The question asks for India's ranking in the Global Innovation Index (GII) for the year 2020. This requires recalling specific factual information about international reports and rankings.
Correct Option: B) India's ranking in the Global Innovation Index 2020 was 48th. This was a notable improvement from its 52nd position in 2019.
The question asks to identify a Maharatna Public Sector Undertaking (PSU) from the given options. This requires knowledge of the different categories of PSUs (Maharatna, Navratna, Miniratna) and the companies classified under them by the Indian government.
B) BHEL (Bharat Heavy Electricals Limited) is a Maharatna PSU. It is one of India's largest engineering and manufacturing companies, operating in the energy and infrastructure sectors.
The question asks to identify the odd pair of words from the given options. This implies that most pairs will share a common relationship, and one pair will have a different relationship. In this case, we need to look for antonyms (opposite meanings) or synonyms (similar meanings).
D) Docile : submissive — This pair consists of synonyms, whereas all other pairs are antonyms.
Select the number that can replace the question mark (?) in the following equation.
12 + 8 − 5 × \( \frac{1}{2} \) × 12 − {45 ÷ (34 − 19)} = ?
To solve this problem, we need to follow the order of operations, often remembered by the acronym BODMAS/PEMDAS. This means we should perform operations in the following order: Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), and Addition and Subtraction (from left to right).
Thus, the value of the expression is \(-13\).
Correct Option: C) -13
What is the area of the compound shape?
135 square units
21 units
114 units
114 square units
The compound shape can be divided into two rectangles. Calculating the area of each rectangle and summing them will give the total area of the compound shape.
Correct Option: A) 135 square units
The question asks to identify the Indian states that share a border with Pakistan. This requires knowledge of the geographical boundaries of India and its neighboring countries.
Correct Option: B) a, b and c
Gujarat, Punjab, and Rajasthan are the three states among the given choices that share a border with Pakistan. The border between India and Pakistan is approximately 3,323 kilometers long. It runs along the states of Gujarat, Rajasthan, and Punjab, and the Union Territories of Jammu & Kashmir and Ladakh.
The fractions \( \frac{1}{3} \), \( \frac{4}{7} \),\( \frac{2}{5} \) written in ascending order are:
\( \frac{4}{7} \), \( \frac{1}{3} \), \( \frac{2}{5} \)
\( \frac{2}{5} \),\( \frac{4}{7} \), \( \frac{1}{3} \)
\( \frac{1}{3} \), \( \frac{2}{5} \), \( \frac{4}{7} \)
All the fractions are equivalent fractions.
To arrange fractions in ascending order, we need to compare their values. This can be done by converting them to decimals or by finding a common denominator (LCM) and then comparing their numerators.
This is often the quickest method for comparison.
Now we have the decimal equivalents:
Arranging these in ascending order (smallest to largest):
\[ 0.333... < 0.4 < 0.571 \]So, the ascending order of the fractions is:
\[ \frac{1}{3} < \frac{2}{5} < \frac{4}{7} \]C) \( \frac{1}{3} \), \( \frac{2}{5} \), \( \frac{4}{7} \) — This option correctly lists the fractions in ascending order based on their decimal values.
This problem involves work and time. We will calculate the individual work rates of Ali and Balvinder, then find their combined work rate. Using the total work done by all three in 4 days, we can determine Chander's work rate and subsequently the time Chander takes to complete the work alone.
Calculate Ali's one-day work:
Ali can complete the work in 8 days. So, Ali's one-day work is:
Calculate Balvinder's one-day work:
Balvinder can complete the work in 10 days. So, Balvinder's one-day work is:
Calculate the combined one-day work of Ali, Balvinder, and Chander:
All three together complete the work in 4 days. So, their combined one-day work is:
Calculate Chander's one-day work:
Chander's one-day work is the combined one-day work minus the sum of Ali's and Balvinder's one-day work.
Calculate the number of days Chander takes to complete the work alone:
If Chander's one-day work is \( \frac{1}{40} \), then Chander can complete the entire work in 40 days.
Correct Option: B) 40 days
The question asks to identify the device used for measuring relatively high temperatures, such as those found in furnaces. We need to evaluate each given option based on its primary function.
Correct Option: C) A pyrometer is specifically designed for measuring high temperatures without physical contact, making it suitable for applications like furnaces.