S and T can finish a work in 50 days. They worked together for 20 days and then left.
How much of the work is left?
\( \frac{3}{5} \)
\( \frac{1}{3} \)
\( \frac{1}{2} \)
\( \frac{2}{5} \)
This problem involves work and time. We need to calculate the fraction of work completed by S and T in the given time and then find the remaining work. The key is to determine the rate of work per day.
If S and T can finish a work in 50 days, their combined work rate for one day is the reciprocal of the total days.
\[ \text{Combined work rate of S and T per day} = \frac{1}{50} \text{ of the work} \]They worked together for 20 days. To find the total work done, multiply their daily work rate by the number of days they worked.
\[ \text{Work done in 20 days} = \text{Daily work rate} \times \text{Number of days} \]\[ \text{Work done in 20 days} = \frac{1}{50} \times 20 \]\[ \text{Work done in 20 days} = \frac{20}{50} = \frac{2}{5} \text{ of the work} \]The total work is considered as 1 (or 100%). To find the remaining work, subtract the work done from the total work.
\[ \text{Remaining work} = \text{Total work} - \text{Work done} \]\[ \text{Remaining work} = 1 - \frac{2}{5} \]\[ \text{Remaining work} = \frac{5}{5} - \frac{2}{5} \]\[ \text{Remaining work} = \frac{3}{5} \text{ of the work} \]A) \( \frac{3}{5} \) is the correct answer. This represents the fraction of work left after S and T worked for 20 days.
Money can be transferred using mobile phones through the service called
The question asks to identify the service used for transferring money via mobile phones. We need to evaluate each option based on its primary function and accessibility through mobile devices.
Correct Option: C) IMPS
IMPS (Immediate Payment Service) is a real-time interbank electronic funds transfer system that allows instant money transfers 24x7, including holidays. It is widely accessible through mobile banking applications, making it the primary service for transferring money using mobile phones.
To find the factors of a quadratic expression of the form \(ax^2 + bx + c\), we look for two numbers that multiply to \(ac\) and add up to \(b\). In this case, the expression is \(x^2 + x - 42\).
Correct Option: C) (x – 6)(x + 7)
To find the mean (average) of a set of data, we need to sum all the data points and then divide by the total number of data points. This is a fundamental concept in statistics.
Thus, the mean of the given data is 10.
B) 10 — As calculated, the sum of the data points is 70, and there are 7 data points. Dividing 70 by 7 gives 10, which is the mean.
The smell that we get when LPG cylinder leaks is due to the presence of
Nitrogen peroxide
Carbon monoxide
Sulphur compound
Carbon dioxide
The question asks about the substance responsible for the characteristic smell of an LPG leak. LPG (Liquefied Petroleum Gas) itself is odorless. To ensure safety, a strong-smelling substance is added to it so that leaks can be detected easily. We need to identify this additive.
C) Sulphur compound. Ethyl mercaptan (ethanethiol), which is a sulfur compound, is added to LPG to give it a detectable smell in case of a leak.
Blotting paper absorbs ink due to
Coarse nature of paper
Osmosis
Capillary action
Siphoning
The question asks about the physical principle behind blotting paper absorbing ink. We need to identify the phenomenon responsible for the upward movement of liquid (ink) into the porous structure of the paper.
Correct Option: C) Capillary action is the process by which a liquid flows in a narrow space without the assistance of, or even in opposition to, external forces like gravity. Blotting paper is highly porous, and the ink is drawn into these tiny pores (capillaries) due to the surface tension of the ink and the adhesive forces between the ink and the paper fibers.
The question asks to identify the recipient of the C.K. Nayudu Lifetime Achievement Award for the 2014-15 season in cricket. This is a factual question related to sports awards, specifically in Indian cricket. To answer this, one needs to recall the recipients of this prestigious award for the specified year.
A) Syed Kirmani was indeed the recipient of the C.K. Nayudu Lifetime Achievement Award for the 2014-15 season. He was a distinguished wicket-keeper batsman for the Indian cricket team.
The question asks for the least distance of distinct vision for a normal human eye. This is a standard physiological constant related to the eye's ability to focus on nearby objects.
C) 25 cm is the internationally accepted and physiologically determined least distance of distinct vision for a normal human eye. Objects closer than 25 cm appear blurred because the eye's lens cannot converge the light rays sufficiently to form a sharp image on the retina.
Four pairs of words are given. Find the odd one out.
5th June : World Environment Day
22nd April : Earth Day
22nd March : World Water Day
22nd May : World Sparrow Day
The question asks to identify the odd one out among four pairs of dates and their associated international days. This requires knowledge of important environmental days and their correct dates.
Correct Option: D) 22 nd May : World Sparrow Day
This pair is incorrect because World Sparrow Day is observed on 20th March, not 22nd May. 22nd May is observed as the International Day for Biological Diversity.
The question asks for the definition of an IP address. We need to identify the option that accurately describes what an IP address is in the context of computer networking.
Correct Option: A) A numerical network label. This accurately describes an IP address as a unique numerical identifier assigned to devices on a network for communication.