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Mathematical Reasoning

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At present, many competitive examinations have also started asking questions under mathematical reasoning. The questions that are asked under this are based on mathematical rules, whose purpose is to assess the general intellectual capacity of the test takers.

**Derived Example**

**Example 1.** How many fish can float by making at least one formation, if there is two fish in front of a fish, and two fish behind a fish and one fish between two fish Ho ?

** (a)** five** **** (b)** seven** **** (c) **four** **** (d) **three

** Solution: **(d)

Therefore, at least three fishes can float by formation.

** Example 2. **How long a monkey will touch the top of the tree of 60 feet tall, if it bounces 3 feet in one second and instantly falls 2 feet?

** (a) **60 seconds** **** (b) **50 seconds** **** (c) **58 seconds** **** (d) **57 seconds

** Solution: **(c) Total length of tree = 60 feet monkey first 3 feet in second and 2 feet below i.e. i.e. in 1 second i.e. it only climbs up to 1 (3 -2) feet.

Monkey climbs up to 1 feet = 1 second

It will climb 57 feet = 57 seconds and the remaining 3 feet will climb in the next second.

Hence the total time taken to climb the tree by the monkey = 57 + 1 = 58 seconds

** Example 3. **Some nineteenths of the 40 children were equally divided. If 20 children were more then each child would get less than 5 mts. Tell me how much was the number of sects divided in the beginning?

** (a) **200** **** (b) **300** **** (c)** 400** **** (d) **600

** Solution: **(d) Recognize initially the number of antibodies that each child receives = X

Then the total number of antlers in the beginning = 40 × x = 40x

Number of deaths for each child receiving 20 children increases = X – 5

Therefore (40 + 20) = 60 numbers of children receiving the number = 60 (X – 5)

Now, according to the question,

60 (x-5) = 40x

⇒ 60x – 300 = 40x

⇒ 20x = 300

⇒ x = 15

So the number of arrays divided in the beginning = 40x = 40 × 15 = 600

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