Question
Determine the number of trailing zeros in the product of
the following numbers: 11 × 22 × 33 × … × 2222Solution
Total number of 5’s in the given expression: 55 = 15 × 55 = 5 1010 = 210 × 510 = 10 1515 = 315 × 515 = 15 2020 = 420 × 520 = 20 Total number of 2’s in the given expression: 22 = 2 44 = (22)4 = 28 = 8 66 = (2 × 3)6 = 26 × 36 = 6 88 = (23)8 = 224 = 24 1010 = 210 × 510 = 10 So, total number of 5’s in the given expression = 5 + 10 + 15 + 20 = 50 And, at least 50 2’s in the given expression So, number of zeroes at the end of the product = 50Â
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if t...
In the following question, some conclusions are given and some statements are given you have to take the given conclusions to be true even if they seem...
Statement : Â
All balls are pencils.
All keys are balls.
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Conclusion:
I. At least some pencils are keys.
II. All pencils are balls.
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Few Cars are Buses
Only a few Buses are Trains
All Trains are Helicopters
Conclusion:
I. Some Buses are... In the questions given below, there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be...
Statement : Â Â Â Â Â Â
Some plugs are tablets.                           Â
No tablet is a door.   �...
Statement:
No black is blue
Some black are red
Only a few blues are orange
Conclusion:
I. All red can never be blue
Statements:
Only a few necklaces are chains.
No chain is a bracelet.
All bracelets are bangles.
Conclusions:
I. No ba...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
Some tyres may be flowers. Some jungles are not rains. Some flowers are petals.
