The question asks to identify the Chola king responsible for building the Brihadeshwara Temple. This is a direct factual question related to Indian history, specifically the Chola dynasty and its architectural achievements.
D) Raja Raja Chola I was the Chola emperor who commissioned and oversaw the construction of the magnificent Brihadeshwara Temple in Thanjavur, a landmark achievement of Chola architecture.
The reciprocal of 1\( \frac{2}{3} \) is
2\( \frac{2}{3} \)
\( \frac{3}{5} \)
3\( \frac{1}{2} \)
\( \frac{2}{3} \)
To find the reciprocal of a mixed fraction, first convert the mixed fraction into an improper fraction. Then, find the reciprocal of the improper fraction by inverting it (swapping the numerator and the denominator).
Correct Option: B) \( \frac{3}{5} \)
The question asks to identify the country that was scheduled to host the Men's World Boxing Championship for the first time in 2021. This requires knowledge of major international sporting event hosts.
Correct Option: D) India
India was initially selected to host the Men's World Boxing Championship for the first time in 2021. Although the hosting rights were later moved to Serbia due to administrative reasons, India was the country that was set to host it for the first time as per the original decision for 2021.
The problem asks us to find the second acute angle of a right-angled triangle, given one acute angle. We will use the fundamental property that the sum of all angles in any triangle is 180°.
Correct Option: C) 32°
If the survey data (in cm) of height of 50 girls of class X in a school are as follows. Find the median of their heights.
| Length (in cm) | Number of girls |
| Less than 140 cm | 4 |
| Less than 145 cm | 11 |
| Less than 150 cm | 29 |
| Less than 155 cm | 40 |
| Less than 160 cm | 46 |
| Less than 165 cm | 50 |
To find the median of the heights from the given cumulative frequency distribution (less than type), we first need to construct a frequency distribution table. Then, we identify the median class and apply the formula for the median of grouped data.
The given data is a cumulative frequency distribution of the 'less than' type. We need to convert it into a simple frequency distribution.
| Height (in cm) | Number of girls (Cumulative Frequency, \(cf\)) | Frequency (\(f\)) |
|---|---|---|
| Less than 140 | 4 | 4 |
| Less than 145 | 11 | \(11 - 4 = 7\) |
| Less than 150 | 29 | \(29 - 11 = 18\) |
| Less than 155 | 40 | \(40 - 29 = 11\) |
| Less than 160 | 46 | \(46 - 40 = 6\) |
| Less than 165 | 50 | \(50 - 46 = 4\) |
Now, we can write the class intervals and their frequencies:
| Class Interval (Height in cm) | Frequency (\(f\)) | Cumulative Frequency (\(cf\)) |
|---|---|---|
| 135 - 140 | 4 | 4 |
| 140 - 145 | 7 | 11 |
| 145 - 150 | 18 | 29 |
| 150 - 155 | 11 | 40 |
| 155 - 160 | 6 | 46 |
| 160 - 165 | 4 | 50 |
The total number of girls is \(N = 50\).
\[ \frac{N}{2} = \frac{50}{2} = 25 \]The median class is the class interval whose cumulative frequency is just greater than or equal to \(N/2\). Here, \(N/2 = 25\). Looking at the cumulative frequency column, 29 is the first cumulative frequency greater than 25. Therefore, the median class is 145 - 150.
The formula for the median of grouped data is:
\[ \text{Median} = L + \left( \frac{\frac{N}{2} - cf}{f} \right) \times h \]Correct Option: B) 148.89 cm
What is the next term in the given series?
8P, 16Q, 48S, 192V,?
The given series consists of terms that combine a number and a letter. We need to identify the pattern for both the numerical part and the alphabetical part separately to find the next term.
The numbers in the series are 8, 16, 48, 192.
The pattern for the numerical part is multiplication by consecutive integers starting from 2. So, the next number will be \(192 \times 5\).
\[ 192 \times 5 = 960 \]The letters in the series are P, Q, S, V.
Let's find their positions in the English alphabet:
Now, let's find the difference in their positions:
The pattern for the alphabetical part is that the difference in position increases by 1 each time (1, 2, 3). So, the next difference should be 4. The next letter will be 4 positions after V.
V is the 22nd letter. Adding 4 to its position: \(22 + 4 = 26\).
The 26th letter of the alphabet is Z.
The next number is 960 and the next letter is Z.
Therefore, the next term in the series is 960Z.
Correct Option: D) 960Z
The question asks about the specific bank authorized to sell Electoral Bonds, which were introduced in January 2018. This requires knowledge of the government's notification regarding the implementation of the Electoral Bond scheme.
Correct Option: B) State Bank of India was the only authorized bank to issue and encash Electoral Bonds as per the government's notification when the scheme was launched.
The number of triangles in the above image is:
To determine the number of triangles in the given diagram, we need to systematically count all possible triangles, considering different sizes and orientations formed by the intersecting lines.
Correct Option: D) 17
The question asks to identify the director who received the Dadasaheb Phalke Award for 2016, presented on May 3, 2017, and is known for changing the face of Telugu cinema. This requires knowledge of prominent Indian film personalities and the recipients of the Dadasaheb Phalke Award.
A) Kasinathuni Viswanath — He is a celebrated Indian film director, screenwriter, and actor known for his works primarily in Telugu cinema. He received the Dadasaheb Phalke Award, India's highest honour in cinema, for the year 2016. His films often explored social themes and traditional Indian arts, earning him critical acclaim and a reputation for changing the landscape of Telugu cinema.
We need to calculate the original cost price for the weaver, the selling price for the shopkeeper, and then determine the weaver's profit percentage and the customer's profit if the weaver sold directly to the customer for Rs. 180.
Correct Option: C) 50%, Rs. 15