The question asks for the meaning of 'YouthSat'. This is a general knowledge question related to space technology and international collaborations.
Correct Option: B) Satellite
YouthSat is an Indo-Russian joint satellite mission dedicated to studying the Sun's radiation and the Earth's upper atmosphere. It was launched in 2011. The name clearly indicates its nature as a satellite, and the 'Youth' part signifies its aim to involve young scientists and promote space science education.
The question asks to identify the recipient of Japan's 'Fukuoka Prize-2016' for outstanding contribution towards South Asian traditional fusion music. This is a factual recall question related to awards and personalities.
Correct Option: D) A. R. Rahman was awarded the Fukuoka Prize in the Arts and Culture category in 2016 for his contributions to music, which includes South Asian traditional fusion music.
To find the mean (average) of a set of numbers, we need to sum all the numbers in the set and then divide by the total count of numbers in that set.
The mean of the given distribution is 112.
Correct Option: D) 112
The question asks us to evaluate an assertion (A) and a reason (R) related to health in urban versus rural India. We need to determine if both statements are true and if the reason correctly explains the assertion.
Correct Option: D) Both A and R are true and R is the correct explanation of A
The assertion that urban India is sicker despite better healthcare is true due to the prevalence of lifestyle and environmental health hazards. The reason correctly identifies these hazards (pollution, unhygienic waste, fast food culture) as the causes for this increased sickness, thus providing a valid explanation.
Solve for 'a':
\(\frac{7}{a-2}\)= \(\frac{5}{a+4}\)
To solve for 'a' in the given equation, we need to eliminate the denominators by cross-multiplication. Then, we will simplify the resulting linear equation to isolate 'a'.
The given equation is:
\[ \frac{7}{a-2} = \frac{5}{a+4} \]Perform cross-multiplication. Multiply the numerator of the left side by the denominator of the right side, and the numerator of the right side by the denominator of the left side:
\[ 7(a+4) = 5(a-2) \]Distribute the numbers on both sides of the equation:
\[ 7a + 7 \times 4 = 5a - 5 \times 2 \] \[ 7a + 28 = 5a - 10 \]Gather all terms containing 'a' on one side of the equation and constant terms on the other side. Subtract \(5a\) from both sides:
\[ 7a - 5a + 28 = -10 \] \[ 2a + 28 = -10 \]Subtract \(28\) from both sides:
\[ 2a = -10 - 28 \] \[ 2a = -38 \]Divide both sides by \(2\) to solve for 'a':
\[ a = \frac{-38}{2} \] \[ a = -19 \]Correct Option: A) -19
This is a statement and conclusion type of question. We need to analyze the given statement and determine which of the conclusions logically follows from it, without introducing any outside information or assumptions.
C) Neither I nor II follows
The given series is an alternating series, meaning it consists of two interleaved sub-series. We need to identify these two patterns and find the missing term.
Correct Option: C) 20 is the number that replaces (?) in the series, as it follows the pattern of the first sub-series (multiples of 4).
To find the fourth proportional to three given numbers, we set up a proportion where the ratio of the first two numbers is equal to the ratio of the third number to the unknown fourth number. We then solve for the unknown.
Let the three given numbers be \(a = 15\), \(b = 12\), and \(c = 20\).
Let the fourth proportional be \(x\).
According to the definition of proportion, if \(a, b, c,\) and \(x\) are in proportion, then:
\[ \frac{a}{b} = \frac{c}{x} \]Substitute the given values into the proportion:
\[ \frac{15}{12} = \frac{20}{x} \]To solve for \(x\), we can cross-multiply:
\[ 15 \times x = 12 \times 20 \] \[ 15x = 240 \]Now, divide both sides by 15:
\[ x = \frac{240}{15} \] \[ x = 16 \]Thus, the fourth proportional to 15, 12, and 20 is 16.
Correct Option: D) 16
The question asks to identify the recipient of the Dronacharya Award 2016 for Gymnastics. This requires knowledge of the Dronacharya Award recipients for that specific year and sport.
Correct Option: D) Bishweshwar Nandi — Bishweshwar Nandi received the Dronacharya Award in 2016 for his exceptional coaching in Gymnastics. He is widely recognized for coaching Dipa Karmakar, India's first female gymnast to compete in the Olympics.
Rearrange the jumbled letters to make a meaningful English word and then select the one which is different.
The problem requires us to first unscramble the given jumbled letters into meaningful English words. Once all words are formed, we need to identify the word that is different from the others based on a common category or theme.
B) AEVLTR unscrambles to TRAVEL. While Biology, Chemistry, and Physics are branches of science, Travel is an activity, making it the odd one out.