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Number System

Number System
Sum of the digits number is 8 and their product is 12. Find the difference between the digits?

None
4
2
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4

Number System
In how many different ways can the letters of the word 'DETERMINE' be arranged ?

62480
60480
63480
61480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of arrangements = 9! / 3! Because, E comes 3 times = 60480

Number System
If 5/7 of a number is 145, what is 180% of that number ?

355.4
345.4
375.4
365.4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 5/7 = 145∴ x = 145 x 7/5 = 203Now, 203 x 180/100 = 365.4

Number System
If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ?

260
60
120
180

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120

Number System
What is 25/2% of 482 times of 183 ?

12025.50
11025.75
12025.75
11050.75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

25/2% of [482 x 183]= 25/2% of 88206= 25/2 x 88206 / 100= 88206 / 8= 11025.75

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:

145
352
370
253

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.

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