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Q #21
:

Directions: Read the following information to answer the question.

Find out the last digit of 329 ?



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Answer:3 Explanation: here cyclicity of 3 is 4. 29/4 gives remainder 1 . So 3^1=3 Hence proved.

Q #22
:

Directions: Read the following information to answer the question.

What will be last digit of 22^45 ?

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Answer:2 Explanation: 22^45 we will take base 2 here .so we will use cyclicity of 2 here. 45/4 gives remainder 1 so 2^1=2. hence proved

Q #23
:

Directions: Read the following information to answer the question.

What is the units’ digit of 2^83 +3^92 +7^29?

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Answer:6 Explanation: unit digit of 2^83 is 8. unit digit of 3^92 is 9. unit digit of 7^29 is 7 so (8+9+7)=24 gives unit digit 6. Hence proved.

Q #24
:

Directions: Read the following information to answer the question.

What will be the last digit of 2^22 x 3^45 x 9^81 x 6^66?

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Answer:8 Explanation:unit digit are 4,3,,9 and 6 respectively On solving we get 8 as a unit digit.

Q #25
:

Directions: Read the following information to answer the question.

What is the last digit of 5^2879 x 4^8945 x 2^127 x 7^249?

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Answer:0 Solution:unit digits are 5,4,8,7 respectively So onsolving we will get 0 as unit digit.