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Number System

Number System
Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these number

None
18
24
32

ANSWER DOWNLOAD EXAMIANS APP

Number System
If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ?

10
8
9
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9

Number System
Of an amount, 20% of 25% of 30% is Rs 75. Then what is the original amount ?

Rs. 5000
Rs. 3000
Rs. 4000
Rs. 2000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the amount be x.∴ X x 20/100 x 25/100 x 30/100 = 75∴ X = 75 x 5 x 4 x 10/3  = 5000

Number System
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

5
8
2
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3=> x + 3 = 11 => x = 8

Number System
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

370
145
253
352

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the middle digit be x. Then, 2x = 10 or x = 5.So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.

Number System
What is the value of ? in the following equations ? 72/? = ?/50

100
40
60
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60

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