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Q #26
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Directions: Read the following information to answer the question.

HCF of 3240, 3600 and a third number is 36 and their LCM is 24 × 35 × 52 × 72. The third number is:

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Q #27
⏰ :

Directions: Read the following information to answer the question.

There are four prime numbers written in ascending order. The product of the first three is 385 and that of the last three is 1001. Find the first number.

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385 = 5 × 7 × 11, 1001 = 7 × 11 × 13 ? First no. = 5 (5, 7, 11, 13)

Q #28
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Directions: Read the following information to answer the question.

There are two friends – Mr. Additive and Mr. Multiple. Both pass through a hall containing 100 doors numbered 1 to 100. As they walk through the hallway from door number 1 towards 100, Mr. Multiple multiples the number written on the doors with the product of number on all previous doors and tells it to Mr. Additive, who adds it with the previous number that Mr. Multiple had calculated. At the end of the hallway, what is the number in the unit place of Mr. Additive’s final answer?

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Let the result of the multiplication and the addition be x. x = 1 + (1 x 2) + ( 1 x 2 x 3) + ……..+ ( 1 x 2 x 3 x 4 x ……..x 100) x = 1! + 2! + 3! + 5! +……..100! 5!, 6!, 7!,…….all the numbers will end with zero. ?The unit digit of x = unit digit of (1! + 2! + 3! + 4!) ? The unit digit of x = 3

Q #29
⏰ :

Directions: Read the following information to answer the question.

Prime number is a number, which does not have any other factor except one and itself. If all prime numbers from 2 to 200 are taken and their product is found out, how many zeros would there be at the end of the resulting product?

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Only even prime number is 2 and only prime number ending with 5 is 5. ? Only 1 zero would be there in the end

Q #30
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Directions: Read the following information to answer the question.

A book having 700 pages his its pages numbered from 1 to 700. If we count all the 3’s in the page numbers, how many 3’s will be there?

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From 1 to 100, we have number like 3, 13, 23, 33 etc. which are 10 in number. Then number 30 to 39 have one 3 extra each giving 10 threes. So, upto hundred, we have 10 + 10 = 20 threes. Since we have 700 pages we have number of 3’s as 7x20 = 140 Then all the 100 numbers from 300 to 399 have one 3 extra each giving a hundred 3’s So totally, 240 threes.