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Number System

Number System
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

7
3
11
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7

Number System
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number?

360
270
295
240

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.

Number System
Twenty times a positive integer is less than its square by 96. What is the integer?

Cannot be determined
24
20
30

ANSWER DOWNLOAD EXAMIANS APP

Number System
Simplify the 121 * 175 + 363 * 275

316600
None of these
328100
363000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

121 * 175 + 363 * 275 => 121 * 175 + 121 * 3 * 275121 * 175 + 121 * 825= 121 * (175 + 825) = 121000

Number System
The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ?

84.5
82.5
85.5
83.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 165x - y = 92x = 174                         ∴ x = 87 and y = 78∴ x + y/2 = 165/2               = 82.5

Number System
What is the sum of all the numbers between 300 and 1000 which are divisible by 179?

2527
2506
2517
2607

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

358/179 ….. 895/179179(2 + 3 + 4 + 5) => 2506

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