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Number System

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

11050.75
12025.50
11025.75
12025.75

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
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

25
50
75
12.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

116
120
124
112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

Number System
What is the sum of all the composite numbers up to 20?

130
131
132
128

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132

Number System
What is the difference between the local values of 3 in the number 53403?

2997
3030
0
3003

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3000 – 3 = 2997

Number System
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

24
25
26
23

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

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