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What least number must be added to 213, so that the sum is completely divisible by 9?
  • a)
    3
  • b)
    2
  • c)
    1
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?
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What least number must be added to 213, so that the sum is completely ...
To find the least number that must be added to 213 so that the sum is completely divisible by 9, we need to first determine the remainder when 213 is divided by 9.

Finding the remainder:
To find the remainder, we divide 213 by 9:
213 ÷ 9 = 23 remainder 6

The remainder is 6, which means that 213 is 6 more than a multiple of 9.

Determining the least number to be added:
To make the sum completely divisible by 9, we need to add the smallest number possible that will bring the remainder to 0.

Since the remainder is 6, we need to add a number that will bring the remainder to 0 when divided by 9. The smallest number that can be added to 6 to make it a multiple of 9 is 3.

Adding 3 to 213:
213 + 3 = 216

Now, let's check if the sum 216 is divisible by 9:

216 ÷ 9 = 24

The sum 216 is completely divisible by 9, with no remainder.

Therefore, the least number that must be added to 213 so that the sum is completely divisible by 9 is 3.

Hence, the correct answer is option A) 3.
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Directions: Read the given passage and answer the question that follows.A plant species that has outlived the dinosaurs, the Cycas circinalis, a living fossil found only in the Western Ghats, faces the threat of extinction due to the overharvesting of its leaves for commercial purposes. While there are nine species of Cycas found across the country, almost all of which are classified as being endangered, the Cycas circinalis, found at altitudes between 1,500 and 1,800 meters, has traditionally been used by tribal communities for a variety of purposes. In the Nilgiris and other parts of the Western Ghats, where the plant is found, the seed is sometimes soaked in water (to remove a strong poison contained within) and ground into flour, after which it is eaten, while the seed is also said to be used in traditional, indigenous medicine. However, over the last few decades, the leaves of the circinalis, which are used for ornamental purposes like for setting up pandals have been harvested in bulk from the remaining plants, often leading to them becoming stunted and unable to reproduce and increase in number. With a single leaf costing as much as 25, the economic incentive to completely strip the plant of all its leaves in one harvest remains high for most people. Shiny Miriam Rehel, Programme Co-ordinator for the Biodiversity Restoration Programme at Keystone Foundation, speaking to The Hindu, said that circinalis plants do not grow in large numbers in the wild, and the over exploitation of the leaves from the plant has caused a further decline over the last few decades. The Keystone Foundation has been trying to promote the conservation of the species by encouraging forest-dependent communities to sustainably harvest the leaves from the circinalis. "We collect the seeds from the wild and raise it at our nursery on the Keystone campus. We then encourage farmers and tribal communities to grow the plants near to their dwellings or land holdings," said Ms. Rehel, who added that the conservation of the species needs to be assured through working with local communities, creating awareness of sustainably harvesting the leaves and ensuring that the plant itself remains healthy. Speaking of their importance, Ms. Rehel said that not only the conservation of the endangered circinalis important to protect the livelihood of tribal communities, but also for biodiversity. She said that the circinalis is an ideal host plant for ants, cupid butterflies and bats, and added that their protection will be a vital aspect of protecting the ecology of the Western Ghats in the long run.Q. Which word in the passage means native?

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What least number must be added to 213, so that the sum is completely divisible by 9?a)3b)2c)1d)4Correct answer is option 'A'. Can you explain this answer?
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