL is coded as VQJTB, matching the given example.
The word to be coded is KTSPR.
Reverse its letters:
KTSPR → RPSTK
The alphabetical positions are:
Use the same sequence of shifts: +10, +9, +8, +7, and +6.
Combining the resulting letters:
BYAAQ
For VMBHL:
VMBHL → LHBMV → VQJTB
For KTSPR:
KTSPR → RPSTK → BYAAQ
The same reversal and decreasing forward-shift rule works for both words.
Therefore, option A is correct.
Correct Option: A) BYAAQ
The word KTSPR is first reversed to RPSTK. The letters are then shifted forward by 10, 9, 8, 7, and 6 positions respectively. These shifts produce B, Y, A, A, and Q. Therefore, KTSPR is coded as BYAAQ, making option A correct.
The problem involves calculating Hema's total salary based on a series of decisions about donation. We need to first determine the amount Hema initially decided to donate, and then use this amount to find her total salary.
Let Hema's total salary be \(S\).
Initially, Hema decided to donate 15% of her salary. So, the initially decided donation amount is:
\[ \text{Initial Donation} = 0.15 \times S \]On the day of donation, she changed her mind and donated ₹4,500. This amount (₹4,500) is 125% of what she had decided earlier.
So, we can set up the equation:
\[ \text{Actual Donation} = 125\% \text{ of Initial Donation} \]\[ 4500 = 1.25 \times (0.15 \times S) \]Now, we solve for \(S\):
\[ 4500 = 1.25 \times 0.15 \times S \]\[ 4500 = 0.1875 \times S \]To find \(S\), divide 4500 by 0.1875:
\[ S = \frac{4500}{0.1875} \]\[ S = 24000 \]Therefore, Hema's salary is ₹24,000.
B) ₹24,000 is the correct answer. This is derived by setting up the relationship between the actual donation, the percentage of the initial decided donation, and the initial decided donation as a percentage of the total salary.
To answer this question, one needs to recall the geographical boundaries of India and identify which of the given countries shares a land border with India and which does not.
Correct Option: D) Tajikistan does NOT share its land boundary with India.
The question asks to identify the protocol or service that allows a user to remotely access another computer or terminal over the Internet. We need to evaluate each option based on its primary function.
Correct Option: C) Telnet enables a user to remotely access another computer and terminals over the Internet. It provides a command-line interface to the remote machine.
The length of the string between a kite and a point on the ground, without any slack, is 102 m. If the string makes an angle α with the level ground such that tanα = \( \frac{15}{8} \), how high is the kite?
This problem can be solved using basic trigonometry. We are given the length of the string (hypotenuse) and the tangent of the angle the string makes with the ground. We need to find the height of the kite (opposite side). We can use the relationship between tangent, sine, and cosine to find the sine of the angle, and then use the sine function to calculate the height.
Let \(h\) be the height of the kite from the ground, and \(L\) be the length of the string. We are given \(L = 102 \text{ m}\).
Let \(\alpha\) be the angle the string makes with the level ground. We are given \( \tan \alpha = \frac{15}{8} \).
We know that in a right-angled triangle, \[\tan \alpha = \frac{\text{Opposite}}{\text{Adjacent}}\]. If we consider a right-angled triangle where the opposite side is 15 units and the adjacent side is 8 units, we can find the hypotenuse using the Pythagorean theorem:
\[ \text{Hypotenuse}^2 = \text{Opposite}^2 + \text{Adjacent}^2 \]\[ \text{Hypotenuse}^2 = 15^2 + 8^2 \]\[ \text{Hypotenuse}^2 = 225 + 64 \]\[ \text{Hypotenuse}^2 = 289 \]\[ \text{Hypotenuse} = \sqrt{289} = 17 \]Now we can find \(\sin \alpha\). In a right-angled triangle, \[\sin \alpha = \frac{\text{Opposite}}{\text{Hypotenuse}}\].
\[ \sin \alpha = \frac{15}{17} \]The height of the kite \(h\) is the opposite side to the angle \(\alpha\) in the right-angled triangle formed by the kite, the point on the ground, and the point directly below the kite on the ground. The length of the string \(L\) is the hypotenuse.
\[ \sin \alpha = \frac{h}{L} \]Substitute the values we found for \(\sin \alpha\) and the given \(L\):
\[ \frac{15}{17} = \frac{h}{102} \]Solve for \(h\):
\[ h = \frac{15}{17} \times 102 \]\[ h = 15 \times \frac{102}{17} \]\[ h = 15 \times 6 \]\[ h = 90 \text{ m} \]B) 90 m is the correct height of the kite.