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CTET Logical Questions




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Q #11
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Logical Question

Directions: Read the following information to answer the question.

What is the Least 3 digit number that is exactly divisible by 4, 7 and 8?

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Answer : 112 Solution: LCM of 4,7,8 is 56 The smallest 3 digit no. that can be divided by 4,7,8 will also be divided by 56. (56*2=112)----3 digit no. So 112 is the smallest 3 digit no. i.e. closest to 100 and of 3 digits. Hence proved

Q #12
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Logical Question

Directions: Read the following information to answer the question.

What is the highest number that will divide 68 and 84 leaving a remainder of 3 and 6, respectively?

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Answer:13 Explanation:68-3=65 84-6=78 Hcf of 65 and 78 is 13. Hence proved.

Q #13
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Logical Question

Directions: Read the following information to answer the question.

What will be the highest power of 3 that will exactly divide 83!?

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Answer: 40 Explanation: formula is: (X!/prime no.)+(X/prime no^2)……..continued till prime no. don’t get bigger than X NOTE: take the whole value you get ondividing. 83/3+83/9+83/27+83/81=27+9+3+1=40 Hence proved.

Q #14
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Logical Question

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 #15
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Logical Question

Directions: Read the following information to answer the question.

What is the remainder of (8^5) ÷ 7?

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(8^5)/7…..here 8/7=1 remainder.