The question asks to identify the cricketer who received the Padma Bhushan award in 2018. This requires knowledge of major civilian awards conferred in India, specifically in the sports category for that particular year.
Correct Option: A) MS Dhoni
MS Dhoni was conferred with the Padma Bhushan, India's third-highest civilian award, in 2018 for his exceptional contributions to cricket.
The question asks for the correct term to describe "air pressure". We need to identify the scientific term that specifically refers to the pressure exerted by the air.
Correct Option: C) Atmospheric Pressure
Atmospheric pressure is the pressure exerted by the weight of the air in the atmosphere of Earth (or another planet). It is a fundamental concept in meteorology and physics, influencing weather patterns and various physical processes.
40 men can complete a piece of work in 6 days. In how many days will 36 men complete the same work?
6\( \frac{2}{3} \)
7\( \frac{2}{3} \)
8\( \frac{3}{4} \)
8\( \frac{2}{3} \)
This is a problem involving work and time, specifically an inverse proportion relationship. If the number of men decreases, the time taken to complete the same work will increase, and vice versa. We can use the formula \(M_1 D_1 = M_2 D_2\), where \(M\) represents the number of men and \(D\) represents the number of days.
The total work done is constant. So, the product of men and days remains the same.
\[ M_1 \times D_1 = M_2 \times D_2 \]Divide both sides by 36:
\[ D_2 = \frac{240}{36} \]Both 240 and 36 are divisible by 12.
\[ D_2 = \frac{240 \div 12}{36 \div 12} = \frac{20}{3} \]Thus, 36 men will complete the same work in \(6 \frac{2}{3}\) days.
Correct Option: A) \(6 \frac{2}{3}\)
The question asks to identify the states for which the National Mission for Clean Ganga (NMCG) approved five 'Namami Gange' programs worth ₹295.01 crore. This is a factual question related to current affairs and government initiatives. The key is to recall the recent approvals by NMCG and the states involved.
Correct Option: A) West Bengal, Uttar Pradesh and Jharkhand are the states for which the National Mission for Clean Ganga (NMCG) approved five 'Namami Gange' programs worth ₹295.01 crore. This information is based on recent official announcements regarding the 'Namami Gange' program.
The question asks to identify the first Indian recipient of the Nobel Prize. This requires knowledge of the history of Nobel laureates from India.
Correct Option: A) Rabindranath Tagore was the first Indian to win the Nobel Prize. He received the Nobel Prize in Literature in 1913 for his profoundly sensitive, fresh and beautiful verse, by which, with consummate skill, he has made his poetic thought, expressed in his own English words, a part of the literature of the West.
The question asks to identify the Chola king responsible for constructing the Brihadeshwara temple at Thanjavur. This requires knowledge of the history of the Chola dynasty and their architectural achievements.
Correct Option: B) Rajaraja Chola I is credited with building the magnificent Brihadeshwara Temple at Thanjavur. This grand temple, dedicated to Lord Shiva, was completed around 1010 CE during his reign and is a testament to the architectural prowess of the Chola period.
This problem involves Mendelian genetics, specifically dihybrid crosses. We need to determine the genotype of the tall pea plant with violet flowers based on the F1 progeny's characteristics. We'll use the principles of dominance and segregation to deduce the parental genotypes.
A) TtWW. This genotype correctly represents a tall plant (Tt) that produces both tall and short offspring when crossed with a short plant (tt), and a violet-flowered plant (WW) that produces only violet-flowered offspring when crossed with a white-flowered plant (ww).
This problem involves setting up a system of two linear equations based on the given age relationships between Chetna and Mahim at different points in time (present, 17 years from now, and 5 years ago). We will define variables for their present ages and then translate the given conditions into algebraic equations. Finally, we will solve these equations simultaneously to find Chetna's present age.
Correct Option: A) 65 years
The electronic configuration of an element describes the arrangement of electrons in its atomic shells. For a neutral atom, the number of electrons is equal to the number of protons. Therefore, to find the number of protons, we need to sum the number of electrons given in the electronic configuration.
B) 15. The total number of electrons in the given electronic configuration (2 + 8 + 5 = 15) is equal to the number of protons in a neutral atom.
The sum of a fraction and its reciprocal is 2\( \frac{25}{66} \). The greater of the two numbers is
1\( \frac{15}{22} \)
1\( \frac{5}{6} \)
1\( \frac{20}{33} \)
1\( \frac{5}{11} \)
The problem states that the sum of a fraction and its reciprocal is a given mixed number. We need to find the greater of the two numbers (the fraction or its reciprocal). We can set up an algebraic equation to represent the given information and solve for the fraction. Once the fraction is found, we can determine its reciprocal and then identify the greater of the two.
Let the fraction be \(x\). Its reciprocal will be \(\frac{1}{x}\).
According to the problem, the sum of the fraction and its reciprocal is \(2\frac{25}{66}\).
So, we can write the equation:
\[ x + \frac{1}{x} = 2\frac{25}{66} \]Convert the mixed number to an improper fraction:
\[ 2\frac{25}{66} = \frac{(2 \times 66) + 25}{66} = \frac{132 + 25}{66} = \frac{157}{66} \]Substitute this back into the equation:
\[ x + \frac{1}{x} = \frac{157}{66} \]Multiply the entire equation by \(66x\) to eliminate the denominators:
\[ 66x^2 + 66 = 157x \]Rearrange the terms to form a quadratic equation:
\[ 66x^2 - 157x + 66 = 0 \]Solve the quadratic equation using factorization or the quadratic formula. We look for two numbers whose product is \(66 \times 66 = 4356\) and whose sum is \(-157\). These numbers are \(-44\) and \(-113\). However, this is not correct. Let's try another pair. The numbers are \(-121\) and \(-36\), since \((-121) \times (-36) = 4356\) and \((-121) + (-36) = -157\).
So, we can rewrite the middle term:
\[ 66x^2 - 121x - 36x + 66 = 0 \]Factor by grouping:
\[ 11x(6x - 11) - 6(6x - 11) = 0 \]\[ (11x - 6)(6x - 11) = 0 \]This gives two possible values for \(x\):
\[ 11x - 6 = 0 \implies 11x = 6 \implies x = \frac{6}{11} \]or\[ 6x - 11 = 0 \implies 6x = 11 \implies x = \frac{11}{6} \]If \(x = \frac{6}{11}\), its reciprocal is \[\frac{1}{x} = \frac{11}{6}\].
If \(x = \frac{11}{6}\), its reciprocal is \[\frac{1}{x} = \frac{6}{11}\].
In either case, the two numbers are \(\frac{6}{11}\) and \(\frac{11}{6}\).
Now, we need to find the greater of these two numbers. To compare them, we can convert them to mixed numbers or decimals:
\[ \frac{6}{11} \approx 0.545 \]\[ \frac{11}{6} = 1\frac{5}{6} \approx 1.833 \]Clearly, \(\frac{11}{6}\) is the greater number.
Convert \(\frac{11}{6}\) to a mixed number:
\[ \frac{11}{6} = 1\frac{5}{6} \]Correct Option: B) \(1\frac{5}{6}\)