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Number System

Number System
A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?

42
21
24
84

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2/3 x = 28 => x = 4242 * 1/2 = 21

Number System
The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?

14
None of these
54
36

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54

Number System
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.

12
18
16
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.

Number System
What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64?

110
90
None of these
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the greater and the smaller number be g and s respectively.gs = 2560g + s exceeds g - s by 64 i.e., g + s - (g - s) = 64i.e., 2s = 64 => s = 32.g = 2560/s = 80.

Number System
(164 x 175) x ? = 258300

2
5
9
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 258300 / 164 x 175 = 9

Number System
The sum of two numbers is 25 and their difference is 13. Find their product.

114
315
104
325

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114

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