Number System - Study Mode

[#526] The digit at Hundred's place value of 17! is:
Correct Answer

(B) 0

Explanation

Solution: We know that after 5! we get one zero at the end of the number. We can say that in 17! we get minimum three zeros. The hundred's place value od 17! = 0

[#527] Ifa number K = 42 × 25 × 54 × 135 is divisible by 3 a , then find the maximum value of a
Correct Answer

(B) 7

Explanation

Solution: K = 42 × 25 × 54 × 135 K = 3 × 14 × 25 × 3 3 × 2 × 3 3 × 5 = 3 7 × 14 × 25 × 2 × 5 = It is divided by 3 7 , which is equal to 3 a (given) ⇒ So, 3 7 = 3 a a = 7

[#528] Select the correct option: Convert decimal 99 to binary.
Correct Answer

(D) 1100011

Explanation

Solution: 99 can be written as 64 + 32 + 2 + 1 = 2 6 + 2 5 + 2 1 + 2 0 ⇒ 99 in binary is 1100011 ∴ 99 in binary is 1100011

[#529] What is the largest 4 digit number that is exactly divisible by 93?
Correct Answer

(D) 9951

Explanation

Solution: Largest 4 digit number which is exactly divisible by 93 = 9999 - Remainder = 9999 - 48 = 9951

[#530] The sum of the perfect square between 120 and 300 is :
Correct Answer

(D) 1400

Explanation

Solution: Perfect squares number between 120 and 300 = 121, 144, 169, 196, 225, 256 and 289 Sum of perfect square between 120 and 300 = 121 + 144 + 169 + 196 + 225 + 256 + 289 = 1400